{"text":"Question: Let g = -142.411 + 143. Let x = -0.632 - g. Let w = x + 0.061. What is w rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.12, 2, 0.25 in ascending order.\nAnswer: -0.12, 0.25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 71494 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 14*c**2 - 2783*c - 656. Give i(199).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b + 32*b + 5 - 5.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 - 29*t**2 - 30*t + 2. Determine u(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59 = -4*m + a, 756 - 800 = -4*m + 4*a for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 l, and 1 i when three letters picked without replacement from ltxhhltiwhii.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of -b**6\/6 + b**5\/2 - 5*b**3\/3 + 5*b**2\/2 + 9*b + 13. Let j(c) be the first derivative of w(c). Let j(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 7:45 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -130 - -129.6. What is the third smallest value in t, 4, -33?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) - 2*(sqrt(95) - 2*sqrt(95)) - (sqrt(95) - (sqrt(95) - 2*sqrt(95)))*-3)\/(sqrt(720)*2*6).\nAnswer: sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l - 28 = 4*n, -14*n - 12 = -18*n + 4*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -16*s**2 + 4*s. Determine c(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 241996 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2590 - 590. What is m rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 + 27*h + 77. Let m be u(-21). Let d = m + 64. 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: Two letters picked without replacement from biifrbiisbrriftibiri. What is prob of picking 1 b and 1 r?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -39 in increasing order.\nAnswer: -39, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -5*q**2. Let z(b) = b**2 - b + 1. Let l(g) = -g**2 + 2*g - 2. Let i(r) = -3*l(r) - 6*z(r). What is i(n(o))?\nAnswer: -75*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bkkcbbkkckbk. Give prob of sequence bk.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, v: 1, r: 2, p: 2, z: 2}. What is prob of picking 1 r, 1 x, and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 109016 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 43256812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -31218 (base 9) in base 10?\nAnswer: -20591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29314755*i**3*n + 124*i**2*n + 2*i**2 - 28*i*n + 34*n - 1 wrt i.\nAnswer: -175888530*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/164399 + 3616764\/1150793. Factor 20\/7*c**3 - z*c**2 + 2\/7*c**4 + 0 + 0*c.\nAnswer: 2*c**2*(c - 1)*(c + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12595 - -12593. Sort u, 27, -6 in descending order.\nAnswer: 27, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 1, 2, 7, 16?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 9*j - 5. Suppose 2*q - 23 = -5*z + 3*q, 0 = -4*z - 2*q + 10. Calculate the remainder when c(6) is divided by z\/(-6) - (-69)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/4*81*(-28)\/3. Let p = 920 - n. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-6))\/(((-28)\/80)\/(7854\/(-935)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 5735.77389s?\nAnswer: 0.009483753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2162, -0.5, 1 in ascending order.\nAnswer: -0.5, 1, 2162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 259, 954, 1979, 3226, 4587, 5954?\n\"Answer: -18*m**3 + 273*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of 13*a**7\/6 + 6*a**4 + 174*a. Find the third derivative of y(l) wrt l.\nAnswer: 5460*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (58\/(-31) - -1) + 62*89\/5518?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 1493 = 5*h - 4*v, 0 = 2*h + v + 597. Let d = -296 - h. What is the remainder when 93 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/((h*h*h**6\/h)\/h)*((h*h**30)\/h)\/h*h)\/(h**(4\/9))**4 assuming h is positive.\nAnswer: h**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.993 + -0.007. Let n = -0.0655 - -76.7655. Let r = n + -77. Which is the biggest value?  (a) i  (b) -0.1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112 = 21*z - 71 - 27 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2220 + -2190. Solve -i*u + 28*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**32*m)\/(m**2\/m))\/((m**(17\/5)\/m)\/m**(-29)) assuming m is positive.\nAnswer: m**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - 11. List the prime factors of 4 - ((-10)\/8 - (-1293)\/y).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16 + 16. Suppose -q + a*i = -4*i - 13, -3*q + 71 = 4*i. What is the highest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 5*j = 2318, 2*j + 676 + 2406 = 4*n. Let c = -361 + n. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30 + 30. Let w(k) = l + 34*k + 1 - 27*k - 3. What is w(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*g - 34*g + 18*g.\nAnswer: -56*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2684, -5370, -8056?\n\"Answer: -2686*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 1:26 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 45*(-4)\/36 - -9. Factor 0 + 2\/3*l - 2\/3*l**3 + 2\/9*l**2 - 2\/9*l**m.\nAnswer: -2*l*(l - 1)*(l + 1)*(l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 12 = -4*u, -2 = 3*u - 16*o + 20*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 265 = -7*k + 293. Suppose -2*j = -k*a - 56, 65 + 3 = 3*j + 2*a. Calculate the greatest common divisor of j and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*c**2 - 4*c**2 - 3*c**2 + 23*c**2 - 8*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -206 - -16. Let u = t + 386. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11.9933 + 12. What is q rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2190 and 781100.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 - 27. Suppose q*m - 3*m = 5. Solve 5*k + 40 = -m*v, -3*k = v - 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -5\/3  (b) -2\/389  (c) 0.2  (d) 17  (e) -1\/8  (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.947 to 1 dp.\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 - -40. Let d be 1373644\/(-440) - 12\/v. Let t = d - -3128. Calculate the common denominator of t and 73\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**2 - 6*m + 2*m + 5*m - 2*m**2 - 2*m**2 + 2*m**2 + (m**2 + 0*m**2 + 0*m**2)*(-1 - 4 + 3).\nAnswer: -6*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 281*n**2 - 416*n - 419. Calculate p(-1).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -5. Let m = 1 - d. Suppose -m*o + 24400 = 2*o. Round o to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1\/3))**5)**(-1) assuming c is positive.\nAnswer: c**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -5*m**4 - 25*m**3 - 15*m**2 + 10. Let g(j) = j**3 - j**2 - 2. Let w(q) = 5*g(q) + z(q). Determine v so that w(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 4 = -l + 8, -10 = -3*d - 2*l. Suppose 5*c + 1 + 23 = q, c - 4 = -d*q. What is the second derivative of 8*f**4 - 12*f**q - 2*f - f + 13*f**4 wrt f?\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**(-3\/8)*i*i)\/i*i**2 assuming i is positive.\nAnswer: i**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 5*g = 2*v - 28701, 4*v - g - 57369 = 0. Suppose -4*h - 334996 = 5*c, -5*h - 81338 + v = c. What is c rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104 + 11 - (159 - 319)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from woowssqwwl. What is prob of sequence qw?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/((-2)\/656*10). Let q = r + -66. What is the nearest to -1 in q, 0.1, 6\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**5\/5 + 426*p**4\/5 + 34644*p**3\/5 + 1325236*p**2\/5 + 23382762*p\/5 + 29887866 = 0. What is p?\nAnswer: -59, -53, -27, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 49376\/(-15430)*(-15)\/4*2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 248 divided by -8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 2 - -8 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 51a0a - 1?\nAnswer: 51a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - 22*q - 23. Let y be z(23). Suppose -5*b + 2*g + 74 + 1191 = 0, y = 2*g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 365*g - 326*g. Which is smaller: -1\/2916 or g?\nAnswer: -1\/2916","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b**4 + 3*b**4 - 3*b**4)*(b + 2*b + 3*b)*(8 - 23 + 5).\nAnswer: 240*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9012846 is divided by 896?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 1\/5, 3, 0.98?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -888, -1804, -2760, -3762, -4816?\nAnswer: -5928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1*(6 + 3 + -5 - (-508 - -3)). Do o and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 10:53 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -6 - -2 - -8 - (5 + -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25 + 38. Let f(t) = -t**2 + 15*t - 19. Let k be f(d). Suppose k = 2*z - 1. What is the third smallest value in 0.1, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 214*f + 3400 = 222*f. Let x be (f\/51 - 7)\/((-20)\/(-6)). Which is the closest to 0.6?  (a) -3  (b) 0.3  (c) 5  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -9. Let t = l + -4. Let f = t - -8. Solve -22 = 4*h - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-324625)\/(-315))\/25 - (1 - 14\/18). Solve v*a - 33 = 30*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 248 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 - -18. Suppose 3*l - a - 3 = t, 5 = 7*l - 2*l - 3*a. Solve -3 = -h - l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in fourty-five halves of a millennium?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17838?\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 810 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, e: 2, y: 2}. Give prob of sequence yeel.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4429a2 (base 12) in base 13?\nAnswer: 2bc01c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*r - 472 + 407. Let t be 2\/(-14) - 66\/(-21). Sort t, -1, -12, r in descending order.\nAnswer: r, t, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 646*c + 638*c + 60 = 0, -9*f + 3*c = -15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8027140 divided by -620?\nAnswer: 12947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 1104 + 2671 = -h, 3*h = -4*v + 5016. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1625874 is divided by 5665?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*g - 14*g + 22*g + 283*g**3.\nAnswer: 283*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9*9\/(-162)*(-666)\/9.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 7*h + 1 - 4 + 0 - h**2. Let x be l(6). Let v be (x*-5)\/3 + 0. Put 0, -1, v in ascending order.\nAnswer: v, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 7, -5, 370, 3, 4.\nAnswer: -5, -4, 3, 4, 7, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 5*d**2 - 175*d + 148. Suppose 0 = 5*l - 4*y - 88, -4*y = y - 15. What is the smallest common multiple of b(35) and l?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7216 and 67117?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34 + -28 - (-2 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + -1 + 5 + 3\/(-1). Suppose 3*k - 8 = 2*j, h = 7*k - 4*k - 12. Let x be (-1 - -9)*(-8)\/16. Which is the closest to j?  (a) x  (b) -2\/7  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 4*y = 0. Let t = 155\/7 - 22. Let n = 2000\/9 - 222. What is the nearest to -0.2 in t, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -18. Solve -z - 3*z = x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3495732 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 22, -0.1 in decreasing order.\nAnswer: 22, 5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 16474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b + 2. Let r = -1082 - -1078. Determine y(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6144617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b**3 + 7*b**2 + 2*b - 2. Let g(o) = -o + 1. Give -2*g(j) - l(j).\nAnswer: -3*j**3 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 9:44 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of 2*u**6\/9 + 152. Factor r(g).\nAnswer: 4*g**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-6)\/(k\/(k\/(k**(2\/7)*k*k))))\/(k*k\/(k**8*k*k)*k**(-2\/17)))\/((k**(-1)\/k)**(-42))**(13\/2) assuming k is positive.\nAnswer: k**(-64994\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 59*y - 616. What is u(6)?\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 13 + 348\/(-30) - (-59)\/(-35). Sort -3, -1\/4, 1\/8, f, 390 in increasing order.\nAnswer: -3, f, -1\/4, 1\/8, 390","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*a**3 - 28*a**3 - 3*a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/3724 and 59\/686.\nAnswer: 26068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - -7. Suppose -i - 5*t = -g*t - 13, 28 = 4*i - 4*t. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1087, 1159, 1277, 1441?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.68 and 4534.\nAnswer: -7617.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 518*f**2 + 34*f - 74. List the prime factors of y(2).\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 h when three letters picked without replacement from {r: 2, a: 1, p: 1, s: 2, h: 1, i: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + ((-3 - -2) + -4 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1016*z + 26*z**2 + 5*z**2 - 1016*z.\nAnswer: 31*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, f: 1}. What is prob of sequence tf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96 = 50*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 PM and 10:55 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-2704)\/338*((-11)\/2684)\/(1\/1)\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -58*s - 368. Calculate the remainder when v(-7) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-63832 + 63832 + 167*k)*(4*k + 2*k - 3*k) - k**2 - 3*k**2 + 2*k**2 in the form u + a*k + l*k**2 and give l.\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14.07 + 134.77. Let k = 120.700727 - c. Round k to 5 decimal places.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3849226.1 to the nearest 10000.\nAnswer: 3850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7889*x + 16002*x = -9401*x - 554202 + 2375658 for x.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4a + 4d87?\nAnswer: 4dd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 0 = 4*a. Is a + -4 + -2 - -36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1368 in -9, 0.5, -5, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2*u - 2. Let w(c) be the first derivative of 1\/5*c**5 + 0*c**4 - c**u + 0*c**3 + 0*c + 1. What is the second derivative of w(f) wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24940 - 24940.1. Sort -3, 6, -0.3, i in increasing order.\nAnswer: -3, -0.3, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h + 12. Let i be k(-9). Let w = 8 - i. What is the remainder when w is divided by (-574)\/(-49) + (-4)\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (0 + (5 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2239 - 2234. Put b, 234, -3, -59 in descending order.\nAnswer: 234, b, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 234920923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 5*c - 7. Suppose 0 = 10*u - 6*u + 24. Let z(y) = 3*y**2 - 6 - 4*y**2 - 2*y - 2*y. What is u*z(g) + 5*j(g)?\nAnswer: g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51101 is divided by 6390.\nAnswer: 6371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11523 + 11523.4829. Let k = -0.0039 + i. What is k rounded to 2 decimal places?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3598337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119003807 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.91 + 0.43. Let f = p - 0.02. What is the third smallest value in 9\/2, f, -1?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 314 - 210. Suppose -36 = -105*u + g*u. Calculate the greatest common factor of 24 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 76 or 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1153 - x - 2*x + 0*x - x + 0*x.\nAnswer: -4*x + 1153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkvvkvkkvk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0.172, -5, 5, -1 in descending order.\nAnswer: 5, 0.172, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 42696, 42701, 42708, 42717, 42728?\n\"Answer: r**2 + 2*r + 42693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the second derivative of 17*k**5\/60 + 168*k**2 + k - 89. Let g(s) be the first derivative of o(s). Let p(l) = -17*l. Give g(p(x)).\nAnswer: 4913*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of 1\/6*k**3 - 1\/12*k**4 + 0*k**2 + 0 - 3*k. What is the second derivative of h(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - 0) + (-525 - -518) + 21 + -3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00440971 rounded to 5 decimal places?\nAnswer: 0.00441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(50) + (2*sqrt(250))\/sqrt(5) + sqrt(50) - sqrt(50) - sqrt(50) - sqrt(50)) + 3*sqrt(200))\/(1*sqrt(1440)*1*-2).\nAnswer: -7*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0532481 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*o + 33*o - 90 = 0. Calculate the remainder when 63 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4969225 is divided by 944.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, -5, 5, 518 in descending order.\nAnswer: 518, 15, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -39174 divided by -41\nAnswer: 39174\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccccgzcpcccgcca. Give prob of picking 1 a and 1 z.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 3.0718.\nAnswer: -8.0718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -902, -1795, -2688?\nAnswer: -3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2535, 2400, 2265, 2130, 1995?\n\"Answer: -135*k + 2670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2 - v**2 + 0*v**2 + 10*v**3. Determine h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/3))**36*b*b**6*b\/(b**6*b))\/(b**4*((b**2*b)\/b)\/b*b)**34 assuming b is positive.\nAnswer: b**(-179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (1 + -46 - (12 - (28 + -8)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/22 in 772, -1, -16\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156 is divided by 81.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 26 in -567, 0.4, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(196\/588)\/(32\/(-66)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 320 - 4798\/15. Let s = f - 7\/15. Is -1 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of c**3\/6 + 3*c**2\/2 + 4*c - 1. Let x(o) be the first derivative of k(o). Give x(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 76\/915 and ((-1162)\/(-693))\/(366\/9).\nAnswer: 10065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1130686 is divided by 457.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 72 = -4*z. Suppose 5*n = 3*q - 153, 2*n + 30 = 2*q - z. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**5 + 188*v**4 - 4418*v**3.\nAnswer: -2*v**3*(v - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1484052 a multiple of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 29040\/13  (b) -2\/11  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/7  (b) 46  (c) 2  (d) -12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 869555 not equal to 6086894\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -5*q + 20, -3*b + q + 10 = -4*q. Suppose 0 = -3*l - 0*l - 6, 4*y - 302 = b*l. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.740877 decades in centuries?\nAnswer: 0.7740877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.034 in -1, 0.76, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 254*((-14)\/(-4) - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-113 - 424004\/(-3752))*(2 - 4)\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -101310 at least as big as -2330137\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 1650*x**2 - 255*x. Let q(n) = 13*n**2 - 2*n. What is -6*c(p) + 765*q(p)?\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 684*x + 193. Is k(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from fggsfedodedffdd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of -19*c**2\/2 + 3*c + 11. Let b be t(-6). Suppose 3*k = -3*o + b, -o + 4*k + 26 = -8. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -6  (b) 0.1  (c) -2\/9  (d) 5\/2  (e) -2  (f) 1\/7  (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5533285663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1137 = -2*k - 5*p, p = 2*k - 4*k + 1125. Let o = 901 - k. List the prime factors of o.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28 - 18. Let v be (9\/(-15))\/(-4 + 42\/a). Put -0.1, 0.4, v in decreasing order.\nAnswer: 0.4, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.075847 times 0.5\nAnswer: -0.0379235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0*7\/21 + 4 + (-138)\/33. What is the third biggest value in 1, -0.06, 4, l, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - 7499)*-380 + 0. Suppose 0 = 4*b - b + d. What is b rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 96 + 86. Suppose -5*n = m - 4, 0 = -4*m + 3*n - 4*n + 149. Calculate the highest common factor of g and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence apx when three letters picked without replacement from axxcxxaxppaxa.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10*6\/45 - (-3849)\/9. Let u = -415 + d. Solve -3*g + u = -a, 3*a + 18 = -2*g + 3*g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13.9126 millimeters to meters.\nAnswer: 0.0139126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/56*-1)\/(-22 + 27)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59821 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-63)\/(-140) + (-1)\/4)*(312 + -117)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 - 81 = -5*j - 10*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 139 + 18. Let i = c + -67. Let l = -89.878 + i. What is l rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -3*x - 681, -x + 4*i = 27 + 192. Let n be 11\/x - 1\/(-3). Factor -n*o**5 + 6\/7*o + 2\/7 - 4\/7*o**3 - 6\/7*o**4 + 4\/7*o**2.\nAnswer: -2*(o - 1)*(o + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 175 - 175. Suppose -4*x + 1586 + 394 = j. Calculate the greatest common factor of 45 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 26 = -8. Solve m - 7 + k = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-29*32\/348)\/(((-1)\/(-20))\/((-45)\/240))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -53819240 to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-21)\/(-3)*4\/28. Suppose 0 = 2*b + b. Sort b, 4, -2, w in descending order.\nAnswer: 4, w, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 6 - 555*f + 554*f - 5.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 8:13 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1416 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*a*d*n**3 - 3*a*d*n**2*x - 234*a*n**3*x - a*n**3 + 67*d*n*x - 76*n**2*x wrt n?\nAnswer: 18*a*d - 1404*a*x - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59565 divided by 55.\nAnswer: -1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 3*l**2 + 3*l**2. Let k(z) be the third derivative of z**2 + 0*z**3 + 0*z + 1\/60*z**5 + 0 + 0*z**4. Calculate j(k(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 6 * -15\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (48\/(-8) - -2)*(-3)\/2. Let x(m) = 16*m**2 + 6. Let h(y) = 15*y**2 + 5. What is q*x(w) - 7*h(w)?\nAnswer: -9*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -164, -131, -98?\n\"Answer: 33*a - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 444225019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.2 - -3.6. Let y = 2\/245 + 237\/980. Sort y, -3, r in ascending order.\nAnswer: -3, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3*z - 10721 = 1375, 0 = -l - 4*z + 3024. Does 63 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence omqq when four letters picked without replacement from oqqqlloqmolmmllmqqo.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 582828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16032, -32065, -48098, -64131?\nAnswer: -80164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a centimeter in millimeters?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55727692 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 3*i**3 - 33*i**2 - 35*i - 2. Let s be a(12). Let g(j) = -j**3 - j**2 + j - 1. Let q be g(-3). Solve o + 2*o - s = z, 4*o - q = 2*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(-2))\/(2\/4). Let c be 0 + 2 + 0 + 16. Suppose -24 = 5*i - f - 0*f, -3*f - c = 3*i. Sort y, i, -2 in decreasing order.\nAnswer: y, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*(-2)\/4*1. Solve 3 - 3 + 2*y**4 - 9*y**x + 7*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 127, -1, -5\/4, 28.7, 0.1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 90\/50 - -3 - (-12)\/(-15). Solve -5*f - r*f = -7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 712*i**2 + 386*i**2 + 4*i**4 + 211*i**2 as m*i**4 + q + g*i**3 + v*i**2 + x*i and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 25, -10, -13 in increasing order.\nAnswer: -13, -10, 0, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 6 + 4)*(1 - 1 - n**2)*(-3 + 0 + 2) - 1 + 1 + 2*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(2\/53))\/(q\/(q*q**13\/q)*q) assuming q is positive.\nAnswer: q**(634\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 49567404 and 55476.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18.8 - 10.7. Let h = -8.2 + g. What is the fourth biggest value in -1\/3, 3, h, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 351076000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1202 - -3311021103?\nAnswer: 3311014401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133 is divided by 49.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.1, -1.78, -2, -76, -238?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18643 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 0*y - 7 = -y, -y = -x + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4241 less than -164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((-1 + sqrt(192))*5)**2 - 4*(3*sqrt(3) + 0)*-4)*-3 + 4.\nAnswer: -72371 + 5856*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cvrvrzccjvjv. Give prob of picking 1 z and 3 c.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (-10 - -7) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -195*i**2 + 530856 - 176952 - 176950 - 176954.\nAnswer: -195*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*n**5*v - 15014*n**3*v**2 + 4*n*v**2 + 10*n*v - v**2 - 691 wrt n?\nAnswer: 180*n**3*v - 90084*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 876.179ml?\nAnswer: 0.876179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 8\/5, -4577, -5, 249?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -38278*a*y**3 + 2*a*y**2 - 1205022*a*y - 2*y**3 + y**2 - 5*y wrt y?\nAnswer: -229668*a*y + 4*a - 12*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 308219\/4 or -2?\nAnswer: 308219\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4861 greater than or equal to -0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4018*b**5 + 298*b**4 + 2*b**3 - 2*b**2 + 76743*b + 51 wrt b.\nAnswer: 241080*b**2 + 7152*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 0 = -x. Let a = x + -20. What is the units digit of (1\/3)\/(a\/(-630))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/57 + (-162639)\/(-171). What is the first derivative of 49*f**2 - 38 - c*f + 951*f wrt f?\nAnswer: 98*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 189111380 to the power of 1\/2, to the nearest integer?\nAnswer: 13752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 525\/10 + 2\/4. Let r = 93 - d. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 0*a + 18 = 3*a, 10 = -2*n + 4*a. Solve -5*l = p + 4*p, -l - n*p = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45 + 5. Let o = 26 - m. Let d = o - -26. Solve 0 = 2*a + d - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3073925 - -1493925. What is w rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*t - 28*t + 5 - 3 as v + f*t and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 687*f - 7554. Determine y(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + (15 - -1 - 3). Let k = 16 - y. What is the third derivative of -4*l**2 - 3*l**3 + k*l**3 + 9*l**2 + 2*l**4 wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 278291783.\nAnswer: 7, 11, 3614179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19299106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -58 and 4.44?\nAnswer: -257.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 5714449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -42\/43  (c) 3  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 10*d + 12. Let a be h(-5). Let q = -36 - a. Calculate the smallest common multiple of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -968*d - 215*d**3 + 968*d + 416*d**3 - 199*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 384 + -384.000000528. Round g to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 - 5*j - 5. Suppose 4*t + 11 = 3*a, 16 = 4*a + t - 5*t. Suppose 5*w = 4*w + a. What is g(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9917 divided by -48399\nAnswer: 9917\/48399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*y + 0*y**2 - 5 - 2*y**2 + 3*y**2 + 8 to z*y**2 + i*y + j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - -1*sqrt(171)*1)\/(1*sqrt(9)*-4).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(2*sqrt(147) + -1))**2 - (-1 + (3*(1 + sqrt(432)) + sqrt(432) - sqrt(432))**2).\nAnswer: -664*sqrt(3) + 5528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 11. Suppose -3*m = 2*p - i - 2, 32 = 2*p - 2*m. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9 or 193426228?\nAnswer: 193426228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*14\/(-35) + 7\/(-35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 (base 5) in base 16?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 29 + 122. Calculate the remainder when p is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37706236 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 1:34 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 10 = -0*y. Suppose y*l + 1 = -2*j - 0, -7 = -4*j - l. Suppose -o - o = 2*g - 64, 4*g + j*o - 130 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1200 = -92*b + 82*b - 70*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 99655841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1199780, -2399560, -3599340?\nAnswer: -4799120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -77902, -155791, -233680, -311569?\n\"Answer: -77889*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31 - 40. Let c(s) = 5*s + 31. Let d be c(r). Let t(o) = o. Let z(n) = -2*n. Give d*t(b) - 6*z(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 + 5*h - 2. Let m be j(-6). Let k be (4 - 61\/2 - 2)*200\/(-75). Calculate the highest common divisor of k and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211279?\nAnswer: 59, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j - 7. Give c(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 63080, 126161, 189242, 252323, 315404, 378485?\n\"Answer: 63081*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 129880620 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -100*f**2 - 46035*f - 16100.\nAnswer: -5*(f + 460)*(20*f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {s: 2, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of -5*c**4\/6 + 2*c**3 + 20*c**2 - 15*c. Let y be j(-5). Let k = 383 + y. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*l + 18*l - 34*l**2 + 36*l + 50*l**2 + 148*l**2.\nAnswer: 164*l**2 + 39*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 - 2.8. Let z = -4 - -2. Suppose -15*p + 61*p - 184 = 0. Put z, p, g in descending order.\nAnswer: p, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -77 + 85?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - 29*x**2 + 99*x + 37. Give z(25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -48 - -126. List the prime factors of z\/(-52) + 282\/4.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b - 3. Suppose 8*h - 7 = 7*h. Let a be z(h). Solve -a = -2*o - 0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -36\/171365 and -151\/1028190.\nAnswer: 1028190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 323 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1377)*1 + sqrt(1377) + sqrt(1377)*-2 + -1 - 2*(sqrt(153) + 1)*-1.\nAnswer: 1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23601637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 3:16 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9010786 to the power of 1\/2, to the nearest integer?\nAnswer: 3002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w**4 - 12*w - 166 + 164 - 10*w to the form i*w**3 + d*w + m*w**4 + y*w**2 + x and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(13))*-6 + sqrt(91)\/(sqrt(35)\/sqrt(5)))**2.\nAnswer: 120*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -368, -2884, -9712, -23006, -44920, -77608?\nAnswer: -123224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*g - 61*g + 49 = 0. Suppose 2185 = -g*j + 12*j. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -192617250 by 482750.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*v**2 - 2 + 12*v**2 - 4*v**2 + 21*v**3.\nAnswer: 21*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 17, -3\/4, -4, -6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = j - 8 + 24, 4*j + 3*c = -52 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + 4*s - 2160. Let w = -221 + s. Suppose 3 = b, 4*l + 4*b = -b + w. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (2 - -1) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, 7, -305, 101 in decreasing order.\nAnswer: 101, 7, 5, -1, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/(6*sqrt(16)\/sqrt(2) - sqrt(8)))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10.57 + -14. Let n = -0.13 - d. Let f = 3.365 - n. What is f rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 350038, 350315, 350776, 351421?\nAnswer: 352250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -381 less than -1825240?\nAnswer: -1824859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -21782.699 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (173*t + 25*t - 97*t)*(2 + 0 + 0) + 4*t - 5*t - t + (4 + 3 - 6)*(4 + 2*t - 4) + 2*t + 2*t - 2*t.\nAnswer: 204*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/244 and -1\/29402?\nAnswer: 58804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4)\/((-224)\/(-239)) + (-3)\/8 and 1\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1192 and 1388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r and 1 b when four letters picked without replacement from brrrrbrrbrrrpbbrrr?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(27)*1)**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 + 4*i + 2. Let m be (4\/(-12))\/(2\/(-6)). Let j be 2*(-1 + (1 - m)). What is l(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbwwbqxwxwwwqwwb. Give prob of sequence bw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (18\/2)\/(315\/(-210)). Let g be 5*-6*(-1)\/(-5). Calculate the common denominator of 24\/(-21) - b\/(g\/(-2)) and 47\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -17*d - 228. Give q(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -x**5\/20 - 13*x**4\/12 + 13*x**3\/6 + 11*x**2 + 3*x - 1. What is the least common multiple of b(-14) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -i**4 - 1406*i**3 + i**2 + 1406*i = 0?\nAnswer: -1406, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 0*p = -4*p + 12, 5*p = 3*h + 13. Let b be -4 - (-24)\/h - -76. What is the greatest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -4*g + 40. Let y be b(8). What is the first derivative of y - 4 - 27*q**2 + 3*q**2 + 3 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -21. Let j = r + -11. Suppose j*x - 3*x = 0. Solve 5 = -x*m + 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 3*d - 5, -3*d + 0*d + 13 = -5*u. Let g be (-8 - u)*(-2)\/(-4). Let n = 141.8 + -142. Which is the nearest to -0.2?  (a) n  (b) -1  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2331 and 157728447?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2424*c - 43 + 1887*c + 16 + 28 - 597*c)*(-2 - 4*c + 2) to n + r*c + i*c**2 and give i.\nAnswer: -14856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: 12*(-19)\/1368*(-1)\/(-3)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of -3*q**5\/40 - 3*q**4\/32 + q**3\/2 + 3*q**2\/4 + 1130. Determine x, given that f(x) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.06 and -227?\nAnswer: 225.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 + 4 - -10) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 360 = -0*g + 2*g, -372 = -2*g - y. Is g less than or equal to 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 58 - 405\/7. What is the third smallest value in 2, 0.2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3176*v = -3182*v - 36 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31285, 31244, 31143, 30952, 30641, 30180?\nAnswer: 29539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of -5*m**8\/336 + 4*m**7\/21 - 19*m**6\/24 + 2*m**5\/3 + 25*m**4\/6 - 40*m**3\/3 - 19*m**2 - 3*m. Find s, given that k(s) = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -15\/16  (b) -2\/3  (c) 1\/2  (d) 19\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7359307*s**2 - 1735323 with respect to s.\nAnswer: 14718614*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 10:52 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (2*sqrt(320))**2 + -4*(3 + sqrt(320)) - (sqrt(320)*2*4 + sqrt(320)*3 + 4)**2)*3.\nAnswer: -112419 - 2208*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/9*(-36)\/15*(-74)\/1036?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 8 + 11. Solve p*v - 4 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 848*k + 53 - 53 - 6573*k.\nAnswer: -5725*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 830, 829, 828?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1496978, -1496876, -1496774, -1496672, -1496570?\n\"Answer: 102*r - 1497080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 - 9*g**2 - 9*g. Let w be r(-8). Let v = w + -5. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 150770698 and 1828?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 792416846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 6:00 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 3*s + 67, x - 3*s = -5*s + 16. Suppose x = -5*r + 3*r. Let b = -195 - -196. Is r greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-14))\/(748\/(-238)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-24)\/(-5))\/(-4)*-5. Let n = w + -4. Suppose 4*d + 2*r = -r + 67, -4*d = n*r - 66. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17 + 11. Let v(n) = -n**3 - 5*n**2 - 2*n - 13. Is 25 a factor of v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1793, 726, 3247, 5770, 8295, 10822?\nAnswer: 13351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1900 + 148 = 112*b - 1761 + 1233 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 350661896 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 176\/14 + (-15)\/(-35). Suppose 0 = -r*n + 9*n + 36. Solve -4*g - n = -1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29 + 32.1. Let u = f + -3. Which is greater: 2\/11 or u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 2 + 0 = 0. Let v = r - 0. What is the third derivative of -47*k**6 + 4 + 46*k**6 + v*k**2 - 4 wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -1*sqrt(1539) + sqrt(1539) + 3 - (3*(sqrt(1539) + (sqrt(1539) - (-2 + sqrt(1539)))) + (sqrt(1539)*1 + -2 - sqrt(1539)))) + -4 + 0)**2.\nAnswer: 54*sqrt(19) + 13852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.14 - 0.04. Which is the closest to 0.1?  (a) 1  (b) 4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 4 = -5*t, 0 = 2*t - 3*t - 4*c + 20. Solve -6 - 2 = t*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2*n - 9. Let v be k(-6). Suppose -4*g - 24 = -60. Suppose g = -0*z + v*z. Sort z, 5, 4.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37423 + 5147 = 15*j. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 826555419 divided by -1479\nAnswer: -558861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -28185817.\nAnswer: 6\/28185817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 391 and 3451.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93 + 0 = -31*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -65*(56\/(-20))\/7. Find the common denominator of 94\/27 + (-2 - 0) and (-4)\/d + (-920)\/273.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)*3)\/(sqrt(96)\/sqrt(3)) - (-3*-4*sqrt(147))**2*-4.\nAnswer: 15*sqrt(3)\/4 + 84672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in nine sixteenths of a week?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p. Let n(i) = -9*i + 7. Determine -n(c) + 6*r(c).\nAnswer: 3*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 3*p = -48, 2*p + 5 = -b - 2. Let d = -302 - -307. Let f = d - b. 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 74*w - 480 = 179*w - 45*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.001?  (a) 19836  (b) -5  (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54310788 and 289657536?\nAnswer: 868972608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 289330*u**2 - 316560*u?\nAnswer: 578660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 293 + 82 = 5*k. Suppose 0 = -2*a + k - 69. Put a, 1\/4, 0, 29 in ascending order.\nAnswer: 0, 1\/4, a, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*d**4 - 10*d**4 + 18*d**4 + 29*d - 10*d wrt d?\nAnswer: 324*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(75) + -5.\nAnswer: -1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1646 a factor of 138842287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2345520 (base 10) to base 9.\nAnswer: 4364403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.89, 3, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2)*(0*l**2 - 3*l**2 + 2*l**2)*(-l + 2*l + l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/((-104)\/(-12))*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnnnnnn. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 12:43 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*f = -4*w + 172, 43097 - 43218 = 5*w + 6*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/11 + 14612\/143. Let b = 111 - h. Let n(c) = -82*c - 1. Let t be n(-1). Calculate the greatest common divisor of b and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2786, -2768, -2730, -2666, -2570, -2436?\nAnswer: -2258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of 2\/5*w**5 - 1\/2*w**2 - 1\/3*w**3 + 6*w + 0 - 1\/6*w**4. Calculate k(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 9*n**2 - 8*n + 10. Let b be o(8). What is the greatest common factor of 70 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 1, -0.59?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 PM and 8:57 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 24*p - 2088. Give r(87).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 6) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -0.02794.\nAnswer: 1.02794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -936*m**2 + 3 - 4 + 465*m**2 + 469*m**2 + 5*m to the form k*m**2 + f*m + v and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 297*f = -35*f + 10663 + 957 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d*d\/d**(-6))*d\/(d*d**(-10)))\/(d**25)**16)**(-17\/3) assuming d is positive.\nAnswer: d**(6766\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 959108?\nAnswer: 2, 347, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(((o**(-10\/11)*o)\/o)\/o))\/(o*o\/o**(-1\/3)) assuming o is positive.\nAnswer: o**(19\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/3)\/o*o)**2 assuming o is positive.\nAnswer: o**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 96222965 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 14 + 4 = -t, -3*c - 4 = -5*t. Solve -9 = -5*s + 1, t = 4*l - s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1275325699.\nAnswer: 313, 4074523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of -7\/15*t**4 - 8*t - 2*t**2 + 196\/15*t**3 + 1\/150*t**5 + 0. Suppose v(f) = 0. Calculate f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 230139 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 34 = 5*z, 0 = -299*v + 298*v - z + 8. Solve v*x + 775 - 739 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 times -0.3507213\nAnswer: 4.2086556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32 - 32. Suppose -r - 3*r = y. What is the tens digit of 60 - (r\/(-3))\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*w - a = -5, -4*w + 20 = -a. Suppose 0 = -51*g - 23*g - 53*g + 254. Put 3, -2, w, g in ascending order.\nAnswer: -2, g, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96\/(-288)*(0 - (-1 - (0 + -70)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from crcf. What is prob of sequence cc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -3  (c) -9  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 28770 = 5*i, -46*i + 42*i = 2*f - 19180. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37379b3 (base 13) to base 10.\nAnswer: 17182207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -2 - -4) + -3 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-165)\/1650)\/((-18)\/40)*-1*9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r + 12*r**2 - 1 - 10*r**2 + 2*r**2 as k + v*r + t*r**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = 2*a - 105. Let l = 13292 - 13271. Calculate the remainder when a is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - -580165?\nAnswer: 580171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*j**2 - 10*j**2 + 29*j**2 + 2 - 2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c + 5*x - 10 = 0, -5*c - 5*x + 10 = 0. Let w(l) = l - 6. Let b be w(6). Let g(o) = o**2 + b*o**2 - 1 + 4 + 5 + o. What is g(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -r**4\/5 + 5349038*r**3\/5 - 1430607166844*r**2 - 42918407570904*r\/5 = 0.\nAnswer: -6, 0, 2674522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 1\/18249 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 2 + 0 + (-3 + 1 + 5)*(-2 + 4 - 1))*(1 - 3 + 8) + 0 + 3 - 2)*(-3 + 3 - 2*w**5).\nAnswer: -62*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 237 - 34 = 5*c, -4*z + 717 = c. Let r = -1175\/6 + z. Let p = 4959\/4 - 1247. Find the common denominator of p and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9\/63*(-147)\/8337. Is a less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + 14. Let t(d) = -d. Let j be t(0). Let y = j - 0. List the prime factors of p(y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*a + 5. Suppose -4*r + 2 = 5*h, 3*h + 10 + 5 = a*r. Solve 4*o - 1 = -r*t, 25 = 5*o - 2*t + t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 10:35 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14862, -14845, -14832, -14829, -14842, -14877, -14940?\nAnswer: -15037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 2  (c) -2  (d) 8\/5  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/5*112\/(-7616)*-170?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93 is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6 from 411.\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27 (base 8) to base 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 300, -55, 3 in decreasing order.\nAnswer: 300, 3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (72\/(-48))\/(24\/176)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(117) + -1)*-5*-5 + ((sqrt(78) + (5*((sqrt(78) - 1*sqrt(78)) + sqrt(78)) - sqrt(78)) + sqrt(78))\/(sqrt(60)\/(sqrt(10)*-3)))**2.\nAnswer: -300*sqrt(13) + 4312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*v**4 + v**4 + v**4 + (-4*v - 3*v - 17*v)*(3*v**2 + 2*v**3 - 3*v**2) + (-3 - 5 + 6)*(-v + 2*v**4 + v).\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 6342?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of 17*i**3\/3 + 9*i**2\/2 - 9*i - 4. Let t(n) = -4*n**2 - 2*n + 2. Let p(l) = 2*r(l) + 9*t(l). Let u(x) = -x. What is u(p(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-54400)\/(-1632) + (-40817)\/1225?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16017 + 16017. Solve -2*y - 351 + 367 = t for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4924012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -25*a**3 - 5*a**2 + 360*a + 309830 wrt a.\nAnswer: -75*a**2 - 10*a + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -2*c - 191, 3*c - 62 = 4*x + 100. What is the smallest common multiple of 9 and -3 - 930\/x - 6\/(-39)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3259 (base 13) in base 5?\nAnswer: 211003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -8359*v - 154. Let l be y(-6). Let t be (23 - 38)*l\/(-6). What is t rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 + (1 - -2 - (3 - (-10 - -7)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1009974155 - -17853.1.\nAnswer: 17853.2009974155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 296.56 + 304.2. Let w = a - 586. Let i = w + 0.24. Is 0.1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-332)\/249*(-3)\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -13030?\nAnswer: 13032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -450576 divided by -8046?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/1279?  (a) 373  (b) 0.4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -24761*q - 74208. Give l(-3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-2 - (-3 + -6 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.13, 1, -0.01?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 458181926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -109775*h**6 - 22*h**2 + 53*h + 2 wrt h.\nAnswer: -13173000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 5:34 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 8) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1066154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 21 = -6, -p - 7 = -2*o. Suppose -n + 5*a = 11, -5*n - 5*a + 6*a = 7. Let w = o - n. Solve 0 = -2*l + 4*f + 2, 0 = l + f - 1 + w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*p - 1170 = 12*p. What is the greatest common factor of p and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 3)*(1 - 2 - 1)*(4*h**4 - 5*h**4 + 2*h**4) - 48*h**2 + 5*h**4 - 3*h**4 - 1 - 76*h**2.\nAnswer: 4*h**4 - 124*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1415456 to the power of 1\/2, to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 146797 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 5*m + 43, -2*m - 9 = i + 4. Calculate the remainder when 15 is divided by (m\/(-3))\/((-2)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(891) - sqrt(891)*-2)*6 + sqrt(176)*-2*-5)**2.\nAnswer: -2244220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 30531739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -286.12 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 3*z + 150, 3*x + z = 91 + 127. Suppose 3*g + x = 3*q, -4*q = -q - 4*g - 77. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44360?\nAnswer: 2, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*4*(-5)\/70?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (1 - 1) - (285 - 305) - -6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of -i**4\/24 - 2*i**3\/3 - i**2 + 194. Calculate u(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-1\/12)\/z*z*z*z**(-9)\/z*z*(z\/z**(3\/10))**(2\/57) assuming z is positive.\nAnswer: z**(-9187\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3\/7, -7, -0.05, 0.203?\nAnswer: 0.203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (m + 0*m - 3*m)*(-6 - 23 + 7) to p*m + y and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/7?  (a) -4  (b) -31  (c) -339  (d) -0.68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.05, -2\/11, 43\/340, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 4578 = 4578, 2*s + 4*o = -10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 3:41 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1990000 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p - 26 = -12*p. Suppose p*y = 18*y - 835000. What is y rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 10335 and 206 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.24128mg in micrograms?\nAnswer: 31241.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*i + 469 = 273. Solve 15 = -i*k - 4*q, 0*k - 3*k - 3*q = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and -15.03.\nAnswer: -10.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 13505568 divided by 39\nAnswer: 4501856\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 5 - (22 + -20) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1453\/2 + -4261\/6. Let d = -42479\/12 + 3537. Calculate the common denominator of h and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p + 1. Suppose -2*u - 2*u = -4*h + 16, -4*h = -u - 4. Let l(q) = q**3 - q**2 - 5. Let z be l(h). Is o(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 n when three letters picked without replacement from sfsdsnsssdsdd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/16290 and 54\/239825.\nAnswer: 4316850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1210, 3, -4 in decreasing order.\nAnswer: 4, 3, -4, -1210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2021 (base 4) in base 14?\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that d**2\/4 - 5*d + 9 = 0.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/3 and (420\/25 + 13)\/(1*-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53 - (-31 + -68 + 22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 805753117990 and 48.\nAnswer: 805753118038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41 - x + 7913*x**2 - 43 + x.\nAnswer: 7913*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-6*(sqrt(7) + -1 + sqrt(7)) + -2.\nAnswer: -20 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 735 and 180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 15 = 5*q, -x + 5*x + 2*q = 22. Suppose -5*v = -x - 35. Let h = 2 + v. What is the remainder when 25 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of -10*s**2 + 15\/4*s**4 + 6*s + 0 - 40\/3*s**3. Find q such that r(q) = 0.\nAnswer: -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 496a46 + -3?\nAnswer: 496a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (19\/(152\/192))\/(16\/8). What is the greatest common divisor of q and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 206*l - 69*l = 61787. What is the remainder when l is divided by 73?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + -4506c5?\nAnswer: -4506c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 200\/80*(-16)\/(-36)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11*t**3 + 11*t**2 + 112474*t - 13633853 wrt t?\nAnswer: -33*t**2 + 22*t + 112474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 5:25 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -280, -282, -284, -286, -288, -290?\n\"Answer: -2*x - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6160 a factor of 2134754160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4226d (base 14) in base 9?\nAnswer: -262878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1133 - 1121. Sort -4, -3, d, 0 in ascending order.\nAnswer: -4, -3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -209 = -9*f - 173. Factor -6\/5*v**2 - 1\/5 - 4\/5*v - 4\/5*v**3 - 1\/5*v**f.\nAnswer: -(v + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -5. Let v = 3 - b. Solve r - 4 = 0, 5*z - 2*z = -v*r + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-216)\/15)\/((-840)\/(-1575))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3478949870 to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6648478709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -285667, -285776, -285885, -285994, -286103?\nAnswer: -286212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 428382 divided by -6.\nAnswer: -71397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 3*o - 31 = 0, 6703*o - 6706*o + 61 = -3*a - 8 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*v - 2*v + v + 0 - 2*v + 0 + (1 - 1 - 1)*(-3 + 3 + v) + v - 2*v - 2*v + (5*v - 4*v + v)*(-1 + 5 - 2) - v - 3 + 3.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 - 306*z**2 - 1557*z - 8. Let d be n(-5). Find q, given that 3\/2*q**4 + 9\/2*q + 0 - 15\/2*q**d + 3\/2*q**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -2011002110220?\nAnswer: 2011002110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 112250880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1771 and 4347.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32*d**5 + 0*d**5 + 0*d**5 + 11*d**5 + 14*d**5 - 262*d**5 + (d**2 - d**3 - d**2)*(4*d**2 - 4*d**2 + d**2) - d**2 + d**2 - 2*d**5.\nAnswer: -208*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -94, 0.1, -0.5, 2 in descending order.\nAnswer: 2, 0.1, -0.5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1039 + 15583\/15. Which is the nearest to 3\/4?  (a) -0.5  (b) 0.2  (c) 4\/5  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3713 - 3805 + 7688 - 14*x to j*x + s and give s.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - -4) + (83 - 78) - (-23 + 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (9 - 5 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -8411, -6\/7, -5, -2\/5, -1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34251, 67987, 101215, 133935, 166147?\nAnswer: 197851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j**5\/17 + 2*j**4 + 18*j**3\/17 - 2*j**2 - 12*j\/17 = 0 for j.\nAnswer: -1, -1\/3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 20, 16, 8, -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 3*k)*(1 - 6*k - 6*k + 14*k).\nAnswer: -6*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -5, -30, -93, -212, -405, -690, -1085, -1608?\n\"Answer: -3*g**3 - g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6298 divided by -134.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 105 - 90. Find the third derivative of -22*z**3 + t*z**3 - 38*z**2 + 3*z**3 wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3129 is divided by 3100.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-54)\/81*(-234)\/(-6)*(-1)\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -3*a - 3051 + 3051. Let b(f) = -3647*f**2. Give q(b(w)).\nAnswer: 10941*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/746394 and -47\/1866.\nAnswer: 232128534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**0)**(-22\/5))**(-9\/7)*(l*(l\/(l\/(l**0*l*l)*l))\/l*l*(l\/l**(-1\/14))\/l)\/((l\/((l\/(l**(-1\/3)\/l))\/l))\/l*l*l)**(-10\/11) assuming l is positive.\nAnswer: l**(1237\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvn when three letters picked without replacement from {v: 4, r: 5, n: 1, f: 6}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 6*y**2 + 5*y - 22. Let q be u(6). Suppose -c - 2*c = -120. What is the highest common divisor of q and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -3, 0, -88, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 180182357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 3*w = -3*c + 6, -2*w + 4 = 0. Suppose c = 2*i - 2*j, -3*j = -7*j + 8. Suppose 3*r + 0 = -2*o - 1, -2*o - i*r = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1794\/5 - -357. Is 1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.4  (b) -0.3  (c) -4  (d) -1552\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3238.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l + 7 = 23. Suppose -4*p + 216 = l*s, 4*p - 222 = -0*s - 5*s. What is the remainder when p is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1276416613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 17\/32, -1.6, -1, 7, -15?\nAnswer: 17\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/5 - (-3430)\/25. Let y be 18*((-550)\/(-15))\/5. Let p = c - y. Put 1, -2, -1, p in descending order.\nAnswer: p, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.32798 - -11.66842. Let x = -12 + z. Round x to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4779 is divided by 531.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13 or -226\/17?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.1, -1.5, -3\/53?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36108 and 188564?\nAnswer: 1697076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n**3 + 5*n + 2. Let c(h) = 3*h**3 + 11*h + 4. What is -3*c(o) + 5*q(o)?\nAnswer: o**3 - 8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -3*a**2. Let x(j) = 4337*j - 4. Give s(x(p)).\nAnswer: -56428707*p**2 + 104088*p - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -3*n**4 - 22618*n**3 - 42691411*n**2 - 227044624*n = 0.\nAnswer: -3767, -16\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 780\/1575 - 12*(-4)\/(-504)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -7  (b) 3  (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 + 6*p**2 + 6*p - 64. Let z be y(5). Let b be 285\/(-171)*z\/(-20). Sort -0.3, -31, b.\nAnswer: -31, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 260, 202, 46, -256, -752, -1490, -2518?\nAnswer: -3884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 23014522 - 5?\nAnswer: 23014513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 5:19 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 = 3*g - 135. Let p = 57 - 25. What is the remainder when g is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-375))\/(4 - 669556\/167395). Let q = 1265\/72 - u. Find the common denominator of q and 17\/22.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/19?  (a) 0.4  (b) 0.03  (c) 18340\/9  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/380 and 83\/109022?\nAnswer: 1090220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -17*i**2 + 6527*i - 100086. Determine n(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-98)\/(-28) - 9\/(-6). Suppose -30 = w*v - 340. What is the remainder when v is divided by (54\/24)\/(2\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -g**3\/6 - g - 365. Let k(v) = -v + 1. Let n(p) = 37*p**2 + 111*p - 111. Let z(r) = -111*k(r) - n(r). Calculate z(u(y)).\nAnswer: -37*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - 2*y + 0*y)*(-4 - 3*y + 4) - y**2 + 3*y**2 + 0*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-483)\/644)\/((-4)\/(32\/(-81)))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 4*m**2 + 30*m - 8. What is j(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f**2*l**2 + 2*f**2 - 115*l**4 + 73 wrt l.\nAnswer: 2*f**2*l - 460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 31 = -29. Calculate the least common multiple of 28 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/5))**(-6\/35)\/((j*j**0)\/(j*(j\/(j**0\/j))\/j)) assuming j is positive.\nAnswer: j**(187\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -18 - 10 - 18 + 52 - 5*d**3. Let j(z) = -z**3 + z**2 - z. Let p(h) = -i(h) + 4*j(h). What is p(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, 18485, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 20833 * 1.4\nAnswer: 29166.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/16, -0.2, -1, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-3)\/r)\/r**(-2\/7))**(-13\/5) assuming r is positive.\nAnswer: r**(338\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 6 = 2*w. Let r(h) be the second derivative of 0 - 6*h - 4*h**2 + 2\/3*h**3 + 1\/12*h**4. Determine r(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*a**2*t**2 + 8*a**2*t - a**2 - 2576057*a*t**2 + 11*a*t + 2*a - t**2 + t - 3625 wrt t.\nAnswer: -26*a**2 - 5152114*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/((-16)\/(-6))*-4. Suppose 3 = 4*p - p + 2*w, 3*w = -p + 8. Let v be (-2)\/(-6) + (-4)\/(-6) + p. Put v, r, 5 in ascending order.\nAnswer: r, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-18)\/(-2 - (1 - 2)). Suppose -4*y = -j + 2. Let x = 0.2 + 0. What is the second smallest value in 3\/2, y, x?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 116 and 6408?\nAnswer: 185832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -611135, -611348, -611711, -612230, -612911, -613760, -614783, -615986?\n\"Answer: -d**3 - 69*d**2 + d - 611066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-121)\/(595441\/(-222))*(-21)\/(-9).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express m**2 - 5*m**2 + 2*m**2 + (-60*m + 257*m - 55*m)*(4*m - 4*m - m) + (3*m - 4*m + 2*m)*(m - 3*m + 0*m) in the form y*m**2 + d + j*m and give y.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 3*j = 2*j + 2219, -2*r + 1471 = -5*j. List the prime factors of r.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0252773 to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 3*f = 3*k - 55, -2*k + 22 = 5*f. Calculate the remainder when 43 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**2 + 0*m**2 + 3*m**2 - 29696*m**3 + 29679*m**3.\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 1 - 1)*((1 - 1 + 2)*(-3 + 7 - 29)*(-615 - 57*s + 615) + (4*s - 2*s - s)*(1 + 2 - 1)).\nAnswer: 5704*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54528 - 109062 + 54534 + 311*m.\nAnswer: 311*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 times 101265?\nAnswer: -708855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 177435911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 + 13*l + 16. Let m = 6 - 18. Let t be n(m). Suppose o - 178 = -o + t*h, 445 = 5*o + 5*h. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 3*m - 9. Let o(y) = 4*y - 10. Determine 5*o(b) - 6*v(b).\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 (base 13) in base 16?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + sqrt(3) + (sqrt(15) + sqrt(30)\/sqrt(2))\/sqrt(5) - sqrt(3)) + (sqrt(588)\/sqrt(4) - sqrt(3)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 517 + -6 + 3\/1. Let u = x - 2055\/4. Put -0.2, -4, u, -1\/6 in increasing order.\nAnswer: -4, -0.2, -1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -1\/4  (c) -6\/19  (d) 673  (e) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + r - 4*m - 86 = 0, 394 = 5*r - 2*m. Let i = r + -232\/3. Let d = 0.074 - -0.126. What is the nearest to i in 0.1, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 4*p - 4510, g - 5*p - 2046 = 194. Let j = g - 1506. Suppose -6*o - j = -9*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1243, 1272, 1291, 1294, 1275, 1228, 1147, 1026?\n\"Answer: -w**3 + w**2 + 33*w + 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 4*j + 502 = 2*v, -3*j + 5*v = -396. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((-5 + 2 - -7) + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o**2 + 5*o**2 + 2*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((18\/(-126))\/((-4)\/7))\/((-90)\/(-405))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -7*o**3 - 2*o**2 - 2*o + 1. What is the tens digit of a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 82*q + 5612. Let p be l(-40). Calculate the highest common divisor of 53 and p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 3*y = -1569, -18*y = 3*i - 13*y - 1609. Calculate the lowest common multiple of i and 192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 1. Let k(i) = 6*i**2 + 1. Let t(b) = -2*d(b) + 2*k(b). Let q(n) = -n. Determine q(t(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -22939\/16795 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -39*u - 132 - 117 + 15 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45006566 is divided by 373?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -153.69  (b) -4330  (c) 2  (d) -2  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-40)*8*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -2*u**3 - 2878*u**2 - 194532*u - 377568 = 0.\nAnswer: -1368, -69, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36850 is divided by 12283.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -221 + -5?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11562741 = 22*l + 2598401. Round l to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*i - 4*o - 13, 0 = 5*o. Suppose -i*w = -7*w + 48. Suppose -64 = -29*a + 13*a. What is the lowest common multiple of w and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -44 + 54. Let i be ((-80)\/24 - -3)\/((-1)\/12). Calculate the highest common divisor of i and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1456527.\nAnswer: 3, 485509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -4.5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 - 2*q**2 - 2*q + 1. Let l be t(-2). Which is the nearest to -0.1?  (a) -0.2  (b) 3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, v: 1, q: 2, c: 2}. What is prob of picking 1 q and 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 0*(-4)\/(-8). Let o be ((-33)\/(-12) + m)*4. What is the highest common divisor of o and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f*f*f*f**3\/f*f*f)\/f)\/f)\/f**(1\/4))\/(f**7\/f**7) assuming f is positive.\nAnswer: f**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 1353 divide 132856482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*r - 43*r + 46925 = -4*u, 3*u = 3*r - 140730. List the prime factors of r.\nAnswer: 3, 5, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.018 + -13.982. Let c(t) = -2*t**2 + 4*t - 3. Let o be c(1). Is o at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.514 to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 47858 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -8 times -1.978\nAnswer: 15.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8\/35, 5, -2\/5, -5, -1\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -8504719, -17009428, -25514137, -34018846, -42523555?\n\"Answer: -8504709*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + 1000111101?\nAnswer: 1000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 - -17. Suppose 8 = o + 2*o - 2*t, 5*t + 13 = 4*o. What is the lowest common multiple of (m\/6)\/((-3)\/(-36)) and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v + 22 = -5*x, -2*v + 49 = -x + 48 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56725 = -u + p, 3*u - p - 146603 = 23566. What are the prime factors of u?\nAnswer: 2, 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 1. Let s(k) = 9 + 15 - 1 - 4 - k. Determine s(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 271, -2\/3, 7, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n - 9*n = -3*d + 93947, 2*d = 4*n + 62664. What are the prime factors of d?\nAnswer: 2, 7, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4671.7 - -0.2.\nAnswer: -4671.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/(a**(-2\/49)\/a)*a*(a*a**(-1\/6))\/a assuming a is positive.\nAnswer: a**(845\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/12)\/(31\/(-14508)*-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 2*y + f + 3, 0 = -5*y - 2*f - 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 32640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10552 - -11.\nAnswer: 10563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of -2*a**3\/21 + 4*a**2\/7 - 8*a\/7 - 10. Factor k(b).\nAnswer: -2*(b - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/6)\/(q*q\/(q\/q**(-2))*q)*(q**0)**11)**23 assuming q is positive.\nAnswer: q**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 26\/7, 1, 270?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 4*s - 9 - 9, 2*h - 4*s - 8 = 0. Differentiate 21*g + 7*g + 0*g - g - h wrt g.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of 7*h**6\/30 + h**3\/2 + 6*h - 3. Let r(j) be the first derivative of f(j). What is the second derivative of r(z) wrt z?\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (15\/35 - 1) + (-8)\/(-14)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.083 + -0.09. Let x = y + 0.17763. What is x rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (72 - 42 + 40)*(6*n - 8 + 8)*(-n + n**4 + n).\nAnswer: 420*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - p**2 - 2*p - 1878*p**4 + 3 + 20*p**3 + 1869*p**4 as s*p**2 + k + j*p + h*p**3 + l*p**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -10378, -20774, -31190, -41626, -52082, -62558?\n\"Answer: -10*b**2 - 10366*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (177\/6)\/(((21780\/(-288))\/121)\/(5\/(-4))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7515, -15145, -22797, -30471, -38167?\nAnswer: -45885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 73869022 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and -14407?\nAnswer: 14406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.02?  (a) -11  (b) -1  (c) -0.2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.31 - 7.2925. Let o = p - -0.0405. What is o rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 - c. Let w(p) = 39*p - 73*p + 34*p - 2*p**2. Calculate w(r(v)).\nAnswer: -2*v**4 + 4*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(3 + 5 + -7). Let b be 8\/(-8) + (-18)\/(0 + o). Solve n + b = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-78 - (45 - 99)) + (45 - 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-39 + 124*k - 128*k - 86)*(12 - 12 - 2*k) in the form v + o*k**2 + r*k and give r.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -3684.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.389 - 0.371. What is h rounded to 1 decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*o**2 - 36 + 0*o**2 + 10572*o**4 + 17*o**5 + 7*o - 5291*o**4 - 5286*o**4 wrt o?\nAnswer: 340*o**3 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -21037?\nAnswer: -3\/21037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 106, 104, 102?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.479 times -0.231?\nAnswer: -0.803649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41.82 - 0.82. Let b = k + -17. Let a = b - 24.019. What is a rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 11:25 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {f: 4, v: 5, k: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5699\/20 + 285. Let n(g) be the first derivative of g + 3\/2*g**2 + 3\/8*g**4 + i*g**5 + 13\/12*g**3 - 1. Suppose n(j) = 0. Calculate j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.26 - 22.74. Let h = 22.9 + s. Which is the closest to h?  (a) 0.5  (b) 3\/4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5 = -2*m - 0*m, 0 = -5*y - 3*m + 4. Let p(c) = 8*c**2 + 2*c + 1. Does 7 divide p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -2*p + 2, -3*p + 21 = 3*z. Suppose z*b - 126 = -x + 62, 0 = -5*b + 4*x + 173. Let y = -409\/11 + b. Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*((-14490)\/115)\/25704.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-4\/25))\/(f*f\/f**(-1\/47)*f)*f**(-6\/7)*(f\/f**13)\/f)**(-12\/5) assuming f is positive.\nAnswer: f**(1551408\/41125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the third derivative of u**5\/30 - u**4\/6 - u**3\/2 + 38*u**2. Let s be r(-1). Solve 4*i = 2*f + s*i + 4, -2*i + 8 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 115 - 10*z**3 - 37*z**3 + 32*z**3 as w*z + o*z**3 + v*z**2 + u and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 132609987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75815, 73173, 70531, 67889, 65247?\nAnswer: 62605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3261*-7.\nAnswer: 22827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -5*x - 24. Let o be g(-5). Let z = 6 - 4. Let h be z\/2 + (-39)\/33. Is o != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 30*x + 2. Let s(u) be the third derivative of 3*u**4\/8 - 307*u**2. Determine s(g(d)).\nAnswer: 270*d + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that n**3\/5 + 632*n**2\/5 - 177031*n\/5 - 177662\/5 = 0.\nAnswer: -842, -1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - w - 1863, -2*n + w - 3*w + 1866 = 0. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -34496, -35183, -35870, -36557, -37244, -37931?\n\"Answer: -687*g - 33809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 10:03 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 8:30 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = 4*o + 109. Let v be ((-14)\/(-4))\/o*(-16)\/28. Solve 6*d = d + 25, q - v*d + 6 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h. Suppose 75 = -2*p - p. Let j be (-130)\/p*(-5)\/(-2). Let v(l) = -27*l + j*l + 18*l. Determine v(x(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*g - 260 = -29*g. Solve -4*s - 15 = -9*s + g*i, -2*i = s - 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 0*d - 4*u + 134 = 0, -4*d + 591 = 5*u. Let h = -120 + d. Calculate the remainder when h is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, e: 4, w: 4, c: 1, b: 2, v: 1}. What is prob of picking 1 y and 1 v?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 3:37 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/10)\/((s\/s**10)\/s))**(8\/11)*s**(-1\/5)\/(s**(-6)*s*s)*s**7\/s**(5\/3) assuming s is positive.\nAnswer: s**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 316 - -2122604?\nAnswer: 2123122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r**39)*r\/(r**20\/r))\/(r\/(r*(r\/r**6*r)\/r*r)*r\/r**(1\/5)))**(2\/113) assuming r is positive.\nAnswer: r**(-618\/565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3277.2939 - -85184677.7061. Let u = m + -85188008.999937. Let g = u - -54. What is g rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-454)\/(-4) + 9\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 34*q - 3. Let v be n(3). Let s be ((-5)\/(-15))\/(1\/v). Let g = -8 + s. What is the remainder when 47 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 3 + 211*i + 7 - 228*i.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 429 a factor of 6616266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*k + 18 = 0. Calculate the highest common factor of 54 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3*(-2 - 28\/(-6)). Let n(h) = h**3 - 9*h**2 + 8*h + 2. What is the units digit of n(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c\/c**(-1\/11))\/c**(-5))\/(c**(1\/4)\/c**11))**2)**39 assuming c is positive.\nAnswer: c**(28899\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 52 = -3*f + 13, 70 = 5*f + g for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -78.2 + 73.2. Let t be 4\/(-14) - 6\/(-70). What is the third biggest value in a, t, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -15*t**2 + 2*t - 274. Let k(l) = -4*l. What is d(k(s))?\nAnswer: 120*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away -74?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 23 divided by 1271481\nAnswer: 23\/1271481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 16 = 3*s. Let c(u) = u - 2. Let n be c(6). Let z = s - n. Solve 5*j = z, 3*y - 3*j + 4*j = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 5*d**2 - 11*d + 8. Let t(q) = -11*q**2 + 23*q - 17. Let j(o) = 9*c(o) + 4*t(o). Calculate j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 238*y = 60*y + 3*u - 193, -3*y = -2*u + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from -288048.9438224.\nAnswer: -288048.7438224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2183 + 12.811\nAnswer: 2195.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -367 or -8407\/23?\nAnswer: -8407\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102002200 + -1012120002?\nAnswer: -1121122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/30)\/((-44)\/(-220)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 15 + 55 = 0. Suppose -9*q = -3*q - p*q. Solve q = 3*c - 3*f - 3, -14 = -2*c - 6*f + 2*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5438*d**2 - 5084*d**2 + 3161*d**2 - 651*d**2 + d**2 + 0*d**2 + d**2 + (d - d - d)*(-4*d + 0*d + 3*d).\nAnswer: -8009*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5899049 is divided by 2949520.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**0*l*l))\/(((l*l**9)\/l*l)\/l) assuming l is positive.\nAnswer: l**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000072789703 to 6 dps.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 5*y**3 + 41950*y**2 + 108116000*y + 78820860000 = 0.\nAnswer: -3580, -1230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38166?\nAnswer: 2, 3, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + 10*i**2 - 39*i - 6. What is l(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2111\/175 + 85\/7. Let r(c) be the first derivative of 1\/10*c**4 + 0*c**2 + 3 - q*c**5 + 0*c**3 + 0*c. What is b in r(b) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 5*d**3 + 4*d**2 + d + 10. Let i(r) = -r**4 - 4*r**3 - 5*r**2 - 2*r - 10. Let z(o) = 5*g(o) + 4*i(o). Find the second derivative of z(w) wrt w.\nAnswer: -48*w**2 + 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 351 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*c - 5. Let o(n) = n + c - 13 + 7. Let s(k) = -4*k**2. Give s(o(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i - 3. Let h(q) = -2. Let u(s) = 2*b(s) - 3*h(s). Let p(d) = -2*d + 2*d + 7*d - 3*d. Calculate p(u(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.68 + 1.8. Let x = -1418\/849 + 1\/283. Which is the second smallest value?  (a) -1\/5  (b) 5  (c) i  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12023 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 3 l when four letters picked without replacement from {t: 8, l: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*3\/(1\/2*6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-176)\/56 - (-1)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 29750238 and 120099.\nAnswer: 208251666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 3 + 2)*(2*a**2 + 2*a**2 - 3*a**2)*(44*a**3 - 314*a**2 + 314*a**2).\nAnswer: -44*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 - 334*b - 660. Let y be x(-2). Suppose 2*c + 0*c = 3*h - 12, -4*h = -4*c - 20. Sort y, -5, 1, h in descending order.\nAnswer: y, h, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, o: 1, q: 1, p: 1, l: 1, i: 1}. What is prob of sequence lixq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 - 8*s**2 - 2*s + 48. Let w be t(-8). Suppose -27*p - w = -31*p. Solve 2*z = 4*u + p, -3*z + 24 = -5*z - 4*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x + 4 = -14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - -60?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 9:01 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1186.79 and -5.\nAnswer: 1181.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 197327617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, b: 3, w: 1, i: 4}. Give prob of sequence iwiy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000686917328 to 7 decimal places.\nAnswer: -0.0006869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - 2*b**2 + b + 2. Let g be d(-2). Suppose 103 = -g*y + y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 52.4 - 52.4. Sort 0.02, v, -0.2, -1\/7, -0.3.\nAnswer: -0.3, -0.2, -1\/7, v, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4014452967.\nAnswer: 3, 7, 41, 4662547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - -4) + 7 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + r = -964 - 345, -20 = 5*r. Suppose -2311 - d = -4*t. Let z = 908 - t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2519, 15498, 37131, 67418, 106359, 153954, 210203?\n\"Answer: 4327*z**2 - 2*z - 1806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9)\/27*3*2. Let l = 2 - u. Solve -5*v + 5 = -r, -l*r + 3 = -0*v + 3*v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163786441 a multiple of 3913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of 1\/6*u**3 - 1\/45*u**6 + 1\/672*u**8 - 26*u**2 + 13\/144*u**4 + 0 - 1\/180*u**5 + 0*u - 1\/315*u**7. Find i, given that d(i) = 0.\nAnswer: -1, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3  (b) 0.4  (c) 0  (d) 0.07  (e) -11\/27  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00030796742 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 531950471 and 4966.\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 3*g + 1977, -6*g + 5*g = 5*f - 2495. Suppose f = 4*d - 174. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.27, -301, 1\/4, 1, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*g - 174*g**3 + 166*g**3 - 3*g - 1 to the form i + w*g**3 + j*g**2 + d*g and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - 2*z + 2. Let w be g(3). Suppose 0*h = -w*h - 25. Let r = 0 - h. Solve r*y = -0*y - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i**2 + 1 - i + 5 + i**3 - 6 - 3. Let v be u(-3). Solve v*c - 2*c - 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3, 35, 85, 153, 245, 367?\n\"Answer: c**3 + 31*c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13403.\nAnswer: 13, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 5. Suppose -y*w + 76 = -3*s + 2*s, -103 = -3*w - 4*s. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.96, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h + j - 15, 4*j = 2*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 - -40. Suppose -10*o = -6*o - l. Suppose k - 24 = -3*k - 4*z, 5*k = o*z + 10. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.23 + 0.62. Is c <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 6 = -m, 0 = -4*s - 7*m + 3*m + 24. Solve -3*i + 5*i = -s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 102 + -97. Solve 0 = o - k + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/(-44) - 81\/(-891).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28293605123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6380 and 32596.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*-0.0562\nAnswer: 0.02248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(24\/(-18) + (-2)\/3). Let n be ((-8)\/(-6))\/((-260)\/(-270)). Does g = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k*((k\/(k*k**28))\/k)\/k*k)\/(k\/k**(-3\/8)) assuming k is positive.\nAnswer: k**(-227\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -786 - -30656\/39. Let q(w) = w**3 - 21*w**2 - 22*w + 5. Let r be q(22). Suppose -9*u - r = -14*u. Is a at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of x**5\/60 + 5*x**4\/12 - 11*x**3\/3 - 12*x**2. Let z be t(-12). Solve z*l + l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q + 3*q - 12 + 9)*(5*q**2 - q**2 - 2*q**2).\nAnswer: 12*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s - 3. Let x(t) be the second derivative of -t**3\/2 + 5*t**2\/2 - 49*t. Let o = 2 + -5. Determine o*x(n) - 5*p(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.031 and -14.\nAnswer: 56.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.12909 or 4?\nAnswer: 0.12909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -3\/2  (b) -4  (c) 231.48  (d) -3\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -472, -483, -502, -529, -564?\n\"Answer: -4*v**2 + v - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1217897405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -131 + -51732?\nAnswer: -51863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c**4*f - 5*c**3*f - 8*c**3 - c**2*f - c*f - 11*c - 8*f + 2 wrt c.\nAnswer: -48*c*f - 30*f - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 2. Suppose -3*j - 1 = 4*i, 3*j - 11 + 0 = -i. Which is the biggest value?  (a) f  (b) -2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-75)\/3)\/(-400)*4)\/(3\/(-456)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5152060 and 3769800?\nAnswer: 154561800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54390.91 + 54390.98400041. Let w = -0.074 + m. What is w rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -33*i - 604 - 221 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -35.07 + 35. What is the third biggest value in 5, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 274, 1128, 2544, 4516, 7038, 10104, 13708, 17844?\n\"Answer: -o**3 + 287*o**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3129, -2, 116.\nAnswer: -3129, -2, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6139 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*y = 18*y + 225 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*h**2 - 7*h**2 - 2*h**2 - 10*h**2 + 12*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(475) + -1) + -2 + (-1*sqrt(57)*-1)\/(-1*sqrt(12)))**2.\nAnswer: -76*sqrt(19) + 6923\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5\/6)\/c)\/c**(-2\/13)*c**21\/c**12 assuming c is positive.\nAnswer: c**(571\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7)\/((-42)\/4)*-6. Find the common denominator of -65\/12 and 4\/c - (-1)\/(15\/(-14)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-120 + 69 - 112)*(320 - 320 + 22*f**3) to the form z*f + p*f**2 + q*f**3 + h and give q.\nAnswer: -3586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 116177508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 + 32*p + 36. Calculate the remainder when w(26) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 755 divide 4217778810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -1417*j + 1422*j + 4*u, 5 = 4*j + u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -33546027 - 0.04395?\nAnswer: -33546027.04395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of t**3\/3 - 9*t**2\/2 - 14275*t. Give m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 762945063 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggugggg. Give prob of sequence uu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1704 - -0.2296. What is the second biggest value in o, 1\/4, -0.9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and -233.\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -16, -1, -5, 4 in increasing order.\nAnswer: -16, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(3 + 1 + sqrt(425)) + -3 + (sqrt(425) - 5*(2 + sqrt(425))))*-4)**2.\nAnswer: 13600*sqrt(17) + 174624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -0.0351?\nAnswer: -0.01404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 272 = 2*k + 182. Solve -152*d + 162*d + k = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + n - 355*n**2 - 20*n + 3*n.\nAnswer: -355*n**2 - 16*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of -a**4\/12 - 7*a**3\/6 - 5*a**2 + 3*a - 6. What is q in o(q) = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76 + 75 + 74 - r**2 - 225 - 555*r + 606*r - 2*r**3.\nAnswer: -2*r**3 - r**2 + 51*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -245 (base 8) to base 5.\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y**2 + 23147445 - 23147445 + 32*y.\nAnswer: -2*y**2 + 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*c + 2879 + 91. Suppose -u + c = 17*u. Calculate the remainder when 19 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = f - 3, 5*f - 2*n - 99 + 32 = 0. Suppose -2*s = 3*s + f. Sort -1, s, 3 in ascending order.\nAnswer: s, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2797.37955 minutes in weeks?\nAnswer: 0.2775178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*u + 59 = -20 + 109 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 427479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 + -13. Let p be 3\/h + 3\/(-6). Let r = 1 - p. Solve r = l - 3*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.452489 grams to micrograms.\nAnswer: 3452489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-14)\/2)\/((-4)\/12). List the prime factors of (-1 + 2 - d)\/(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + h = 4, -u + 4*h - 20 + 1 = 0. Solve -u = x - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 0, -1, -3, 3 in decreasing order.\nAnswer: 3, 0, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -88.8, -0.2?\nAnswer: -88.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1562824815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1026 or -2030?\nAnswer: -2030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2 + 4 + r + 54*r**2 + 27*r**2. Let o be p(-3). Suppose 0*m = 6*m - o. Is 25 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15897 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 21 = -5*i. Let o = -7 - -19. Suppose -7*t = -o*t + 15. Solve 0 = -0*h + i*h - t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5052 and 27547714.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -15 + -50?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o - 13. Let i be g(9). Suppose -20 + 36 = 8*n. Suppose 0 = -n*c + m + i - 5, -20 = 4*m. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1334 and 6240866?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 44783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 88 = 4*i. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23394669461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 46*h + 11*h - 30*h + 17 wrt h?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (((-18)\/2)\/(-1548))\/(58\/8). Is 1 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6273 + -43914\/7. Sort -1\/3, 0.2, 4, -10\/13, t.\nAnswer: -10\/13, t, -1\/3, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13885728 and 2.\nAnswer: 13885728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 19*s**2 - 10*s + 10. Is y(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 42 + 11. Let k = 16 + -2. Calculate the remainder when a is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 3  (c) 22  (d) 10  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + 3 + sqrt(8) + (sqrt(2) - sqrt(14)\/(sqrt(28)\/sqrt(4))))**2 + sqrt(20)\/(sqrt(1210)*1 + sqrt(10)).\nAnswer: 217*sqrt(2)\/12 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 97 - 75.8. Let o = i + -21. Put -1\/3, o, 1 in ascending order.\nAnswer: -1\/3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -3*u + 5*u + 2 + 0*u. Is w(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -205 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -237*a*z**4 + a*z - 1410*a - 10*z**4 - 9 wrt z.\nAnswer: -948*a*z**3 + a - 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(11\/3)\/v**(-9\/2) assuming v is positive.\nAnswer: v**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -52d104 - c1?\nAnswer: -52d1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-522)\/15*(3 + 87\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxxxxlx?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/6 - 7\/(-2). Suppose -4 = -m + l. Let n(s) = s - 5. What is the units digit of n(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + -1. Let m be (25\/(-30))\/(j\/4). Is 1 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 16410 + 16*t - 16391 + 67*t. Let p(k) = k. Calculate p(j(c)).\nAnswer: 83*c + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 1544*d - 9140. Let j be a(6). Solve 0*b = 62*b - j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that s**5\/6 + 11*s**4\/3 + 16*s**3 - 48*s**2 = 0.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence onmn when four letters picked without replacement from ohmqnqj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 378.81  (b) 0  (c) 2\/7  (d) -345\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {v: 3, o: 2, l: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 511 is divided by 89?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/8 and ((-920)\/(-5640))\/(-1*(-1)\/(-3)).\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of 0*w**6 + w**7 + 0*w**4 + 0*w**2 + 0*w**5 - 6 + 0*w + 1\/3*w**3. Find the third derivative of c(l) wrt l.\nAnswer: 840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.08 - -7.08. Let p = -7.6 + -2.4. Let w = o + p. Which is the nearest to -0.2?  (a) w  (b) -1\/2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 5*h + 80 = 0. Let x be (27\/(-12))\/((-6)\/h). Calculate the greatest common divisor of x and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -0.4  (b) 0.3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 677949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (23\/46)\/((-2)\/(-192)). Calculate the highest common divisor of 84 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30000320130 (base 4) in base 14?\nAnswer: -5bda0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5.58 - 0.190967.\nAnswer: -5.770967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 99, 321, 667, 1137, 1731?\nAnswer: 2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30928964 and 28117240.\nAnswer: 309289640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*a + 120*a = 192 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -108, -429, -954, -1677, -2592, -3693?\nAnswer: -4974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/40 and -95\/6568?\nAnswer: 32840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 25 = -s. Suppose 7*k - 3 = s. Solve d + k*u + 13 = 0, 3*d = -2*d + 5*u + 35 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 660946344 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 + -0.3. Let y = 141\/655 - 2\/131. Sort 0.5, y, w.\nAnswer: w, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9763 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(190)*2*5*4)\/(4*sqrt(490)*2*2).\nAnswer: -15*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -113, -164, -211, -254, -293?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = -5*j - o, 3*j - 5*o - 20 = 15. Let k = 1 - 35. Let d = -14 - k. Calculate the greatest common divisor of j and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 56098067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 14 + (0 - -1) + (-8 - -14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of -4\/11*o**3 - 2\/33*o**4 - 17 + 1\/110*o**5 + 0*o**2 + 2*o. Factor x(s).\nAnswer: 2*s*(s - 6)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c + 8. Let w be y(3). Let l(m) = 5*m + 13. Let f be l(w). Let o = f - 27. What is the greatest common divisor of 121 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 398616.156 to the nearest ten.\nAnswer: 398620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 39, 115, 211, 333, 487, 679, 915?\n\"Answer: t**3 + 4*t**2 + 57*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-135)\/1 - (2 - 2). List the prime factors of (-4)\/14 - p\/7.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 5*p. Let b be 5*(-1 - 6\/(-3)). Suppose -y = -3*y + l + b, -2*y = 3*l + 15. Let a(c) = -3*c + y*c + c. Give k(a(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1443381 by -3.\nAnswer: -481127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 PM and 3:24 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 8 = 23*w - 20*w, 4*h = -16. Suppose w = 3*x - 240 - 336. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z - 2*z**2 - 2 + 3*z**2 + 1 - 2*z. Let v(i) = -i. Let a be v(-1). Let g(x) = x**2 + 3*x - 6. Let p(l) = a*g(l) + 3*k(l). Differentiate p(o) wrt o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2777874*f**3 - 723*f**2 - 2955*f**2 + 2777871*f**3 = 0 for f.\nAnswer: -1226, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -3*u**2 + 6*u + 4. Determine l(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/124332124 and 93\/34?\nAnswer: 2113646108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.0644443 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -23700 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + 2 - 2)*(-3 - 1 + 2) + w + 1 - 1 + 8*w - 13 + 13.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 5*b**2 - 6184*b + 18456. Determine w(3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 605 + 1835 = 20*f. List the prime factors of f.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of a**6\/12 - 7*a**5\/15 - 39*a**2 - 2. Find the third derivative of n(b) wrt b.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 75*x - 69*x, 4*v - 188 = -2*x. Solve 3*d + 6*d = v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8432010 to the nearest integer?\nAnswer: 2904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 3, 1\/11, -10, 2\/3, 0.08, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -51093 - 78985. Let h = 56961 + q. What is h rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 335 = 451. Let q = k + -11834\/15. Calculate the common denominator of q and 25\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1235, -3, 0.2, -2, 0.5?\nAnswer: -1235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 20*(-2 + 2\/8). Let b = -43 - p. Let i(u) = -4*u**2 - 272*u - 1444. Let c(o) = 3*o**2 + 181*o + 963. Let z(r) = b*c(r) - 5*i(r). Factor z(q).\nAnswer: -4*(q + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 7 - 13 = 0. Suppose -9 = -3*s, -3*f = -s - v*s. Suppose -3 = -k, -f*k - 262 = -u + k. List the prime factors of u.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 38132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -3*q**2 + 19826*q - 197937. Determine y(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.432 or -8?\nAnswer: -0.432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 19447507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -228*p + 1027705 + 21900062 = -9*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 61, 165, 373, 715, 1221, 1921, 2845?\n\"Answer: 5*r**3 + 22*r**2 + 3*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 35 + 20, 2*w - 12909 = h. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2655 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -4*d + s, 0 = -5*d - 3*s + 8*s - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(70)\/(sqrt(20)\/sqrt(18)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1152230 - 525?\nAnswer: 1151301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a hour in minutes?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 8*b - 56. What is the remainder when 25 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000012001 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1307 and 104603131.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -37*m**3 + m**2 - 1. Let b be a(1). Let h = 42 + b. Solve 4*k - h*j = -0*j - 37, -2*k + 5*j = 31 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.6 + -15.4. Let x = l + 17. Let n = 2 + -1. Put 0.2, n, x in descending order.\nAnswer: n, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6561 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 872151.88 and 442031.\nAnswer: 1314182.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.5 - -4. Let n = o + 0.5. Let f = -0.3 - -0.4. Do f and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-13)*q\/(q*q**(-1\/7)))\/((q\/q**4)\/(q*q\/q**(2\/21)*q)) assuming q is positive.\nAnswer: q**(-146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 34\/5 of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 202, 142, 48, -74, -218, -378, -548?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -57 and -7.4?\nAnswer: 421.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6941297364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:35 AM and 5:11 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-660)\/50 + 12 - (1\/(-1) + 0)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -132582, -132540, -132476, -132390, -132282, -132152?\nAnswer: -132000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-11)\/(-22))\/((-9)\/4). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ftgg when four letters picked without replacement from {f: 6, t: 3, r: 1, g: 2, b: 1}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 17*t**2 - 23*t - 16. What is y(-16)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 35887699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -30, 1, -0.3, -7\/4, -1\/11?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -184009121.7833629530906 + -13.2162860469094. Let s = -184008888 - q. Let b = -247 + s. What is b rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4\/25 - -86\/225. Let o = -10 - -26. Let h = o - 24. Put t, h, -2 in increasing order.\nAnswer: h, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -o**3 - 523*o**4 + 524*o**4 - 4*o**2 + 7*o + 1 - o in the form x*o**2 + q + j*o + r*o**3 + l*o**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -25. Let w = z + -22. Suppose -23 = -q - w*i, -q + 4*i + 10 = 1. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 plus 196.2?\nAnswer: 200.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n\/(((n*((((n*n**(1\/6))\/n)\/n*n)\/n)\/n)\/n)\/n))\/(n\/n**(1\/19)))\/(n**8\/(n\/((n*n**(2\/7))\/n)*n)))**(7\/11))**34 assuming n is positive.\nAnswer: n**(-46121\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from immiii.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*h - 2*h + 65*h**2 + 306 - 306 to q*h**2 + n + g*h and give q.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -559 + 811. Suppose c = -2*a + a. Let p be a\/(-12) - 2*2. What is the greatest common divisor of 68 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3)*g**(-6\/11)*g)\/(g**4*g**(-1\/2)) assuming g is positive.\nAnswer: g**(-133\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 804930 greater than or equal to 804932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s + 1226 = 16904. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -254?\nAnswer: -3\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from ppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/2 or 68490.75?\nAnswer: 68490.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from huyregrhu. What is prob of picking 1 e, 2 u, and 1 g?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 294*y + 11 = 289*y, -2*y + 4 = 2*f. What is the lowest common multiple of 266 and f?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*u**2 + 26*u**2 - 8*u**3 - u**3 + 26*u**2.\nAnswer: -9*u**3 + 23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 120749380 to the power of 1\/2, to the nearest integer?\nAnswer: 10989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**3 - 372*v**2 - 8227*v - 2748. Determine j(206).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6134 (base 8) to base 6.\nAnswer: 22352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1774275082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j + 2*j - 2 + j + (-j + 0 + 0)*(4 - 4 - 2))*(-283330 + 566631 - 830*j - 283318) in the form h*j + k + f*j**2 and give h.\nAnswer: 1609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2.99 and 1221402?\nAnswer: 1221399.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71 is divided by 53?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 6, b: 7, m: 2}. Give prob of picking 3 o.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 6*s + 3. Determine m(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 101663278 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-13449)\/228633 - (2014\/(-1870) - -1)\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2161, -4308, -6455, -8602, -10749, -12896?\nAnswer: -15043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4972.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 258237 bigger than 255704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*l**3 + 149*l**3 + 216*l**3.\nAnswer: 291*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 197382648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*b - 41*b = -2744. Let p = b - 127. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1198 + 3348. List the prime factors of h.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fzjfzjit. Give prob of picking 1 i, 1 t, and 2 j.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -118 + 121. Solve -r*j = -0*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 AM and 6:58 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 12628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppleef.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2\/4 - 1383*m\/4 - 4767\/2.\nAnswer: -3*(m + 7)*(m + 454)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k**3 + 2*k**2 - 1. Let r be (0 + -1)\/(16\/(-144)). Let j = r - 8. What is s(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 51 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 33.5*-7\nAnswer: -234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in 1\/18, -15, 0.2, -74, 0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dulj when four letters picked without replacement from {j: 1, u: 1, l: 1, m: 2, d: 1, w: 2}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -160453, -160435, -160417, -160399, -160381, -160363?\n\"Answer: 18*d - 160471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/19 and 315\/54 + -2*1?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2033776940 and 4310?\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -3*j + 171903. Let l(r) = -r**2. What is a(l(y))?\nAnswer: 3*y**2 + 171903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 4*w + 5. Let t be x(-5). Let g = t + 13. Let h = 1.1 + -6.1. Which is the nearest to g?  (a) 1\/5  (b) h  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 5*p - 2. Suppose 4*b + 10 = -2*t, 3*t + b + 7 = 3*b. Sort t, 1, p in ascending order.\nAnswer: t, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p + 9. Let o be r(-5). Suppose 32 + 33 = g + o*w, 0 = -g + 2*w + 35. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 589 = 2*n, 0 = 4*n - 13*i + 18*i - 1177. What is the remainder when n is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7165 - 108*z + 7165.\nAnswer: -108*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -173 + 257. Suppose 0 = 4*s - 2*g + 4*g - 56, 3*s - 2*g = 28. What is the highest common factor of s and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -790, -1110, -1430, -1750, -2070, -2390?\n\"Answer: -320*o - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 9533, 38519, 86957, 154847, 242189, 348983?\n\"Answer: 9726*r**2 - 192*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d + 4c18?\nAnswer: 4c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvrv when four letters picked without replacement from {r: 2, v: 17}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 152, 0, 105, 4, 2, -2 in ascending order.\nAnswer: -2, 0, 2, 4, 105, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus -181?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637)*1 - sqrt(234)\/sqrt(2))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-2\/15))**(2\/43)*a**(-14)\/(a\/(a**(-2\/11)*a)) assuming a is positive.\nAnswer: a**(-100334\/7095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -53, 0, -2, 2 in ascending order.\nAnswer: -53, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or 13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.451918 rounded to 3 decimal places?\nAnswer: -3.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2 - 5570679*h.\nAnswer: -3*h*(h + 1856893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 582 is divided by 149?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5359?\nAnswer: 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.15, 897 in ascending order.\nAnswer: 0.15, 4, 897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/((sqrt(18) - sqrt(72))\/sqrt(3)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1012 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*q - q + 2*q)*(2 + 1 - 4)*(2*q - q**2 - 2*q)*(40*q + 101*q - 272*q) to o + m*q**2 + f*q**3 + y*q**4 + h*q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 84, 698, 2368, 5622, 10988, 18994, 30168, 45038?\nAnswer: 64132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of -j**6\/120 + j**5\/20 + j**3\/3 + j**2. Let r be l(3). List the prime factors of 5 - (0\/1 + r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3400508049 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -j**3\/3 + 3*j**2\/2 - 5*j. What is the units digit of i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j**2. Let n(s) = -3*s - 8. Let b(d) = 3*d + 6. Let c(l) = 4*b(l) + 3*n(l). Give c(k(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 s, and 2 a when four letters picked without replacement from luaskap?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**23*x*x**(-17))\/(x\/((x*((x*x*x**(-21))\/x*x)\/x*x)\/x)*x**(1\/3)) assuming x is positive.\nAnswer: x**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*j - 0. Let c(o) be the second derivative of -11*o**7\/840 + o**5\/120 + 5*o**3\/6 - o. Let r(l) be the second derivative of c(l). What is r(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t + 27*t - 5*t + (-5*t - t + 5*t)*(2 + 1 - 2) to the form y*t + q and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5178 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: Four letters picked without replacement from mrrrmmrmrmmrrmrmmmmr. What is prob of picking 2 r and 2 m?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/(-3)*(-7)\/(-546)*13*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-238)\/(-42) + 10\/(-2). What is the nearest to 0.1 in s, -6\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**3 - 215 - 564*m**2 - 560*m**2 + 73 - 544*m**2 + 1668*m**2.\nAnswer: -3*m**3 - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 10 - 13 - 31*g - 12 + 5*g. List the prime factors of w(-5).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14)\/28 + 6\/(-4). Let i(d) be the first derivative of -17*d**4\/4 - d**3\/3 + d**2\/2 - 3*d - 1. What is the remainder when i(v) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of 1927*i**5\/10 - 5*i**3\/3 - 4*i**2 - 3477*i. What is the second derivative of m(r) wrt r?\nAnswer: 23124*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3952\/159313 or 1?\nAnswer: 3952\/159313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.04 and 539.\nAnswer: -21.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 + 7*h**2 + 6. Let o be f(-7). Suppose -78*v = 68*v + 730. What is the hundreds digit of (16 - 18)\/(v\/(2775\/o))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.88 + 6.7. Let v = -1.48 - o. Let u = 4 + -2. Which is the smallest value?  (a) 0.1  (b) v  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + sqrt(100)\/sqrt(5) + -3)**2 - (sqrt(40)\/(2*sqrt(8)))**2*-2.\nAnswer: -24*sqrt(5) + 183\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 8.02 and -14464107.\nAnswer: -14464098.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of -1\/2*y**2 + 1\/6*y**4 + 57*y + 0 + 11\/6*y**3. What is f(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 252*p + 116*p + 4 - 17 + 11.\nAnswer: 368*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/11)\/(872\/(-76736))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2103101 + 31010?\nAnswer: 2200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/1*24\/16. Let s(c) be the first derivative of -32\/15*c**r + 17\/5*c**4 - 2 - 52\/25*c**5 + 4\/5*c + 7\/15*c**6 - 1\/5*c**2. Factor s(i).\nAnswer: 2*(i - 1)**4*(7*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 13*j**2 + 411*j - 2351. Calculate a(-46).\nAnswer: 6251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 3)*(-6)\/(-4). Suppose -2*s + 5*w - 3*w = -146, -w = 4*s - 267. Suppose 2*b = -2*l + s, -l - 65 = -h*l - 5*b. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -145\/193536 and 29\/91224.\nAnswer: 35030016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = a - 3. List the prime factors of (a\/(-4))\/((-7)\/224).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, m: 3, k: 2, g: 3, s: 3, d: 1}. What is prob of sequence mk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, g: 7, c: 3, e: 3, i: 1, f: 3}. Give prob of sequence gi.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -0.05, -33.\nAnswer: -33, -0.05, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + (-30)\/100*(-68)\/18. Which is the closest to 0?  (a) z  (b) 0.4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 25 = -2*p + 1, 0 = 3*p + b + 41. Let i(k) = -k - 16. Let m be i(-12). Let w = m - p. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 PM and 2:34 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/2 - (4 - (-7)\/(-1)). Let i be (1\/(-3))\/(f\/3) + 1. Suppose 0 = -4*r, v + r = -i*v + 276. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 a factor of 17670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -153 + 138. Suppose -5*l = -4*q - y, l + q - 19 = -l. What is the remainder when 26 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l + 3*l + l)*(-l**2 + 0 + 0) - 374*l + l**2 + 370*l - 2*l**2 + 9*l**3.\nAnswer: 8*l**3 - l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 248*k = 123*k + 123*k + 288, -18*k - 36 = 0 for l.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of a**5\/120 + 7*a**3\/3 + 17. Let s(v) be the third derivative of f(v). Give s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6737188519 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 2*j**4 - 27672*j**3 + 387118*j**2 - 1409952*j + 1492776 = 0.\nAnswer: 2, 3, 9, 13822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of 3*z**2 + 9*z + 2. Let y be 3*(1\/3)\/(4\/(-68)). Let a(k) = 2*k + 3. Determine y*a(l) + 6*d(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -304\/2055 - -2\/137. Let l = 0 - -4. What is the nearest to -2 in -5, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -23594, -23586, -23578, -23570, -23562, -23554?\n\"Answer: 8*z - 23602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/352 and -83\/23056?\nAnswer: 46112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 409 - 0.3.\nAnswer: 408.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-8)*y**10)\/(y**(-11))**(-24) assuming y is positive.\nAnswer: y**(-261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 19 + 16 + 55 + 8*s. Let x be c(-10). What is the greatest common factor of x and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {f: 1, z: 3, r: 1, w: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 330 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 p when three letters picked without replacement from rwwwwrprwrrwp?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2*n**3 - 30*n**2 + 109*n + 12. Determine a(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 10  (b) 5694  (c) -0.4  (d) -5  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -34132\/3*f - 215\/3*f**3 + 22472\/3 + 1\/3*f**4 + 3958*f**2.\nAnswer: (f - 106)**2*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2213*j**3 + 731*j**3 + 737*j**3 + 735*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 3 = -3. Sort a, 0, -1, -5.\nAnswer: -5, a, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(1600)*6)\/(sqrt(720)\/sqrt(9) - sqrt(60)\/(sqrt(24)\/sqrt(2))) + 3)**2*-2.\nAnswer: -23058 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**3 - 24054*k**2 + 96190*k - 72138.\nAnswer: 2*(k - 12023)*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10526 is divided by 55?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o - 95 - 22 = 0. Let x(d) = -8 + d - 3*d + 3*d. What is the lowest common multiple of 4 and x(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-12)*2*1. Let d(j) = 6*j**3 + 108*j**2 - 6*j - 103. Let o be d(-18). What is the smallest value in h, 2\/3, 5\/2, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -56*z**2 - 2*z + 101. Let s(k) = -57*k**2 - 3*k + 100. Suppose 3 = n - 0*n. Let h(p) = n*b(p) - 2*s(p). What is the first derivative of h(r) wrt r?\nAnswer: -108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 160164.3757 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(144\/(-16) + 4). What is the nearest to p in 0, 1\/4, 48\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 75 - (0 - 8 - (-24 - (15 + -40 + 9)))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97*f + 417*f - 331*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 + -13. Suppose -4829 = -5*k - 3*a, r = -4*a - 2. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*x + 714 = 319*x. Suppose -5*a = 3*h - 19, -3*h + 5*h - 10 = -2*a. Solve -x = -y - h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1018*l + 5*l**2 + 243*l + 280*l + 251*l + 244*l.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d**3 - 49*d**2 - 25*d - 4. Calculate i(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18754972*n + 54484502.\nAnswer: -18754972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iteqi. Give prob of sequence ieti.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -3*s + 2*x - 5*x, 0 = s - 4*x + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 + 0\/(0 + -2 - -3). Suppose -2\/5 - g - 1\/5*g**v - 4\/5*g**2 = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -15, -53, -115, -201, -311, -445, -603?\n\"Answer: -12*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 12*a**2 - 16*a - 33. Determine t(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 12*j + 7*j + 4*j)*(0*j + j - 3*j - 7*j - 11*j + 3*j + (0*j - 2*j + j)*(-3 + 0 + 1)).\nAnswer: 15*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 81*d**3 + 7*d**2 - 3*d - 3. Let f be n(1). What is the highest common divisor of f and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82398 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 816 = 8*r + 784 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v - 5*v**2 + v - 328*v**3 - 122*v**3.\nAnswer: -450*v**3 - 5*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -60.2499 and -0.09?\nAnswer: 5.422491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -45.678423 * 4\nAnswer: -182.713692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.06 and -56.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + 14*l**2 - 49*l + 191. Determine f(8).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*q = -85*q + 21930. Does 86 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*i = -19*i + b - 15, -5*b - 35 = 2*i. What is the remainder when (1 - -2)*21*i\/(-15) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1955835 + -3?\nAnswer: 1955832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.1 - -2. Let o = 386.48 + -390.48. Which is the third smallest value?  (a) l  (b) -2\/3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -53, 3, 7924\/5 in decreasing order.\nAnswer: 7924\/5, 3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(1\/22*858\/39))\/(1\/(-7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*m + 20*m + 546. Let g = m + 187. Solve g*n + 0 = 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 11:13 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 15) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*g + 5)*(-3 + 6 - 2) + (9*g - 12*g + 2 - 8*g)*(6 - 1 - 1).\nAnswer: -46*g + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3 = -7. Suppose -4*r + 60 = -n*x, r + 5*x - 45 = -5. Let c(w) = -w**2 - 7*w + 1. Calculate the remainder when r is divided by c(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = -14*p + 88 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.5  (b) -6338  (c) -2\/59  (d) -2\/3  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1222310 - 1244?\nAnswer: 1221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, h: 2, n: 1}. Give prob of sequence hkn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*q**2 + 71032*q + 315346564 = 0. What is q?\nAnswer: -8879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 559 and 48676.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2\/2 - 93216*j - 1448203776.\nAnswer: -3*(j + 31072)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-58)\/(-5))\/((-3)\/(-10 + -5)). Let d = -61 + t. List the prime factors of 8*(1 + d - (-20)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -868, -3, -2 in descending order.\nAnswer: -2, -3, -868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1872097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 37781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -1091371.31.\nAnswer: 3274113.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 883199 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 2\/3, -165, 1.06, 1, 0.5 in descending order.\nAnswer: 1.06, 1, 2\/3, 0.5, 1\/5, -165","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 194294?\nAnswer: 2, 19, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -4*v - 4*b, 9 = -3*v - 7*b + 6*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1188 from -4882.\nAnswer: -3694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 = -11*o - 12*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**3\/3 + 37328*g**2 - 261445212*g + 7832161960\/3.\nAnswer: -4*(g - 13993)**2*(g - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1050*r - 1050*r + 22*r**6 + 23*r**2 wrt r?\nAnswer: 2640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 3317.47 centuries?\nAnswer: 331.747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4906636 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 954391, 1908737, 2863083?\nAnswer: 3817429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 20 + 30. Let g(s) = s**2 - 11*s - 6. Let n be g(f). Let x = n + 29. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 5 = -51. Which is smaller: q or -12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w = -1 + 67. Solve 0*d = -3*d - w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -31?  (a) -164  (b) -0.1  (c) -2  (d) -0.15  (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 252 + -433. Let u = c - -260. What is the remainder when u is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 31*o + 83. Let n be c(5). What is n rounded to zero decimal places?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*f**2 - 1 + 3 + 5*f**2 - 11*f**2 to a*f**2 + l*f + s and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 1\/17  (c) 28  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j**3 - 377*j**2 - 5*j + 547. Let h(c) = -5*c**3 - 565*c**2 - 8*c + 821. Let q(z) = 5*h(z) - 8*n(z). Differentiate q(p) with respect to p.\nAnswer: -3*p**2 + 382*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of -t**4\/24 + 123*t**2. Let l(p) be the second derivative of p**4\/4 + 7*p**2 + 4*p. What is v(l(q))?\nAnswer: -3*q**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/15 of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 2 - 10. Suppose 3*p + 2*s + 0*s = -15, -2*s = g. Let c be (4 + 8\/(-2))\/p. Solve c = -q - 3 + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*y - 63*y - 132 = 0. Suppose 15 - y = c. Solve 2*x = 3*k - c, 3*x + x - 24 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -5*n - 15, -4 = -3*g - g - 4*n. Suppose -8 - 2 = 2*v. Let r = v - -11. Solve 4*b - r*b = 3*c + 8, 0 = 4*c + g*b + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.77296 decades in centuries?\nAnswer: 0.677296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-51*o - 7*o + 10*o)*(o + o - o).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 - 3*x**2 - 2*x + 5. Suppose 2*w - 6*w = -16. Let m be ((-2)\/w)\/((-3)\/(-24)). Calculate the remainder when 56 is divided by l(m).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*h - 14*h - 18*h)*(91 + 125 + 21)*(-h**3 + 2 - 2) to b*h**3 + a*h**4 + u*h + m*h**2 + f and give a.\nAnswer: 10191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 208672030 divided by 5?\nAnswer: 41734406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/14*52\/(-1235)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w + 419 - 349 = 0. Solve 4*t - 2*n = 20, 5*t + 10 = w*t - 2*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -957bb - -2?\nAnswer: -957b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112804907.\nAnswer: 112804907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 0.11  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -303 - -546. What is the remainder when y is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -56*b + 18. Let x be p(-7). Let j = x - 180. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97780108 is divided by 5744.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + s + s + 4, s = -4*f + 5. Let z be f\/(-4) + 104\/112. Which is the nearest to -6?  (a) 2\/7  (b) z  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 PM and 6:16 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -15*x + 21. Let d(g) = -2 - 4 - 2 + 3 + 0 + 4*g. What is 21*d(p) + 5*j(p)?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2332101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 29 = -3*b, b - 4*l = -0*l + 23. Let v(f) = -f**3 + 7*f**2 + f - 9. Let g be v(b). Let q be g\/((-9)\/(-6) + -2). Solve 0*h + 8 = q*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 3:19 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -3*s + s**2 + 6*s + 11 + s. Suppose -2*y + 0*y - 2*u = -12, -5*u = -4*y + 15. What are the prime factors of h(y)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 13 and 454.86.\nAnswer: 467.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 112 and 2736.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 48\/180 + (-42)\/70. What is the third biggest value in 2\/101, t, 0.2, 12?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -4755 and -4761 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -q**2\/2 - 5*q - 1. Let x be -2 - 5\/(-5 - -4). Let y be o(x). Is -8 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 175*p + 7. Let n be b(2). Is (n - -1)*(-4)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-2*sqrt(17)*2)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.62948 plus 0.16?\nAnswer: -1.46948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**5 - 52*y**4 - 498*y**3 - 2080*y**2 - 3200*y = 0. Calculate y.\nAnswer: -8, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 5 = -l, -1 = -3*x + 3*l - 4*l. Suppose -2*f + 6 + x = 0. Let r(t) = f*t**2 + 2*t**2 - 4*t**2. Let g(b) = 3*b. Give g(r(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -4*c**3 + 2*c**2 + 2. Let r(g) = 4*g**3 - 3*g**2 - 3. Determine 3*f(p) + 2*r(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-12)\/8 + 4)*332\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 12:49 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 77 + (-3 + 7 - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*r - 316*f + 317*f - 6, 5*r - 2*f = -11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -126*m + 123. Let v(b) = 45*b - 44. Let y(a) = 17*v(a) + 6*w(a). Calculate y(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -1) + 70\/((-15680)\/504).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -386, -400, -430, -482, -562, -676?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 + 33*j + 25. Let i be r(-6). Which is the smallest value?  (a) i  (b) -4  (c) 0.2  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4052 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/93 and -51\/3402095.\nAnswer: 10206285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**4 - 3*l**3 + l**2 - l - 1. Let q(i) = -2*i**4 - 3*i**3 + 50*i**2 - i - 351. Let c(o) = q(o) - w(o). What is the first derivative of c(x) wrt x?\nAnswer: -4*x**3 + 98*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22981 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -250*h**2 + 28593*h - 57184. Calculate x(2).\nAnswer: -998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from agxxxigoixiggigg. What is prob of picking 3 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 8*x + 1328 = -2*f, f = 4. Calculate the remainder when x is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 9, f: 5}. Give prob of sequence xx.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 plus -75302?\nAnswer: -75328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - 1 - (-2 - -3). Let w = 2 + s. Let b = 2 - 0. Solve w*n - b*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 6*b**2. Let c(r) = -2*r**2 + 22*r. Let j(f) be the second derivative of -f**3\/6 + 21*f. Let q(w) = -2*c(w) - 44*j(w). Calculate q(m(x)).\nAnswer: 144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**4 - 2*o. Suppose 2*j + 10 = -12. Let w(m) = -6*m - m**4 - m**4 - m**4. Let t(p) = j*z(p) + 4*w(p). What is the second derivative of t(u) wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mununnynmnmnxmmnnn. What is prob of sequence nu?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*3\/(-6) + 44. Let q be 11\/((-44)\/(-8)) - -73. What is the greatest common factor of q and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7502)\/(-641421) - 4\/18.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -41, -86, -145, -224, -329, -466?\n\"Answer: -v**3 - v**2 - 35*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 14 + 0 + -4 + -2 + 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is f + -115?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - -32. Let h(l) = -l**3 - 6*l**2 + 10*l + 3. Let a be h(-7). Let s = f + a. What is the highest common factor of s and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 156, 287, 418?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - ((-17 - -5) + 5 + 23) - -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7743086 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 1464.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {l: 1, o: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 34 + -16. Let f be (-16 - -16 - (1 - -173)) + -2. Let l be 88\/f - 37\/(-2). Solve r = 4*b - 0*r + i, 4*r + l = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - (-1)\/((-290)\/30 + 10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z**2 - 6*z**2 + 7*z**2 + 12*z**2 + 2*z**2 - 7*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 6929 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: What is the closest to -2\/11 in 1.6, 3, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 45\/10*(-4)\/(-3). Suppose -2*k - 2*w = 4, 5*k + 3*w = -w - z. List the prime factors of k\/6 + 50\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-84))\/(5\/105)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 623 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, t: 11, y: 3}. Give prob of sequence yttt.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 6*(sqrt(720) - 5*sqrt(720)) + -3 + 0 + 1*sqrt(720) + (sqrt(720) - (-1 + (-2*sqrt(720) + sqrt(720) - sqrt(720)) - sqrt(720))))**2.\nAnswer: 2736*sqrt(5) + 259956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 124513344 - 3?\nAnswer: 124513341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13*i**3 + 15*i**3 - 21*i**3 + 3*i**2 wrt i?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 19*a**2 - 43*a + 81. Suppose 4*m + 14 = -5*k - 5, -25 = m - k. Give q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 9:43 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1061821385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1329954413 to the power of 1\/2, to the nearest integer?\nAnswer: 36469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 - 2*q - 7. Let x be u(3). Let p be 6\/(12\/(-55))*x. What is the greatest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*i + i + 7 + 4*i + (-3*i + 3*i - i)*(1 - 1 + 1) - i + 4*i + 3*i + 0*i + 3*i - 5*i.\nAnswer: 2*i + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2*j - 11 + 25 + 10 - j**2. Let a be n(-6). What are the prime factors of (a - 0)*1\/2 - -153?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 12) to base 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 1329 + 1351 = 0. List the prime factors of g.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z + 27 = 18*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of -q**5\/60 - q**4\/12 + q**3\/2 - 350*q**2 + 2. Let f(b) = 3*b**2 + 7*b - 10. Give -2*f(h) - 7*r(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6 - 9 - (-3 + -4). Solve -3*p - g*u = -7 - 0, -p + u = 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 6\/47, -0.2 in increasing order.\nAnswer: -0.2, 6\/47, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30666 and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 511 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**3 - 2*s**2 - 4*s - 2*s - 7*s + 15*s to v + r*s**3 + a*s + y*s**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -10 - (7 + -18) - 13 - (1 - -46).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2\/7 + 1000*f\/7 - 996\/7.\nAnswer: -4*(f - 249)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5300152153 + -4?\nAnswer: -5300152201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 12:52 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 15*u**2 + 18*u - 37. What is o(16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5323008 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 88 = -6*x. Find the second derivative of -x*d + 443 - 15*d - 443 - d**2 wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.059169 + -0.316799. What is c rounded to three decimal places?\nAnswer: -0.258","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-4) + 13\/(-26). Suppose j = d - 0 - 3. Suppose d*h - 13*h + 10 = 0. What is the closest to 0.2 in h, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 5*d, o + 6 - 1 = -5*d. Suppose 3*r = 4*f - 14, -f - o*r = 2 - 17. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 4, -952, -29, 3, 0 in descending order.\nAnswer: 11, 4, 3, 0, -29, -952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 12*p**2 - 13*p + 5. Let g be o(13). Let s(b) = 13 - 12 - b + g. Determine s(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 100*u + 98*u - 28 = 0, -4 = -3*u - 28. Let y be (-1246)\/(-8) + (-2)\/(-8). What is the greatest common divisor of k and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-151)\/((-924875)\/250) - (-201)\/(-1323).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*(-1530)\/357 + -21.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -2002*j + 1997*j - 2*w, -5*j + 55 = 5*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/2)\/(171\/14706). Suppose 6 = -3*f + 5*f. Suppose m + 5*x - r = 0, f*m - 2*m + 3*x = 41. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*f - 16 + 67 = 0. Let l(h) be the first derivative of -h + 7. Let a(y) = -2*y**2 - 2*y - 8. Give f*a(j) + 2*l(j).\nAnswer: 2*j**2 + 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 4 - 9 = 0, -2*y - 18 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -134 + 141. Let v(f) = -21 + 3 + 1 + 2*f + g. Let b(t) = 2*t - 9. Determine -6*b(q) + 5*v(q).\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f - 3*f - f)*(2 + f - 2)*(-2*f**3 + 2*f**3 - 2*f**3) + f**5 - 2*f**5 - f**5 + (f + 0 + 0)*(f**4 + 3*f**4 - 6*f**4) - 3*f**5 + f**5 + 0*f**5.\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 100 + -57. Let q(a) = -43 + 3*a + v. Let b(u) = -u**2. Give b(q(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 275*a - 520 = -272*a, -1548 = -3*y - 3*a. List the prime factors of y.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31801581109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**3\/7 + 12*b**2\/7 + 30*b + 28.\nAnswer: -2*(b - 14)*(b + 1)*(b + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)\/sqrt(4))**2 + -5 + -3 - -4*(sqrt(48) + (0 + sqrt(192) + sqrt(192))**2).\nAnswer: 16*sqrt(3) + 3091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - l + 19 + 20, 0 = -3*l + 12. Let b(h) = -h**2 - 6*h - 1. What is b(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3059.4 times -57.86?\nAnswer: 177016.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 5*t - 11. Let k be ((-2)\/(-4))\/(15\/(-3 + -237)). What is h(k)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x**3 - 4*x**2 + 3*x - 4. Let w be q(-4). Let t = w - 16. Suppose -t = -5*m + 38. What is the remainder when m is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -12 + 50?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/3  (b) -2  (c) -1257\/2  (d) -0.05  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -0.77.\nAnswer: 2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 282 minus -377?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(14 - (-57)\/(-6)). Which is the closest to x?  (a) 2\/5  (b) 3  (c) 0  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*y**2 - 3*y**3 - 11*y**4 - 1 + 12*y**4 - 2*y**2 to the form t*y + x + r*y**4 + z*y**2 + m*y**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -437, -781, -1031, -1187, -1249, -1217?\n\"Answer: 47*i**2 - 485*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3494 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/10 + 44\/(-10). Let u be 6\/s*(-4)\/2. Suppose -y + u = -0*y. Let n(q) = 4*q**2 + 3*q. Let b(t) = 7*t**2 + 5*t. Calculate y*b(p) - 5*n(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -312 (base 5) to base 12\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cucvuxdvkccd. Give prob of sequence uc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 741.02 - 741. Let i be (-4*2\/(-4))\/14. Sort i, -3, -1, f.\nAnswer: -3, -1, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - d - 509 = -c, 4*d + c - 406 = 0. Let b(q) = 62*q + 2. Let m be b(2). Let t = d - m. Which is smaller: -24 or t?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60\/700*250\/(-300)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 3*v**2 + 6*v - 1. Let l be w(4). Find the second derivative of 9*o - 27*o + 8*o + 7*o**2 + l*o wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3230 by -5.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(4\/3)\/(j*j**(4\/5))*j**(-5)*j**(-1\/12) assuming j is positive.\nAnswer: j**(-111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 43880.26132 rounded to 0 dps?\nAnswer: 43880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 10000101011 (base 2) to base 11\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.3 - 0.2. Let w = 0.9 + l. Let m = 0 - w. Put 0.1, m, -2\/13 in descending order.\nAnswer: 0.1, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 PM and 4:58 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -183782394 divided by 183782394\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12204 + -322103?\nAnswer: -334312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - (-40 - (134 + -138))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 30 = 9*h. Solve 3*m - 2*m = h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.2 and 40471?\nAnswer: 40470.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 117\/(-26)*(-4)\/9. Suppose -3*i = l*i - 10. Suppose -171 + 39 = 12*d. Sort d, -3, i.\nAnswer: d, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 835380604 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -4*n**2 + 5*n - 5. Let l(x) = 5*x**2 - 6*x + 6. Let s = 22 - 16. Suppose -6 = -s*z + 4*z. Suppose -z*d - 11 - 4 = 0. Give d*l(t) - 6*p(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 336536.\nAnswer: 2, 23, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1322 - 1301321012?\nAnswer: -1301323000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -9886958.\nAnswer: -4943479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -15073 times -25119\nAnswer: 378618687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 9 = -n - q, 4*n - 4 = 2*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 355 is divided by 82.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-155)\/186)\/((-1)\/(-6)). Sort -0.4, -2\/149, q in decreasing order.\nAnswer: -2\/149, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -2\/3  (c) 2\/5  (d) 1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of b**9\/52920 - b**8\/23520 - b**7\/17640 - b**5\/30 + 2*b**2. Let k(i) be the third derivative of x(i). What is d in k(d) = 0?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1424 and 79136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 302 - 287. Solve 5*g + 0*g + u = m, -4*u - 16 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 194.4 or 99\/1300?\nAnswer: 99\/1300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*s + 65 = -79. Find the common denominator of -59\/156 and (s\/(-6))\/(-3 - 646\/(-218)).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (390\/(-50))\/((48\/(-104))\/((-20)\/13))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -14*m**3 + 6*m**2 + 19*m + 4. Let u(f) = 18*f**3 - 7*f**2 - 21*f - 5. Determine -4*l(i) - 3*u(i).\nAnswer: 2*i**3 - 3*i**2 - 13*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b + 4. Let n(a) = 3. Let g = 3 + -10. Let q = g - -5. What is q*s(d) + 3*n(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 10 + 2 + (1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1377406 and 706?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2*p + 2, 0 = -2*a - 0*p + p + 11. Suppose 4*h - 8 - a = 0. What is the remainder when 8 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 divided by 7103?\nAnswer: 104\/7103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -364  (c) -1  (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of -2*w**2 + 0 - 2*w - 1\/3*w**4 - 1\/20*w**5 + 1\/3*w**3. Suppose -2*a - 12 = -2. What is v(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1567 - 796. Let q = h + -766. Sort q, -2, 2 in descending order.\nAnswer: q, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/336 and -22\/21.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (240\/(-840))\/(33\/7).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 72847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12551 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 10) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 827.3314kg to tonnes.\nAnswer: 0.8273314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -372 divided by 4\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 240*z - 2377 + 3802 = -2567 - 1288 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -111126 (base 9) to base 2\nAnswer: -10000001110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -356 + -151. Let a be (-2)\/(-8) + (-6358)\/(-8). Let f = d + a. Does 48 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6083 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1570299237 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3475992 and 133692?\nAnswer: 3475992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3725 + -3686. Solve 0 = 2*h - f*u + 34*u + 23, -4*u + 20 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 946, 945, 944, 943, 942?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3531\/4265 at least as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3766.\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-312)*-9)\/(21\/(-84))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1960, 3920, 5882, 7846, 9812, 11780, 13750?\nAnswer: 15722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 78 = -2*k. Suppose -3*d = -4*z - 69, 5*d = -8*z + 7*z. Is (z + 1)\/((-12)\/k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {v: 1, l: 2, q: 2, g: 2, o: 1, b: 7}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 8 = l. Let y be 1\/(-7) - l\/(-7). Is y smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(418)*-2*-3)\/(3*sqrt(44)\/sqrt(4)))\/((sqrt(70)\/(sqrt(20)\/sqrt(4)))\/(sqrt(21)\/(sqrt(3) - sqrt(12)))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/30 and -37\/19.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000835633685 to 7 dps.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - ((-2 - 1) + -196). Let z = i - 140. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 256464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2. Let z = 0 + 0. Suppose 3*c - 6 - 9 = z. Let l = -1235 - -1232. Let i(q) = -q**2. Give c*j(w) + l*i(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -319 + 483. What is the common denominator of 29\/3 and (j\/45 + -5)*3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -221 + -50 + 257 + -34 + 0\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 190506171 + -4\nAnswer: 190506167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -34*d + 29*d - 5. Suppose -6*u + 4*u + 4 = 0. Which is the closest to d?  (a) 1\/4  (b) u  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -9*j**3 + 6*j - 4. Does 11 divide h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 (base 3) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6078\/19 - -320. What is the smallest value in 5, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 4*g**2 - 10*g + 9. Let y be v(1). Let s(z) be the second derivative of 1\/2*z**2 - 1\/2*z**y + 0 - 3*z. Find the first derivative of s(j) wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1372 and 1632.\nAnswer: 559776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 v when four letters picked without replacement from xdlxgdvxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36, -42, -50, -60, -72, -86, -102?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (-4 - (-19 + 16) - 11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - 19*o**2 - o + 66. What is x(18)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of s**6\/120 - s**4\/8 + s**3\/3 + s**2\/2 + 6. Let d(f) be the second derivative of p(f). Factor d(l).\nAnswer: (l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 108*f - 48*f**2 + 63*f - 388*f wrt f?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 AM and 3:56 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**3 + 2*a**3 + 0*a**3 - 6*a + 8*a**5 wrt a?\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - m + 20 = 0. Suppose -m*j = -0*k - k + 25, -4*k + 5*j + 45 = 0. Is 4 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -58*a - 118. Let r be h(-5). Calculate the highest common divisor of r and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -92882 equal to -93857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 1:27 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59.8 + 53. Is p greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 t, and 2 l when four letters picked without replacement from {p: 2, o: 3, l: 6, t: 2}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -54331*r**4 + 34009 wrt r.\nAnswer: -217324*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*1*(sqrt(85)*-4*-5 - sqrt(85)))\/((sqrt(405) + sqrt(5))*-1 + sqrt(60)\/(sqrt(48) + sqrt(12))))**2.\nAnswer: 1988388\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 6*a + 2*i - 32, 4*a + 3*i = 41. Suppose -4 = -6*r + 5*r. Solve 0*h = 2*h - r*p + a, 0 = -h - 5*p + 28 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3106?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*o = 4*a - 4, 4*a - 4*o = 16. Let k = 0.0701 + -4.0701. Put a, 6, k in increasing order.\nAnswer: k, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49.4009189 + -49.407. What is j rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/21 and 3680\/(-840) - (-6)\/4?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20.425 * 40.\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Is 2142876 greater than 2142876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 2*q**3 - 3 + q - q - 2*q**3 + 4*q**3 - 12*q + 12*q + (2 + 1 - 6)*(-2*q**3 + 0*q**3 + 0*q**3) - 274 - 41*q**3 + 274.\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - 13 - (-4 + 14).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2105166414.3 and 12?\nAnswer: 2105166402.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -120697, -628, 2 in ascending order.\nAnswer: -120697, -628, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2359*l = -2374*l + 915. Calculate the remainder when l is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -173*i + 2*u = -171*i - 6, 5*i + 3*u - 15 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 130.54704 rounded to 2 decimal places?\nAnswer: 130.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2 = 83. Let p(w) = 82*w + 2. Let g be p(0). Factor f**g + 0*f**2 - 80 - 4*f - d + 165.\nAnswer: (f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 7. Let q(o) = -o**3 - 3*o**2 - 2*o - 2. What is q(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -324287*l - 4*l**2 + 324287*l.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, u: 2, c: 1, n: 4}. Give prob of picking 1 u, 2 z, and 1 c.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**4\/4 - 55*l**3\/2 - 3025*l**2\/4.\nAnswer: -l**2*(l + 55)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 904.69 to the nearest ten.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.0653 in -226, 1, -1.2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 d, and 1 j when three letters picked without replacement from {n: 1, q: 1, j: 3, m: 4, d: 10}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2521 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.05 + -0.05. Let x = -6.142 + -0.058. Let t = x - -6.5. Which is the second biggest value?  (a) m  (b) 3\/7  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 5:01 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 14\/45, 1\/4, -76\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 + -12?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.9 take away 602?\nAnswer: -597.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 87 from -1154.560706.\nAnswer: -1241.560706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 AM and 5:06 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(-2\/11)*v*v)\/v)**(-2\/23) assuming v is positive.\nAnswer: v**(-40\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42\/(74\/(2812\/1197))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 73730.06cm?\nAnswer: 737300600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 357, 367, 375, 381, 385, 387, 387?\n\"Answer: -k**2 + 13*k + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 375491927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10 - -610c?\nAnswer: 60dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3174309217.\nAnswer: 37, 85792141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*f**3 + 61*f - 2 - 42*f - 131*f)*(-1 - 3 + 5) to p*f**3 + v*f**2 + q*f + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gk when two letters picked without replacement from gggrggkkgkgkr?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-5\/7)*f*f**(-6)*f)\/(f**(8\/7)*(f**(1\/8)\/f)\/f) assuming f is positive.\nAnswer: f**(-223\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 - 6 + 2)*(4*t - 6*t + 4*t) + 26*t + 22 - 22)*(0 - 7 + 1) to the form w*t + f and give w.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5404 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g + 2*g + 0*g)*(-34*g + 6279 - 6279) - 1 + 0 + g**2 + 0 + (-g - 2*g + 2*g)*(g + 4*g - 3*g) - 2*g**2 + 0*g**2 + g**2 + 2*g**2 - 2*g**2 - g**2.\nAnswer: -71*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 141948 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 284 (base 9) to base 2.\nAnswer: 11101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 10) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + 1)\/((-114)\/4). Let f = -3315\/2 + 1673. Sort 0.5, f, m in increasing order.\nAnswer: m, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 14, 31, 48?\n\"Answer: 17*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (17 - -1) - (13 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -3 and 184274.836.\nAnswer: 184271.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1767 by 5.\nAnswer: -1767\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1125306 * 1.1.\nAnswer: -0.12378366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16920470 a multiple of 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -1030?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -119 + 274. Let w = -155.2 + g. Which is the second biggest value?  (a) 24  (b) w  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-161)\/63 + 6\/27)*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -505470.7 bigger than 15.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, -0.3, 79218, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -z - 3*f - 435, 4*z - 545 = -3*f. Solve -262 = -67*g + z for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 12, -1726, 0.1, -3, -13.\nAnswer: -1726, -13, -3, -2, 0.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105 = 26*c + 123 + 240 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1584)\/108*(-42)\/(-4). Let r = i + 158. Solve x + 20 = -r*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 1:24 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4563055336913 from -0.02.\nAnswer: 4563055336912.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**3 - 22*n**2 = 0 for n.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/3  (b) -501\/17  (c) -19  (d) 4  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - 16) + (-5 - (-7 + 13 - 8))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 18.9, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + (-4 - -6) - 1. Let r be (w - 68\/(-6)) + 4\/(-12). Factor -4*k**2 + r*k**2 - 20 - 5*k**2.\nAnswer: 5*(k - 2)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + (2*sqrt(170))\/sqrt(10) - (-4 + sqrt(17) + -1).\nAnswer: 5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of 0 + 0*g - 35*g**2 - 1\/60*g**5 + 0*g**4 + 0*g**3. Let q(i) = -10*i. Calculate r(q(a)).\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(18) + -4 + sqrt(6)\/sqrt(3)*-4 + 5)**2 + 3).\nAnswer: -12*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(5) + sqrt(245))*4 + sqrt(5) - (sqrt(5445) + sqrt(45))\/sqrt(9)) + -3)**2 + -5.\nAnswer: -126*sqrt(5) + 2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -286 times 275\nAnswer: -78650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times -25.25247\nAnswer: -2.525247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -282 by -6.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22939 + 11474 + 11465 + 2*a**3 - 948*a to the form u*a**3 + l*a + h + w*a**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 63*f - 3. What is the units digit of c(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 15045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -502, -1004, -1506, -2008, -2510, -3012?\n\"Answer: -502*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.48 - -1.6. Round x to one dp.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 399062, 399058, 399054, 399050, 399046?\nAnswer: 399042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (190 - 153) + (-4 - 16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 1:57 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -0.02668?\nAnswer: -0.97332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + w + 67. Is 26 a factor of s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 - 142 = 3*l. Let x = l - -62. Solve -p - x = -4*s + 2, -5*s - p + 23 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5505731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 5*y + 40, 5*r + 5*y - 10 = 2*r. Let s(l) = -37*l - 9. Let f be s(r). Does 33 divide 27\/12*f\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (-3 + -2) - -1. Let n(a) be the first derivative of -a**3\/3 + a**2 + 6*a - 24. Let o be n(0). Solve t*p = 31 - o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 840188 (base 9) to base 15\nAnswer: 9cbd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*d = 33*d - 34*d - 629 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 47, 1314, -1 in increasing order.\nAnswer: -1, 0, 47, 1314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 275\/(-1100) - (1 + (-9)\/20).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -48c4 + 11?\nAnswer: -48b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11591, -11585, -11577, -11567?\nAnswer: -11555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 3*n**2 - 21*n - 212. Let k be p(-10). Let z = k - 293. Let v(r) = -r**3 + 5*r**2 + 6*r - 3. What is v(z)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.6 and -9.49.\nAnswer: -8.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 5*b + 16813, 0 = 51*k - 55*k - 3*b + 33665. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1674017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -137\/20 - -25\/4. Let s = 964.07 + -959. Let x = s + -0.07. Which is the closest to -2\/5?  (a) 2\/13  (b) x  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 522937\nAnswer: 3\/522937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r + 8416 = 6*r. Let j = 1 + r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1529438.\nAnswer: 2, 764719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -3*p + 3*x + 63, -4*p - 2*x + 54 = 0. Suppose -p = -3*y - k, -6*k + 3*k + 6 = 3*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 9) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2827 by 257.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -139147 - -139349.178. Let z = 47.2 - 249.2. Let t = d + z. Round t to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 3:27 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of 8*a**3\/3 + a**2\/2 + 2791*a. Let i(g) = -164*g. Determine u(i(n)).\nAnswer: -2624*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45 - 14. Let v = -92\/3 + g. Let n(c) = -c**3 + 4*c**2 - 29*c + 169. Let d be n(5). What is the third smallest value in -5, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.3 - 11.3. What is the closest to 0.1 in 2, 3, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21412\/46449 + 2\/3573. Suppose 0 = 7*c - 8*c + 3. Sort c, p, -0.5 in increasing order.\nAnswer: -0.5, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 112973?\nAnswer: 1\/112973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together -438264604 and -503573.\nAnswer: -438768177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*y + 171 + 10*y**2 - 171 + (4*y + y - 3*y)*(5*y - 3*y - 4*y) - 14 + 14 + y**2 + (y + y + 3*y)*(-1 - y + 2 + 1).\nAnswer: 2*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6999859, -13999816, -20999773?\nAnswer: -27999730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 27*r - 697 = 10*r, 2731 - 2814 = -4*m + 3*r + 3*r - r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mbmqzmqbbbbbd. Give prob of sequence mbz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 - 32*c - 27. What are the prime factors of o(-26)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 65300000 to the nearest one million.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(210)\/(sqrt(112)*-2))\/((-2*sqrt(1944))\/sqrt(4))*-6.\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1407676 + 1408846 = 18*k for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4*r = 18, 0 = -c - 0*c - 5*r + 19. Let a = 5 - 9. Let f(h) = -h**3 - h**2 + 2*h + 1. What is the remainder when f(a) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162275 is divided by 541.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -36, -0.1, -17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/((p\/((p*p\/(p*p**(-9\/2)))\/p))\/p)*p*p*p)\/((p**(-10)*p)\/p)*p*p**9*p**(-2)\/p)**(3\/20) assuming p is positive.\nAnswer: p**(159\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 h when four letters picked without replacement from {d: 4, h: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32 - -39. Suppose -z*p = 102 - 5373. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 78 and 8062?\nAnswer: 314418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -11\/2  (b) 6\/7  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (3 + 8)*(-1)\/(3\/(-18)) is divided by 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 700268811?\nAnswer: 3, 11, 17, 71, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 + 51. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ill when three letters picked without replacement from lclllllllllilvlvyi?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111 + -11111001111110?\nAnswer: -11111001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-2 - -3 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of ((-27)\/7 - -4) + 2378\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3570 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 + -7. Let y = -7 + c. What is the units digit of ((-3)\/y)\/(3\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 303\/96*(-16)\/40 and 36\/5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 divided by -13087.\nAnswer: 16\/13087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7748 or 4394?\nAnswer: -7748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.064 + -0.036. Let m = -1.1 + 1. Let x = m - d. Sort x, -4, 0.2 in decreasing order.\nAnswer: x, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -347 and -0.1.\nAnswer: 34.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 AM and 3:55 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -4, -6, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 345 (base 6) to base 14.\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 263?  (a) -1  (b) 2  (c) 5  (d) -2\/5  (e) -165\/7  (f) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15 in 0.5, 2, -0.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 388, 1, 6, 2, 16.\nAnswer: 1, 2, 6, 16, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 49 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 846 (base 11) in base 7?\nAnswer: 2653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 273.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 334158 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -59.4324168 - -59.43. Round x to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-18)\/10)\/(3\/(-4535)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 58684\/(-136) - (3\/2 + 0). Let z = -432 - y. Solve -3*w - 4 = -z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - 22d55?\nAnswer: -22d59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 10) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1864307596 to the nearest integer?\nAnswer: 43178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23695 + 14444. Let x = q - -13672. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 divided by 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2162 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 7*f + 9*f - 48*f**2 - 16*f + (-1 + 5 - 2)*(-3*f**2 + f**2 - 2*f**2) + 2*f - 2*f - f**2.\nAnswer: -57*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1097966 is divided by 60?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 122116 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.6 + -6. Let d = o + -0.1. What is the second biggest value in d, -5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 divided by 9276.\nAnswer: -9\/3092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2\/9 + 146*u\/9 - 316\/3.\nAnswer: 2*(u - 6)*(u + 79)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3900 is divided by 574.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 - 5*j + 19. Determine c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4082 + -3917. What is the highest common divisor of 435 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169366 is divided by 75708?\nAnswer: 17950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6608870?\nAnswer: 2, 5, 660887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -157, -331, -507, -685, -865?\n\"Answer: -y**2 - 171*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**2 + 3*s - 3*s + (5*s - s**2 - 5*s)*(-1 + 5 - 2) + 2*s**2 + 1 - 1 + (15 - 6 - 3)*(5 - 1 + 1)*(-5*s**2 - s**2 + 4*s**2).\nAnswer: -61*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 285785 and 610.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of 1153*d**7\/42 + 2569*d**4\/12 + 4*d + 43. What is the third derivative of t(w) wrt w?\nAnswer: 69180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 0)*(4*n - 5*n + 3*n) - 2*n - 2*n + 2*n + (24*n - 15*n - 5*n)*(5 - 3 - 3).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.57 + 107.43. Let a = b + -108. What is the closest to a in 5, 11, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -64 + 3662337?\nAnswer: 3662253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34500561 or 34500558?\nAnswer: 34500558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 374 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5686102 (base 10) in base 6?\nAnswer: -321512314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3070 + -50. What is the third derivative of -q + 3020 + 31*y**3 + 8*y**2 wrt y?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 18562, 74183, 166860, 296593, 463382, 667227, 908128?\n\"Answer: 18528*j**2 + 37*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 4, f: 3, c: 4, s: 5}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (2 - 2) - (2 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1776947 is divided by 592303?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2518877?\nAnswer: 2518877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 12:34 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -8*m + 100. Suppose 3*r - 5*k = 49, 4*k = -4*r + k + 75. What is the least common multiple of r and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 138?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 3) + 13 + (-8 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2678 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.02 in 82\/5, -1\/5, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1432003033 (base 5) to base 2\nAnswer: -1110011011010000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3*76\/(-1425))\/(2\/(-5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, 30, 4\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27858, 55905, 83952?\nAnswer: 111999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 5*b**2 - 31*b + 160. List the prime factors of m(19).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(1 - -2)*2. Let t = -23 - -23.4. What is the nearest to d in t, -1, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.15 - -0.05. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 91.3 + -91.2. Let g = -0.5 - -0.2. Which is the nearest to -2?  (a) 34  (b) g  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2481 (base 11) in base 14?\nAnswer: -1271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3397*o**2 + 9116*o**2 + 3283*o**2 in the form r + x*o**2 + d*o and give x.\nAnswer: 9002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 359.1927 milliseconds to nanoseconds.\nAnswer: 359192700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 3*i**2 + 15*i + 5. Is g(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, p: 1, g: 2, z: 7}. Give prob of sequence gz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-2))\/(52\/(-104))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -5*i**3 + 47*i - 84*i + 37*i - 168*i**2 - 132*i**2 = 0.\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(3\/10)\/(z\/(z\/((z**15\/z)\/z*z*z)))*((z\/z**(-2\/5)*z*z)\/z)\/(z\/z**(-8\/9)) assuming z is positive.\nAnswer: z**(-1277\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.11878 and 18.\nAnswer: 20.13804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 3 - 138*y + 779*y.\nAnswer: 641*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**3*((m*m**2*m)\/m*m)\/m*m*m**(-4)*m**(-3\/5)*(m*((m\/(m*m**(-1\/3)))\/m)\/m)**14\/(m**(-1))**(-4\/17) assuming m is positive.\nAnswer: m**(-1828\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -139\/2*m - 31\/8*m**2 + 9\/2 = 0. Calculate m.\nAnswer: -18, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-1092)*65 - 2\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14109.5602 rounded to the nearest integer?\nAnswer: 14110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118*w - 150403 = 248542 - 96039. What is the least common multiple of 3 and w?\nAnswer: 7701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011 (base 10) in base 15?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -29, -77, -125, -173, -221?\n\"Answer: -48*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 130336885 divided by 5?\nAnswer: 26067377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2*a + 4)*(-139858 + 15694*a - 139864 + 279722).\nAnswer: -31388*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2394 + 2394.001532. What is a rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 PM and 4:27 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n - 4. Let d be l(-4). Suppose 3*x - 24 = -d*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 7*h - 5*h. Suppose 0 = -7*n + 133 - 28. Solve -b + 9 = 4*v, 4*b = h*v + 2*v + n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(((-33)\/12 + 3)*-6). Let y be (-63)\/c + 16\/64. Sort y, -2\/3, 2, 0.4 in descending order.\nAnswer: y, 2, 0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102636 (base 7) to base 11.\nAnswer: 12425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 3, t: 2, e: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 87690336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**5 + 15*v**3 - 10*v**2.\nAnswer: -5*v**2*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 - 7*j**2 + 6*j. Let q be d(6). Suppose q = l + 3*l - 108. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from mtmyyclnc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t + 2. Let m be v(2). Let u be (9 - 2) + m\/(-3). Solve -2*j + u*y = 2*y + 10, 0 = -3*y + 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gigxigg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 3*q**2 + 25. Let b(w) = 11*w**2. Give b(v(z)).\nAnswer: 99*z**4 + 1650*z**2 + 6875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 2479014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 28 = -7*q. Let w(d) be the second derivative of d**4\/12 - d**3 + 2*d**2 + d. Calculate the remainder when 41 is divided by w(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 39\/7 - (3 + (-136)\/56). Let p = 6 - -25. Suppose -6*r + p = -s*r. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 5 - 10. Suppose 0 = 3*d - m*l - 201, -15 = 7*l - 2*l. Let r = d - -29. Which is smaller: 90 or r?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2363?\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100 + -101?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*u - u - u + (0*u - 2*u + 3*u)*(8 - 31 - 10) as i*u + s and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 559 + 179. Calculate the remainder when f is divided by 227.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**4 - 29865272*h**3 - 55746023938084*h**2 - 445966757972640*h - 891932560257600.\nAnswer: -4*(h + 4)**2*(h + 3733155)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-2)*106\/(35616\/(-56))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 115.1301 - -0.0699. Let v = -115 + c. Let x be (-21)\/77*4\/(-6). What is the nearest to 0.3 in v, x, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + 21 - 23. What is the remainder when (t + 0)\/((-2)\/(-42)) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*v + 29*v = 212. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1574, 3148, 4722, 6296, 7870?\nAnswer: 9444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*f**2 + 3*f**2 + f**2)*(-2*f + 3*f + f) + (52 - 177 + 86)*(-2*f**3 + 3*f**3 + 2*f**3).\nAnswer: -121*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(4\/7)\/q)\/((q**(-5)\/q)\/q))**(3\/8))**26 assuming q is positive.\nAnswer: q**(2067\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-418)\/(-8))\/(199221\/(-72444))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 18*f + 32 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 + 5*a**2 + 19*a - 52. Let y be w(-23). Suppose 2*m = 5*s + 28607, -2*m - 4*s + y = -m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of -7*o**2\/2 + 2*o - 20. Let i(g) = g. Let k be (-1)\/(-2)*(3 + -1). Determine k*d(p) + 6*i(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 79202979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -7*m**3 - 170*m**2 - 204*m + 47. Is x(-62) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -270*i + 3441*i - 867*i + 1859*i to c + j*i and give j.\nAnswer: 4163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 159*v*z**4 + 1393*v + 110589*z**2 - 1493 with respect to z.\nAnswer: 636*v*z**3 + 221178*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrll. What is prob of sequence lrlr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 5*a = -23, q - a - 11 = -q. Let b(m) be the second derivative of m**3\/6 - m. What is b(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -312904.8 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = -19*p + 39. Suppose 2*k = -4*g - 7 + 11, p*k - g - 6 = 0. Solve -k*n - 2*n - 21 = -3*f, f = -4*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 546, 1221, 3 in descending order.\nAnswer: 1221, 546, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1170 - -1086.5. Let g = 122 + -38. Let r = g + q. Which is the second biggest value?  (a) -0.3  (b) -0.4  (c) r  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21622 - 14123. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 98*r - 98*r - 2*r**2. Let s(a) be the third derivative of -a**4\/12 - 9*a**3 - 480*a**2. Give s(y(q)).\nAnswer: 4*q**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -0.09485.\nAnswer: 0.01897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3*t**3 - 177*t**2 - 173*t + 63. Give y(-58).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14\/91 - (-1 - 304734\/78) and 11?\nAnswer: 42988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, 1\/7, 3\/7, 233.609?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-96*y**2 - 113*y**2 - 58*y**2)*(-21 + 14 + 11) + (2 - 2*y - 2)*(2*y - 3*y + 0*y).\nAnswer: -1066*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*v**3 + 40 - 44 - 929*v - 932*v + 353*v**2 + 1861*v.\nAnswer: -13*v**3 + 353*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1239719*a + 2902857 wrt a?\nAnswer: -1239719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 4:52 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x. Let s(j) be the third derivative of -11*j**4\/6 - 2*j**2. Calculate s(u(g)).\nAnswer: -88*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7188 is divided by 288?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -l**6\/30 - 4*l**5\/15 + l**4\/6 + 8*l**3\/3 + 11*l**2\/2 - 14*l. Let n(i) be the first derivative of d(i). Solve n(v) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 + 36*p + 332. Let a be x(-16). Solve 2*q - a + 10 = 0, 3*k - 2*q = -11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**3 - 25*n**2 - 168*n - 144 = 0. Calculate n.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - 24*l**2 + 109*l - 50. Determine b(16).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -3*g - 0*g. Suppose 0 = -4*r + 12, 0*l + 2*r = -l + g. What is the units digit of 9\/(-15) - (-43)\/l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 - 2*w**2 + 4*w**2)*(2*w - 5*w + 2*w) - 1 + 12*w**3 + 1 + 2*w**3 - 7*w**2 + 1 - 2*w**2 + 8*w**2 + 2*w.\nAnswer: 12*w**3 - w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 12707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 7*k**2 - 181*k - 3. Determine s(23).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14300 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: Calculate the common denominator of -65\/294 and -59\/1386.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -40*(-16)\/(-192)*((-21)\/(-49))\/(16\/42)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/6?  (a) 31\/13  (b) 0.1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 113  (b) 2  (c) 361065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-2))\/(2 + -3). Put -4, -1\/2, a in ascending order.\nAnswer: -4, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-2*sqrt(1911)*3)\/(sqrt(36)\/(sqrt(12) - sqrt(12)*4) + 3*sqrt(363)).\nAnswer: -45*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9207 + 36681. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 2472423?\nAnswer: -1\/824141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/450 and -19\/100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 307*d + 65 = 294*d. Let r be (-45)\/d + -2 - 9. Let c(q) = -19*q. What is c(r)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19632000 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 - 828a5?\nAnswer: -828a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2959.\nAnswer: 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96387*j**2 + 104052*j**2 - 1793*j**2.\nAnswer: 198646*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -724, 53, -4, -1, 1, 15, -3 in descending order.\nAnswer: 53, 15, 1, -1, -3, -4, -724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 5*g**3 + 10*g**2 + 9*g + 15. What is m(-6)?\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (16\/(-56)*(-1708)\/32)\/((-7)\/(-28)). Solve 5*q + 25 = -5*s, z*s - 4*q = 64*s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2018762657 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4092 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0)*(1 - 1 + 1)*(2 + 3 - 2)*(-2*k + 3*k - 2*k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 + 15*y - 28. Let n be a(9). Let q be (380 - (2 - 1)) + -3 - 3. Suppose -251 = -3*f + q. What is the greatest common factor of f and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-3) + 2\/(-24). Suppose -5*u = -5*k, -225*k = -u - 221*k + 6. Put l, 0.2, 1\/7, u in descending order.\nAnswer: l, 0.2, 1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*l - l - l + (-1 + 1 - 3*l)*(11 - 6 + 4) + (0*l - l - 4*l)*(5 - 3 + 0) - l - 3*l + 3*l + (0*l - 2*l + 0*l)*(-4 + 4 - 1).\nAnswer: -34*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, h: 1, r: 1, b: 2}. Give prob of picking 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -220, -176, -128, -76, -20, 40?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 + 0.2. Let a be (-1338)\/(-96) - 14 - (-6)\/96. What is the nearest to a in k, -3, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2170 = -3*t - 2*p, 0*t - 2*p = 2*t - 1450. Let x = -510 + t. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9786 and 14.\nAnswer: 9786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18687360053.6839788 - 18610500393.684. Let g = m - 76859644. Let l = g - 16. What is l rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nyuyncwwwmuy. Give prob of picking 1 m, 2 w, and 1 c.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189)*-1)\/((sqrt(14)*-2)\/sqrt(2)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.89 + 0.09. Let t = -1.857 - x. Let z = t - -0.05774. Round z to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 58*z**3 - 1751*z**2 - 146*z + 1707. Let g(t) = 13*t**3 - 350*t**2 - 29*t + 342. Let c(l) = 11*g(l) - 2*v(l). Find y such that c(y) = 0.\nAnswer: -1, 1, 116\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + u + 3*u**2)*(4*u + u - 3*u) - 3*u**3 - u**3 + 6*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**3\/3 + 8*v**2 + 9*v + 197. What is the remainder when 382 is divided by o(13)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 34\/10 + (-6)\/15. Suppose -3*b + 17 = 5*o, o - 3*b - 19 = -y*o. Suppose 3*u + 409 = 5*l, o*l - 340 = -u - 3*u. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -574470 by 13.\nAnswer: -44190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -t - 100, -4*t - 3*v = 188 + 207. Let b = 97 + t. Differentiate -25*j**4 - b + 4 - 37 wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 494 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = -2*g - 20, 22*a + 3 = 19*a for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 174.41 to the nearest integer.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12448 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68 = -6*g + 146 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 65935925 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 4 - -3) + -8 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 2*x - 61. Let s be j(-7). Solve 16*n - 18 = -s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6055453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*f**3 + f**3 - 3*f**3 + 6*f - 6*f**3 + 6*f**2 + 8*f**3 to a*f**2 + v + y*f**3 + n*f and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y - 7. Suppose -14*g - 294 = -0*g. Let k be 4*3\/g*7. Let z(r) = 2*r - 6. Determine k*s(d) + 5*z(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/167 - 189\/1837. Let i(j) = 38*j + j**3 - 20*j - 2*j**3 - 16*j + 9 - 4*j**2. Let z be i(-4). Is v at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1938 by -31541.\nAnswer: -1938\/31541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -0*k - 5*c - 52, -2*c + 24 = 4*k. Let l = k + -8. Suppose 0 = 4*z - l*z + 20. Round z to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -190*y - 955*y - 448*y + 22302 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -955*w**2 - 6706*w + 59. Give t(-7).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of 0*z - 3\/2*z**2 + 1 + 3\/2*z**3. What is x in m(x) = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 11:13 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 1204*p. Let o(s) = 238*s**2. Give o(q(r)).\nAnswer: 345008608*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 288078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 66 = -1. Does 5 divide 12\/6 + 0\/1 - i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (378\/4)\/(-9) + (-183)\/(-61).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/1*(-1 - 2). Let j(n) = 8*n**2 - 1 - 5*n**2 - 11*n**2 + 6*n**2. Let q(z) = -10*z**2 - 3*z - 9. Let s(y) = -6*j(y) + q(y). What is s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 7 - 10 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 34 (base 5) to base 11\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-1)\/((f*f\/f**(1\/3)*f)\/f*f)*f**(7\/3)\/(f\/(((f**(7\/3)*f)\/f)\/f*f)) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 8 = 5*j + 4*s, -5*j + 12 = 3*s. Find the third derivative of -8*h**2 + j*h**6 - 5*h**6 - 4*h**6 + 0*h**6 wrt h.\nAnswer: -720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7\/15 - -2\/15. Let q = -0.9 + 1. Let b = q + 2.9. What is the closest to -1\/2 in b, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5096137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-16 - (-19 + 12 - 13))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13697, -27404, -41119, -54842?\nAnswer: -68573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 7:47 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109963.\nAnswer: 7, 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (-3 + 3) - (1 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*j - 0. Let t(n) = 9*n**2 + 7*n - 4. Let v = 13 + -14. Let k(c) = c**2 + c - 1. Let z(l) = v*t(l) + 5*k(l). What is z(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7 and 24568243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -633*o**2 + 326*o?\nAnswer: -1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 391, 428, 465, 502, 539?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 121 divided by -65.\nAnswer: -121\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - 1 - 207\/(-161). Suppose -p = -3*x + 16, -2*p = p + 5*x - 8. Let l be (6\/p)\/((-12)\/(-16)). Which is bigger: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6a048 + 1?\nAnswer: 6a049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 34*l. Let p be b(2). Suppose 0 = -4*x + z + p, 24 = -0*x + 2*x + 2*z. Are -1 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1960*a**5*v - 3*a**4*v - a*v + 357*a - 3*v + 1 wrt a.\nAnswer: 39200*a**3*v - 36*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173670085.\nAnswer: 5, 193, 179969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - -284c?\nAnswer: 284c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5480716 * 0.2.\nAnswer: -1096143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16 - 1587\/(-115))*(5 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21456650?\nAnswer: 2, 5, 31, 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 f, and 1 j when three letters picked without replacement from fbbbfffbbjjf?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 5*u - d + 6, 2*u - 2 = 4*d. Let r = 25 - 27. Let q = -1 - r. Sort 4, u, q.\nAnswer: u, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**3\/3 + 76*a**2 - 22744*a\/3 - 47936.\nAnswer: 4*(a - 56)*(a + 6)*(a + 107)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2121155878 - 5015.\nAnswer: -2121160893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1968351084.\nAnswer: 2, 3, 7, 2603639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 457, 454, 449, 442, 433?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 0*r**3 - 2*r**3 + 3*r**3 + 7*r**2 + 6*r - 2. Let d be m(-6). What is the units digit of 0 + d*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-1 + 5 - 6) - 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rjjr when four letters picked without replacement from {j: 11, r: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -5*w - 6. Let n = -9 - -3. Let o be d(n). Suppose 0 = 6*y - 2*y - o. What is the lowest common multiple of y and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 1650 = -2*z - 10*g, 5*z = -2*g + 4109. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15 - -6) + 4 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*o + 0*o + 2*o)*(2 - 3 + 0) - 3*o + o - o - 5*o + 5*o - o)*(-18 + 18 + 5*o) + 0 + 6*o**2 + 1 + 0.\nAnswer: -9*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 392 and 833?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -3*c + 21. Suppose c = 5*b + 10. Suppose -7 = -2*h + b*r, -h - 3*r + 4*r + 2 = 0. What is the lowest common multiple of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(44) + -1 - (2 + sqrt(1331))) + 4 + sqrt(11) + sqrt(11)*-1 + sqrt(121)\/(sqrt(11) - sqrt(11)*4))**2.\nAnswer: -112*sqrt(11)\/3 + 8660\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56 and 422744.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bfzbn. Give prob of sequence bz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 7 + 14*o - 2*o - 7*o - 7*o. Let n(m) = 13*m. Determine j(n(p)).\nAnswer: -26*p + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-4))\/((o**(2\/21)*o*o)\/o))\/(((o\/((o**2\/o)\/o))\/o)\/o)**(9\/5) assuming o is positive.\nAnswer: o**(-241\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4\/(-1*(-2)\/72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 9*l**2 - 14*l - 1. Let u be t(-7). Find the common denominator of -17\/15 and u\/(-2 - -13)*24.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of b**6\/8 - 3*b**5\/20 - 3*b**4\/8 + b**3\/2 + 3*b**2\/8 - 3*b\/4 - 7. Factor i(w).\nAnswer: 3*(w - 1)**3*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1376, -1371, -1366, -1361, -1356?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 176751 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*a - 42*a - 52*a - 179 + 142*a.\nAnswer: a - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -5*o**3 + 4*o**2 - 7*o + 1. Let i be g(1). Sort -15, -4, i, 4.\nAnswer: -15, i, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 3*t**3 + 2*t**2 + t + 5. Let c be k(-2). Sort 1\/9, 5, c, 2\/9 in increasing order.\nAnswer: c, 1\/9, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -513115 divided by 5?\nAnswer: -102623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(3300))\/((sqrt(55) + sqrt(220))\/sqrt(5)))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1019 - -521. Let r(n) = -n**2 + 4*n + 2. Let g be r(5). What is the common denominator of 51\/16 and g + (-3 - (t\/64 + -1))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 2:29 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 2*q = 5*z, q + 1 = 3*z. Let l(c) = c**2 - 3*c - 1. Let t be l(4). Find the second derivative of -2*i + 2*i**q + t*i + i wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -111*y + 86*y + 450 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -35957, -71925, -107883, -143825, -179745?\n\"Answer: o**3 - o**2 - 35972*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/((u**(-3\/13)*u)\/u))**(2\/9)\/(u**18\/(((u\/(u*u**(-2\/105)))\/u)\/u)) assuming u is positive.\nAnswer: u**(-80702\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 140 divided by 1?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - i**4 - 1)*(-28*i + 11*i + 33*i).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -122, -122, -130, -152, -194, -262, -362?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 2*l + 4. Suppose 88 = 5*g - 6*v + 2*v, -3*v = g - 10. What is the lowest common multiple of l and g*-1*1\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 3*x + 271717 = 271236, 974 = 10*w - 2*x for w.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*p**2 - 1002 + 1904 - 902.\nAnswer: 111*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, 3, -1\/11, -1\/21, 37, -0.3 in increasing order.\nAnswer: -0.3, -1\/11, -1\/21, 3, 23, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1251, -2131, -2975, -3783, -4555, -5291, -5991?\n\"Answer: 18*p**2 - 934*p - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 + 6*r + 9. Let s be t(7). Suppose w = -v + 6*w - 3, -s*v - 6 = -w. What are the prime factors of -15*(0\/(-4) + v)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/(-6*sqrt(9)*3)*-4*-4.\nAnswer: -8*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -12, -17, -24, -33, -44?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (24\/(-15))\/4 - (-2)\/5. Let q(w) = -7*w + 10. Let a be q(d). Solve -5 = -5*g + a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-30)\/(-3)*12\/10. Let t be -2 - w\/(-3)*-1. Let h be ((-12)\/(-2))\/((-9)\/t). Solve -20 = -h*u + q, -5*u + 40 = -7*q + 2*q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5239.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (3 + -15 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105670 is divided by 21130?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of d**5\/20 - d**4\/4 - d**3\/3 + 3*d**2\/2 - 84*d. Determine p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4266, -4987, -5710, -6435, -7162?\nAnswer: -7891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 3, -5.971, -0.135?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 - 5 - (-2 - 4). Suppose r - 3*c - y = -0, 3*r - 2*c = -8. Sort 0, -5, r in descending order.\nAnswer: 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -128, -0.4, -5, -31.49, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 425*f - 199891. What is z(471)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -4*l + 36. Let u = 18 - l. Let v(c) = -c. What is v(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -7*y - 13. Let z be o(-3). Solve -r - z = 2*t - 3, -2*r - 3*t - 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46 + 0.31.\nAnswer: 46.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*92.9801.\nAnswer: 371.9204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w - 6*w + 14859087 - 14859078 - w.\nAnswer: -5*w + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 2*r**2 - r + 95. Is 5 a factor of s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 251 - 87. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 22 + 17 = -3*s, 0 = 3*s - 2*u + 30. Calculate the common denominator of 2\/s + (-157)\/(-28) and ((-8)\/(-28))\/((-24)\/(-1582)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 496081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of 37*i**3 - 75*i**2\/2 - 31. Find the second derivative of m(l) wrt l.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 times -129694\nAnswer: -1815716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 24\/28*14\/4. Suppose 4*o = 3*n + 19, 2*n + r*n - 4*o = -21. Let m(j) = -20*j**3 + j**2 + 3*j + 2. What is the units digit of m(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14042*f**2 + 23*f - 60*f + 35*f + 4.\nAnswer: 14042*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*z**3 - 6*z**3 + 2*z**3)*(-9*z**2 + 4*z**2 - 7*z**2 + (-1 + z + 1)*(-2*z + 2*z + 2*z)).\nAnswer: 260*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6370*f*h**3 + 275*f*h + 4*h**2 + 3*h wrt h.\nAnswer: 38220*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -1. Let h = x - -4. Let v = 3 - h. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2*2)\/(88\/374). Suppose 2*w - 4*w = k - 14, -5*w = -3*k - 13. Solve -w*t + s = -3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 153*c + 1685. Give f(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -4*j**3 - 4*j**2 + 4*j - 1. Let w(i) = 5*i**3 + 3*i**2 - 3*i + 1. Determine 3*c(g) + 4*w(g).\nAnswer: 8*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 150*j - 139*j - 22. Solve 0 = j*s - 4*f - 24, 5*s + 6*f - f = -15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 630 = -66*a + a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3 or 69881524?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2b1fe6 (base 16) to base 12\nAnswer: b4365a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -168, 6, 2, -0.1 in descending order.\nAnswer: 6, 2, -0.1, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1879.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + 1135660162397.\nAnswer: 1135660162397.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19*b**2*v**2 - 15093*b**2*v - 21*b*v**2 - 20*b*v - 3*b - 473*v**2 + v - 3 wrt b.\nAnswer: 38*v**2 - 30186*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 627060432 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -36.07677506 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 115169?\nAnswer: 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -397 - -397.2. What is the third biggest value in 3\/4, -589, y?\nAnswer: -589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + l = -2*l. Let u(n) = -n**3 + 4. What is u(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1074\/(-1611)*(18\/4)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v**2 - v + 3. Calculate the remainder when n(4) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66\/9*9\/2 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/3*(-7 - -1). Let b(a) = -a**2 - 2*a + 2. Let h(o) = 2*o**2 + 4*o - 3. Let f(q) = -5*b(q) - 2*h(q). Give f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2035252902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -8\/13747  (b) 2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 123274 take away 1.83?\nAnswer: 123272.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -17. Suppose z + 4*z - 15 = -d, 3*d - 5 = g*z. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1*2\/9)\/((-1)\/(-3))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-1*sqrt(539) + 3 + sqrt(539)*1)**2.\nAnswer: 252*sqrt(11) + 19413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 117, 416, 701, 966, 1205, 1412?\n\"Answer: -l**3 - l**2 + 309*l - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 107.6338?\nAnswer: 215.2676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + i - 18 = -3*v, 0 = -3*i - v - 7. Is 15*29\/i*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -r + 10. Suppose -58 = -r*g - 5*w, -g - 5*w + 2*w + 31 = 0. What is the remainder when g is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**5\/15 + 85646*t**4\/3 - 3425344*t**3\/5 - 71933872*t**2\/15 - 150719584*t\/15 - 6850912 = 0.\nAnswer: -2, 30, 214091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*j + 23 = -7*j. Let h(p) = 1 + 2 - 2 + p. Let c(u) = 2*u**2 + 5*u + 6. Calculate j*c(n) - 5*h(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29, -44, -59, -74?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 265000*g - 2650000. What is h(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 172*r + 52*r + 185*r + 261*r - 153*r.\nAnswer: 517*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 62*g**3 + 3*g**2 - 3*g. Let m(q) = 186*q**3 + 8*q**2 - 8*q. What is -8*c(z) + 3*m(z)?\nAnswer: 62*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12746871461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 4*x - 24. Calculate the remainder when -1*118\/((-2)\/1) is divided by a(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**2 + 2*o - 2*o + (2 - 1 - 2)*(2*o**2 + 0*o**2 - o**2) + o - o - 2*o**2 + (-15 + 15 + 5*o)*(2*o - 4*o + o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 84 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 - 11*b - 16. Let l = 70 + -79. Let g be v(l). Solve 14 = g*o + 5*d, 4*d = 4*o + o + 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 859863 divided by 3.\nAnswer: 286621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -27312905*s - 52905206 wrt s?\nAnswer: -27312905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 680, 1803, 3672, 6287?\nAnswer: 9648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 308 divided by 2\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and 608 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -32871179*i**3 - 11*i**2 + 1445524?\nAnswer: -197227074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*l - 57*l - 10 + 6 + 10.\nAnswer: -74*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 9:56 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/4310 and 145\/54306?\nAnswer: 271530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*i + 120 = 25*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -19*x - 1. Calculate o(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of c**7\/1680 + c**6\/24 + 5*c**5\/4 + 125*c**4\/6 - c**3\/3 + 3*c**2\/2 + 22. Let j(t) be the third derivative of h(t). Factor j(v).\nAnswer: (v + 10)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 528481 - 254536. Suppose -o = 15*r - 36*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53018827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1978 divided by -2\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((1 + sqrt(539))*-1 + (1 + sqrt(539))*4 + (sqrt(539) - -3*(-1 + sqrt(539) - sqrt(539)) - sqrt(539) - (-3 + -2*sqrt(539))))**2*5.\nAnswer: 1050*sqrt(11) + 67424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 AM and 2:51 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*r + 13. What is the remainder when 50 is divided by (43\/(-129))\/((-2)\/78 - r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -0.003, -1\/2, -5 in ascending order.\nAnswer: -5, -1\/2, -1\/3, -0.003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/5, 0.174, 2\/87, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2329 and 68?\nAnswer: 9316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -221*k**3 - k**2 + 8*k - 7. Give f(1).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 29 - 8*s**2 - 8*s**3 - 7*s**3 + 10*s**2 + 17*s**3 in the form w*s**2 + p*s + z*s**3 + k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pygcnhp. What is prob of sequence ycgn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -153188*h**3 - 2*h**5 + 674040*h**2 - 336200*h + 56950*h**3 - 165794*h**3 - 77450*h**3 + 1644*h**4 = 0. Calculate h.\nAnswer: 0, 1, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiiiiiii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)\/(6*sqrt(27)\/sqrt(3)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 231015 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15641.9 + -15641.6599965. Let r = 0.24 - x. Round r to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/14 - 5959\/707. Let x(s) = -s**3 - 7*s**2 + 3*s - 44. Give x(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 85*x - 84. Is r(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -8. Let o = 40033\/2582 - 6\/1291. Calculate the common denominator of o and g\/16*182\/105.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s - 121 = -97 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1751604*f**4 + 3*f + 104771 wrt f?\nAnswer: -21019248*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-1) - (4 + -5). Suppose -3*k - 9 = 0, -2*i = -3*i - o*k + 17. Suppose -i = 4*h - 93. Solve -h = -5*v - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 15 = 5*t, t = 4*r + 5 - 2. Let h = 2 - 9. What is the biggest value in h, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2410669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 1 + 5)*(-6 + 3 + 0)*(13*j - 1 - 14*j - 1).\nAnswer: -3*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 1:39 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 28 and 152.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -137 - 3?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.67 - -0.33. What is the closest to l in 5, -1\/4, -2\/17, 7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 5*z**2 + 6*z + 3. Let d be p(6). Let m = -2 + d. Suppose 2*n + 10 = 2*v, 22 - 25 = n. Solve -v*k - 4*w = 20, 14 + m = 3*k - 3*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 12*v**2 - v - 11. Let x be u(-12). Let c be -1646*1 + -3 - (0 + x). What is c rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -12444, -24915, -37388, -49863, -62340, -74819?\n\"Answer: -n**2 - 12468*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y**2 - y**2 + y**2)*(-388*y + 1067*y + 238*y).\nAnswer: 3668*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.456 * 0.16735.\nAnswer: 1.0804116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -1475*v**3 - 4*v**2. Let y(h) = 542799*h**3 + 1471*h**2. Calculate -1471*c(q) - 4*y(q).\nAnswer: -1471*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 732047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + -3 + 21\/(-7). Let d(p) = -p**3 + 10*p - 17. What is the units digit of d(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 6:49 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-1\/4)*w**2*w**0\/(w**8*w))\/(w**(-7)*w*w**(-2\/7)*(w**(-2))**(-2\/7)) assuming w is positive.\nAnswer: w**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -52\/411?\nAnswer: -52\/411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -24*x**3 + 16*x**2. Let a(o) = -o**3 + o**2. Let v(n) = -20*a(n) + q(n). What is the third derivative of v(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 226 + -227. Sort -3, 28, v.\nAnswer: -3, v, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67785606 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1642752 divided by -4416\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Does 172 divide 6400896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of 19*g**4\/24 - 193*g**3\/6 - g**2 + 59. Let d be p(10). Suppose 15 = 5*y, -2*z - 2*y + 10 = -3*z. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + (-2)\/(3 + -2). Suppose k*a - 4 = -a. What are the prime factors of ((-5 - 166) + a)\/(-1)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 25*n**2*w**3 + 2*n**2*w**2 + 23*n**2*w + 14*n**2 + n*w**3 + 5845*w**2 - 13*w - 3 wrt n.\nAnswer: 50*w**3 + 4*w**2 + 46*w + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3*h = -162, -4*h = 3*a - 2*h - 82. Suppose -9*d = -3*d - a. Solve d + 7 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t**3 - 7810*t**2 + 206575*t + 214380 = 0 for t.\nAnswer: -1588, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12741)\/(-822) + 2*-6.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -167993?\nAnswer: 167995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2811682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 - 34413*s - 687858. Calculate w(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4235990066.\nAnswer: 2, 7, 11, 37, 89, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of -k**6\/360 - 19*k**4\/24 - 79*k**2. Let g(t) be the second derivative of c(t). Let z(y) = 86*y. Give g(z(u)).\nAnswer: -172*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 299, 1815, 4445, 8189, 13047, 19019?\nAnswer: 26105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 5) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 223601384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*c = 21*c - 2, -4*c - 94 = -2*h. What is the lowest common multiple of h and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2*r**2. Let b(d) = 9*d**2 + 42860639*d. Give b(x(s)).\nAnswer: 36*s**4 - 85721278*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10653?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*o**2*t**2 + 23836*o**2 - 3*o*t**2 + 2835*t**2 + 23*t wrt o?\nAnswer: 16*t**2 + 47672","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Expand (1249*b - 22058*b - 15404*b - 41625*b + 3627*b - 12233*b)*(-2*b + b + 2*b).\nAnswer: -86444*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 442*n + 23 + 606*n.\nAnswer: 164*n + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 8 + 17 = 0. Suppose -c*a + a = -40. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3*v**2 - 10*v - 9. Give m(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25 + 21 - 32)*(-2*f**3 + 2*f**3 + f**3)*(-2 - 1 + 0).\nAnswer: 108*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-18)\/(-60)*3516\/(-9)*(-5620)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-26)\/(-12) - 67\/402 - 1\/1. Let s(g) = -g - 1. Let q(z) = -8*z - 3. Determine t*q(r) - 6*s(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(-5 + -3*(-3)\/(-9)). Let j be ((-1)\/(-7))\/(32\/112)*n. Solve 2*v = j*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6035972ug in kilograms?\nAnswer: 0.0000000006035972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 242936846 to the power of 1\/2, to the nearest integer?\nAnswer: 15586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 0 = 6. Suppose w + 27 = -p. Let u = w - -34. Solve -2*y - u*d = -2*d + 6, -d = 4*y + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 355 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65\/35 + (-8)\/(-56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23857 = 2*s + k - 12660, 5*s + 2*k = 91289. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -163345 - -98345. What is w rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (8 - (-13 + 81) - -9)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -298 + 308. Suppose 87*f - 77*f - t = 0. What is the remainder when 1 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lpql when four letters picked without replacement from {q: 3, l: 7, p: 3}.\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 48  (c) -0.045  (d) -0.01  (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 7*o - 5. Put 6, o, 5 in descending order.\nAnswer: 6, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31350 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.1 > 29\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -9*j**2 - 612*j - 95. Determine y(-68).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**3\/2 - 1383*f**2\/2 - 138168*f - 7505190 = 0. Calculate f.\nAnswer: -1155, -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 + -3961?\nAnswer: -3960.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 14*k**3 - 279*k**2 + 37*k - 36. Determine l(20).\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**2 - 22156*p + 988920.\nAnswer: 4*(p - 5494)*(p - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -5*w**3 + 6*w**2 - 6*w. Let p be a(4). Let c = p - -499. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -201*q - 5 + 6 + 202*q + 8. Determine y(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1301*c - 643*c - 654*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/4, 0.3, 0.6, 2.\nAnswer: 0.3, 0.6, 2, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.35 - 0.05. Let v = 7.5 + 13. Let d = v + -21. Which is the closest to -1?  (a) f  (b) d  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3285864 and 4136?\nAnswer: 36144504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 77046216 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 - 20*g - 24. Let m be p(-18). Calculate the highest common divisor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g + 2*g + 3*g**2)*(-165*g**2 - 449 + 449) as j + h*g**2 + r*g + u*g**3 + d*g**4 and give d.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 365750, 366141, 366796, 367715, 368898?\n\"Answer: 132*m**2 - 5*m + 365623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 + 64. Calculate the smallest common multiple of d and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -138329 - -138328.9999815346. Round c to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/50*10\/4)\/((-278)\/(-10008)).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3124529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 18  (b) -2\/27  (c) -253  (d) -3\/2  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 502 - 1467 + 479 + 486 - 5*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/380 and -9\/5772884.\nAnswer: 28864420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 6*x + 25. Let l(p) = 360*p**3 + p**2 + 4*p - 5. Let f be l(x). Round f to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of -1\/3*g**3 + 2 + 0*g**2 + 0*g. Let r(f) = 10*f - 7*f - 3*f - 3*f. Determine r(c(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, l: 5, v: 7}. Give prob of picking 1 i and 1 v.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 124 - 118. Let y be ((-4)\/s)\/(8\/(-252)). Suppose -5*u - 163 = -2*r, 321 - 64 = 3*r + 5*u. Calculate the highest common divisor of r and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -3*z - 87. Let l = 13 - z. Suppose l*w - 9 = 29*w. Solve d + w*d + 32 = 3*c, 5*c = -d + 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10042414044 - -2?\nAnswer: 10042414101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 5*d + 18, 4*y = -10*d + 5*d + 16. Let h(c) = -259*c**3 + 3*c**2 + 3*c + 1. What are the prime factors of h(y)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2526?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g = -8*g + 2*t + 2, -t = 5*g + 7. Which is smaller: -29\/41 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 3*p + 6, 5*n + 2*p = -1 + 5. Suppose -13 = 3*b + 4*s, b + 2*s + 7 = -n*s. Is b smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -204226, -204308, -204390, -204472, -204554?\nAnswer: -204636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*b - 3*b - b + (0*b + 2*b + 2*b)*(2 - 3 + 2) + 5*b - 6*b + 3 + 7 in the form d*b + r and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 6*n - n + 3*u, 4*n + 8 = -u. Let y be 0 + n\/10*2. Let k = 0.506 - 0.006. What is the nearest to 2 in -2\/9, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*v, -3*o - 37 = -5*v - 22 - 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - ((0 - 16 - (219 + -215)) + 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - u + 29 = 3*p, -4*p + 32 = 5*u. Let c = 3 - -6. Find the second derivative of 0*n**4 - 10*n**4 + 11*n**u - c*n wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 20 = -0*v - 3*v + 44, -4*v = -13*a + 23 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 - -28. Let i be (-4)\/(0 + 2\/(-22)). Calculate the greatest common divisor of m and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 29\/2 of a microsecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*q**2 + 6*q**2 + 4*q**2)*(q - q + q**2)*((-7*q + 4*q + 0*q)*(4 + 0 - 2) - q + 2 - 2 + 0*q + 2*q + 0*q + q - 2*q + 3*q + 3 + q - 3).\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -3\/5  (b) 0.1  (c) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 2)*(-5*c + 0*c + 3*c) + 4*c - 4*c + c + (2 - 2 - 1)*(4*c - 5*c - c) + 13*c + c - 6*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 3\/98, -7, -1\/10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -53a8bf - -8?\nAnswer: -53a8b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times 0.5849\nAnswer: -0.11698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/(-98))\/(6\/21)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5942819203?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (9\/25)\/((-45390)\/3026000)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 + 9*v + 11. Let l be r(-8). Let o = -4 + l. Which is the closest to 1?  (a) 1  (b) o  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -82.5 - -83. What is the nearest to 0.1 in 2, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*l + l - 108*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -37728900 to the nearest one hundred thousand.\nAnswer: -37700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 5*c = -184 - 164, -196 = -k + 3*c. Calculate the least common multiple of k and 80.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19186*g + 1880*g - 2609*g + 19184*g.\nAnswer: 37641*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/19, -4\/7, 1\/6, 0.8?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 - (-3)\/(24\/88)) + -20?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2231, 4192, 6095, 7910, 9607, 11156, 12527, 13690?\nAnswer: 14615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of -s**6\/2340 - s**5\/780 - s**3 - 11*s. Let w(u) be the second derivative of x(u). Factor w(f).\nAnswer: -2*f*(f + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18445847 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - -13. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*h**2*t**3 - 66*h**2 - 4*h*t**3 - 19559*h*t**2 - 269*t**3 wrt t?\nAnswer: 90*h**2 - 24*h - 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 1063836.\nAnswer: 1063836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8648 and 564.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 17948 divided by 2564?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*r = -11*r + o - 1, 6*r - 3*o + 18 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -59 - -69. Suppose -66 = -3*z + 4*i + x, -2*i = 3*z - 88. Let r(d) = 2*d**2 - 8*d - 9. Calculate the remainder when r(8) is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(440) + sqrt(440)*4)*-3)\/(-3*sqrt(1440) - sqrt(1440))*-2)**2.\nAnswer: 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 7:27 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/5383 + -10911323\/48447. Let n = o - -225. Let j = 1.8 + 0.2. Which is the closest to j?  (a) 2\/5  (b) n  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.8 + 63.5299.\nAnswer: 62.7299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 341327 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 770*u + 522*u - 1812*u + 518*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddddzzdzzzdzdzdzdzd. What is prob of picking 1 d and 2 z?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1629182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 + 6*c**2 - 9*c + 4. Let u be s(2). Solve 4 = -w + u*g, -3*w + 4*g - 2 = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 10517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11730797*t**3 + 6045219*t**3 - 3809615*t**3.\nAnswer: 13966401*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of 39\/10*k**5 + 0*k**4 + 0 + 13*k**2 + 186*k - 1\/3*k**3. Differentiate x(o) with respect to o.\nAnswer: 234*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -0.2, -0.028?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -2*q**3 - 9*q**2 + 61*q + 42. Let j be w(-8). Let 0 - 13\/2*p - 1\/4*p**j = 0. What is p?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 8220 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**13)**(-21)\/(g**(-10\/7)*g**(-1\/24)) assuming g is positive.\nAnswer: g**(-45617\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 19*t**2 - 51*t - 177. Determine b(-17).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 46674*b. Let m(n) = -70*n. What is h(m(l))?\nAnswer: -3267180*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, w: 6}. What is prob of picking 2 w?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 110854103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of -3709*j**7\/42 + 1513*j**3\/6 + j**2 + 251*j - 4. What is the second derivative of m(c) wrt c?\nAnswer: -74180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 251773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-84)\/(-15)*1130\/3164. Let -188*j**3 + 1344*j + 16\/3*j**4 + 4748\/3*j**c - 432 = 0. Calculate j.\nAnswer: -1, 1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 1032229.\nAnswer: 1032230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*k**3 + 159*k**3 + 106*k**3 - 32*k**3 + 109*k**3 + 70*k**3.\nAnswer: 399*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 111 + -115. Let d(c) = -3*c + 29. Let t be d(-9). Let x = 612\/11 - t. What is the second biggest value in x, a, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of -9*h**7\/70 - 31*h**5\/60 - 29*h**2. Find the third derivative of t(n) wrt n.\nAnswer: -648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.9097475 plus -0.312?\nAnswer: -2.2217475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1288 and 4048.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 4*j - 67. Let o(u) = 5*u - 107. Let k(g) = 5*o(g) - 8*t(g). Let a(p) = p**2 - 6*p - 6. Let n be a(6). Let s(r) = -8*r + 1. Calculate n*s(i) + 7*k(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -35 + 41. Suppose 5*g = -q + 11. Solve 4*s - 10 = 3*a, -3*s + 2*a - g = 4*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + 6*c**2 + 5. Let b be a(-6). Let j(k) be the third derivative of k**5\/60 - k**3\/6 - 57*k**2. Let x(m) = 3*m**2 - m - 2. Give b*j(g) - 2*x(g).\nAnswer: -g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of -u**2 + 2. Let c = 6 + -4. Let p(d) = 5*d**2 - 2*d**2 + 4*d**2 - 6*d**c. Determine p(i(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.33 and 2.2?\nAnswer: 0.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 76357 - -171803. Round c to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 6*a**2 + 24*a. Let m(n) = -3*n - 83. Calculate s(m(z)).\nAnswer: 54*z**2 + 2916*z + 39342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4544 + -4530. Solve 3*g + 4*w = 19, -c*g + 9*g = -3*w - 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 162991 = t, -t - 3*x = -5*x - 163006. What is t rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -29*(-63)\/6 + 24\/(-48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 164 and -0.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3306.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12*(-1)\/8)\/(1\/2). Suppose o*u + 17 = 4*m, 4*u = 2*u - 4*m + 22. Calculate the greatest common divisor of 10 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15 by 13.\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 + 9*x - 4. Calculate the remainder when 29 is divided by a(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 + -22.9. Let y = t - -1. Let k = -0.1072 + y. Round k to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 0 + 4 - 5 - 3*q - q. Is c(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*x + 12 = 0. Let p be ((0 + -1)*-10)\/2. Solve x + 12 = p*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1506 + -2752. Let n = j + 3136. Let y be (-20000)\/(((-33)\/n)\/11). Round y to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/5050530 and -37\/306.\nAnswer: 5050530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y**3 + 4*y - 2*y**3 - 4*y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 PM and 7:06 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 6*p**2 + 7*p - 3*p + 8 - 7*p**2. Suppose -9 = -m - 4. Let u be s(m). Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 44, 85, 128, 173, 220?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, j: 1, g: 1, r: 1, b: 1}. Give prob of picking 1 r and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*v - 0*v. Let h(j) = j**2 + v*j**2 - 9*j**2 + 2*j**2. Let f(p) = 30*p**2. Calculate f(h(i)).\nAnswer: 120*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t + 15, 3*g + 2*t - 14 + 24 = -2*t - 30 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnnm when four letters picked without replacement from {n: 6, m: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1074 (base 16) to base 10\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*t**5 + 14*t + t + 7*t**5 + 6*t wrt t.\nAnswer: 300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 423.2533 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -0.73\nAnswer: -2.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (1 - (-2 - -2)) - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/8 + 2\/4. Let u be 39\/(s + 2) - 1. Suppose 5*f + 3*g - 143 = 0, -4*g + 96 = 4*f - u. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -5*d**5 + 410*d**4 - 5100*d**3 + 23770*d**2 - 44575*d + 25500 = 0.\nAnswer: 1, 3, 5, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 32*s + 531 = 22*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5082 = -96*u - 966. Is -55 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1471 + -1467. Solve -3*m - 4*a = 18, w*m - 3*a + 0 = 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = 5*q + 4*o, 2*o + 29 = -3*q + 63 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 19 (base 12) to base 8\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**2\/9 + 59740*d\/9 - 1850018\/9 = 0 for d.\nAnswer: 31, 29839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 100210001000111 (base 3) to base 9\nAnswer: 10701014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -993, -80, -0.4, 1\/4 in descending order.\nAnswer: 1\/4, -0.4, -80, -993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h + 4*d + 75, 5*h - 489*d + 65 = -491*d for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 146371223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b + 67. Give c(28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 4*h = -0*r + 8, -4*r + h = -2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -2\/9*d**3 + 1852\/9*d - 358\/9*d**2 + 736\/3 = 0.\nAnswer: -184, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25189*c**3 - 50376*c**3 + 25182*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -3*z, 4*z - d + 2*d = -13. Let j = 141 - 134. Sort j, -3, z in ascending order.\nAnswer: z, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 + 6*h**2 + 4*h - 2. Suppose -8*f - 2*f = 50. Let u be m(f). Which is the smallest value?  (a) 4  (b) u  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**16*n*n\/n**(-1\/2)*n assuming n is positive.\nAnswer: n**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 8 = -7*i - d, 3*d = -3*i - 12. Let t be (3 - 116\/20)\/((-6)\/(-15)). Let m = 15 - 18. Sort m, i, t.\nAnswer: t, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -929, 21, 0 in increasing order.\nAnswer: -929, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106 = 6*g - 116. Suppose 39*k - 6 = g*k. Put -3, -24, k in descending order.\nAnswer: k, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + 12*n**2 - 21*n - 49. Let o be u(-14). Is 7\/(o\/(-12)) - 29570\/(-70) a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2213, 3249, 4285, 5321, 6357?\n\"Answer: 1036*s + 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 0 - 20*w + 22*w - 2*w**4 + 2*w - 2*w**4 - 2*w + (-w + w - 2*w)*(2*w**3 + w**2 - w**2).\nAnswer: -8*w**4 + 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1186\/7 - -170. Sort -1, f, -3, 2\/5 in decreasing order.\nAnswer: f, 2\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eniyiiyeyniiidievv. Give prob of sequence dv.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1273*j - 63 = 1270*j + 5*q + 17, 12 = -3*q for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) -1\/4  (c) 3\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -82 - -82.1. Let i = -123\/295 + 1\/59. Let o = 9 + -61\/7. Which is the second smallest value?  (a) o  (b) h  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/14 - (-3)\/14. Let z = -4.842 + -0.058. Let v = z - -1.9. What is the closest to l in v, 0.3, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.75 * -12185.\nAnswer: 45693.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of -k**5\/60 + k**4\/6 + 5*k**3\/6 - 248*k**2. Calculate p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1649\/3854  (b) 1  (c) 0  (d) -1\/2  (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 816?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**2 - 1046*g - 12982. Give q(-12).\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -227*v**5 + 6*v + 226*v**5 - 2*v wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**3 + 65*f**2 - 42*f + 87. Does 39 divide l(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13576052 by -71.\nAnswer: -191212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -8. Let m = 76 - 81.1. Let a = f - m. Is 0.2 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eaddamdamdeda. Give prob of picking 2 m and 2 e.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + g - 2. Let v be m(3). Let p be 18\/v - 3*-1. Let a = -4 - -7. Put -4, a, p in decreasing order.\nAnswer: a, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -6. What is the second derivative of 2*s**3 + c*s**3 + s + 4*s**3 - 4*s**3 wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b - 13*b - 12*b + 37*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eml when three letters picked without replacement from {d: 2, e: 1, c: 4, m: 3, i: 1, l: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -129540318, -129540316, -129540314?\nAnswer: -129540312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 402693 is divided by 238.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/7, 4\/5, 5, 4.6, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 - 4 - 52029\/1681?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (52 + -31 + 22)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f**2 + 2*f + 22. Give q(5).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 43\/126 + (488\/56 + -2 - 7)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -301983*q**3 - 419937?\nAnswer: -905949*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -762*k + 5800. Give u(7).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-3 + 3 - (26 + -34)) + -20\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - -11) + (-9 - -4) + -7. Is d at least 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 755 and 7.\nAnswer: 5285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1925 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/9  (b) 4\/9  (c) 5  (d) 1\/5  (e) -5\/4  (f) -1\/21  (g) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 40824107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 62952238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (-1)\/6*7. Let j = 5\/2 + u. Which is the nearest to 0.1?  (a) j  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.34 + -2.06. Let u = 1.9 + b. Sort -3, u, -0.3 in ascending order.\nAnswer: -3, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 3*y + 4*m + 2, -m - 12 = -4*y. Suppose -3*i + w + 73 = -w, -37 = -y*i - w. Find the common denominator of 76\/3 and (-7)\/3*24\/i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6398253 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -168*y**2 + 11*y + 2. Let h(v) = 84*v**2 - 6*v - 1. Give 11*h(g) + 6*r(g).\nAnswer: -84*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6877, -4\/11, 1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*y + y, -2*x = 2*y - 938. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/43, -15, 7\/11, -0.02 in decreasing order.\nAnswer: 7\/11, 2\/43, -0.02, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-9)\/(-54) + ((-5530)\/12)\/(-7) and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 312?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.184 in 30\/41, 0.02, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 25 - 15\/(-3) - -4. Let a = -30 + f. Solve 3*i - a - 1 = -p, -i + 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 25 = 6*z. Solve -4*w + 3 = f + 13, -5*f = 5*w + z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -309455*a**2 + 2166241*a - 392.\nAnswer: -(a - 7)*(309455*a - 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2598401\/8 + 322485. Let c = u - -2319. Let l = -2628 - -21057\/8. Calculate the common denominator of l and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 + 19*x**2 - 399*x - 7714. What is g(-19)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -106220*b**2. Let w(v) = -102*v. Calculate x(w(d)).\nAnswer: -1105112880*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*o + 8*o + 3055*o**3 - 1 - 2.\nAnswer: 3055*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -z**4\/6 - 2*z + 27. Let m(a) = -261*a. What is i(m(f))?\nAnswer: -136242*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -17*a**2 - 5 + 11*a**2 + 26*a**2 wrt a?\nAnswer: 40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000147771 rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -6*v + 3. Let i be k(-1). Suppose i = y + t, -4*y + 16 + 38 = -5*t. What is the highest common divisor of 154 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -75*v - 135 + 36 + 3*v**3 - 516*v**2 + 543*v**2.\nAnswer: 3*(v - 3)*(v + 1)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 164*m*r**2*t - 244*m*r**2 + 136936*m + 26501*r**2*t - 13*t wrt t?\nAnswer: 164*m*r**2 + 26501*r**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -386 <= -403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3396.8 - 3398.9. Which is the second smallest value?  (a) 87  (b) 5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*n + 2*n - 2 + 3)*(3 - 1 + 0)*(14*n - 3*n - 9*n) to y*n**2 + r + u*n and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1.531593 * 6.1\nAnswer: -9.3427173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, 10, -14 in decreasing order.\nAnswer: 10, 4, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 12\/1363  (b) -4  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6509*f**4 - 2*f**3 + 60343*f**2 - 2*f - 4.\nAnswer: -156216*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.5 and 103824?\nAnswer: 103824.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 40332 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {u: 1, m: 2, z: 1, l: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -834 - -1285. Is y a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 3*m - n - 2, -20 = 2*m - 4*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of 35*v**4\/12 - v**3 - 2*v**2 + v. Suppose 0 = -113*t - 169 - 57. What is the hundreds digit of g(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -71937*v + 215787. Determine f(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k - 1. Let y(i) = 7*i + 2. What is 5*g(r) + y(r)?\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a - 7. Let u be r(7). Let q be 1*(u + (-282)\/(-3)). Suppose q = 3*y - w, -3*w = -y + w + 35. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 750, 0, -2, 19 in increasing order.\nAnswer: -2, 0, 19, 750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2*y**2 + 2*y - 12. Let h be i(-15). Find the common denominator of (-67)\/(-3) - 1 - 1 and (18\/(-4))\/(h\/1189).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = -2*a - 13, 4 = 56*a - 52*a - 4*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6130350)\/96795*3*(-2)\/(-10).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) + (sqrt(66) - 3*sqrt(66)) + sqrt(66)))\/sqrt(2))\/(((sqrt(1100) - sqrt(1100)*1) + sqrt(1100) - sqrt(1100)) + sqrt(1100)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 189.7454079 to zero decimal places.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zcwwwwzzlzzcklnwwwwz. What is prob of sequence ln?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -22, -111, 0, -6, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mfo when three letters picked without replacement from mfkmxmxxommhx.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 32915160 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) - 5*sqrt(48)) + 2 + (sqrt(432)*3 - (sqrt(3) + (sqrt(3) - sqrt(12)\/sqrt(4)) + -4)) + 0)**2.\nAnswer: 192*sqrt(3) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 + 0 - 7 - 1 - 9*h. Let w be f(10). Solve 0 = -4*c + 5*i - 9, -c + w*c + 21 = 5*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, -29, 9, -127, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-20) - ((-68)\/10)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -c + 23 + 5, -4*j + 3*c = 112. Find the common denominator of -37\/2 and 8\/28 - 279\/j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 5. Differentiate -2 + 0*f**3 + z*f**3 + 3*f**3 with respect to f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 20 = -2*y, 2*t - y - 14 = 5. Find the common denominator of (1 - 2)*1 - (-50)\/t and -10\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y - 13. Let w be i(-5). Suppose 4*q = -w*t + 945 + 1195, 5 = 5*q. Find the third derivative of -16*f**5 + 11*f**2 - 9*f**5 - t + 1068 wrt f.\nAnswer: -1500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 - 69 = 4*b. Let m(x) = 2*x**3 - x - 1. Let i(j) = -j**2 - j - 1. Give b*m(v) + i(v).\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 2701.4278\nAnswer: 8104.2834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.01, 219, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 29 = -m, -3447833*m + 3447838*m + 4*h = -33 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -5*u + 47. Calculate the remainder when 511 is divided by w(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14217*d**4 + 11*d**3 - 103814*d - 11 wrt d.\nAnswer: 170604*d**2 + 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 43*k**2 - 4*k - 167. Let g be n(-43). Let v(q) = 4*q - 1. Let b be v(1). Suppose 0 = -2*s + b*s - 6. Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -4*c**2. Let q(v) = v**2 + 41257*v. What is q(w(j))?\nAnswer: 16*j**4 - 165028*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*p**4 + 895*p**3 + p**2 - 6729 wrt p.\nAnswer: 8*p**3 + 2685*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 260519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 859369218*j**2 - 987294800 wrt j.\nAnswer: 1718738436*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -307*f + 613*f - 315*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 9 - 6 = 0. Let v be (b*(-8)\/12)\/((-16)\/56). Solve v = 5*g - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 157 + 142 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d + 4. Let w be n(-2). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 5*z**2 - 7*z + 4. Let s be g(3). Suppose -s = -14*h + 168. Suppose o - 8*o = -154. What is the remainder when o is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 22*h**2 + 124*h + 628. Determine y(-5).\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -125  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 3*d + 62. Let a = d + -28. Suppose a*s = -2*w + 333, -3*w + 555 = -0*s + 5*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42937929, 42937916, 42937903?\nAnswer: 42937890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 266416663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 64 = -6*b, -5*n + 83*b + 184 = 74*b for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 17530  (b) 0.5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of 0*n - 18*n**2 + 0 - 7\/6*n**3 - 1\/6*n**4. Let l be ((-8)\/12 - 1)*-3. Calculate d(l).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 4:09 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 36 - 12. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t\/t**(-7))))\/t**(-6\/13)*t**(3\/7)*t**(-6\/13) assuming t is positive.\nAnswer: t**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 9 + (2 - 3 + 3)*(-3 + 3 - 2))*((5*t - 4*t - 2*t)*(2 + 0 - 4) + 2*t + 3*t + 0*t).\nAnswer: -84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6389, 6371, 6355, 6341, 6329, 6319?\n\"Answer: g**2 - 21*g + 6409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of -l**3\/3 - 7*l**2\/2 - 33*l. Let j be a(-9). Suppose 4*n = 0, -n = -j*x + 6*x + 6965. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 212583 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -752633*s**5 - 3*s**2 - 5484262*s wrt s?\nAnswer: -15052660*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5918601877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 148862797 to the power of 1\/2, to the nearest integer?\nAnswer: 12201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2874, -6055, -9514, -13245, -17242?\n\"Answer: w**3 - 145*w**2 - 2753*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1997364771.\nAnswer: 3, 3253, 22741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -1\/5, 5\/3, 260 in increasing order.\nAnswer: -1\/5, 1\/5, 5\/3, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -53\/14037 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.3, 0.09, -63, 1, 2\/27, -38, 5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 AM and 12:26 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -8*y**2. Let m(p) = -p - 5. Let q be (-6)\/15 + 24\/(-15). Let x(f) = 1. Let b(c) = q*m(c) - 10*x(c). What is z(b(j))?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 3)*(-130 - 515 - 308 + 2*b).\nAnswer: -4*b + 1906","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t**3 + t**2 - 1. Let f be u(-1). Suppose 0 = -2*x - 3*q - 7, -f*x + 3*q = q - 8. Sort 2, -1, x in descending order.\nAnswer: 2, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11467*r - 11478*r = -220. Calculate the greatest common factor of r and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 + 13. Let a = q + -2. Suppose 0 = 3*k + a - 100. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -58.2 + 61.2. Let c = -0.1 - -0.1. Let u = c + 0.1. What is the closest to u in -3, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.16, 5, 2\/9, 3\/4.\nAnswer: -0.16, 2\/9, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-332 + 190 + 212)*(2 - 1 + 2)*(0*i - 2*i + 3*i) in the form g*i + m and give g.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 5*f + 3*t = 1598556, 3*t - 2131405 = -4*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8976 and 4588980?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 2*p**2 + 54*p + 100. Let x be u(-2). Let n(d) be the second derivative of -1\/6*d**2 + x*d**3 + 0 - 7*d + 1\/36*d**4. Factor n(q).\nAnswer: (q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 + 16*i**2 - 25*i + 161. Determine h(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -36 * 2121527.\nAnswer: -76374972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1849 - -4681. List the prime factors of k.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3 equal to 369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(4 + (sqrt(396) - ((sqrt(396) - (-1 + (sqrt(396) - sqrt(396)*2 - sqrt(396)))) + sqrt(396)) - (-1*sqrt(396) + -3)) + 5))**2.\nAnswer: -1056*sqrt(11) + 6820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 863779991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 346381655, 346381659, 346381665, 346381673, 346381683, 346381695, 346381709?\n\"Answer: v**2 + v + 346381653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, 4757 in descending order.\nAnswer: 4757, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1536527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.06111573302 and -4385.\nAnswer: -4385.06111573302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 3 = 2*c, -10 = -5*w + 5*c. Suppose 10 = w*b - 2*q - 80, -4*b + 4*q + 60 = 0. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/26248 and -45\/124678.\nAnswer: 498712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 2:38 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 268256 and 2313708.\nAnswer: 18509664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180) + 0 + sqrt(180) + 0 - (-1*(-2*sqrt(60) + sqrt(60)) - sqrt(60))\/sqrt(12)) + 3 + 3)**2.\nAnswer: 144*sqrt(5) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83699125*p**2 - 25 - 83699130*p**2 + 24.\nAnswer: -5*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 + 1 - ((92 - -94) + -133)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1920)\/(-1120)*140\/(-6360).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 20*n**5\/9 - 16*n**4\/3 - 164*n**3\/9 + 112*n**2\/9 + 16*n - 64\/9 = 0.\nAnswer: -2, -1, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {a: 1, k: 1, p: 2, g: 1, s: 1, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-6))\/(1\/27)*(-44)\/(-11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 354*u**3 + 8*u**2 - 2*u - 23. Is k(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 - 8. Calculate the greatest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -236 less than 18?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -235*p**2 - 108523*p + 108523*p.\nAnswer: -235*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/6 in 234, -0.6, -19, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from xxxxxxxxxtqtxtqxx.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 9) + (496 - 378) + 10 + 1 + -1?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + -296e?\nAnswer: -2971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 872*m**3 + 6*m**2 + 6*m. Suppose -4*d - 4 = -5*d. Let i(g) = -873*g**3 - 5*g**2 - 5*g. Let t(q) = d*h(q) + 5*i(q). Is t(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, 0, -6, -4, -3, -0.153?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12\/(5751\/1143 + -5) is divided by 69.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*j - 73 + 109. Suppose -310 - 245 = -j*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 PM and 1:34 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*j - 1123 = 356 - 373 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 360*l + 303*l + 30*l = 2079 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bzbebwzwzbcvzzcwcz. What is prob of picking 1 b and 1 e?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 9*j - 5)*(0*j + j + j + 0 + 0 + j + (-2*j + 5*j - 4*j)*(0 + 0 - 2) - 1696725 + 191*j + 1696725) to the form t*j + q + l*j**2 and give l.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the second derivative of -f**6\/9 + 2*f**5\/5 - 2*f**4\/9 + 14*f. Factor m(w).\nAnswer: -2*w**2*(w - 2)*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12859 and 4?\nAnswer: 51436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/241  (b) -5205  (c) -1\/4  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -11 + -3 + 0 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -576 + 146 = -5*p + 5*s, -3*p + 262 = s. Suppose -p = 5*l - 87. Solve -2*m = -10, -5*v + 0*v + 3*m - 35 = l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6134*k + 139030 = -204474 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q**2 - 25*q - 12. Let z be 3 - (-77 - -2)\/(-5). Let g be t(z). Suppose g = -h + 15 - 10. Solve 15 = -2*f + h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i + 66. Let h = -15 - -13. Let r be (0 + 4 + -4)\/h. What is the units digit of j(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.7, 0.5, -0.2, -2, -28.\nAnswer: -28, -2, -0.7, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/34800 and 133\/129450.\nAnswer: 30032400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 11, 30, 65, 122, 207, 326, 485?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rqdrrrqhn. Give prob of sequence hq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7584983837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2175 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*z - 2*a + 2 - 20 = 0, 5*a = 3*z + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 69.8, 222 in descending order.\nAnswer: 222, 69.8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6783 and 161721?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -2*r**3\/9 - 54*r**2 - 4374*r - 118098 = 0.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of 3*u**2 + 0*u + 0 + 0*u**4 - 7\/6*u**3 + 1\/60*u**5. Differentiate m(s) wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.42 + -16.42716\nAnswer: -16.84716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11378 - -11379. Suppose 2*w - 16 = -2*w. Suppose -4*a + 0*a = -3*c + 35, 2*c - 24 = 2*a. Solve -w*f + n = c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 10*l - 218*l - 1952 + 179*l**2 - 177*l**2. Let w(n) = -n**2 + 69*n + 651. Let z(t) = 3*q(t) + 8*w(t). Factor z(a).\nAnswer: -2*(a + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -4*m + 32, 3*y + 183 = -5*m + 227. Let o(d) be the first derivative of 0*d + 1\/6*d**3 + 1\/8*d**m + 26 - 1\/2*d**2. Solve o(a) = 0 for a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 540?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4076417.\nAnswer: 4076417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -3. Let c = 4 - n. Suppose 2*f - 8 = c. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of -1\/12*w**4 + 0 + 0*w - w**2 + 0*w**3. Let a(r) = 3*r. Let t(h) = -2*h. Let v(d) = 2*a(d) + 5*t(d). Give v(p(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*m - 4*m + 2*m)*(0 - 3 + 1) - 3 - m + 3)*(26 + m - 26) - 84407*m + 10*m**2 + 84408*m + 161*m**2.\nAnswer: 166*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(3\/(-3)) - -51. What is the units digit of (72\/(-10))\/((-15)\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/sqrt(200))\/(3*sqrt(120)\/sqrt(10)).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/2  (b) 0.207  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-6)*v**7)**(13\/4)*v**(2\/9)*(v\/v**(-2\/5))\/v*(v\/v**(-2\/3))\/v*v**(-1\/3)*v assuming v is positive.\nAnswer: v**(937\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15*b**4 - 148*b**3*g - 64530*g + 4 wrt b?\nAnswer: -60*b**3 - 444*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - 32)\/((-2)\/(-4)). Suppose 0*a + 4*a = -4*x - 16, -12 = 4*a + 3*x. Put u, a, 5 in decreasing order.\nAnswer: 5, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -273 - -496. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20186 - 20185.7. Which is the third biggest value?  (a) 2\/19  (b) w  (c) 5  (d) -31  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.5, -5, -74037?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 4*r. Let k(l) = 2 - 6 + 4 - l**2. Determine q(k(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 895923912 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + o - a = 2, 0 = -o - 5*a - 10. Suppose 13*l - 18*l + 90 = o. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -3*p + 35. Let i(k) = -k**2 + 10*k - 6. Let a be i(p). Let t = 64 - a. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 28 + 20 = -r, 4*q - 5*r - 64 = 0. Let z = -32 + 32. Solve z = -4*h + q, -3*w + 5*h - 47 + 18 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*v = -16 + 83, -2*g + 5*v + 98 = 0. List the prime factors of g.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10324511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 180 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12035 - -12111. Calculate the smallest common multiple of 672 and r.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 78552, 157096, 235604, 314058, 392440, 470732?\n\"Answer: -3*z**3 + 78565*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1094*a = 1089*a + 10, -3*a + 3 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*j - 13 + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -471908, -1887603, -4247094, -7550381, -11797464, -16988343, -23123018?\n\"Answer: -471898*g**2 - g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 587073724 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1255?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35 - 33. Suppose 0 = 5*o - v*t - 2*t - 6, -t - 1 = -o. What is the remainder when o\/3 + 7682\/69 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-24))\/(85\/(-340))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-64))\/((-8)\/((-224)\/(-1)))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h + 13. Let u be f(-9). Suppose -u*b + 4*w + 20 = 0, 6*b + 4*w = 2*b + 12. Solve b - 2 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 323*o - 328*o. Is 5 + (2 - o - -2255) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 922451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87 = -59*f + 3*m, 5*f - 305*m + 135 = -300*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of 5*n**3\/6 + n**2 + 4*n - 1. Let r(u) be the first derivative of a(u). Is 27 a factor of r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 5*n**3 - 5*n**2 + 3*n - 7. Let q(c) = 11*c**3 - 11*c**2 + 7*c - 13. Give -9*m(z) + 4*q(z).\nAnswer: -z**3 + z**2 + z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + -54 + 53 - (0 + -13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -1  (c) -2  (d) 2\/741\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (-1 - 2)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sqoeqgb. What is prob of sequence gq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1212966179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2856644374 to the power of 1\/4, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/24 - 2\/(-8). Let t(y) = 3*y**2 - y - 2. Let m be t(-1). Determine v, given that 1\/3*v**m + d*v + 1\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -116970, -117136, -117590, -118476, -119938, -122120, -125166?\n\"Answer: -24*o**3 + 2*o - 116948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18057998171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 w, and 2 l when four letters picked without replacement from qlllqnwlnnqinllwggn.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cocowdo. What is prob of sequence wc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3898 + 3902. Let z(i) = -3*i. Let f(w) = 5*w. Let m(n) = 4*f(n) + 7*z(n). Let u(k) = 4*k. Determine v*u(x) + 18*m(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 2\/3*h**4 + 0*h**2 - 10*h**3 + 0 + 0*h = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + -1. Solve 2*r = -o*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 759313.9718 plus 0.103?\nAnswer: 759314.0748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-9)\/(-12))\/((-1)\/(-4)). What is the second derivative of -20 - 19*m - 6*m**s + 20 + 19*m**3 wrt m?\nAnswer: 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + z - 1 + (2*z + 0 + 0)*(4 + 3 - 5) + 0*z - 3*z + z)*(-3 + 2 + 2).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 4*v**3 + 4. Let w(u) = 5*u**3 + 4. What is 6*a(y) - 5*w(y)?\nAnswer: -y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 3*l - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1306176 bigger than -1306181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 451 and 1496.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 397*h - 60*h**3 + 105*h**3 - 4 - 397*h - 61*h**3.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 67597 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 116 divide 142332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 6*r**2 + r - 10. Let q be m(5). Suppose -q = -3*y - 2*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12810629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 4*w + w = -47, 0 = -4*h + 5*w - 57. Let r = -8 - h. Suppose 5*i = 3*l - r*l - 35, l = 5*i + 25. Solve t + 5*n = 15, -n + l*n = 4*t - 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 - f**2 - 12*f + 4. Let c be v(4). Solve c*k = -k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1087\/3 + -1088\/3. What is the fourth smallest value in p, 2, -1\/7, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 30306246 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -237356 = -1958*x - 464*x for x.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -16*g**3 + 2*g**2 - 2. Determine s(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 1386.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-690)\/(-6 + 1) + 2. Suppose -24*u + i = -19*u. Find a, given that -122*a**2 + 197*a**3 + 6*a - 126*a**4 + u*a**4 + 4 + 13*a**3 = 0.\nAnswer: -1\/7, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/7 and -20\/633?\nAnswer: 4431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 13 + 74 = 0. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -29, -59, -99, -149?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/52 and 17\/2462?\nAnswer: 64012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 85*q**2 + 2*q - 400*q**2 - 939 + 936 as f*q**2 + n*q + g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43134747 to the nearest integer?\nAnswer: 6568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57403 (base 13) to base 2.\nAnswer: 100110110010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -30 + 35. Solve 3*i + 4*v + 12 = 4*i, -4*i + w*v + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 213627416 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 137 = -4*s, -47*f + 45*f - 3*s - 64 = 0. Which is greater: 63 or f?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from toj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2 = 2*p, 0*x + 2*x + p = 9. Suppose -x*y = -y - 93. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209) + sqrt(209) + 2*sqrt(209)*2 + sqrt(209))\/((sqrt(99)\/sqrt(3))\/sqrt(3)).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -36059900 to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 0)*(-2*l**2 - 706*l**4 - 72 + 46 + 707*l**4).\nAnswer: l**4 - 2*l**2 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1043 + -1039. Solve -h = 10*t + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15 - 3*u**2 - 15)*(6 - 3 - 2)*(4 + 2 - 3)*(-u + u + 2*u) to the form g*u**3 + y*u**2 + k*u + p and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -3*k - 14. Let v(y) = -14*y**3 + y**2. Let x be v(1). What is the tens digit of i(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1240, -1212, -1188, -1168, -1152, -1140?\n\"Answer: -2*t**2 + 34*t - 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 11 + 35. Let v = w - 21. Find the second derivative of 0*h**2 - 3*h + h**2 - 5*h**v wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 170 + -164. Calculate the smallest common multiple of 89\/13 + z\/39 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 37*j - 203 + 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yay when three letters picked without replacement from {w: 1, y: 13, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(343)*5 - (sqrt(252) + 2).\nAnswer: -2 + 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-one fifths of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8\/6)\/((-8)\/24). Let q be (-2)\/2 + (-6)\/(-4). What is the closest to -1 in r, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 243 and 20574?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((23 - 26) + (-50)\/(-18)) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -4. Let l = 2 - -2. Let m = l + g. Solve m*k - 12 = -0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of 91*a**6\/60 - a**4\/12 - 161*a**3\/2 - a**2 - 317. What is the derivative of o(h) wrt h?\nAnswer: 546*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3838 by -2971.\nAnswer: 3838\/2971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.647044 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.8 + -7.5. Let k = 3 + -2.3. Let w = v + k. Sort -1, 3, w.\nAnswer: w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -4*y, -44 = -7*s - 4*y - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (4 + -5*(1*sqrt(75) + -5 + 1 + (sqrt(75) - -1*sqrt(75)) + 1))**2.\nAnswer: -2850*sqrt(3) + 17239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15383535 by 3076707.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 13*r**2 + 10*r - 26. Let b be o(11). Suppose -3*n + 4*n = k + 418, 0 = 4*k + n + b. Let g = k - -622. Does 34 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 526, 1024, 1524, 2026, 2530?\nAnswer: 3036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 492 a factor of 555183624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 PM and 6:47 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2542847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 5334 divided by -11782\nAnswer: -2667\/5891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 44, 18, -26, -94, -192, -326?\n\"Answer: -c**3 - 3*c**2 - 10*c + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18730.\nAnswer: 2, 5, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*p**3 + 8*p**3 - p**4 - 26 + 26 - 9*p**2 = 0. Calculate p.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -5*l + 6*l + 2 + 3 - l**3. Let q be u(0). Let w(t) = t**2 + 4*t - 7. Calculate the remainder when w(q) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35)\/(-63)*12*(-1224)\/(-680).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 6*u**3 + 60*u**2 - 8*u + 145. Give g(-10).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -230 + 1601c?\nAnswer: 15dec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-1\/36)\/((i*i*i\/(i\/(i\/(i\/(i*i*i\/(i\/i**(-1\/39))*i*i)))))\/i)*(i\/i**(-2\/37))\/i*i*(i\/(((i*(i**(-10\/11)\/i)\/i)\/i)\/i)*i*i)\/i*i assuming i is positive.\nAnswer: i**(564001\/190476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 35 + -32. Suppose y = -s, -y - 120 = -3*t - 4*y. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w\/w**(-5)*w*w))\/w**(1\/8)*(w\/w**(-1\/2))\/w**(-9) assuming w is positive.\nAnswer: w**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-15)\/(-9))\/((-1)\/3). Let a = o + 5. Which is smaller: 1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171949881.\nAnswer: 3, 57316627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, r: 1, y: 12}. What is prob of sequence yppy?\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 - (1 + -7 - 1 - -11 - 9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 337347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -508 - -528. Let b = -25 + -2. Let a = n - b. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -10*v - 10. Let r be c(4). Let w = -46 - r. Suppose -w*s + 67 = -21. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x + 224 + 217 = 0. Let t be x\/(-28) - 3\/(-12). Solve -s + 2*b + 6 = 3*b, -8 = -3*s + t*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1273997485 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9033\/661 + 2\/1983. Calculate the common denominator of j and -37\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11298166 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 q when three letters picked without replacement from gooqjjgjjoqooqooqoj.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -12*t**2 - 20*t - 7. Let r(d) = 6*d**2 + 8*d + 3. Let a(q) = -5*r(q) - 2*s(q). Let b(v) = v**2. Give -a(p) - 2*b(p).\nAnswer: 4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*i**4 - 2*i + 12*i**4 - 4*i + 11*i**4 - 4 + 7 to the form b*i**2 + s*i**3 + n*i**4 + v*i + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*v**3 - 5*v**2 - 5*v**3 - 4*v**3 + 7*v**2 - 2*v - 4*v to the form j*v + c + g*v**2 + d*v**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7 + 36458\/6)\/(2\/48). What is h rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22656 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 893772 and 225?\nAnswer: 22344300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 (base 10) in base 6?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*a**3 + 25 - 47 + 27 + 3*a**2 - 3*a**2.\nAnswer: 18*a**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1219652.4 months?\nAnswer: 10163.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 + -8.15. Let v = 2.2 - 2.25. Let j = o - v. Which is the closest to j?  (a) -0.04  (b) 0  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggng. Give prob of picking 4 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -261.94 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 263 - 791\/3. What is the closest to 2 in q, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.091531 - 9.908469. Let f = 0.39 - -0.01. Which is the third smallest value?  (a) -3  (b) v  (c) -5  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4007947 - 7440281. Let g = 4822334 + h. Round g to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-6*(-3)\/45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 8 = t, 0 = 2*t - 2*r + 6*r - 8. Suppose -2*s + t + 6 = 0. Solve -s*x + 0 = -15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6479846899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 22\/9, -2422, -2\/13?\nAnswer: -2422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) -1157  (c) 0  (d) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1 + 0.4. Is 2\/3 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 61*n - 67*n - 125*n - 1441 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -74 * -67550.3.\nAnswer: 4998722.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 56 + 1 + 3\/(21\/28)*3\/6\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 168 - 23. Let b = -18 + j. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**8*n**1)\/(n**(-2\/9))**32 assuming n is positive.\nAnswer: n**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-2\/5)*i)\/i)**(2\/19))**(2\/19) assuming i is positive.\nAnswer: i**(-8\/1805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -2*k - 5*f, 0 = -3*k - f + 5 + 7. Suppose -k*m + 12 = 3*z, m - 2 = -5*z + 2. Suppose -n + 42700000 = -z*n. Round n to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41*k**6 + 179620*k**5*x - k**2*x + 2*k**2 - k*x + k + x + 161751 wrt k?\nAnswer: -4920*k**3 + 10777200*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 + 59*x**2 - 4*x - 254. Give h(-59).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 189 = 2*z - 2*l, -2*l - 95 = -z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 271 + (6\/3 - 2). Let p = 112 - i. Is p\/(-7) + 2\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-2)\/(-2)*0\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -i + 12483, 5*d + 6761 + 18184 = 2*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -9*v**3 + 2*v**2 + 13*v - 3. Let q be z(-6). Suppose -a + q = 8*a. What are the prime factors of a?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7279876 a multiple of 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 + 5*k**2 + 3*k + 6. Let p be 1 + 12\/4*1. Suppose 3 = -j + n - 2*n, 18 = -p*j + 2*n. Give g(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 19092 - 648*v - 16565 - 8103 + 185*v wrt v?\nAnswer: -463","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 224, 220, 214, 206, 196, 184, 170?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of 1\/6*k**4 + 0*k**3 + 0*k**2 + 6 + 6*k. Let i(q) be the first derivative of r(q). Let o(c) = c**2. Determine i(o(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((80\/315)\/2)\/((-115)\/((-128340)\/(-248))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -122, -0.1, 1\/14, -4, 2\/239 in increasing order.\nAnswer: -122, -4, -0.1, 2\/239, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.4, -2, -1\/6, 0.0203, -88?\nAnswer: 0.0203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -48*h - 26633. Determine u(-555).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**2 + 54*k + 196. Let d be m(-23). What is the nearest to -3 in d, 0.03, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 425 times 266059?\nAnswer: 113075075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 11*p - 62. Let n be c(6). Suppose -2*a + 2 = n*k + 12, 4*a - 24 = 3*k. Solve -a*t = -6*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000770703963 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-272)\/6)\/((-163)\/((-72372)\/592))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/3, 5, -2\/317, 7\/3193, 4 in ascending order.\nAnswer: -2\/317, 7\/3193, 7\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -42, -42, -32, -6, 42?\n\"Answer: v**3 - v**2 - 4*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 738.5457 minutes?\nAnswer: 44312742000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 114608 - 68049. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 - 11*g + 57. Let s be v(6). What is the remainder when (117 + s)*1\/3 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/3  (b) 1\/19  (c) 0.4  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6997001+263\nAnswer: 6997264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (7 - 10) + (3 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 8, 4, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11153 + 16378. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14837633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -35*r + 0 + 1 - 32*r - 11*r in the form h*r + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9*3*3\/(-18))\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {d: 3, l: 3, j: 2, w: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**3 + 2180 - 771 - 703 - 706 + 2*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10*f**4 - 55*f**2 + f + 85250 wrt f.\nAnswer: 40*f**3 - 110*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 14 divided by 12\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-2754648)\/(-2322))\/(-36) + 10\/(-215)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i + 1. Let q = 2 + -1. Let r = q + -4. Calculate b(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8750865 is divided by 266.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 143405441 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 prob of sequence ev when two letters picked without replacement from {q: 1, e: 2, v: 1, k: 1, r: 1, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1857988221?\nAnswer: 3, 22777, 27191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 2  (b) -6  (c) 2\/5  (d) -5  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 187*u**2 + 229*u**4 - 579*u**2 + u + 192*u**2 + 2 + 191*u**2 to the form r + b*u + w*u**4 + l*u**2 + i*u**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3172496423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 2 = 5. Let u(d) = 49*d**2 - 2*d - 1. Let y be u(f). Suppose -y = 2*g - 7*g. What is the remainder when 48 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-8 - -3)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 35506481?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 23468755 - 20600447 = 0. Suppose -6*q - r - 2470266 = 0. Round q to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -361, 0.5, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (614 - 1417 - 1036 - 246)*(-15*z - 23*z + 13*z) in the form r + j*z and give j.\nAnswer: 52125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - 16.5009.\nAnswer: -22.5009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -107 - -106.92. Sort z, 0.2, 0.1, -0.4 in descending order.\nAnswer: 0.2, 0.1, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30 - (-22 + 25)\/((-42)\/308)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 + 8*i + 12. Let n be j(-6). What are the prime factors of (0 - -2)*(10 + n)*4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**2 - 7*f + 6. Let i = 20 - 16. What are the prime factors of p(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) -0.15  (c) -3\/94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -4 - g + 5*g - 2 + 10*g. Let k be q(3). What is the greatest common divisor of k and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16189 - 16189. Let q(s) be the third derivative of -1\/60*s**5 + 0*s**4 - 24*s**2 + 0*s**3 + 0 + c*s. Let w(o) = 6*o. What is q(w(a))?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 13741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1375 is divided by 812?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 9, 0, -0.5, -3 in increasing order.\nAnswer: -3, -0.5, 0, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 9*y**2 + 2. Let g be h(-2). Let k = g + -22. Suppose 3*t - c = -6*c + 161, k = 4*c. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.8713  (b) 0  (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14840 divided by 7420?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/1836 + -33013\/64260. Let n = 4961 - 99253\/20. What is the common denominator of n and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -453, -2226, -5177, -9306, -14613, -21098?\nAnswer: -28761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3049 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69, -70, -89, -132, -205, -314, -465?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of -a**3\/6 + 7*a**2 - 4*a. Suppose 0 = 9*i + 6*i. Give w(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4 and 206223.25415.\nAnswer: 206219.25415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140 = 7545*r - 7549*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 435, 426, 417, 408?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 56 = -59. Let u(o) = -o**2 + 4*o - 2. Let q be u(4). Let p = -31 + 28. Which is the nearest to q?  (a) p  (b) t  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -0.2  (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10.58 - -79.02. Let g = m + -90. Which is the smallest value?  (a) 2  (b) g  (c) -0.026\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2426680 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 205 + 277. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -6\/113 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 5*f**2 + 4*f - 3. Suppose 0 = -5*y + 13 + 7. Let d be m(y). Let k(a) = -19*a - 6. What are the prime factors of k(d)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/2752 and 97\/11696.\nAnswer: 46784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 10*i**3 - 7*i**2 + i. Let w(t) = -7*t**3 + 5*t**2 - t. Let q be 8\/(-12)*(-15)\/(-2). Suppose -c + 5*c = -28. Calculate c*w(u) + q*b(u).\nAnswer: -u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + 7\/3)\/(7\/21). Suppose -2*n + 3*c = -4*n - 1, r*n + 4*c = 0. What is the highest common factor of n and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1606376 and 114.\nAnswer: 91563432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -568 (base 11) to base 16\nAnswer: -2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*t**2 + 36*t - 38*t + 15*t**2 - 63 to c + f*t**2 + q*t and give c.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1634136 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does -9051 = -9065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 2*p - 2*f - 4 = 0, p = -5*f - 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6396410772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -67871104863 + 0.2?\nAnswer: -67871104862.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 11:15 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1737 and 4.\nAnswer: -6948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5890983*x**6 + 19607544*x**2 wrt x?\nAnswer: -706917960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -329 (base 12) in base 13?\nAnswer: -29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) 3\/20  (c) 0.1  (d) 14  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -385*g - 3589. What is a(-10)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*x - 29*x = 200 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*x + 125 - 129 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25865 + 43110. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*j + 80 - 79 + 59. Let v(u) = -4*u. Let t be v(1). Let y = -7 + 12. Sort -1, y, j, t in descending order.\nAnswer: y, -1, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647068400 to the power of 1\/2, to the nearest integer?\nAnswer: 25438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1401318 and 3.\nAnswer: -1401315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 71848448 and 896.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 105643 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of 0*v**3 + 1\/30*v**7 + 3\/40*v**6 + 0*v + 0 - 2*v**2 - 1\/6*v**4 - 1\/5*v**5. Factor a(n).\nAnswer: n*(n - 1)*(n + 2)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2200 (base 8) to base 16\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 plus -18?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (0 + (sqrt(288) + 0 + sqrt(288) - sqrt(288)) + sqrt(288))**2 - (-2*sqrt(100))\/((sqrt(2) - sqrt(6)\/sqrt(3))*4 + sqrt(2))) + 0.\nAnswer: 10*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 3 - 3 = 0, 0 = -5*h + 2*k + 9. Let n(d) be the first derivative of -d**2 - d + 1. What is the remainder when h is divided by n(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*y**2 + y**2 + 2*y**2 + (1 + 0 - 4)*(-3*y**2 + y**2 + 0*y**2) as r*y + t*y**2 + s and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 49717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*q = 47*q + 188. What is the remainder when q is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6 - (-7 - 72\/(-81)). Let j(k) be the first derivative of -1\/6*k + 0*k**4 - 1\/30*k**5 + n*k**3 - 2 + 0*k**2. Find f such that j(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 751425 + 68575. What is v rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 128, 445, 1056, 2057?\nAnswer: 3544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5985080.\nAnswer: 2, 5, 149627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 62*n**3 - 2*n**2 - 22*n + 68. Let d = -665 - -668. What is the hundreds digit of l(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 6*z**2 - 3*z - 4*z + 23 + 2*z**2 - z. Let b = -28 - -81. Calculate the remainder when h(6) is divided by b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 19*f**3 - 2*f**2 + f. Let g be u(1). Let n = -25 - -51. Suppose g + n = i. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.69 - 93.09. Let p = h - -92.7. Which is the second biggest value?  (a) 1\/4  (b) -3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - 7*a**2 - 11*a. Let d be u(8). Let y be d\/192 - (-15)\/(-8). Suppose -4*w = -2*h - 32, 19 = -2*h + 3*h + 5*w. Is y at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*j - 489 = 0, 2*p + 2*p - 4*j = 388. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(171)*3 + 1*sqrt(171)*-2)\/(5*sqrt(225)*1).\nAnswer: sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 869 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26383 is divided by 159.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2.256 times -0.14\nAnswer: 0.31584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 12.82 and 133131010.\nAnswer: 133131022.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Round -3888500 to the nearest 10000.\nAnswer: -3890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/10*((-7680)\/(-72))\/64\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3238, -6163, -8772, -11065, -13042, -14703?\n\"Answer: 158*x**2 - 3399*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -13849 times -0.0122\nAnswer: 168.9578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)*2)\/sqrt(4))\/(sqrt(9) - 1*sqrt(729) - sqrt(9)).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1966 is divided by 495.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 4*j. Let y be g(1). Let r(x) = x + 2*x + 2 - 2*x - 1. Let h(n) = -1 + 2 + 1 + 3*n. Calculate y*r(l) - h(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, c: 1, j: 1, u: 2, w: 2, q: 1}. Give prob of sequence uqcj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tzftfbf. Give prob of sequence fbt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -3*w**2. Let o(i) be the third derivative of -i**6\/72 + 4*i**3\/3 + 31*i**2. Let p(j) be the first derivative of o(j). Calculate u(p(b)).\nAnswer: -75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t**2 + 16*t + 25. What are the prime factors of s(9)?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*x - 22*x - 189 = 22*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4896*m**2 + 13*m**3 + 9707*m**2 - 4811*m**2.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-6\/19)\/(b*b**(3\/17))*(b**6)**40 assuming b is positive.\nAnswer: b**(77038\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of -2*v**5\/15 + 65*v**4\/24 - 17*v**3 + 56*v**2. Let q(a) be the first derivative of p(a). What is the derivative of q(k) wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1406\/3 - -468. Which is the second biggest value?  (a) -4  (b) n  (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*b - 5 = -2*b - 21, 7*b = 4*o + 56 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 3038.2 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 496*g**2 + 87380*g + 1211364.\nAnswer: 4*(g + 161)*(124*g + 1881)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 160.963523223776\nAnswer: -164.963523223776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a, 0 = s - 3*a - 9 - 19. What is the greatest common factor of 28 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 0.116.\nAnswer: 0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-10)*1*10\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/17092670 and -76\/5755695.\nAnswer: 564058110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that t**5 - 92*t**4 + 57*t**3 + 3158*t**2 - 5728*t - 8736 = 0.\nAnswer: -6, -1, 4, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1515199363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = -3*g - 2*x + 11, 10 = 2*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*w + 2 + 3*w**2 - 35*w - 29*w**4 + 42*w - w**2 as q*w + g*w**3 + z*w**2 + x + c*w**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39 and 1131?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -13.175. Let a = -404587.30500143 - -404587.48. Let f = p - a. Round f to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 2:45 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 99, 207, 315, 423, 531, 639?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.11  (b) 5  (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = -5*q + 1, -331*q = l - 355*q + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 12) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 813921.\nAnswer: 1\/271307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 247773400 rounded to the nearest 100000?\nAnswer: 247800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2752*v = 827*v + 59675 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -850442 and 3.\nAnswer: -850439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 332 divide 202520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/4 + 10\/4. Suppose -v*r = -l - 4*l + 58, -4*r = 5*l - 34. Let c be (-1)\/((-1)\/5) + -2. Solve -c + l = 5*g + 3*j, 2*g + 6 = j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 0*a - 75\/4*a**4 + 507\/4*a**2 - 3\/4*a**5 - 429\/4*a**3 = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(102)*-1 - sqrt(102) - sqrt(102)) + sqrt(102)*-1*6)\/(sqrt(6) - (sqrt(6) + sqrt(24)\/sqrt(4))*3 - (sqrt(150)*-2 - sqrt(150))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100000001 + -10?\nAnswer: 11111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.2506495 to 1 decimal place.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.11 - -0.35. Let h = x - 0.74. Which is the second biggest value?  (a) h  (b) -3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 344705082.\nAnswer: 2, 3, 57450847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(153) - (sqrt(153) + (-2*sqrt(153)*2 - sqrt(153) - sqrt(153))))*4)\/(sqrt(252)\/(1*sqrt(35)\/sqrt(5))).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23 + 2*g**2 - 31 + 2*g**2 + 83 - 24 + 19*g to the form o + i*g + q*g**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/125*-5*(-5)\/(-10). What is the closest to -1\/3 in -0.2, o, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -13*a**3 + 142*a**2 + 9*a + 62. Calculate the smallest common multiple of 16 and p(11).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, h: 3}. Give prob of sequence hhfh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(957\/9)\/(-29).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 plus -152970.346656?\nAnswer: -152962.346656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 592375 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -29\/72 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 5*h - 14 - 11 = 0, -5*p + 37 = -h. Suppose -d = 3 - p. Suppose -d*g + 8*l - 3*l + 75 = 0, -3 = l. What is the remainder when 19 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 15*b**2 - 17*b - 10. Let z(n) = n**3 + 16*n**2 - 6*n + 16. Let j be z(-16). Suppose -14*l + 7*l - j = 0. Is 3 a factor of c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 363856.77 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - -4 - 2)*-1. Let c(b) = -b**2 + 2*b + 4. Let z be c(2). What is the closest to p in z, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {e: 1, t: 1, f: 2, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 - 9*g - 8. Suppose f + 10 = 20. Let y be o(f). Let d = -5 - -4.9. Which is the smallest value?  (a) d  (b) 0.2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 49323, 49317, 49305, 49287, 49263, 49233, 49197?\nAnswer: 49155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 11*j**2 + 5*j - 6. Determine v(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*i**4 - 2*i**4 - i**4)*((2*i - 1 + 1)*(-3 + 2 + 3) - 35*i + 27*i + 29*i).\nAnswer: 25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**2 - 3*s**2 + 2*s**2 - 4*s**2 - 4*s**2 + 5*s**2 + (-2*s**2 - s**2 + 2*s**2)*(4 - 1 - 2).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 43. Let d be (-704)\/o + 2 + (-4)\/(-6). Let x = -27 + d. Is 7 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17 + -16.5. What is the biggest value in d, 35, -2, -0.2?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -659 - -662. Solve -4*n - 10 = -5*v, 3*v - 19 = r*n + 2*n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*j + 131 = 132*j + 5*k, -k - 1600 = j - 35*j for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 203, 1109, 3429, 7871, 15143?\nAnswer: 25953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 499145065.\nAnswer: 5, 2939, 33967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 6*s, 4*n + 4 - 4 = 3*s. Solve 11*i - 44 - 22 = n for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.01  (b) -2\/119  (c) 4  (d) 13  (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.47404l in millilitres?\nAnswer: 51474.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) + (sqrt(153) + sqrt(153)*4)**2 + 5)*1.\nAnswer: 3*sqrt(17) + 3830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11421 take away -253004?\nAnswer: 264425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*q + 4*f + 2, q + 2*f = -3. Let n(o) = -2*o**2 + 8*o - 2. Let y be n(3). Suppose -2*s - 14 = 4*h, -y*h = -s - s + 2. Sort q, s, -1.\nAnswer: s, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2216 in -3.1, 4, -0.3?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-5)\/(-3)*126\/(-1995).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-18) - (-20797)\/(-42). Calculate the common denominator of (8\/80)\/((-6)\/d) and (147\/12 - 3)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43757 (base 8) to base 10\nAnswer: 18415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2387238 divided by -4746.\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - (1 - 7)) + (-2 - (1 + -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -107641\nAnswer: 1\/107641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 13 = 3*h - 2, -2*h + 4*z + 10 = 0. Let v = h - 5. Do 0 and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 68, 282, 696, 1358, 2316?\nAnswer: 3618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v - 2*v**3 + 1\/3*v**4 - 3 + 8\/3*v**2.\nAnswer: (v - 3)**2*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i = 1 - 37. Let c(o) = -18*o**3. Let q(v) = -287*v**3. Give i*q(t) - 63*c(t).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 + 22*a - 85. Let h be c(17). Sort 1, h, 3, 8 in descending order.\nAnswer: 8, 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61 - 0.2437.\nAnswer: 60.7563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -15 + 6 - (-6 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2758569 rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 55\/2 of a century?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1193 - 2060*k + 353 + 1704 - 248 + 230 wrt k?\nAnswer: -2060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 9*f + 21. Let h(l) = 9*l + 22. Let a(u) = 2*h(u) - 3*s(u). Is 16 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000367605535 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.09, -873, -8.3, 20, 1, -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62614.\nAnswer: 2, 31307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/56, 10\/181, -0.5, 2.34?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5726 - 1265444\/221. Let p = 209\/1326 + d. Put p, 1\/7, 0.1 in descending order.\nAnswer: p, 1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of -13*l**2\/2 - l - 9. What is the tens digit of b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -10*g**2 + 6*g + 4. Let v be y(6). Round v to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 2*q + 72 = -5*g, -3*g - 108 = -5*q. Let y = g + 32. What is the units digit of (-2)\/4*y + 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h + 1. Suppose 0 = -5*o + 2*o. Let y be l(o). Suppose -n + 3*a = -31, -11 = -2*a - y. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 + 42*r**2 - 47*r - 172. What is p(-43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.89*1.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeaayaeey.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.64273 centimeters in nanometers?\nAnswer: 36427300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-4\/5)*u**(-5)*(u**(2\/7)*u)**32 assuming u is positive.\nAnswer: u**(1237\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011001000110000101 - 110000?\nAnswer: 1011001000101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27 - 21. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1465*l**3*n**2 + 1571*l**3*n + 2*l**3 + l**2*n + 15608496*l*n**2 wrt l?\nAnswer: 8790*n**2 + 9426*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 635.089 - 634. Round r to 2 decimal places.\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 20*j**2 - 26*j - 59. Let y(w) = -11*w**2 + 13*w + 29. Let c(q) = 6*m(q) + 11*y(q). Let t be c(-5). Solve -t*g - 5*b - 10 = 0, -3*b + 5*b = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(57)\/((-1*sqrt(27))\/sqrt(9)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 12:52 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 674, 2688, 6028, 10682, 16638, 23884, 32408, 42198?\nAnswer: 53242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a9 - 0?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.07485 and -0.3.\nAnswer: 0.022455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**2)**(-47))**(-1\/23)\/((h\/((h\/(h\/h**(-4)))\/h))\/(h\/((h**(-4)\/h)\/h))*h\/(h\/((h**3*h)\/h)*h)*h*h**(-3)*h) assuming h is positive.\nAnswer: h**(94\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + 3*j**2 + 2*j + 9. Let t be f(8). Let q = t + 428. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1847878, -1847875, -1847862, -1847833, -1847782, -1847703?\nAnswer: -1847590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 3 + 1. Let k be g*(-3)\/3 + 0. Let t(q) = 12*q**3 + 1. What is the tens digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-1\/17)\/(k**(-8)*k) assuming k is positive.\nAnswer: k**(118\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/4 - 7354*o + 54081316.\nAnswer: (o - 14708)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 1910 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -3*r - k + 1263, 4*r + k = 1703. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17 and -1.5439.\nAnswer: 26.2463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(4 + -1 + sqrt(17) + -1).\nAnswer: -4*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 41 + 311*q + 2178*q - 22 - 19 as u + y*q and give y.\nAnswer: 2489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2189 - 2188.9. Let h = -39.079 + 0.079. Is h greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -357*l*t**2 - 2147*l*t + 49*l - 4140 wrt t.\nAnswer: -714*l*t - 2147*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.99 + -0.01. Which is smaller: m or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21072 + -93117161\/4419. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/2)\/q*q**(-3\/7)*q\/((q\/(q*q**(-3\/8))*q)\/q)*q\/(((q\/(q\/((q*q**(-3\/5))\/q*q)))\/q)\/q)*(q**(1\/5)*q**(-2))**(-45) assuming q is positive.\nAnswer: q**(23043\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) -1\/2  (c) 0.5  (d) 5  (e) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 32. Suppose -4*o = -2*m + f, 5*m + 4*o - 9 = 29. Calculate the remainder when m is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*a + 15*a**5 + 14*a + 0 + 0 - a**5 + 2*a**5 - 1 + 1 + 2*a**5 + 0 + 0 + (-3 + 3 - a**4)*(a - a + a).\nAnswer: 17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4835.\nAnswer: 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*(p**(-22)*p*p*p)\/p*p**(8\/9)\/p assuming p is positive.\nAnswer: p**(-172\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 10*s**2 + 18*s - 18. Let d be i(8). Let t = 6 - 4. Suppose -5*c = 7 - t. Is c at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 954*v. Let r(z) = -46*z**2 + 3. Calculate r(h(f)).\nAnswer: -41865336*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21 by -27.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 10) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22999775.\nAnswer: 5, 673, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.08 - -1.08057. What is q rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1550591, 3101181, 4651771, 6202361, 7752951?\n\"Answer: 1550590*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 not equal to 11\/79900250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -5*d**2 + 7*d. Let b(g) = 3*g**2 - 4*g. Let f(k) = 7*b(k) + 4*x(k). Let a(l) be the first derivative of 37*l**2 - l - 942. Give a(f(v)).\nAnswer: 74*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 46431 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2*t + 475. Let s(o) = -8*o + 3. What is m(s(p))?\nAnswer: -16*p + 481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -394367771 - 0.5.\nAnswer: -394367771.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15536 and 815640.\nAnswer: 1631280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/5 + 6671447*p**2\/5 + 2225408252255*p - 6676236765375.\nAnswer: (p - 3)*(p + 3335725)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 13538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3618, -3635, -3654, -3669, -3674, -3663?\nAnswer: -3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-14))\/((-131)\/131).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*f - 177*f - 198*f + 122 - 5 - 191*f.\nAnswer: -523*f + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(17) + 1)*-2*3 + -1 + sqrt(1088) + 4*(sqrt(17) + sqrt(612))**2.\nAnswer: 2*sqrt(17) + 3325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 25 - 15 = m, 28*w = -6*m + 4*m - 100 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/1*(-814)\/(-2849).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 9181 - 2574 = -5*a, 0 = -3*a - 2*k + 7051. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) -3\/7  (b) -2\/3  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -4*m + 4*w - 7, -2*m - 2*w = -2. Let t(v) = 7*v - v**2 - 7 - 2 + 3. Give t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 120320 and 16?\nAnswer: 120320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -242355 + -192465. Round n to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 - m + 1. Let f(a) = 3*a**2 - a + 2. Suppose -2*o = -3*i + 12, 0*o = 4*o - i + 4. Let k = o + -2. Let p(t) = k*x(t) + f(t). Factor p(b).\nAnswer: b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + 0\/4 - 0) + 4. Let v be 2209\/329 + 2*1\/7. Sort -3, v, m in descending order.\nAnswer: v, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1688\/(-416)*-4 - (11 - 9)*8?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 + 0*t**2 + 4*t**2)*(13*t - 22*t + 15*t)*(2*t - 5*t + 4*t).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -476000 = -4*h - 191868. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, t: 3, f: 1, i: 1, n: 1}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 - 5 = -5*j + x, 4*x = -3*j + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2840110 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v + 7. Is 10 a factor of y(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 4 = m, 0 = -4*g + 6*g. Suppose 5*r = 5*s + 100, -3*r - 2*r + 105 = -m*s. Let o = r - 17. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -1009558*l**2. Let d(c) = -10*c**2 + 2. Determine d(a(p)).\nAnswer: -10192073553640*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -46*a + 36*a + 100. Suppose 0 = a*q - 234 - 16. Calculate the remainder when 91 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 3*c - 2*z - 9, 3*c = 5*z + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16)\/6*(9 + 357\/(-34)). Let z = 0.05 + -0.15. Which is the second biggest value?  (a) z  (b) p  (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*s - 5*s - 28. Let x(p) = -p + 2. What is x(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.8 + -0.65. Let w = 0.1 - j. Let d = w - -2.05. Which is the second smallest value?  (a) 3  (b) 5\/4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(2 - (-54)\/(-28)). Let x = 31 - b. Let z be 17 + 1\/(3\/(-6)). What is the highest common divisor of x and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 52\/46 + 1 - (3 + -2) and 36\/7.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-132)\/10 - -3 - (7 - 15)\/40?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 - 18. Let s = -4 + u. What is the second derivative of 3*j - 6*j + 6*j**4 + 4*j**4 + s*j wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195*l - 195*l + 18111210 - 18111210 - 44*l**2.\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98483*d**2 - 98476*d**2 + 196896*d**2 - 2*d.\nAnswer: -63*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 5*x + 238. Let c(l) = 3*l + 136. Let k(w) = -7*c(w) + 4*y(w). Let t(p) = p - 1171. Calculate k(t(n)).\nAnswer: -n + 1171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1899*h + 3597*h + 3397*h + 455858 = -27*h for h.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(5820\/(-4870)) - (38 + -33).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 3*c + 1, -2*t - 3*c = 2*c + 1. Let l(r) = 5*r**t - 5*r**2 + 2*r**2. Let p(q) be the second derivative of -q**4\/12 - 2*q. Give l(p(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 4*b**2 + 0*b**2 - 5*b**2. Let o(u) be the third derivative of 16*u**2 + 0*u**4 + 0 + 0*u**3 + 11\/60*u**5 + 0*u. Calculate o(f(q)).\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 15, 414 = 2*m + 2*z - 0*z. Suppose -6*r + 9 = -5*r. Suppose 5*j = r*j - m. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 37, 36, 37, 40, 45, 52, 61?\n\"Answer: a**2 - 4*a + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((68\/5)\/(-4))\/(231\/1155)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -242443968 not equal to -242443970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or -0.0298?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 10:22 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 541 + 550. Solve o*r = -5*i - 15, -2*i + 7*i - 10 = 2*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 + 11*m + 32. Let o be t(-4). Suppose 2 - 5 = -3*x. Let s(y) = -2 + y + 4*y - o*y - x. Determine s(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1770710417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -302 + 303. Suppose -f + 23 = 11*v. Solve -8*u + 10*u + v = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + b**4)*(4 - 4 - 2 + (-1 + 1 + 2)*(1 - 1 - 2)).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w + 0*w + 0*w + (0 - 3 + 4)*(2*w - 5*w + 2*w) - 6*w - 29*w + 3*w.\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k. Let b(x) = -34735901*x + 1. Calculate d(b(j)).\nAnswer: -34735901*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -28, 31, 2, -3, 0, -2 in decreasing order.\nAnswer: 31, 5, 2, 0, -2, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1563630a4 - -4?\nAnswer: -1563630a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l**3 + 16158*l**2 + 3*l**3 - 16158*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2313413 times 6?\nAnswer: -13880478","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let l = 9499 - 3786. Let w = 1881 + l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*a**3 + 208*a + 206*a + 206*a + 76*a**2 + 205*a - 822*a to q*a**3 + x*a + m + z*a**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/11121 and -71\/20220?\nAnswer: 222420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*g + 95 + g**2 + 77 - 173 + g**3 - 22*g**4 to a*g**3 + w*g + x*g**2 + u*g**4 + r and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -89*h - h**3 + 89*h - 2 - 4*h**4 in the form m*h**4 + g*h**3 + z + k*h**2 + y*h and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + m - 16 = 0, -3*f - 4*m + 4 = -8. Let h(x) = 3*x**2 - f*x**2 + 5*x**2. Let u(b) = b**2. Calculate h(u(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + c + 3*c + 7 = 0, c = 5*n + 4. Let v = -26 + n. Let w = 31 - v. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 819*h + 209*h + 0 - 5 + 3 + 323*h.\nAnswer: 1351*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 11\/3  (b) -3  (c) -3\/5  (d) -73  (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 23*u - 121 = 0, -4*a - 10*u + 7*u = -9 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -21 + (4 - 19 - (14 + -33))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1462513492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a + 1a?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l. Let o(i) = -4*i - 3. Determine 2*k(u) - o(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of (-414)\/(-4) + (-3)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, a: 1, x: 2, m: 1, h: 5}. Give prob of sequence hax.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 66 - 22 - (444 - 306).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k - 31. Give c(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8818 + 19505. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8468198.8 to the nearest ten thousand.\nAnswer: 8470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddwvlvqdddddwdwdd. What is prob of sequence wddd?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 467?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 + 10*o + 8. Let r be c(10). Suppose 972 = 10*h - r*h. Let p be h\/(-4)*(7 + -9). What is the greatest common factor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 5*g + 4*s, 3*g - 24 = -2*s - s. Suppose 0 = -g*o + 2*o + 132. Suppose 2*h - 35 - o = 0. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -226*c**4*w**2 - 4*c**4*w + 38*c**2*w**2 + 3*c**2*w + c**2 wrt c?\nAnswer: -5424*c*w**2 - 96*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 - 2*v**2 + 3*v**2)*(v - 2*v - 2*v) + 5*v**3 + 0*v**3 + v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4908366*x**6 + 20*x**5 - 823771428*x**2.\nAnswer: 589003920*x**3 + 1200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 2, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, i: 10, b: 2, j: 1}. Give prob of picking 1 n and 1 i.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*q + 30 + 15 = -2*v - 174*q, 2*q + 20 = -3*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 46 + -43. Suppose -2*s + 16 = y, 0 = y + 5*s - 14 - 11. Let l(g) = -g**2 + 3*g + 2. Let h be l(3). Solve -h*i - y = t*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 + -12. Suppose -l*o - j - 41 = 0, -2*o = j + 4*j + 49. Let d be 1 - 0 - (-10)\/o. Is 3 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.122133 to three dps.\nAnswer: 0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 15, -2 + 29 = k + 5*x. Let f(d) = -2 - 9 - 7 + 21 - d**2 - d. Let u be f(2). Sort k, -2, u.\nAnswer: u, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.51 + -0.83. Let v = -0.42 - g. Let b = -2 - v. What is the closest to b in -0.1, 5, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b**4 + b + 46 + b**3 - 2*b**3 - 48 + 2*b**2 to j*b**3 + d + x*b**2 + s*b + y*b**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/2965 - -5776\/228305. Which is the second smallest value?  (a) 2  (b) z  (c) -0.5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*v + 17*v - 396 = -5*x, -4*v = 3*x - 242. Solve 8*f = x - 46 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -93.43 - -96.43. Sort -8, -31, y, -1, -0.4.\nAnswer: -31, -8, -1, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 8368, 8365, 8362, 8359?\n\"Answer: -3*i + 8371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -204030 - -6544030. What is c rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105 = -5*g + 8*m, 36*m - 35*m = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 271840 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 98\/8 - 6\/(-8). Which is the nearest to -1\/2?  (a) -1\/5  (b) w  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -1825*u**2 + 2*u - 4. Let b be w(2). Round b to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 473 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a + 3*a + 0*a)*(457 - 246 + 428).\nAnswer: -1278*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -129*p - 1376. Calculate v(-10).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (-4 - (2 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 272*f + 9. Does 22 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -120  (b) 1  (c) -72  (d) -0.2  (e) -7  (f) 3  (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -78140 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cvfjcccczfjzzvfzzz. Give prob of picking 2 j.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14\/1551 + -74015\/9306. Let h be ((16\/6)\/1)\/((-1)\/6). What is the common denominator of ((-10)\/(-575))\/(h\/380) and y?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 + 11*h - 9. What is m(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 39, -10, -44887, 5 in descending order.\nAnswer: 39, 5, 0, -10, -44887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**6\/(y\/(y*y**(-3\/2))*y))\/(y**(-1))**41)\/((y**(-1\/6)*(y**(-1\/3)\/y)\/y)\/(y**1\/y)**(6\/7)) assuming y is positive.\nAnswer: y**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -11) + -14 - (-6 + 0 - (0 - -109))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/(-1)*4890\/(-4075).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 2:05 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5673 - -5663. What is the third smallest value in q, -1\/3, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4516756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39 + 54 - 32) + 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 28.838 + -29. Round r to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -31, -116, -243, -400, -575, -756?\n\"Answer: 2*y**3 - 33*y**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 151 (base 6) to base 10\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1640816564?\nAnswer: 2, 410204141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of w**6\/120 + 17*w**5\/10 - 5*w**4\/8 - 45*w**2. What is the second derivative of k(q) wrt q?\nAnswer: 6*q + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 0.11  (c) -79  (d) 30  (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g**2. Let u(l) = 3*l**2 - 197*l + 142*l - 9*l**2 + 10*l**2. Determine u(c(i)).\nAnswer: 16*i**4 - 110*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-44)\/48*-51 - 370\/(-296). Solve d*m = 84 - 180 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lnqqnslqmqmnmm. What is prob of picking 1 l and 1 n?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2113.71973 rounded to the nearest 10?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5852, 11694, 17536, 23378, 29220?\nAnswer: 35062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*l - 4156 + 3988 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 68e0 (base 16) in base 10?\nAnswer: 26848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 - -1 - (2 - 3 - (-157 - -149))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3374611 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 5381448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5795 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -530168, -530159, -530142, -530117, -530084?\n\"Answer: 4*c**2 - 3*c - 530169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/14 + (-57)\/(-21). Let a(f) = -8*f**2 + 2*f - 10. Let y(t) = -25*t**2 + 5*t - 28. Let r(b) = 8*a(b) - 3*y(b). What are the prime factors of r(m)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*23\/1*(-29 - -40 - 12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/6 + (-704)\/(-33) + -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 371795551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -110 + 969. Let d = -859.399 + i. Round d to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express h + 305*h**2 + 2 - 7*h**3 - 305*h**2 as d + j*h**2 + q*h + s*h**3 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -23877 divided by -1\nAnswer: 23877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ajahjhaajaaah. What is prob of picking 1 a and 2 h?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 54*v + 39*v - 58*v + 46*v - 3*v**2 + 87*v.\nAnswer: -3*v*(v - 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of c**5\/60 - 5*c**4\/24 + c**3 + 5*c**2\/2 + 3. Let h(z) be the second derivative of u(z). Is 10 a factor of h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -42728.5 to the nearest 100.\nAnswer: -42700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/21 - 19\/7. Let r(k) = 2*k**3 + 2*k**2 - 3*k - 3. Let l be r(-2). Put x, 4, l in increasing order.\nAnswer: l, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2240 - -4037. Calculate the remainder when n is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4*i + 118 = 0, 46 = 18*u - 17*u - 2*i. Solve -2*g + u = 36 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.4 and 0.3.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1716 and 780.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**1)**(6\/19)*y**3*y\/(y*y\/y**(-4))*y)**(2\/15) assuming y is positive.\nAnswer: y**(-26\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-37)\/50)\/(42\/(-35)) and (3 + -2)*483\/(-140).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 3*q**2 - 7*q - 1. Let s(r) = r**2 - 9*r - 5. Let o be s(7). Let d = o + 39. What is the smallest common multiple of y(5) and d?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -447*r**2 + 212*r + 6. Let y(o) = -448*o**2 + 211*o + 5. Let k(d) = -5*y(d) + 4*z(d). Find the second derivative of k(x) wrt x.\nAnswer: 904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 4  (b) -0.11  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (1 - (-5 - 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -3*v + 25. Factor 3*n**2 + 5*n + 0*n - v*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 16*r - 26. Let p = -12 - 2. Let l be k(p). Solve 1 = -2*y + y - 5*c, -4*c + 2 = -l*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 23 = -5*w, -2*w + 1 + 5 = -3*a. Is (2 - 1)*w - -80 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.3 + 0. Let h = 431 - 427.43. Let n = 3.07 - h. What is the second biggest value in b, 0.4, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46 - (1 + -28 + (-512 - -526))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/66 and 32\/165?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -420*g + 363*g + 4617 = 0. Solve -62*p = -g*p - 114 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(r\/((r\/(r**(-18)*r)*r)\/r))*r)\/r**(5\/3) assuming r is positive.\nAnswer: r**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -5*l**3 + 3*l**2 - 3*l + 1. Determine s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 288618 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + b + 3)*(-2*b - 3*b + 4*b) + 0*b**2 + 0*b**2 - 2*b**2 + 10*b**2 - 1594*b + 1594*b.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 - 6*a**2 - 5*a - 14. Let d be l(7). Let n = -15 - d. Put -4, -3, n in decreasing order.\nAnswer: -3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 7*t + 5. Let c be u(7). Suppose -115 = -c*s + 25. Let n(d) = -2*d + 4. What is the remainder when s is divided by n(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 9) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -53 + 3. Let s = -58 - d. Let n = 7 - s. Solve 4 + 12 = 5*o - 4*y, -4*o + n = -y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34*a - 17*a + 0 + 2*a**2 - 2 to y + n*a + l*a**2 and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 + 6*a - 7. Let f be j(6). Let i be (-30)\/(-56) - (-2)\/f. Let v = -14.6 + 9.6. What is the third biggest value in 2, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 145 + -144.714. Let q = h - 0.16. Let f = q + 6.974. What is f rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-9)\/(-4))\/((-5)\/(-20)). Suppose 0 = d + 2*d - w. What is the second derivative of 0*a + 6*a - a + d*a**2 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17654 and 15520?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -14*t**2 - 906*t + 217. What is y(-65)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 3 + 5*w + 7 - 6*w. Let z(s) = -1. Let h be (-5 - -6)*3\/1. Suppose 4*u - 6 = h*l - 28, 4*l = 3*u + 20. Give l*o(k) + 18*z(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8745.84ml?\nAnswer: 8.74584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away -2897379071331?\nAnswer: 2897379071331.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14\/(-42)*-312)\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 49070873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1102 + -2101100224?\nAnswer: -2101044122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 8 = 2*l, 6 = 2*p - l. Find the third derivative of -b**5 + b**p + 2*b**5 - 2*b**2 wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6962449 + -1062449. What is l rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-30)*(-40)\/4*133\/(43624\/(-13038)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, q: 2, d: 3, f: 6, z: 2, v: 2}. What is prob of sequence vq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 6930305933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 169949*o + 5. Let g(l) = -169948*l - 4. Let r(k) = -2*g(k) - 3*h(k). Let y be r(-5). Suppose y = -2*d - 5350252. Round d to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 1434 - 711 - 712 - s**2 - 14*s. Calculate g(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, -12, -2, 2, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 20.8 from 7816.\nAnswer: 7795.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-12*1)*-12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*g - g + 0*g)*(0*g + 5*g - 2*g) - 6*g**2 + 5*g**2 - 17*g**2)*(31*g**2 - 58*g**2 + 29*g**2).\nAnswer: -42*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000006834885 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 15178093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + (-1826)\/581)*11?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of -21*x**5\/20 + x**4\/24 + 2*x**3\/3 - 3*x**2. Let a(d) be the first derivative of z(d). Is a(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -3*w**2\/2 + w - 303. Let p(z) = -6*z + 2. What is 6*p(a) - 11*r(a)?\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b*b**(-3)))\/b*b*b*b*(b*b*b**(-2\/7))\/b)\/(b*b**4*b*b**2*b))\/((b\/b**(-1))**1*b**(-2\/5)\/(b\/b**(2\/7))) assuming b is positive.\nAnswer: b**(-146\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.29422 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 6370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w - 4. Let l be j(7). Suppose 24 = l*r + 18. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 699*g**5\/5 + 7829*g**4 + 250997*g**3\/5 + 556763*g**2\/5 + 411808*g\/5 + 588\/5 = 0.\nAnswer: -49, -3, -2, -1\/699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-21 - -10 - (-4 + -2)) - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30741 or -37?\nAnswer: -30741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**5\/n)\/n)**8*(n\/((n**(-2\/15)\/n)\/n))**8 assuming n is positive.\nAnswer: n**(736\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 smaller than -2817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -41\/3, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -2593652342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 51\/329510?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448) - (sqrt(2448) - -3*(sqrt(2448) - (sqrt(2448) + 1)) - sqrt(2448)))**2 + -3 + 3 + sqrt(2448) - 5*(-3 + 3*sqrt(2448) + -1)**2.\nAnswer: -107783 + 1524*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 275.2 + -275. Let u = -2.4 - -2. Let l = u - -0.4. Which is the closest to 2?  (a) j  (b) l  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -w - 204, 3*w + 211 = 4*v + 50. Find the third derivative of v*s - 41*s + s**3 - 3*s**2 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24.91 - -25.91. Put l, 2, 3\/7, -0.032 in decreasing order.\nAnswer: 2, l, 3\/7, -0.032","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -6*v. Let t(o) be the third derivative of 109*o**4\/24 - 603*o**2. What is t(a(j))?\nAnswer: -654*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*m - 792 = -733 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1058 by 1058.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 1, -15, -47, -101, -183?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.05?  (a) -0.278  (b) -5  (c) -6  (d) 0.5  (e) 2  (f) 269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -90525235 - 45.9.\nAnswer: -90525280.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0778?  (a) -2  (b) 2  (c) 0.0353\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 4*c - 145. Let i = c + 6. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1932 + 1932 - 97*b**2)*(-b - 5*b + 5*b)*(2*b + 9*b + 4*b)*(4 - 2 - 4).\nAnswer: -2910*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.1635232 minutes to hours.\nAnswer: 0.03605872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m = 11*m + 12. Let y(x) = 14*x + 5. List the prime factors of y(m).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -4*r + r + 18, 3*f + 5*r - 38 = 0. Calculate the highest common divisor of 18 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5431*c + 9820*c - 5226*c)*(-4 - c + 4) as x*c + b*c**2 + z and give b.\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 10136, 10137, 10138?\n\"Answer: j + 10135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 19*k + 126. Is (-747)\/k + 55\/(-22) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 49*u**2 - 16*u + 4. Suppose -132 = 41*x + 3*x. Let z be v(x). Calculate the greatest common factor of 58 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16902 + -6300. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 5*f - 29. Let a be v(21). Let n = a - 74. Suppose 3*c + 3*d + 11025 = 0, 2*c + 14740 = -n*c + 4*d. What is c rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 75, 272, 587, 1008, 1523, 2120, 2787?\n\"Answer: -2*j**3 + 71*j**2 - 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -708.2 - -708. Let a = -0.2 - -0.2. Suppose 4*z - 4 = -u + 1, 2*z - 4 = 0. Sort u, c, a.\nAnswer: u, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y - 8525*y**2 - 1258 - 2*y + 2514 - 1256.\nAnswer: -8525*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.04085417099 from 46687.\nAnswer: 46687.04085417099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -26*n + 28. What is the tens digit of h(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 68*u**3\/7 + 2918772*u**2\/7 + 29524224*u\/7 + 3433040\/7 = 0. What is u?\nAnswer: -42913, -10, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 52\/7, 3.2927, -1, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (7 + 1)\/(8\/(128\/8)). Suppose -2*m - y = 32. Calculate the remainder when m\/(-36) - (0 - 325\/3) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -4*(-3 + 3 + -2 + sqrt(1331))*3 + 0)**2*2.\nAnswer: -12672*sqrt(11) + 384480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-14)\/(p\/(p*p**(-3\/4))))**(2\/19)*p\/(p*((p**(2\/9)*p)\/p)\/p)*p**(-1)\/p*(p**(2\/7))**43 assuming p is positive.\nAnswer: p**(22769\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90491, -180559, -270627, -360695, -450763, -540831?\nAnswer: -630899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -134, -3, -17, 176 in increasing order.\nAnswer: -134, -17, -3, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5380\/11, 3, 0.3, 1\/73, 5 in decreasing order.\nAnswer: 5380\/11, 5, 3, 0.3, 1\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 142910980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than -1461.6?\nAnswer: -1457.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 41 - 30. Calculate the remainder when 42 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-5 + 3 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b. Let t(m) = -11*m - 7. Determine 52*a(x) + 4*t(x).\nAnswer: 8*x - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 737 divide 396615076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + z + 0)*(-57*z + 24*z + 31*z) + z - z - 4 + 2*z - 2*z**2 + 10*z**2 + z - z.\nAnswer: 6*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*g**2*j*l**2*z**2 + g**2*j*l**2*z + 4*g**2*l**2 + j*l**2*z + 3394*j*z**2 + 2*j*z - 2*j wrt z.\nAnswer: 8*g**2*j*l**2 + 6788*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 141 - -6887a?\nAnswer: 689bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 49365910 and 6?\nAnswer: 148097730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 653378 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, -1\/9, 0.5, 0, 1\/3 in increasing order.\nAnswer: -31, -1\/9, 0, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.4 - -3.4. Let p = -0.95 + 0.56. Let w = p - 0.01. What is the smallest value in -0.5, a, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 25*a + 14*a - 150 - 11*a. What is the tens digit of i(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and 178885359483.\nAnswer: 178885359487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-81)\/45*(((-256)\/12 - -7) + -4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + v + 2. Let l be k(-2). Suppose -4*a + 29 - 9 = -5*o, -a + l*o = -5. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t = 6*t + 36. Suppose -3*h - t = 0, -5*o + 192 = h - 5*h. Suppose -4*x + 7*i - 4*i = -57, 4*i + o = 2*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-48)\/(-128))\/(1\/(-2)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 4 = 4*v. Let q = 2759\/11 - 251. What is the biggest value in v, -1\/6, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -67371.70667 and 133?\nAnswer: 67504.70667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**2 + k**2 - k**2 + (0*k + 3*k - k)*(2*k + 1 - 1) - 1 + 6*k**2 + 1 + 3*k**2 + 3*k**2 - 5*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 + (-54 - 17) - 21?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*t**2 + 3665250*t + 671702878125 = 0. What is t?\nAnswer: -366525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 969 and -161.5?\nAnswer: 1130.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 + s**2 - s + 55. Let y be (88\/6)\/2 + (-6)\/(-9). Suppose -4*m = -y*m. Is 11 a factor of z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(1\/3)*q*q)\/q*q*q*q**30*q)\/(q**14*q**29))**(-45) assuming q is positive.\nAnswer: q**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*4*(0 + sqrt(2448)*1)**2.\nAnswer: 58752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6246493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**3\/13 - 58*y**2\/13 - 56*y\/13 = 0. Calculate y.\nAnswer: -28, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 126090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*-1*(-8 + 1). Let w be y\/4 + (-2)\/8. What is the tens digit of (24\/w - -2)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-263)\/526)\/((-8)\/(-208)))\/((-1)\/2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-5)*(-10)\/(-4). Let w = 2939 - 2916. Suppose 0 = f - u*m + 6*m - w, 5*m + 46 = 2*f. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 9 + 3 = 5*h, 12 = 3*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(6\/(-103 + -5)). Put 0, -1, 5, f in increasing order.\nAnswer: -1, 0, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.7629532 days?\nAnswer: 65919156480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*h = -321 + 379. Sort -9, 3, h in descending order.\nAnswer: 3, h, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 - 8*h - 2. Let g = -24 + 17. Let n be f(g). Suppose -n = -2*q - 15. Put q, 0, 0.1 in descending order.\nAnswer: 0.1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 29b4?\nAnswer: -29b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 259116 is divided by 398.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 8:50 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3959396097?\nAnswer: 3, 43, 30692993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105 and 540?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of 1\/6*y**3 + 0*y - 133*y**2 - 1\/12*y**4 + 0 - 7\/15*y**5. Give v(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5307, 22006, 50105, 89604, 140503, 202802?\n\"Answer: 5700*q**2 - 401*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1470 less than -1468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 25*s**2 + 46*s + 3. Let w be m(-23). Solve -4*r - 13 = w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -119, -383, -791, -1343?\nAnswer: -2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 7) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16 - -9) + (1 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11)*1 + 3 + sqrt(11))**2 + -5 - -1*(sqrt(11) - (sqrt(99)\/sqrt(3))\/sqrt(3)).\nAnswer: 12*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 - 6. Solve -3*j + n = -6*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - 3*k + 2. Let m be p(-3). Suppose 2*w = -2*t + 2, -4*w + 2*t = 7*t - m. Find the second derivative of -4*f**w - 3*f**4 + 4*f**3 - 2*f wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 108 + -104. Which is the third biggest value?  (a) s  (b) -5\/3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2285\/10161 - -3\/1129. What is the biggest value in -98, 1\/6, m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 34*q - 150. Let h be i(8). Let z = 128 - h. What is the lowest common multiple of 153 and z?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -99567.\nAnswer: -5\/99567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 + 5*t - 4. Let l be (-6)\/((-2)\/3*3). Let i be w(l). Suppose 0 = -0*s - i*s + 92. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3 + 0.2. Let s = 5 - 6. Let f = -5 - -5. What is the closest to j in 3\/4, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 116 - 116. Suppose y*l - 29 = -2*c - 5*l, 5*c = 3*l + 57. Let o(a) = a - 9. What is o(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 * -3.45\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 5*x = 69, 18 = s + 4*x - 12. Suppose 0 = 4*y + 5*d - 31, 2*y - 5 - s = -5*d. Solve -5*k - 4*u + 13 = 0, -3*k - u = y*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 30384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 214, 745, 1780, 3487, 6034, 9589?\nAnswer: 14320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241250459?\nAnswer: 241250459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**0)**(-2\/75)*(w*w**26)**(-10) assuming w is positive.\nAnswer: w**(-20252\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 12*v + 28. Let i be u(-2). Solve -8*r + i*r = 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 110 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6971 - 3011. Calculate the lowest common multiple of 10 and d.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 26*m**4 - 1585*m**3 + 2929*m**2 + 4717*m + 177 = 0?\nAnswer: -1, -1\/26, 3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 277*h - 555. Calculate c(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((18\/(-15))\/(-3))\/((-64)\/400). Which is the closest to 0?  (a) 2\/9  (b) g  (c) 4  (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*q**3 - 85*q**4 - 7 - 2*q**2 - 2*q**2 - 37*q**4 + 119*q**4 in the form k*q**3 + n*q**4 + p*q**2 + o*q + d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = -k. Suppose -5*j + 0*h - 20 = -5*h, 4*h = -5*j - 11. Let t be ((-9)\/k)\/j*-12. Solve t*y - 2*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 232324*z**2 - 222925000*z + 53476562500.\nAnswer: 4*(241*z - 115625)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -348*l**3 - 8*l**2 - 4*l. Let h be z(-7). What is h rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165*p + p**2 - 167*p + 100*p + 232*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - v = 1, -3*v + v - 79 = 33*i + 2*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 0, -108*u = -5*g - 110*u - 20. Put -15, 1, 30, g in decreasing order.\nAnswer: 30, 1, g, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -11.39, 1, 35518?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -3*k**3 + k**2 - 6*k + 4. Find the common denominator of i(2) and 388\/288 + (-4)\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**4 - 30*h**3 - 135*h**2 + 810*h - 648 = 0. What is h?\nAnswer: -6, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 23 - (-4)\/((-16)\/(-12)). Solve 3*n + 4*b + 5 = -3, 0 = 4*n - 2*b - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 5*j + 35 = 0, 2*h + 17 = 4*j + 1. Calculate the remainder when (h + -1)*(-65)\/(-5) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 78*s**2 + 4*s + 227. Is z(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 - n - 2. Suppose 3*o - 7*o = 88. Let t = o + 25. Let f(j) = 0*j - t + 5 - 3*j**2 - 9 - 3*j. Determine 2*f(s) - 7*p(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/6 - 624\/(-36). Suppose -2*q = 3*q - 5*f - 60, -q - 4*f + 37 = 0. What is the greatest common factor of q and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 70599514 to the nearest integer?\nAnswer: 8402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 3*h**3 - 4*h**2 + 6*h + 1. Let p be l(3). Suppose -8*c + 4*c = -p. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of 3*c**2 + 70*c + 204. Let l be x(-11). Solve 3*a - 11 = -l*h, -7*h + 3*a - 20 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 = -3*x + 119. What is the greatest common factor of x and 1922?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27600 and 11040.\nAnswer: 55200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/5 - 20447412*g\/5 - 4089482.\nAnswer: -2*(g + 1)*(g + 10223705)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -57*10\/(-15) + -3. Solve -5*n = -a + 29, 5*a - z = -0*a + 3*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g = 416 + 1001. What is the remainder when g is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -279  (b) 1\/13  (c) 12  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -55*v**4 - 7544*v + 7544*v + 5*v**5 - 105*v**2 + 155*v**3 = 0.\nAnswer: 0, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 866089397?\nAnswer: 866089397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-70))\/(36\/42)*(-11124)\/18.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 20830\/(-180) - 2\/18. Let g = 130 + n. What is the common denominator of g and -40\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of -p**6\/120 - p**5\/10 + 11*p**4\/24 + 5*p**3\/3 + 53*p**2. Determine q(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -5*h**3. Suppose 3*k = -s + 4, -2 = -4*k + 2*s - 0. Let j be 1*-3*k + 2. Let o be j - (-1 + 1) - 0. Calculate a(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4658*x**2 + 2746?\nAnswer: -9316*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 319406380?\nAnswer: 2, 5, 15970319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 2*v = -70, -2*d - 4*v = -v + 95. Suppose 4*c - 20 = 0, 2*t + 5*c + 1 - 6 = 0. Calculate the common denominator of 101\/10 and 64\/d*t\/(-14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kdgttkkddttkdvdt. Give prob of picking 2 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 657*j - 60*j = 26268 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25502 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/4 of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 39*v**2 + 51*v + 1. Let l be g(3). Which is smaller: 506 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r**2 - 13042*r + 2952117. Give h(219).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 9 = -5*k - 11, -r = -k - 6. Suppose -2*h + 278 = c, 0 = c + r*h - 230 - 45. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*q*u**3 + 4574*q*u - 3931*q + 3*u**3 + 2 with respect to u.\nAnswer: 6*q*u**2 + 4574*q + 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 400, 396, 382, 352, 300, 220, 106?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b**3 - 1 + 1)*(7 - 7 - 4*b)*(-1 + 3*b + 1)*(-4 + 9 + 0).\nAnswer: -300*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -133*p**2 + 900*p + 16 + 39*p**2 - 115*p**2 - 17*p**2.\nAnswer: -2*(p - 4)*(113*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16746 * 24.\nAnswer: 401904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44 (base 10) to base 12.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 969*b + 20335. What is s(-21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -4500*d**3 - 75*d**2 + 84*d + 430. Let v(q) = 1125*q**3 + 18*q**2 - 20*q - 107. Let x(r) = 21*v(r) + 5*y(r). Find the third derivative of x(t) wrt t.\nAnswer: 6750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 117551422 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/240 and 19\/29016?\nAnswer: 290160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3192\/84*(374\/4 + 2)?\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6557*d**5 - 103*d + 26 wrt d?\nAnswer: -131140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of -173*t**4\/4 + 1001*t**3\/6 - 32*t - 17. What is the second derivative of p(g) wrt g?\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 9 = 0, 45 = -4*l + l + 3*m. Let h(x) = x**2 - 2*x - 5. What is the remainder when 4\/8*l\/(-3) is divided by h(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -560875 or -560872?\nAnswer: -560872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -21436156*i. Let a(y) = -2*y**2. Calculate a(u(t)).\nAnswer: -919017568112672*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000541990282 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -6*l**2\/7 - 13736*l\/7 + 9160\/7 = 0.\nAnswer: -2290, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9013*z**5 - 13*z**4 - 10*z + 2121 wrt z.\nAnswer: 180260*z**3 - 156*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 + 141*h**2 + 1070*h + 794. Calculate p(-133).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**3 + 2*m**3 - 3*m**3 + 5*m**3 - 4*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2254587.\nAnswer: 3, 751529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((4 + (-1*sqrt(176) - sqrt(176)) - (-4 + -1 + sqrt(176))) + -1 + 0)**2*6.\nAnswer: -1152*sqrt(11) + 9888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 555, 1108, 1661, 2214, 2767?\nAnswer: 3320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (14\/(-8))\/((-11)\/(-12) + -1). Let d(a) = -a + 3*a + h - 21. Let w(c) = -15*c. What is d(w(x))?\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 2*y - 910, -y + 332 + 1176 = 5*o. Suppose 12*i + o = 13*i. Suppose -7*a + i + 307 = 0. Calculate the remainder when a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 - -22. Suppose 0*u = -4*r - 5*u + 223, -5*u - 335 = -v*r. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72019 is divided by 23957?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -3*v**2 - 20*v - 5. Let n be i(-11). Let u = -100 - n. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.05, 3, 8, -13.96, -1\/6 in descending order.\nAnswer: 8, 3, -0.05, -1\/6, -13.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254244 is divided by 3631?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 + -9426355496\nAnswer: -9426355496.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (14*n - 15*n - 7*n - 1)*(-2 + 0 - 2) as m*n + q and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p\/p**22)\/p)\/p*p\/(p**(-11)\/p)*p assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 - 2*x**2 + 2*x - 1. Let y be r(-3). Suppose -3*g = 5*f - 2, g + 4*f = -2 - y. Let h be (1 + 1)\/(4\/18). Solve g*o - o = -h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 plus -5.866?\nAnswer: 23.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = u - 5, 146*q - 5*u = 148*q + 26 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 7*y**5 - 2*y**4 - 2*y**3 + 2*y**2 + 5. Let h(p) = 8*p**5 - 2*p**4 - 2*p**3 + 2*p**2 + 6. Let s(u) = 5*h(u) - 6*j(u). Factor s(z).\nAnswer: -2*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 89.43 - 89. Let y = -18.57 - n. Let s = y + 18.965. Round s to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/4, -2\/19, 1\/6, -1.6, 5 in ascending order.\nAnswer: -1.6, -5\/4, -2\/19, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 + 8. Let l = 138.27 - 137. Let p = 2.27 - l. Sort 0, n, p in descending order.\nAnswer: p, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 383263 is divided by 228.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of -w**4\/5 + 32*w**2\/5 - 2809. Let j(c) = 0. Calculate c.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.05784721263 to 5 decimal places.\nAnswer: -0.05785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -162*a + 151*a = -13167. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8233 - 8173. What is the greatest common factor of k and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 8) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 42502 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -84*o**3 + 35*o. Suppose 0 = -65*b + 69*b - 280. Let s(j) = -7*j**3 + 3*j. Calculate b*s(q) - 6*f(q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.012 - 2.912. Let d = -1.1 + q. Let j = -1.7 + -3.3. What is the second smallest value in 5, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.865568501 to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 - -1. Suppose -r*d = -25 - 23. Solve -d*h + 4 = 4*k + 16, -3*k - 5*h = 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 520\/4387?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 - v + 2. Let d be p(-2). Let y be (12 + d)*1\/3. Solve -4*q + y*h + 4 = 0, 0 = q + h - 4*h + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.5 and -8842107331720.\nAnswer: -8842107331719.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 984*s**3 - 181*s**3 + 220*s**3 - 12088 + 6047 + 6041.\nAnswer: 1023*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -n**3\/3 + n**2\/2 + 3*n + 5. Let m be p(0). Let b(h) = m*h - 27 + 27. Let r(d) = -2*d**2. Determine b(r(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 4*q + 15. Find the second derivative of 3*l**q + 0*l - l + 0*l**4 + 0*l**4 wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -701?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 15) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = -72 + 27 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -5643505368 + -0.04\nAnswer: -5643505368.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -8. Suppose -3*j + l*j = 2*f - 16, -2*j = -2*f - 32. Is 108\/j + 1\/4 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 10 - 6*z**2)*(z - 3*z + 4*z + 0 - z + 0 + (-1 + 2 + 0)*(209 - 209 - 23*z)).\nAnswer: 132*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from thhttttttntttaha. Give prob of sequence haan.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of 3*k**5\/25 + 21*k**4\/10 + 57*k**3\/5 + 114*k**2\/5 + 96*k\/5 + 499. Factor v(i).\nAnswer: 3*(i + 1)**2*(i + 4)*(i + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 - 34*b**2 + 647*b + 350. Let d be v(14). Let m(l) = -l**3 - 4*l**2 + 4*l - 3. Let s be m(-5). Solve d = s*n + 9 - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 10\/1 - (-23256)\/(-2964)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/(-32) + (-20)\/50 and -17\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.49606779 rounded to three decimal places?\nAnswer: 2.496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, i: 1, x: 2, t: 1}. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1386687873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 83739804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 89700012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 41 - 47. Factor -771*w + 1515*w - o*w**2 - 780*w.\nAnswer: -3*w*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*t**4 + 1239*t**3 + t**2 - 2*t - 766?\nAnswer: -72*t + 7434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 6*q**2 - q - 1. Let y be l(-1). Solve -15 = f - y*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28.8424, -0.4, 0.04 in increasing order.\nAnswer: -28.8424, -0.4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 11:33 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.514 in -3\/2, 6, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -27*7\/14*(-12)\/(-9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*h + 14. Let s(a) = 3*a - 1. Let o be s(h). Let m(r) = -r + 7. Let w(q) = 1. Let l(n) = m(n) - 6*w(n). Determine l(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.05 + -2177.2029\nAnswer: -2176.1529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10.32 - -9.82. Which is the second biggest value?  (a) 2\/3  (b) 23  (c) -2\/7  (d) -4\/9  (e) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 877.8558 - 878. Let s = -0.0442 - l. Which is the nearest to -0.2?  (a) s  (b) -2  (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*o - 14*o - 12. Let d be 0*((-35)\/(-10) - o). Solve d*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10857*a**3 + 4931*a**2 wrt a?\nAnswer: -65142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64773962 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 4*i + 40 = 0, 19*l - i = 8*l - 3*i + 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-777)\/222*-6*(-4)\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3*t**2 - 2*t - 49. Calculate the remainder when 182 is divided by r(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**3 + 2*b**2 - b - 2. What are the prime factors of f(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + q + 143. Calculate the remainder when p(0) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 11:04 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 3, 0, 1786, 61, 5 in ascending order.\nAnswer: -12, 0, 3, 5, 61, 1786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1282348*s + 804*s**2 + 641185*s - 812*s**2 + 641163*s.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -12583975.56 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*o - 55 = -o - 55 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -0.42  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*h - 2*h + 8740 - 2*h - 18895 to u*h + w and give w.\nAnswer: -10155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(245)\/sqrt(7)*-4)\/(sqrt(320) - 3*1*sqrt(320) - sqrt(320)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8155000 rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 + 4*h**2 + 0*h**2)*(0*h**2 - h**2 + 2*h**2) - 8 + 22531*h**2 - 22531*h**2 + 4*h**4.\nAnswer: 6*h**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 132161616 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 PM and 8:03 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20170435 is divided by 1290.\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-751104)\/(-99756)*17\/2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11124 is divided by 11122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1995)\/(-380))\/((-3)\/16)*(-19 + (-885)\/(-60)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 11:39 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -92 - -182. Calculate the greatest common factor of q and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by -48268887\nAnswer: 2\/16089629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1988?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15809 is divided by 15799.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 756740+72846.437\nAnswer: 829586.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 4.803299 micrograms?\nAnswer: 0.000004803299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - 10. Let b(f) = -14*f**3. Let c(p) be the first derivative of 5*p**4\/4 + 12. Calculate t*c(o) - 4*b(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 - 9 = 4*t. Let a = t + -4. Suppose 3*x + 5*d - 96 = 0, -78 - 51 = -5*x + 2*d. Calculate the remainder when x is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42540 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.1 plus 271715894?\nAnswer: 271715873.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11079*f**3 + 48*f**2 - 24*f**2 - 24*f**2 - 11086*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 + 7*w - 1. Let h be p(-7). Let b be 0 - 1*(h - -3). Is -5\/3 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from bbbbhhbeebfhe.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/(-553))\/((-583)\/46057).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129815 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1185 + 225*a + 165 + 22*a**2 + 60*a + 26*a**2 - 45*a**2.\nAnswer: 3*(a + 5)*(a + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 45 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + 24 + (-15 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 5*j - 3*n - 1, 0 = 2*j + 5*n + 36. Let c = j - -25. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(-8) + (-2)\/(-4). Suppose w = 2*w - n. Suppose 4*z - 4*g - 48 = 0, 5*g + 18 = -z - 0*g. What is the smallest common multiple of w and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1666878177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -4985 bigger than -4913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 11*d + 31. Let x be q(10). Let j(b) = b**2 + 4*b - 3. Let t be j(4). Let h = t + x. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 326 + -274. What is the highest common divisor of 117 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-71)\/((-2414)\/340)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, 21, 46, 79, 120?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 194\/(-485)*(-210)\/(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**4 - 3*r**4 + 0*r**4 + (-5*r**4 - 2*r**4 + 4*r**4)*(-2 - 3 + 2) + (-r + 2 - 2)*(3*r + r**3 - 3*r).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p - 3. Let k be h(-3). Suppose y = 4*o, -6*y + y = k*o. Round o to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1502 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 + -1 - (-15 + 9)) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -3, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 131*c**2 - 7*c - 3. Is 17 a factor of k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -1, 1.02, 13, -0.5?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**3 + 2*p**2 - 4*p**2 - 1 + 0*p**3)*(-7 - 3*p**2 + 7).\nAnswer: -3*p**5 + 6*p**4 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of 2\/3*y**4 - 4\/3*y + 1\/9*y**6 - 5\/3*y**2 + 8\/15*y**5 - 4\/9*y**3 + 87. Factor k(x).\nAnswer: 2*(x - 1)*(x + 1)**3*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 5*l. Let g(p) be the first derivative of 7\/2*p**2 + 0*p - 18. Determine g(i(t)).\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/4 + 93732\/48. Suppose -863 = 11*m + q. Let t = -21 - m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(6\/11)*p**(-5\/4))**38 assuming p is positive.\nAnswer: p**(-589\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 310887, 622152, 933417, 1244682, 1555947, 1867212?\nAnswer: 2178477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d**2. Suppose 3 = -4*g + 5*y - 25, 5*g - 2 = -3*y. Let f = g + 4. Let q(u) = 2*u**f + 4*u**2 - u + u. Determine q(o(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t - 18. Determine u(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -9*h**2 + 5*h - 5. Let i be t(2). Let b = i - -33. What is the nearest to 3 in 1, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5271 - 5272) + (1 + 1 - 0) + 4 + 46?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-14) + (-4944)\/(-56). Let q = 182 - t. Suppose 0*z + z + 96 = 2*m, -2*m = -2*z - q. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8016 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/((v*v*v**(3\/5)\/v)\/v)*v)\/(v**(16\/5)*v))\/((v**(-8)*v)\/(v\/(((v\/v**(-13)*v)\/v)\/v))) assuming v is positive.\nAnswer: v**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6468*x**4 - 6860*x wrt x?\nAnswer: 77616*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - c + 4*u = -8, -5*c = -5*u - 35. Let r be 1\/c + (-198)\/(-8). Solve 3*i - v - 13 = 0, 5*i = -0*i + 5*v + r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 570*i**3 - 3*i**2 - 1220*i + 2 wrt i.\nAnswer: 3420*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**5 - r**5 - 26*r**5 + (22*r**5 - 36*r**5 + 22*r**5)*(-2 + 0 + 1) + r**5 - r**5 + r**5.\nAnswer: -34*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 445  (b) 3  (c) 11  (d) -28\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/21)\/(13167\/3234).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18798 + -482. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 25823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of -o**5\/20 - o**4\/4 + o**3\/6 + 2*o**2 - 10*o. Let y be c(-3). Let a = y - -21. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 610 = -2*m + 555, -15*m - w - 90 = 0. Let x = 1 + 3. Which is the third biggest value?  (a) -4\/3  (b) x  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + 13 + (5 - -9 - 24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - 19. Let r(z) = 74330*z**2. What is g(r(o))?\nAnswer: 5524948900*o**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 293 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.12 - 0.04. Let n = f - -5.16. Suppose -2*j = j - 9. What is the biggest value in 2\/11, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mama when four letters picked without replacement from vqmamqqqaqmq.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 31584650 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**4\/i)\/(i\/i**(-4\/3))*i**(-2\/11)\/i*i**(1\/8))\/((i*i**(-1))**(-41)\/(i*i\/(i*i*i**0))**(2\/19)) assuming i is positive.\nAnswer: i**(-103\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -312?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 149606127 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 9:09 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 29328504 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (330\/(-836))\/((-525)\/43225)?\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/2)\/1 - -11. Put -3, -4, w in decreasing order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4557  (b) 1\/13  (c) 2  (d) 3  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/2673 and 131\/19926?\nAnswer: 219186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16\/(-12)*(-3)\/2. Let f be 10\/4 + h\/(-4). Suppose -10 - 5 = -5*n. Which is smaller: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29322 * 722.\nAnswer: -21170484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 9 - 1 = 0. Let p be (-430)\/40 - (-1)\/(-4). Let r(n) = -13*n**2 + 6*n - 17. Let d(a) = 7*a**2 - 3*a + 9. Let f(s) = p*d(s) - 6*r(s). Give f(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 4*c + 3, 5*v - 3*c - 11 = 0. Let z = -0.11 + -61.89. Let l = -65 - z. What is the second smallest value in v, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - 3. Let b = -2 - q. Suppose 0 = 2*o + 3*m - 51, m = -b*o - 0*m + 107. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -25*x**2 + 2*x + 4. Let u(c) = 12*c**2 - c - 2. Let b(y) = -r(y) - 2*u(y). Let l(i) = -i**2 + 28*i. Calculate -2*b(h) - l(h).\nAnswer: -h**2 - 28*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m*m\/((m*m*m**(2\/11))\/m*m))\/m*(m\/m**5)\/m*m*m*m**2*m**6)**3 assuming m is positive.\nAnswer: m**(159\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 + -35. Let d = -29 - l. Let u be (-35)\/(-2) + 10\/d. What is the greatest common divisor of u and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vmm when three letters picked without replacement from mmmv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-91)\/(-65) + (-6)\/(-10). Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17824?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -18155.552 to the nearest 10.\nAnswer: -18160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -52*m**3 - 4*m + 4. Let t(u) = -53*u**3 - 5*u + 5. Determine 5*g(p) - 4*t(p).\nAnswer: -48*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 40.64  (c) -2935\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -2*u**2\/21 + 222490*u\/7 + 667484\/3 = 0.\nAnswer: -7, 333742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 17*k + 15. Let i be l(-5). Let j = i - -72. Solve c = -j*c + q - 11, 4*q + 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -415 (base 6) to base 5.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d**2 + 5*d + 2. Suppose 0 = 3*h - 2*g - 5, 4*g = h + 8 - 3. Let a be w(h). Calculate the remainder when 37 is divided by a\/((-5)\/15) + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 2:12 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/29 and 61\/161.\nAnswer: 4669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g = g - 270. Let o be 28\/(-21)*g\/4. Solve 0*f - 3*f = -o, -4*f = 2*j - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 406489 and 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 394455, 788909, 1183363, 1577817, 1972271, 2366725?\nAnswer: 2761179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(1700) - sqrt(1700)*2) + 4 + (4 + (sqrt(1700) - (-1 + sqrt(1700))))*-3)**2*2*-1.\nAnswer: -3738 - 520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 - 9*k - 12. Let w be 10 - 0\/((-4)\/2). Let i be d(w). List the prime factors of (4 - 1) + i + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*d - k + 6, 4 = -36*k + 38*k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -198264532*r**2 + 62090643*r.\nAnswer: -396529064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3, 44, 127, 246, 401, 592, 819?\n\"Answer: 18*j**2 - 7*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -v + 7 + 45, 42 = v + 4*p. Suppose -4*k - k = -2*y + v, -5*y = -5*k - 155. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-442)\/(-13))\/102)\/((2*-1)\/(-114))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85249.\nAnswer: 163, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -0.8, 0.08, 0.1, -1, 3634?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 28 + 12?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, x: 10, o: 6}. What is prob of sequence wxwx?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/96*(-4)\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 420 and 4368?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from utxxaxxur. Give prob of sequence xurx.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 56 = -88. Let u = -44 + b. Suppose -u*p + 28 = 4*m - 0*m, -2*p + 22 = 4*m. Calculate the greatest common factor of m and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7235.\nAnswer: 5, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 8664131 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 17 = 3*l, -3*i + 9 = 5*l - 8*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-18)*l*l)\/(l*l*l*l**(-16))*l**(-2\/25)\/(l\/(l\/l**(-11))*l*l))**(-6\/5) assuming l is positive.\nAnswer: l**(-6438\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 1:59 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -63 + 223. Suppose -3*k + s = -s - a, -k + 68 = 3*s. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -126761*t**2 + 22*t + 126777*t**2 - 22*t.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, h: 3, m: 1, z: 3, q: 3, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -333*b. Let o be (6\/4)\/((-147)\/196). Let m(r) = -7*r**2 - 3*r + 3. Let t(h) = -4*h**2 - 2*h + 2. Let k(j) = o*m(j) + 3*t(j). Determine k(y(z)).\nAnswer: 221778*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 418\/8099 - -166094867\/145782. Let k = -1139 + q. What is the common denominator of k and (2882\/(-66) - -18)*6\/(-32)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - 126?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-168502 + 168502 + 1444*h + (h + 0*h - 3*h)*(5 - 3 - 3))*(3*h - 3*h + 2*h**2).\nAnswer: 2892*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3419486*o**2 + 6228476?\nAnswer: -6838972*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.2  (b) 0.6  (c) -3  (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j**4 - 15*j**2 + 10*j = 0. What is j?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93690.\nAnswer: 2, 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -24*z + 2. Let h be t(-6). Suppose -4*x - 50 = -h. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - ((-11)\/3)\/((-14)\/42). Let v be ((-43497)\/6)\/b + (-6)\/(-4). Suppose 5*p = -4*f + v + 253, 3*p = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1876 = -4*v - 2*i, 2*v + 4*i - 1884 = -2*v. Let u = -462 + v. Solve 2 - u = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -229 <= -368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -3*k - 14. Let z be n(-8). Suppose -4*d = 2*v + z, 2*d + 18 = 5*v - 17. Suppose -3*q + q + 4 = 0, -50 = -5*x + v*q. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 622701091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -1\/20*n**5 + 0 - 2*n + 1\/3*n**3 - 2*n**2 + 1\/4*n**4. What is the units digit of j(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -183*v**3 + 6*v**3 - 113*v**3 + (v**2 + 0*v + 0*v)*(3*v - v - 3*v) + (-v - 3*v + v)*(v**2 - v**2 + 2*v**2).\nAnswer: -297*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 113759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -632, -1110, -1710, -2432, -3276, -4242, -5330?\n\"Answer: -61*x**2 - 295*x - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2073*a**3 + 1033*a**3 + 1039*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r**(-6)*r*r**(1\/7)\/r)\/(r**(1\/12)\/(r\/(r*r\/r**(-1\/4)*r))))**(-9))**(-2\/13) assuming r is positive.\nAnswer: r**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.65 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -849831903\/1340 + 634203. What is the common denominator of i and 31\/5?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -102\/11, 3, -6\/31, -1\/7 in descending order.\nAnswer: 3, -1\/7, -6\/31, -102\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2924 take away -0.1?\nAnswer: 2924.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1278252.\nAnswer: 2, 3, 35507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 20\/(-110)*3\/9. Let s = l - -32\/165. Let x = 0.06 + -5.06. Put x, 0, s in decreasing order.\nAnswer: s, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from jikzn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -12 * -168\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + 3*c**2 - 12*c - 7. Let k be a(-5). Solve 5*d = -2*i + 1, k*i - 5*d + 13 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s + 4. Let r be d(2). Solve -3*o + r = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -372411.\nAnswer: -4\/372411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 93356.98 kilometers?\nAnswer: 93356980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 96 and 1373256.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 - 26*y + 26. Let x be d(17). Let n = -124 - x. Solve 6 = n*o - s, 3*o = -o + 2*s + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, n: 1, j: 4}. Give prob of picking 1 j and 3 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1937\/267306)\/(7\/56)?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnssnnllnnslsnln. Give prob of sequence nnl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mrr when three letters picked without replacement from {m: 1, r: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together -8661 and -0.5.\nAnswer: -8661.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -11679.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16848\/168 + (-25334)\/239.\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*d - 7020 = -39*d. Let f(h) = -h**3 + 2*h**2 + h - 2. Let a be f(-2). Calculate the highest common factor of d and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/13))**(15\/7) assuming o is positive.\nAnswer: o**(30\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 - 3*l. Let n(j) = -7*j**2 - 43*j - 96. Let o(t) = -6*h(t) + n(t). Give o(-19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4214622.\nAnswer: 2, 3, 127, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7001.\nAnswer: 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41549454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 628848?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5130*b**3 - 2316*b**3 + 6*b**2 - 2269*b**3 to the form o*b**3 + z*b**2 + s*b + x and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 90200 and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 444 is divided by 113.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.3597 - -0.2597. Sort -3\/4, i, 1.97.\nAnswer: -3\/4, i, 1.97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12288 divided by 4096\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94550812.\nAnswer: 2, 331, 71413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12647922.1855 + -3497755.81509. Let m = -16145584 - z. Let w = 94 - m. Round w to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 0 - 6 - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 135352*f**2 + 405698*f\/3 - 358\/3.\nAnswer: 2*(f + 1)*(203028*f - 179)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 - 7*n**2 - 3*n + 3. Let z be a(7). Let t = -13 - z. Suppose -3*q - 2 = 3*r - t, 5*q - 5*r = -15. Which is bigger: q or -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/491 or 0?\nAnswer: -7\/491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-288)\/(-288)*52*(-9)\/45.\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*s - 4, -27*s = -5*a - 31*s - 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*l = 29 - 4, 3*z + 4*l = 51. Suppose -8*c - 2515 = -z*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-28))\/(1\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -147 divided by -192327.\nAnswer: 49\/64109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 25*u - 24 + 11*u**3 - 25*u wrt u.\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 160 + 163 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 1 = -0*c + z, -31 = -2*c + 5*z. Let n(o) = -o**2 + 3*o**3 + 4*o**3 - 6*o**c - 1 + 0*o**2 + o. What is the tens digit of n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 + s - 2. Let q(u) = -4*u**3 + 5*u**2 + 2*u - 6. Let d be ((171\/36)\/(-19))\/((-1)\/4). Let y(g) = d*q(g) - 4*r(g). What is y(2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/3  (b) -2\/17  (c) 4  (d) -0.642  (e) 0.4  (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l = -718 + 1942. Which is smaller: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -5, 13, 8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187) - 3*(sqrt(187)*2 - sqrt(187)))\/(sqrt(539)*1).\nAnswer: -2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 + 8*i + 4. Suppose 0 = 4*h - 11*h + 70. Let s(k) = k**3 - 11*k**2 + 14*k - 45. Let l be s(h). Calculate m(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18068115?\nAnswer: 3, 5, 13, 92657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/(-24)*22*(-2)\/(-5)*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2*o**2 + 4)*(-2*o**3 - 3*o + 3*o)*(39 - 28 - 20 + (2 - 5 + 2)*(1 - 3 + 0)) + (-18 - 53*o**2 + 18)*(-o**3 + 3*o**3 + 0*o**3).\nAnswer: -78*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 117.104 - -1\nAnswer: 118.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8141.\nAnswer: 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**7\/g)\/g)**(-41))**(-1\/5) assuming g is positive.\nAnswer: g**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.14?  (a) -61  (b) 2  (c) -92  (d) 0.2  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)\/sqrt(3)*5)\/(sqrt(4) - (sqrt(256) - ((sqrt(256) - sqrt(256)*2) + sqrt(256) - sqrt(256)))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 204\/15 + 4\/10. Factor 5*d**2 + 20*d - d**3 - 7*d**2 + 5*d**3 - 8 - q*d**2.\nAnswer: 4*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1211848534 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138012 divided by -2604.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 30 = -5*f - 2*f, 4*s + 474 = 454 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5934 + 5931. Let a(s) = 2*s**3 - 3*s**2 - s - 1. Let u(x) = 2*x - x**2 - 2*x. What is t*u(w) + a(w)?\nAnswer: 2*w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-456)\/380)\/(5\/(-75))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2558.\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 + g. Let h(q) = -2*q**3 - 2*q**2 + 2*q + 4. Determine -2*b(d) + h(d).\nAnswer: -2*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18.5 + 18. What is the smallest value in -4, c, -0.1, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -3*u**2 - 18*u - 7. Give h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - (40\/25)\/((-6)\/15). Suppose 9 = 2*g + 2*n - 5, j*g - 16 = 2*n. Differentiate 38*r**3 + 6 + 4 + g with respect to r.\nAnswer: 114*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -170*r**2 - 2100*r + 9963. What is g(-16)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26310?\nAnswer: 2, 3, 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*((-1)\/1 + 1). Suppose -1 = -o - 5. Let z = 84 + -87. Sort o, x, z.\nAnswer: o, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 2*c + p - 32, 3*p + 36 = 4*c. Let u(x) = -x**2 + 11*x - 8. Let t be u(6). Let l = 22 - t. Solve s + 2*s - c = l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1830315*r**2 + 4177981.\nAnswer: 3660630*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/15?  (a) -0.2  (b) -1  (c) -6  (d) -0.06  (e) -2\/11  (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 66*-2*1\/(-4). Let m(d) = d**3 - 14*d**2 - 30*d - 29. Let x be m(16). What is the greatest common divisor of x and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -25*p**3\/2 - 35730*p**2 - 2248320*p - 35768320 = 0.\nAnswer: -13972\/5, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*g**4 - 21*g**3 + 243*g + 1979027.\nAnswer: 84*g**3 - 63*g**2 + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-22)\/4)\/(3\/(-6)). Suppose -3*s = -88 - d. Let h = 6 - 3. What is the greatest common divisor of s and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 89.6 - 87. Let z = u - -63.4. Let x = 65.999999685 - z. Round x to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 5:02 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -454*d - 444*d + 952*d.\nAnswer: 54*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 + 2*v - 1. Let a be q(-2). Let p = -1 - a. Suppose -4*m = -5*s + 2*s - 9, p = 5*m - 3*s - 12. Solve 0 = -l + 4, m*r - l = -3*l - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 2*g + 1)*(0 - 7 + 3) + 0*g + g + g + 0*g - 3*g + 5*g + (-2*g - 5*g + 5*g)*(0 + 1 + 1) + 0 - g + 0 + 20*g - 10*g + 20*g)*(2 - 2 + g**3).\nAnswer: 21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.02, -0.7, -13, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + 45. Let h = l + -19. Let y = h + -12.0015. What is y rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -750 and 30.195613851.\nAnswer: -719.804386149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 4, 37568 in descending order.\nAnswer: 37568, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 10:00 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.157726584*-2.\nAnswer: 0.315453168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4062 is divided by 435?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + y + 40, -4*d + y + 40 = -15. Let c be (d\/(-12) - -1) + 189\/(-28). Is c*5\/(-35)*1*2707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 30 = -4*f, 5*x - 90*f + 50 = -85*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3115665 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 13 = -5*w, -q + 2*w + 9 - 8 = 0. Sort 12, q, 1 in descending order.\nAnswer: 12, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 AM and 12:05 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1752?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*r = -550 + 568 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 9:00 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-2\/17))**(-24\/7))**39 assuming q is positive.\nAnswer: q**(-14040\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 3 = -3*q. Let f = 3 + 1. Solve -2*d - 14 = f*a, 0 = -4*d + q*d - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 - 6*h**2 + 3*h + 2. Let s be k(5). Let t = -20 - s. Let i be 375*(t\/(-4) - -2397). Round i to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + -5. Find the second derivative of 3*h - 4*h**l - 3*h + 2*h wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 185, 380, 585, 806, 1049?\n\"Answer: c**3 - c**2 + 191*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-1 - -3) - 86. Let m = 94 + z. Let h be (4\/(-3))\/((-2)\/m). Which is the closest to 1\/7?  (a) 2\/13  (b) h  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 172959640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 2*n + 42 = 0, 78002817*s + 156 = 78002815*s + 9*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/6 + (-3)\/(-9). Suppose o*z = -2*z. Let m be 1*z*(-1)\/2. Solve -i = 5*y + 15, -y - 2*y - 9 = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -538 + 538.0313. Round q to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 3*z**2 + z - 2. Let q(k) = -7*k**2 - 3*k + 5. Let r = -6 - -8. Let b = 4 - -1. Let x(a) = b*c(a) + r*q(a). Find the second derivative of x(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39137230711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.04 - 4.04. Let s = t + 7. Let i = 5.647 + -6.647. What is the second smallest value in -1\/7, i, s?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 612\/124 - ((-100)\/(-90))\/(4\/18).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/75)*j)**(36\/7) assuming j is positive.\nAnswer: j**(876\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 + 2*a**2 + 2*a - 2. Suppose i = 4*i - 18. Let h = 8 - i. Let x(p) = 5*p**3 - 9*p**2 - 9*p + 9. Determine h*x(q) + 9*o(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1103, 4, -1807 in ascending order.\nAnswer: -1807, 4, 1103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 6*a = 6. Suppose i + 55 + 22 = r, 0 = -a*r - 5*i + 140. Suppose 2*n = r + 79. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.7261958km?\nAnswer: 726195800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*p**2 - 160*p**2 + 2 - 25*p**2 - 152*p**2.\nAnswer: -332*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 25181225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1*30*12\/30*(-4)\/(-3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102 = 26*b - 43*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 12*z**2 - 2 - 4*z**2 + 3*z + z**3 + 0*z. Let g(n) = -n + 1. Calculate the remainder when f(-7) is divided by g(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -12965, -20192, -27419, -34646, -41873, -49100?\n\"Answer: -7227*n - 5738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 6229016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y + 4*y - 32. Let z(c) = -c**2 + 8*c + 2. What is z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5*(2 - (-6)\/(-10)). Suppose 0*a - a = -52. Suppose z*u = 3*u + a. Calculate the remainder when 25 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -4*p**3 - 3*p**2 - p + 5. Let w(c) = 4*c**3 + 2*c**2 + c - 4. Let i(r) = -4*s(r) - 5*w(r). Give i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -720 divided by 10?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2573 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4872 + -4872.3593. What is x rounded to 2 dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2537 = -540*u - 373 + 1076 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 828\/(-42) + 3 - (-18)\/(-63)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -83.72.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y + y + y**2)*(0 + 0 - y) + 3*y - 3*y - y**3 - 2*y**3 + y**3 - 5*y**3 + (1 - 2*y**2 - 1)*(-y + 2*y + y) + 2*y**3 - 10 + 10.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) 0.2  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 4:15 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 456?  (a) -4  (b) 25  (c) -0.1  (d) -457\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235 is divided by 45*(4\/5 - (16 - 18))?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -1, -8\/9, 0.04?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -281133 (base 10) in base 4?\nAnswer: -1010220231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1167\/(-4)*(5 + -1). Let j be (f + 7)\/(1\/(-10)*1). What is j rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7120, -7265, -7652, -8401, -9632, -11465, -14020, -17417?\nAnswer: -21776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1499135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - ((22 - (0 + 10)) + 0)) + 25 + -16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39259289 is divided by 12927.\nAnswer: 12917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -3*c**3 + 82*c**2 + 56*c + 3. Let n be x(28). Solve n*z - z = -6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 168 + -163. Suppose -6*g + 11*g = -5. What is the third smallest value in -5, g, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103.888 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + 2. Let s(p) be the second derivative of -p**3\/6 + 4*p**2 - 15*p. Calculate the least common multiple of 4 and s(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14\/66249 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 2*f**5\/3 + 84*f**4 - 233110*f**3\/3 + 7360816*f**2 + 91135016*f\/3 + 30690464 = 0.\nAnswer: -444, -2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of -2\/3*s**3 + 0 + 1\/2*s**2 - 3*s. Calculate y(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -53764 or -53780?\nAnswer: -53780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*l = -162*l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2052429 is divided by 7774.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 3*p. Let s be p + -1 + (0 - -1). Solve -4*f - 5*n + 32 = 0, 2*f - 3*n - 1 + 7 = s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 6*q. Let v(o) = -4*o**2 - 6*o. Calculate v(d(i)).\nAnswer: -144*i**2 - 36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -3*f**2 - 59*f + 381. Let l be o(-24). Suppose s - 2*s = -759. What is the highest common divisor of s and l?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2\/7 - 201*d\/7 + 414\/7.\nAnswer: -3*(d - 2)*(d + 69)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-23)\/(-161))\/(26\/(-14))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d + 23. Let s be l(9). Suppose -s*h = -2*h - 90. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 9448 = g, 11*g - 11823 = -5*i + 9*g. What are the prime factors of i?\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -37379752*z**3 - 223086384*z wrt z.\nAnswer: -224278512*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 6*c - 225. Suppose 11*u - c = 58. Calculate the lowest common multiple of u and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1559*b**2 + 3260*b**2 - 1481*b**2.\nAnswer: 220*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 294 - 294. Solve 0*q + 4*q - q = k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + t + 3*t + 2)*(2*t + 2*t + 2*t**2 - 3*t) + (-2*t**2 - 3*t**2 + 6*t**2)*(-24*t + 46*t + 112*t).\nAnswer: 140*t**3 + 7*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15328 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -30*j. Let g(o) be the first derivative of -13*o**3 + 6604. Calculate g(v(r)).\nAnswer: -35100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2584031362, -2584031364, -2584031366?\n\"Answer: -2*c - 2584031360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*a - 2*l + 7, 3*a = 5*l - 2. Let p be 4*-3*a\/(-6). Put -0.2, p, -4 in increasing order.\nAnswer: -4, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by 138?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-166)\/8 + (-1 - (-56)\/32). Calculate the least common multiple of 12 and 72\/(8\/(m\/(-5))).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 1, 5, 3 in decreasing order.\nAnswer: 5, 3, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-5)*h*h**(4\/7)*h*(h**(1\/2))**(-2\/7))\/((h\/h**2)\/h**3)**47 assuming h is positive.\nAnswer: h**(1305\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -598*i**5 + 309*i**3*z + 10*i**3 + 17519839*i*z wrt i?\nAnswer: -11960*i**3 + 1854*i*z + 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.5, 557, -3, -1\/4, -194\/5?\nAnswer: 557","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 4  (b) -1\/6  (c) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 + 12*f**2 + 10*f - 9. Let i be r(-11). Suppose 1 = -v + 2*n - 7*n, -5*v + 2*n + 22 = 0. Let a = v - 11. Sort a, i, 1 in increasing order.\nAnswer: a, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25590 - 6721. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of q**2\/2 + 28. Let p(x) = -19*x. Give p(f(c)).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**2. Let s(l) = -8*l**2 - 29*l + 3. Calculate s(b(j)).\nAnswer: -32*j**4 - 58*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from duuhuhtuduuhtdhuuthu. Give prob of picking 1 d, 2 h, and 1 u.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2581 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9150 - -9154. What is the third biggest value in z, 3, 0.3, -7\/5, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 350700 by -8350.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13501 and 998085.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1578, 0 in descending order.\nAnswer: 4, 0, -1578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7359835*0.2.\nAnswer: -1471967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nl when two letters picked without replacement from lnl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = 211 - 147. Let w be (2\/j - (-1)\/4)\/1. Solve w + 0*g**4 - 2\/3*g**5 + 0*g + 0*g**2 + 2\/3*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1196 (base 11) in base 10?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*u - 105 = 18*u. Calculate the remainder when (6\/(-4))\/(u\/9840*-8) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/(-26))\/(0 - (-5)\/2).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 93*r**2 + 42*r - 22. What are the prime factors of s(-5)?\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7a75a6 + 15?\nAnswer: -7a7591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.127781302 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -409 - -1093?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 4\/91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 1:03 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(-6 - -3) + -4. Let p(l) = -l - 1. Let b be p(o). Let x(u) = u**2 - 7*u + 8. Let g be x(b). Solve m = -j + g, 1 = -j + m + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3649663 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22071.11 + 22071. Sort -2, 2\/5, 0, b, 7.\nAnswer: -2, b, 0, 2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m + 14 + 21 = -11*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -20304491*y**3 + 21663090*y**2?\nAnswer: -121826946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -3 - 3 - 4) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n**(2\/3)\/n)*n**(-4)*n**(-4\/3)*n**(-2\/17)*n*(n**3*n*n**(-6))**5 assuming n is positive.\nAnswer: n**(-223\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -7 + (23 - -18)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.7 + -3.7. What is the nearest to j in 6\/29, 3, 0.4?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1588857 to the power of 1\/2, to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/3)*(z**(-2)*z)\/z*(z\/(z*z**(-1\/4)))**(-17))\/((z**0)**(6\/35))**(9\/5) assuming z is positive.\nAnswer: z**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -666376 - -1000055. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 122 + -106. Let n be y\/48 - (-30178)\/6. Round n to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h - h**2 - h**3 - 7 - h**2 + 0. Let k be u(-3). Sort -24, -2, -4, k.\nAnswer: -24, -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -1.69  (b) 1  (c) -0.5  (d) -5  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/2 and 39\/2540320?\nAnswer: 2540320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 3*p**2 + 2*p + 2. Let l(u) = 4*u**2 + u + 2. Let n(h) = -4*l(h) + 5*s(h). Suppose 22*y = 19*y + 6. Let c be y*(75\/10 - 4). Determine n(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 1\/2, 1, -1, -39, 0.03, -231?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 75589365\nAnswer: -75589365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 92, 929, 1766, 2603, 3440, 4277?\n\"Answer: 837*r - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3244578 divided by -1929?\nAnswer: -1682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 468 - 111. Suppose -4*a + 4*j + f + 499 = 0, 884 = 4*a + 3*j. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f\/(f*f*((f**(1\/2)*f*f*f*f)\/f)\/f)*f\/f**(-6) assuming f is positive.\nAnswer: f**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 928591.3 litres to millilitres.\nAnswer: 928591300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/3  (b) -3\/7  (c) -3\/14  (d) -3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3 - 25 - 36 - 13 + 3 - 4*f. What is b(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*w**2 + 72*w**2 + 175*w**2 + 32*w**2.\nAnswer: 324*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 1153*y - 526914. Determine i(457).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**2 - 42*i + 35. Determine w(-20).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 2, 405.\nAnswer: -24, 2, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 + 5*u. Let q be i(-5). Is (6107\/62)\/(q + (-1)\/(-26)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = o + 4*w, -4*o - 6*w - 11 = -3*w. Calculate the smallest common multiple of 11 and 7 + (4 - o - 6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + l + 1. Let t(w) = -5*w**3 + 6*w**2 - 6*w - 3. Let s(f) = -t(f) - 6*v(f). Let p be s(-6). What is the tens digit of p + 2 - (-1 - 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*a**2 - 37*a - 3*a**2 + 2*a**2 - a**4 + 36*a - 1 in the form q*a**4 + s + x*a**3 + u*a**2 + j*a and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7994051 + 7994142.00122. Let m = y + -91. What is m rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 0 + (7 - -5) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 252160 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of 2*z**7\/7 - 13*z**6\/3 - 13*z**4\/4 - 1330*z**3 - 3947. Find the third derivative of f(y) wrt y.\nAnswer: 240*y**3 - 1560*y**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*a = 1349 - 736 + 790 + 305 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -9*c**3\/2 - 2*c - 30. Let m(g) = 5*g**2. Calculate v(m(a)).\nAnswer: -135*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 5*o**2 - 4*o + 3. Let r(z) = z**2 - z + 1. Let c(l) = 3*l**2 - 1. Let f be c(1). Suppose -t + 1 = -f. What is t*r(q) - a(q)?\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b + 7*b - 4*b - b**2 + 2*b**2 - 14. Let j be u(-7). Suppose j*q = -2*q + 790. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -4*t + 9. Let p(m) = 9*m - 12. Does 10 divide p(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 3*i = 27, 0 = 5*i - i - 4. What is the units digit of s + -2 + 15 - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 2*n - 1, n - 1 = 2*o. Let t be o\/4*20\/15. Which is greater: t or -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-1\/5))**(2\/25)\/((g**(2\/9)*g)\/g)**(-12))**41 assuming g is positive.\nAnswer: g**(42476\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1434*d + 24 = -1436*d - 5*q, 3*q + 20 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/(sqrt(6)\/(sqrt(3) + sqrt(6)\/sqrt(2))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 62 and 7506619.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2682*j - 5. Let l be n(-5). Suppose -p + l = -6*a + 2*a, p + 5*a = 13396. Is (-2 - (-5)\/2) + p\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/(-36) - (-15125)\/(-99). Let j = v + 149. Sort -5, -3, j, -10 in increasing order.\nAnswer: -10, -5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 57 - -113. Let a = -637 - -686. Suppose -a*z = -54*z + v. What is the remainder when 64 is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -20389, -23551, -28823, -36205, -45697, -57299?\n\"Answer: -1055*b**2 + 3*b - 19337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7\/102 or 2741?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 463757?\nAnswer: 7, 97, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 - 2*w**2 + 2*w**2)*((3 - 3 + 1)*(3*w**2 - 6*w**3 - 3*w**2) + 3*w**3 - 5*w**3 + 4*w**3).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261942 is divided by 478.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 PM and 5:20 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -615*g + 184*g + 210*g + 190*g. Let s(n) = -33*n + 1. Determine s(m(r)).\nAnswer: 1023*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 - 51165.\nAnswer: -51160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-37)\/((-148)\/8))\/(7\/2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -361*w + 11197. What is the smallest common multiple of s(31) and 3147?\nAnswer: 6294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -11, -2 in increasing order.\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-1\/3))**49*m\/((m**10\/m)\/m)*m**(-10)*m)**(-10) assuming m is positive.\nAnswer: m**(-500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 15 - 45 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jkja when four letters picked without replacement from kjmckllkjkjka?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29.14 + 6.86. Sort -2, 1, c, 2 in ascending order.\nAnswer: -2, 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*y**4 + 32620*y - 58093?\nAnswer: 8*y**3 + 32620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -7\/243742841?\nAnswer: -7\/243742841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 538.62536 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17757 = -16*p + 29347. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 682432030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1340)\/67)\/((-4)\/(-2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-500)\/(-24) + 30\/(-36). Let u be 1*((-10)\/25 - (-1688)\/v). What is the third smallest value in -4\/3, u, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*r**3 + 15*r + 6010*r**2 + 6014*r**2 - 12024*r**2 - 1 as c*r + d + f*r**3 + j*r**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*t**(1\/11))\/t)\/t)\/t*t**2*(t\/t**(2\/7))\/(t**(-3)\/t*t))\/(t\/(t*t**0)*t**(-1\/4)*t)**(-36) assuming t is positive.\nAnswer: t**(2372\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 7 = -6. Let q = 861 + -873. Let y = c - q. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1))**28\/((w*w**(-5)*w)\/(w*w*w\/w**(2\/3)))*((w\/(w\/w**6))\/(w\/w**0*w))\/((w*w**(-7\/2))\/w**(-2\/21)) assuming w is positive.\nAnswer: w**(-683\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 - (-2 - -4) - (-354 + 384).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmphshmhhhsmmsddmp. What is prob of sequence mhph?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10234 + 114?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of 8*t - 7\/5*t**3 - 1\/50*t**6 - 3\/50*t**5 + 0 + 3\/5*t**4 + 3\/2*t**2. Factor y(z).\nAnswer: -3*(z - 1)**3*(z + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*(-2)\/(-1) - 224. Calculate the common denominator of 91\/10 and 4 + -1 + y\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.59999814 - -0.6. Round n to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 232045 (base 6) to base 14.\nAnswer: 7377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 217420551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (79 - 71) + 2 + -21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 0*i - 3*i**2)*((0*i**2 + 4*i**2 - 3*i**2)*(-4 - 2 + 10) + 0*i**2 - 3*i**2 + i**2).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1546?  (a) -1\/6  (b) -1\/2  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 5*i + 71. Let f be k(-17). Let l be 1\/((f\/(-4) + -3)\/1). Solve o + 2 = l*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 84 and 16086?\nAnswer: 32172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -245.8 - 8150137.\nAnswer: -8150382.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 769 or 1?\nAnswer: 769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2  (b) -3  (c) 1\/92  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 785862866 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v**2 + 3*v - 2. Give l(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 4*g + 2*l - 34, 0 = 5*g - 3*l - 26. Solve q = -s + 5, -2*s + 5*s - g = q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 47709 and 3886488.\nAnswer: 361443384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 47\/4 of a microgram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of u**7\/360 - u**6\/40 + u**4\/2 + 23*u**2. Let k(c) be the second derivative of b(c). Find the second derivative of k(f) wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of -r**5\/15 + r**2. Let a(u) be the third derivative of 0*u**3 + 0*u**4 + 3*u**2 + 0*u - 1\/20*u**5 + 0. Calculate g(a(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33156?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -221880.9 to the nearest one hundred.\nAnswer: -221900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15.626 + 0.274. Which is smaller: -1\/3 or r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 72644, -364, -3.\nAnswer: -364, -5, -3, 72644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {m: 4, a: 1, c: 2, o: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c + 35. Calculate the least common multiple of 10 and x(30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2971, -11761, -26411, -46921?\n\"Answer: -2930*y**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 518663 and 7767?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 164, 319, 466, 599, 712, 799, 854, 871?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yadddjyafa. What is prob of picking 1 d and 3 a?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*((sqrt(3240) + 1*sqrt(3240) - sqrt(40)) + sqrt(40)))\/(5*(sqrt(392) + -1*sqrt(392)) + sqrt(392)) + 4)**2.\nAnswer: -144*sqrt(5)\/7 + 2404\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/127  (b) 234  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -144880 and -171397253.\nAnswer: -171542133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 56 = 4*f. Calculate the greatest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v + 39957 = 108197. List the prime factors of v.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-7 - 3 - -34 - -12)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 115\/209 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 17*h - 25 + h**3 + 25*h**2 + 6*h - 3*h - 3*h. What is the units digit of b(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -175 - 36?\nAnswer: -1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -u**4 - 999*u**3*y - 1398*u**2*y wrt u?\nAnswer: -24*u - 5994*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/37  (b) 18  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s**3 + 2*s**3 + 2*s**4 + (2 - 1 + 1)*(-9*s**4 - 17*s**4 + 15*s**4) + (2 - 1 - 5)*(-4*s + 4*s + s**4).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of 75*p**4\/4 + 131*p - 62. What is the derivative of k(n) wrt n?\nAnswer: 225*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3330 divided by 9\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63398289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396)\/(sqrt(1100) + sqrt(1100)*1)*6)\/((6*1*sqrt(108))\/(-3*sqrt(18)\/sqrt(2))).\nAnswer: -3*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(160)*1)\/((-2*sqrt(224))\/sqrt(7)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44676 is divided by 5560.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4153622)\/6*21\/7. Let n = m + 806811. What is n rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8512486*p**3*q**3 + 4*p**2 - 2*p*q**3 - 10*p*q**2 + 91*q**3 + 21*q wrt p.\nAnswer: 51074916*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.9 + 0.1. Let s = -0.867 - -1.567. Let j = s - g. What is the second biggest value in 0, -1, j, -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 30*f**2 - 41*f + 4. Calculate the remainder when b(2) is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 180\/80*(-16)\/(-12). Solve 3*z - 27 = -j*d, -3*z - 7 = -3*d - 2*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3*c. Let h(i) be the second derivative of -i**3\/6 - 5*i. What is -11*h(w) + 4*s(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m + 4, 8*x + 30 = 3*x - 5*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, t: 6}. What is prob of picking 2 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 3*z - 7 = 0, 3 = 3*v - 2*z - 1. Which is the smallest value?  (a) -5  (b) 6  (c) -0.3  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, -1, 5, -1102, -13 in descending order.\nAnswer: 5, 2, -1, -2, -13, -1102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 3146?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(2\/9))**(-2) assuming m is positive.\nAnswer: m**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -3*((sqrt(891) + sqrt(891)*-2 + 2)**2 + (sqrt(891) + -5 + sqrt(891)*-3)**2 + 4)*1 + -1.\nAnswer: -13468 - 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000005081 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 2.6. Let l = q - -5.4. Which is the second biggest value?  (a) l  (b) 1  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 481314859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 - 2) + 6\/(-3). Let o = -1 + 0. Let h be ((-1)\/(-2))\/((-19)\/4). What is the nearest to r in 3, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of i**2 - 1. Let q(z) = -z**3 - z. Let k be q(-1). Let m(w) = -12*w**2 + 5*w**2 + 10*w**k. Determine m(r(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-34)*y**(1\/8)*y)\/(y*(y*y\/(y*y*y*y**(-3\/11)*y))\/y*(y*y**(-1\/14)*y*y)\/y) assuming y is positive.\nAnswer: y**(-20375\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, y: 4, z: 2}. Give prob of sequence zqzq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -5 + 15 - (-8 - (-13 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 138 + -149. Which is the closest to 3?  (a) 2\/9  (b) 4  (c) 1  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 9:09 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8406 and 3783762?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*s**4 + 376135*s**3 + 11921965*s**2 - 3004000*s = 0. What is s?\nAnswer: -18775, -32, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -819999*x**2 - 1. Let y be g(-1). Round y to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m. Let i(b) = 2*b**3 - 16 + 0*b**3 + 15 + 4*b - b**3. Let k(z) = i(z) + 6*q(z). Give k(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4094 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 + s + 15. Let b(o) = 4*o - 28. Let n be b(7). Determine z(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -1120.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s and 1 g when four letters picked without replacement from sssgg.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*z**3 + 11*z**3 - 59*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 6:25 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/12 - 546\/1260)*(-4)\/6. Let j = 0 - -3. Let a = -0.19 + 0.2. What is the closest to t in -4, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**3\/7 + 864*o**2\/7 + 1716*o\/7.\nAnswer: 3*o*(o + 2)*(o + 286)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - -4 - ((9 - (6 - -25)) + 3 + 8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - b**2 + b)*(-12 - 13 + 22).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/646 or 0?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = 13*y - 14*y - 49, -110*y + 33*f - 398 = -108*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 37 - 42. Let x(i) = 4*i + 6. Determine x(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q - 6. Let v be n(-5). Let x = 126.78 - 126.68. Which is the closest to x?  (a) v  (b) -2\/9  (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16769\/768 - 811\/256. Factor -2\/9*n**2 + b*n - 392.\nAnswer: -2*(n - 42)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-13.3657.\nAnswer: -66.8285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 9 = 3*r - 2, 2*r + 2 = -2*s. Calculate the least common multiple of 686 and s.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 8:01 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 43\/4 of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16114 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**9)\/(u**(1\/22)\/u))\/(u\/(u\/(u\/(u\/u**(-1)*u*u)*u))*(u*(u**(-1\/2)*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 23 = -5*f, 4*v + 17 = -4*f - 7. Calculate the common denominator of v\/(((-12)\/(-21))\/((-108)\/(-224))) and -89\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 3) + 47 + -51.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271905010?\nAnswer: 2, 5, 13, 19, 110083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*b = b - 4*f - 3, 4*b - 2 = 2*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 451566.1l to millilitres.\nAnswer: 451566100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, i: 11, n: 2}. What is prob of picking 2 i and 1 a?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -92 - -94. Find the second derivative of 26*u - 81*u + 9*u**2 + 13*u**j wrt u.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-96)\/160)\/(3\/2). Which is the third smallest value?  (a) 9  (b) w  (c) 0.3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 397325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29.5 - 22. Let t = m - 9. What is t rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-1\/14)*h)**(-50)\/(h\/((h\/(h\/h**(6\/5)))\/h)*h*h**12) assuming h is positive.\nAnswer: h**(-3858\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -646*k - 737*k - 1322*k + 419*k.\nAnswer: -2286*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y + 0*y + y)*(282*y**4 + 390*y**4 + 608*y**4).\nAnswer: 3840*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 0*h + 0*h - 254*h**2 + 127*h**2 + 130*h**2. Let w(q) = -2*q. Determine w(j(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10 or -2319?\nAnswer: -2319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23*d**5 + 5*d**3 - d + 257 wrt d.\nAnswer: -460*d**3 + 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u + 23. Calculate z(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 6557, 2, -2 in descending order.\nAnswer: 6557, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -757*x**3 - 741*x**3 + 1401*x**3.\nAnswer: -97*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 + 26 + (11 - 5) + (-1 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8447 is divided by 1008?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -794137.676 + -0.4.\nAnswer: -794138.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -0*l - 2*l. Let f(s) = s**3 + 2*s**2 - 3*s + 4. Let p be f(-3). What is the second biggest value in l, 6\/5, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*b**3 + 3*b**3 + b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -304, -326, -362, -418, -500, -614, -766?\n\"Answer: -b**3 - b**2 - 12*b - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 11 - 11)*(t**4 - 23*t**4 - 10*t**4).\nAnswer: 32*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -24 + (-30 - -6 - -20) - (0 + 0)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -131 + -4?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 42*d - 2*z - 338, 2*z = 956*d - 953*d - 26 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, x: 3, a: 1, j: 1, s: 1}. Give prob of picking 1 a, 1 n, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*g - 58*g + 689 = -27*g. Put -1, -3, 0, g, 10 in descending order.\nAnswer: g, 10, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547421.3 tonnes in micrograms?\nAnswer: 547421300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27\/4, 0.12, -68, -12 in decreasing order.\nAnswer: 27\/4, 0.12, -12, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20 - -56. Let f = -2 + t. Let s = -28 + f. What is the greatest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -6*p + 290. Determine d(35).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 1. Let f be (-3)\/((1\/(-1))\/2). Suppose 0 = -f*i + 3*i + 3. Let v(l) = 10 + 4*l - 5*l - 7. Give i*v(z) - h(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -410468 or -410469?\nAnswer: -410468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 518 + -565. Is o at most as big as -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + 32\/20 + (-242)\/(-5). Suppose -40*r - 1408 = -l*r. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*b - 5*b + 0*b + 0*b + 3 to w + y*b and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3614 = -7*u - 3558 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-215)\/(-129))\/((-25)\/285).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58211?\nAnswer: 58211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 15 = z - 5*c, -25 = 5*z - 2*c. Let q be 1 + 1 - (-17 - z). What is the tens digit of q - (-2)\/(3 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.4 - -6.4. What is the nearest to -1 in 4, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 50 = 115. Suppose 5*q - 36*t = -34*t + 155, 0 = -q - 3*t - 3. Calculate the smallest common multiple of q and r.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 267*j - 8 = 268*j, 2*v = -5*j + 48338. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2348749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -28*c**4 + 15192*c**3 + 367344*c**2\/7 - 235936*c\/7 + 4992 = 0.\nAnswer: -4, 2\/7, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 423 is divided by 76?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16727849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 271 - 263 - (0 - 5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - 1) + (1 - -14) + (-8 - -107) + -103.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - -9) + (2 - (2 + -2 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 47, 94, 155, 236, 343?\n\"Answer: s**3 + s**2 + 37*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4966 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of v**5\/20 + v**4\/4 - 2*v**3\/3 + 3*v**2\/2 - v. Let h be a(-4). Let y be 0\/(h\/(5 - 2)). Solve w + w - 10 = y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u - 7. Let r be q(4). Let f be 1\/(12\/8)*r. Does 9 divide (-26)\/f - (-3 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 5*o**3 - 92*o**2 + 3068*o - 32776. Let g(y) = -6*y**3 + 91*y**2 - 3067*y + 32778. Let f(c) = -4*g(c) - 5*h(c). Factor f(t).\nAnswer: -(t - 32)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/((-62)\/126) - 2. Let v be (-10)\/65 - (-10)\/65. Suppose v = -y - 4*w - 17, y - 11 = -4*y + 4*w. Which is smaller: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/40 - 45\/(-360)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*t = -18*t - 8580. Is t a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5048, 20524, 46318, 82430, 128860, 185608?\n\"Answer: 5159*z**2 - z - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22\/5?  (a) -0.08  (b) 6  (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4084, -4089, -4084, -4057, -3996?\nAnswer: -3889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 161963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 + 37 = 3*i. Let b = 32 + i. Suppose 0 = -2*f - 7 + 23. Solve f*q = 3*q + b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 - -32. Suppose 0 = 2*m - m - k. What is the greatest common factor of m and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -7, 9 in descending order.\nAnswer: 9, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9300623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiii. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**2 - 4*u - 3. Let b be (-6 - -7 - (2 - 3))\/(-1). Let y be (4\/8)\/((-33)\/18 - b). Suppose 4*v = 6*o - 7*o - 4, -12 = -y*o. Determine d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 + 22. What is the remainder when i is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.056703 - -0.250018. Let b = 0.193 - d. What is b rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 483116, 966251, 1449386, 1932521, 2415656?\nAnswer: 2898791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -153.02 and 0.872?\nAnswer: -133.43344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9*c*v**2 + 409*c*v - 2*c - 80587*v**2 + 2*v - 2 wrt c.\nAnswer: 9*v**2 + 409*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, -22, -17, 5 in ascending order.\nAnswer: -22, -17, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5160218 + -1?\nAnswer: 5160217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0 - -1)\/(4\/104).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus -13121987890?\nAnswer: 13121987890.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 0. What is the common denominator of (-2)\/b - 531\/240 and (-31)\/20*-1 - -1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d + 2. Let f be v(-7). Let l = f - -4. Let c(i) = i**3 - i - 1. Let t(s) = -3*s**3 - 5*s - 4. Let q(n) = -4*c(n) + t(n). Determine q(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-7)\/(-14) - (-14)\/4. Let v(n) = 4*n - n - h*n. Let d(a) = 46*a. Let q(u) = -9*u. Let x(z) = -2*d(z) - 11*q(z). Calculate x(v(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - w - 70 = 0, 190*w = 5*u + 188*w - 350. Calculate the greatest common factor of u and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2 - 3*h - 10. Let z = -3056 + 3061. What is p(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 4*a - 684, 0 = 4*a - t - 1006 + 327. Let l = -326 + a. What is the tens digit of 1\/(-3) + l\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1009*w**2 - 8 - 3137*w + 8 + 3137*w.\nAnswer: 1009*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -35*r**2 - 60*r + 3. Let a(u) = -11*u**2 - 22*u + 1. Let g(n) = 11*a(n) - 4*j(n). Let p be 9\/(-15) - (-2)\/(-5). Calculate g(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 5*s**2 - 9*s - 5. Let i(y) be the first derivative of y**3\/3 - y**2 - y - 17. Let p = 4 + -13. Give p*i(m) + 2*j(m).\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -596146383 less than -0.5?\nAnswer: 596146382.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 84836770 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -0.523944\nAnswer: 0.1047888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 345*2003.\nAnswer: 691035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.84 + -0.16. Suppose 4*s + 1 = -f, 4*s - 2*f - 5 = 3*f. Suppose 6*x - 14*x = s. Which is the closest to q?  (a) x  (b) 2\/11  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1478 - -0.0178. Sort l, 3, 0 in ascending order.\nAnswer: l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-46)\/(-92))\/(2\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/(-2))\/(0 - (-1)\/(-10)). Let c(t) = t**2 + 7*t + 3. What is c(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 6804*x + 13617*x - 6814*x - 5*x**2 to i + o*x + h*x**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11500.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/6 and -139\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 74, 2\/237, 61.\nAnswer: 2\/237, 61, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2706 + -2676.73. Let x = a + -29. Let w = x + -0.270034. Round w to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x. Let n(s) = 1092*s**2 - 104*s. Let b(i) = -52*i**2 + 5*i. Let y(p) = 104*b(p) + 5*n(p). Calculate a(y(k)).\nAnswer: 52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l**3 - 403565*l**2 - 180*l + 14528340 = 0. What is l?\nAnswer: -6, 6, 80713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 240*r - 725. Let c(j) = 56*j + 2. Determine c(v(h)).\nAnswer: 13440*h - 40598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 divided by 15?\nAnswer: 154\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 82, 0, -1 in descending order.\nAnswer: 82, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3863.054 - -3863. Is x bigger than 1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*n + 3*n + 8*n - 17 - 16*n - 87*n**2 wrt n.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**3 + 0*v**2 + 0*v**2)*(-353 - 54 - 1383 - 3273 - 755).\nAnswer: -5818*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 116 + 41*q - 119 + 55*q + 13*q as m*q + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 100*m + 45. Let x(c) = 54*c + 6 - 45*c - 2. Let d(s) = 4*a(s) - 45*x(s). Let i(g) = -g. Determine 3*d(h) - 21*i(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 645, 789, 867, 879?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 81 = -i, 2*j - i + 3*i - 30 = 0. Suppose -v - 3*v = -j. Solve 5*r - 13 = 2*h, 0*r = 4*r - v*h - 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/190 and -193\/2604330.\nAnswer: 2604330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1882*w**2 + 26*w - 14 wrt w.\nAnswer: -3764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108687.\nAnswer: 3, 36229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 9, c: 9}. What is prob of sequence fcff?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-540)\/(-92070))\/((-6)\/(-22))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*b + 220, -42878*s - 17 - 12 = -42881*s + 4*b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.4558 rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5049 less than 35348\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(490)*-1 + -2*sqrt(1210)))\/(sqrt(16)\/(sqrt(8) - sqrt(512)) + 2*sqrt(2)*4).\nAnswer: -1218*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -1.6005\nAnswer: -0.80025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39700 is divided by 88?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (-7 + 6 - -30) - 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -10. Suppose -16*z + 24*z - 88 = 0. Let f be (-1)\/(-3)*(z - 8). What is the closest to 0.2 in r, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, r: 5, s: 2}. Give prob of picking 2 v and 2 r.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9.35 - -9.31. Sort r, 25, 1\/8, -0.5 in ascending order.\nAnswer: -0.5, r, 1\/8, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -149 - 95*m + 211*m - 119*m - 238 to the form f*m + z and give z.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -180, -362, -544, -726?\n\"Answer: -182*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -319, 0 in ascending order.\nAnswer: -319, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/431?  (a) 0.2  (b) 0.4  (c) 3\/5  (d) 133  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1322 + 0?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29 + -48. Let b = -19.5 - l. What is the second smallest value in -5, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -10, 5691\/11, 1\/5 in decreasing order.\nAnswer: 5691\/11, 3, 1\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.02788 in -1, -111, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 570769.3 less than -0.6?\nAnswer: -570769.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + x - 30 = 0. Suppose 4*r = -2*p + 40, 4*r - 3*p = -0*r + x. Solve 3*c - 2*b = -c + 16, 0 = c - 3*b - r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -5 and -3712 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(187)*3)\/sqrt(11) + ((sqrt(68) - ((sqrt(68) - (-1*sqrt(68) + sqrt(68) + sqrt(68)))*-2 + sqrt(68)))\/sqrt(4))**2.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*p**3 + 74875*p + 78418*p + 0*p**2 + 4*p**3 - 153293*p + 0*p**2.\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 3*t + 939 = 948, -v = t - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1001 - -2?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2463647 = -115*l + 2466292 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 4*z - 280, 3*z + m - 192 = 4*m. Let c(b) = -3*b - 7. Let q be c(6). Let j = z + q. What is the greatest common divisor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -8 + -416a?\nAnswer: -4174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8 - 1 + 2*d - 3*d)*(2*d + 2 + 2*d - 4) to q*d**2 + k*d + h and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 735, 1322, 1903, 2472, 3023, 3550?\n\"Answer: -q**3 + 3*q**2 + 585*q + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7.8 + 8. What is the second smallest value in 0.01, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 81*p**3 + 120951*p**2 + 45091144*p - 45212176.\nAnswer: (p - 1)*(9*p + 6724)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**4 + 515452*p**3 - 33178340226*p**2 - 4253163520256*p - 136168827527168.\nAnswer: -2*(p - 128927)**2*(p + 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**2 + 13*v - 14*v + 3*v**2)*((-2 + 3 - 3)*(4*v + 0*v - 2*v) - 1 + 1 + v).\nAnswer: -18*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of -y**4\/12 - y**3\/3 - y**2\/2 - 7*y. Factor f(n).\nAnswer: -(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 76 - 6d?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -68597940 to the nearest 100000.\nAnswer: -68600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3486683140 to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 9*s + 1. Let p(c) = -9*c - 1. Determine -3*i(o) - 2*p(o).\nAnswer: -9*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (11\/((-308)\/(-8475663)))\/(126\/168) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -0.3  (c) -1.327881  (d) -4  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 284 = 55*o - 46 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s - 26956. Let d(t) = -t. Calculate c(d(g)).\nAnswer: -g - 26956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2144764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26 + -18. Does f = 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2 + 2338896*v - 32745328.\nAnswer: 4*(v - 14)*(v + 584738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -13*u + 67. Let k be s(5). Put -1, k, -23 in decreasing order.\nAnswer: k, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 923, 1975, 2993, 3959, 4855, 5663?\nAnswer: 6365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1941 and 952032.\nAnswer: 615964704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 248033640 to the nearest 100000.\nAnswer: 248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 353*n + 1. Let l(g) = -21677*g. Calculate r(l(z)).\nAnswer: -7651981*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.6 take away 9753?\nAnswer: -9726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*v - 2*v. Differentiate 0 + v + 4*u - 2*u wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d - 62*d**2 + 63*d**2 + 93*d**2)*(6*d**3 + 21 - 21) + (3*d - 3*d - d)*(-d**4 + d**2 - d**2).\nAnswer: 565*d**5 - 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 23322 times 2485\nAnswer: 57955170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -4351 equal to -4448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-6)\/h)\/(h\/(h\/h**(9\/4))))**(-8)*h**2*h**(-7)*(h*h*h\/(h*h**0\/h))**(3\/22) assuming h is positive.\nAnswer: h**(1527\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 1013 - 997 = 2*y, 5*o = -5*y - 0*y + 40 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6, -8, -12, -18, -26?\n\"Answer: -k**2 + k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -562*r + 567*r - 20 = 0. Let u be (-8)\/(-1188)*411 - r\/18. Find p, given that 62\/11*p**3 - 36\/11*p**2 + 4\/11 - 2\/11*p - u*p**4 = 0.\nAnswer: -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13910 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k + 11. Let o be p(-6). Let z be 23\/7 + 6\/(-21). What is the second derivative of 0*r**o + r**5 + z*r - 2*r wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 32 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 263*q + 8279. Give c(-30).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/4 or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m - m**5 + 5*m + 3*m wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -107.\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 115\/((-809370)\/184)*(-45)\/2.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -3*l + 4*y + 57, -5*l + 84 = -2*y. Let q be 2\/(-3)*l\/(-4). Put q, 4, -13 in increasing order.\nAnswer: -13, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 398, 397, 396, 395, 394?\n\"Answer: -q + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/46102 and -85\/666.\nAnswer: 414918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x + 6. Let o be n(5). Let f be (-3)\/3 + o\/2. Suppose -1 = 4*d - 5. Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-2))\/((4\/(-24))\/((-12)\/342)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -103210113 - 1?\nAnswer: -103210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -2*w + 16. Let m be 0 + 10 + (3 - w). Let p be (-18)\/(-81) - 2\/m. Let z(o) = o**2 + o - 1. What is z(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c - 18. Let n be t(8). Suppose 4*u = -2 + n. Does 18 divide (3 - u)*172\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a + 23. Determine w(19).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -38. Let v(t) = -8*t + 368. What is the remainder when v(32) is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -4*o**3 - 8*o**2 + 38*o - 6. Determine s(4).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 15392.5 to the nearest one hundred.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1\/1 - 918\/(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 298 is divided by (-830)\/(-9) - (790\/(-90) + 9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1082633546 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hohhohh. Give prob of picking 2 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3613 + -3614. Which is the third smallest value?  (a) -9  (b) -0.4  (c) n  (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 322 times 2\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*s + 97 + 110 = -23 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/2)\/(4\/(-8)). Let g(a) be the first derivative of 0*a - 2\/5*a**5 + 0*a**4 - q + 0*a**3 - 3\/2*a**2. Find the second derivative of g(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 + 10*p + 21. Let v be g(-7). Is 0 != v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -14*r**3 + 12*r**2 - 12*r - 12. Let j(p) be the second derivative of -p**5\/20 + p**4\/12 - p**3\/6 - p**2\/2 - 12*p. Calculate -h(f) + 12*j(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -4  (b) 2  (c) -14\/67  (d) 558\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 7 + 3)*((4 + 1 - 4)*(-2*q - 2 + 2) - 4*q + 0*q + 2*q - 29*q + 13 - 13).\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 6*i + 6. Let b be (-75)\/(-30)*(i - 1). Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**2 - 27*b + 46. Let f be n(0). Calculate the greatest common divisor of 851 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 176.59 - 185.59. What is the closest to 0 in k, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l - 6*l - 16 = 0. Suppose -5*n + l*n = -6. What is the first derivative of 0*p**4 + 2*p**4 + 4*p**4 + n*p**4 - 4 wrt p?\nAnswer: 48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -2*m. Suppose m = 3*u - 63631 + 342355. Let k = -138908 - u. What is k rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*i + 38494*i**2 + i**3 - 38494*i**2 + 39*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3774, 8020, 12280, 16560, 20866, 25204?\n\"Answer: j**3 + j**2 + 4236*j - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.039768 - -5815.360232. What is a rounded to the nearest one hundred?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.2 + 1.23. Is k less than or equal to 11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*g + g + 160. Solve -3*u + g = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -0.3  (b) 7\/2  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2483*t**2*u - 9*t*u + 121662*u - 2 wrt t?\nAnswer: -4966*t*u - 9*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 + -11. Let n(q) = -q + 9. Let w be n(t). Solve r = w*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 + 4 = 12*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 458313 and 41541?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31 + 44 - 117 + 44 - 222*t**2 - 4*t to v*t**2 + y*t + x and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*j + 4*j - 3 + j + 3*j + 2*j - 3*j + (2 + 3 - 6)*(-5*j + j + 0*j).\nAnswer: 8*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 10:51 PM?\nAnswer: 316","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -3\/2*r**2 + 0*r + 5\/6*r**3 - 1\/12*r**4 - 2. Let p(m) be the second derivative of g(m). Give p(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28*x + 178*x + 26*x)*(0*x**3 - 3*x**3 + 2*x**3) - x**4 - 3*x**4 + 3*x**4.\nAnswer: -233*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61 - 55 - 6*q + 234 - 59 - 59.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(78)*1)\/sqrt(2)*5)\/(2*-2*sqrt(48)) + -3)*3.\nAnswer: -9 - 15*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**2 - 8*g**2 + 3*g**2)*(6*g - 9*g + 5*g) + 2*g**3 + 0*g**3 - g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, s: 3, f: 12}. What is prob of sequence fj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of -b**4\/6 - 3*b**2\/2 - 2*b. Let r(p) be the first derivative of w(p). Determine r(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1152739 (base 12) to base 5\nAnswer: -1323434010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.020643 from -54639.\nAnswer: -54638.979357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 8*i - 360. Suppose -i = 5*t - 13*t. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of -u**3 + u**2\/2 + 35*u. Calculate r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of -k**4\/24 - 17*k**3\/4 - 96*k - 2. Factor t(q).\nAnswer: -q*(q + 51)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 35\/1400 - (-1)\/(-8). Sort i, -1\/4, 0.4, 4.\nAnswer: -1\/4, i, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 51628795 to the nearest integer?\nAnswer: 7185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 4*k - 16. Let z = -22 + 27. Let j be i(z). Suppose -4*f + f - 5*v + 31 = 0, -f + j*v + 16 = 0. Calculate the smallest common multiple of 6 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2092*s**2 - 5820*s**2 - 1607*s**2.\nAnswer: -5335*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/156 and -41\/182?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*l - 1 + (2 - 3 + 4)*(540 - 540 + 125*l))*(39 + 17*l**2 - 39).\nAnswer: 6409*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11382 + 12498. What is the highest common divisor of 6975 and a?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -219 - -276. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3352, -6656, -9976, -13318, -16688, -20092, -23536, -27026?\n\"Answer: -b**3 - 2*b**2 - 3291*b - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 2*j = -15502, -3*m + 4*j = 2*j - 23243. Suppose 47*r = 9 + 85. Is m\/168 + r\/(-16) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -75\/379 + -537\/3032. Which is the smallest value?  (a) -2\/3  (b) -5  (c) 19  (d) h  (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 35) + (13 - (7 + -126)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-4) + (-708)\/(-16). Suppose v = b + 10, 2*v - b + 5*b - l = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 5:24 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 205943111 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -116137 + 116161. Let c = 3 - 2. Let v be (-295)\/(-12) - c\/4. Is v at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/48 and 63\/26456.\nAnswer: 158736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 308276 and 385345?\nAnswer: 1541380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113 = -69*r - 203 - 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7 and 83452313.\nAnswer: 83452313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10107 + 22007 = -1083*s - 20590 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 - -23\/2. What is the nearest to 1 in 3, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = -16, -2*c - 105 = -2*t - 117 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 639382450.\nAnswer: 2, 5, 7, 1826807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -37 + 6409a7?\nAnswer: 640970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 50 - 24. Let f be (16\/6)\/(4\/(-54)). Let d = f + h. What is d rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1222020121 (base 3) to base 8\nAnswer: -113637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3310717.\nAnswer: 3310717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6*(-1)\/6*-4. Solve 5*c = p - 27, -5*c = -u*p - p + 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12581.\nAnswer: 23, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -6*w - 16. Give r(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -9. Suppose 11 = -3*f - 3*l - 1, 2*l = -10. Suppose -j + f = q - 4, 3*q - c*j - 43 = 0. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8661 + -8578.58. Round c to the nearest integer.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -207a - 3?\nAnswer: -2082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 242624 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 + -7. Let q = 13 - z. Let m = -1\/27 + -23\/108. Is m < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 220520 and 23840?\nAnswer: 882080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**16)**(-40)\/(b**(-9\/5))**44 assuming b is positive.\nAnswer: b**(3396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27469339.700063 + -27469355. Let m = 15.3 + b. Round m to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33743 is divided by 392.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (-7 + -19 - -20 - -52).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -5, 0.4219, -15.\nAnswer: -15, -5, 0.3, 0.4219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 + 6*s**2 - 6*s. Let t be r(5). Let g = t - -8. Suppose g*i = -3*n + 45, n - 37 = -i - 2*i. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 395262 divided by -3\nAnswer: -131754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*t - 5902 - 128210 = 92*t. What are the prime factors of t?\nAnswer: 2, 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 407687815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 47757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 111011010 (base 2) to base 11\nAnswer: 3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 91238219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*6*(sqrt(88) + (sqrt(88) - ((-6*2*sqrt(88) - sqrt(88)) + sqrt(88)))))\/(((sqrt(144)*-2)\/sqrt(9))\/(-1*sqrt(8))).\nAnswer: -84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cciccciccccc. What is prob of sequence ic?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27\/5*c**3 - 36\/5*c**2 + 6\/5 - 3\/5*c = 0.\nAnswer: -1, -2\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/30150 and 19\/42210?\nAnswer: 211050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**2 + 18*s + 16. Calculate the lowest common multiple of 4 and i(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - -15 - (0 + -1 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12889 - 5734. Let x = u + -4820. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from ssmassasssssss.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 44676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109808407?\nAnswer: 359, 305873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three quarters of a kilogram in grams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (11 - -1)*3\/(-6). Let a = r - -23. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -3*k. Suppose -g + 7 = -k*g. Let v(w) = -8 - 5*w - 79*w**2 + 1 + 80*w**2 + 1. What is v(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0 and 458157676?\nAnswer: 458157676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the third derivative of 0*t**3 + 0 + 0*t**4 + 0*t**5 + 0*t + t**2 + 1\/40*t**6 + 1\/70*t**7. Factor y(j).\nAnswer: 3*j**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ipjlpjppjpb. Give prob of sequence ljjp.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*f - 18 = 24*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1325 - 405*m + 146*m + 1327)*(1 + 5 - 5) as t*m + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**3 + 2*k**2 + 1. Suppose 0 = -r + 1. Suppose 37 = 5*n + 27. Let l(j) = 3*j**2 - 3*j**2 + j**n + r. Calculate 2*l(z) - t(z).\nAnswer: 2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w**2 - 2*w - 3. Let g(f) = 4*f**2 + 5*f + 7. Let q be (2 - 2) + 27\/(-3). Give q*h(o) - 4*g(o).\nAnswer: 2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -65*f + 857. What is l(11)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (5 + -6)) + 1 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1461517*s + 1461515*s - 2923034*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b - 11. Let i be p(-6). What are the prime factors of 1 + -1 - (-116 + i\/(-1))?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22985 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u\/(u*u*u*u**9*u)*u)*(u**(1\/20)\/u)\/u*(u\/(u*u**(-16)))**(2\/59) assuming u is positive.\nAnswer: u**(12499\/1180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 18 - 3*b + 8*b**2 - 16 + 3*b + 2*b**3 in the form v*b + l*b**3 + p + r*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 5*z - 0. Suppose 0 = 2*b + 86 + 712. Calculate the remainder when 4\/18 + b\/(-27) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3.064, 0.1, -2\/11?\nAnswer: 3.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(2\/7))**(1\/23))**(3\/11))**(-12) assuming m is positive.\nAnswer: m**(-72\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 480 - 469. Suppose 5*q - 4*u - 37 = 0, q - 3*u + 15 = 2*q. Suppose 0 = c - 53 + q. Calculate the highest common factor of c and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 253 = 239*m + 970 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*i*n + 3*i*q*r**2 - 6*i - 2*n*q*r - 12*n*r**2 - 2*q*r - 3 with respect to n.\nAnswer: -3*i - 2*q*r - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -62 or -58?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 9 = -j + 11, 0 = 4*j - 5*o - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -197*a. Let k(t) = -91*t. Let v(h) = 13*k(h) - 6*r(h). Let q(p) = -142*p**2. What is q(v(g))?\nAnswer: -142*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 715 = -13*y - 734, 0 = 3*y - 4*m - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6980 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -3, -1, 0, 1.\nAnswer: -3, -1, 0, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do -472 and -4252\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k - 12 = 18*k. Let n(s) = -2*s - 9. What is n(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a year in months?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of -1\/28*u**4 - 2\/7*u**3 - 6\/7*u**2 + 0 - 9*u. Factor c(x).\nAnswer: -3*(x + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 10, 5*b - 4 = 2*v - 0. Suppose -v*m = -5*s + 32, 0 = 2*s + 4*m + 7 + 1. Solve s*t + t - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/308, 1\/9, -5, -0.5 in decreasing order.\nAnswer: 1\/9, -1\/308, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 531 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6635 - -6743. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10.136 + -0.176. Let x = r - -0.04. Is x bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*u - 11*u + 270. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(3\/8)*a)\/(a**31*a)*a*a**(2\/23)*a*a\/(((a*a*a**(-1\/56))\/a)\/a*a*a))**(11\/4) assuming a is positive.\nAnswer: a**(-209121\/2576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bzzbzznzznnn. Give prob of sequence bnb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 - 3 + (2 - 6 + 2)*(-2 + 0 + 0) - 218 - 41 + 16)*(91 - 94 + 0*a + 2*a) to i + s*a and give s.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 567644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -a + 4*a. Is a greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 2  (b) -0.028  (c) 0.055  (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-12)\/b**(-9\/7))\/(b**8*b*b**0) assuming b is positive.\nAnswer: b**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -1\/8, 1\/3, 4\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 10:17 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0.028  (b) 1\/866  (c) -3  (d) -2\/5  (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4431?\nAnswer: 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = 6*z + 5. What is the lowest common multiple of 3 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 59.889005*-0.6\nAnswer: -35.933403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.04682*-0.043\nAnswer: 0.00201326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 74\/44 + 1 + (27\/(-6) - -2). What is the nearest to -0.1 in 2\/5, q, -1.7, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*z - 4. Suppose 4*t = 8 + 12. Calculate the highest common factor of z and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -9*g - 3 + 11 - 4 - 8. Let z be f(-1). Let i be (6\/(-5))\/(6\/(-20)). Solve -s + 3*o = -5*s - 7, 0 = -i*s - z*o - 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 2\/15, 6.1, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 - 4. Let p be l(0). What is the units digit of 5\/2*p\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 - 15. Suppose n = -w*n. Suppose -3*c + n = -9. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 17  (b) 2  (c) -4  (d) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 3:29 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/8*576\/4968.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 48 + 2254. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11704440?\nAnswer: 2, 3, 5, 11, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + ((2 - 10) + 5 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k - 2*n - 9, -5*k - 5*n = -6*n + 28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 368 and 92?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.859218mg to nanograms.\nAnswer: 4859218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 + -1 + -2)\/1. Let k = 404\/689 + -27\/53. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/7 + 8\/(-28). Let k = -0.05 + 4.05. Let h = k + -6. What is the nearest to -1 in -1, n, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5963?\nAnswer: 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43837.\nAnswer: 59, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**2 + 6*q**2 - 2*q**2 + q**2 - 2*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/900 and -167\/6888?\nAnswer: 516600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of -x**3\/3 + x**2\/2 + x. Is 17 a factor of m(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 37104020*f**2. Let k(r) = -6*r**2. Calculate k(o(w)).\nAnswer: -8260249800962400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -792455340 divided by 23460.\nAnswer: -33779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 minus 12027?\nAnswer: -12026.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - 514402?\nAnswer: -514407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 PM and 1:56 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 5*u. Let j(c) be the third derivative of -c**5\/30 + c**3\/3 - 7*c**2. Let o(s) be the first derivative of j(s). Determine 3*l(d) + 4*o(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-5)\/(-15)*2)\/((-3)\/(-333)). Suppose 17*d - 12*d + 3*c - z = 0, -3*d + 54 = -3*c. Calculate the lowest common multiple of d and 2 + 0\/((-4)\/(-2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 279 - 6)*((-4*a + 5*a + a)*(-1 + 0 + 2) - 4*a + 4*a + 2*a) to k*a + b and give k.\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 270931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3722.902nm?\nAnswer: 0.003722902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert ddc1 (base 14) to base 4.\nAnswer: 21113311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72) - sqrt(2)) + -5)*-4.\nAnswer: -20*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5047, 9845, 14643?\n\"Answer: 4798*s + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71167.47 nanometers to kilometers.\nAnswer: 0.00000007116747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v**2 - 13*v + 340. Let f(k) = k**2 + 8*k - 171. Calculate 10*f(q) + 6*u(q).\nAnswer: -2*q**2 + 2*q + 330","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y**3 + 279*y**2 + 2690*y = 0. Calculate y.\nAnswer: -269, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 42\/(-10) - (-1)\/5. Let d = n + 4. Suppose d = k - 4*k + 3*q + 192, -5*k + q = -324. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 - 53*w + 93. Let n be m(52). Solve n*r = -10 - 72 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -33, 32828, 4 in descending order.\nAnswer: 32828, 4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 417902657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 566 a factor of 156494031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 480164015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7986146.\nAnswer: 2, 7, 47, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2793 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -4*o**3 - 601*o**2\/2 - 3574*o + 3360 = 0?\nAnswer: -60, -16, 7\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 3*k = 0. Suppose 5*o - 16 - 4 = k. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1302+54.637\nAnswer: -1247.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1062*o + 1295*o + 1337*o - 4020*o - 1.\nAnswer: -326*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 5*g + 8. Suppose -132 = -k - g*k. Suppose 2*t = -2*w + k, 101 = 7*w - 2*w - 4*t. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.09 and 3242110.105388.\nAnswer: 3242110.195388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 151152 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -137*j. Let a(v) be the first derivative of 6*v**2 + 877. What is a(f(z))?\nAnswer: -1644*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/68 and -11\/48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 2\/7, 0.2, 5, -426 in descending order.\nAnswer: 5, 2\/7, 0.2, -1\/3, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 56014*f**3 - 44065 wrt f.\nAnswer: 168042*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 4 + 3*k**2 - k**3 - 5*k - 5*k**2 - k - 6*k**2. Let p be n(-7). Let t = 22 + p. Calculate the remainder when t is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(-5*b - 2*b - 3*b)*(-3 - 2 - 3).\nAnswer: 80*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1835939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d + 3. What is the remainder when -3 + (0 - -110)\/1 is divided by i(12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48592*n**5 - 200*n**4 + 44976747*n wrt n.\nAnswer: 971840*n**3 - 2400*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 223, 223, 221, 217?\n\"Answer: -n**2 + 3*n + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - -5. Suppose 17*l - 12 = r*l. Suppose 4*p - 2*y = p + 14, 2*p = l*y + 12. Solve 9*w - 10 = p*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 120538.2ms?\nAnswer: 120538200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 64 = 5*l - 7 + 59, -3*j = l + 36 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(4\/3)*w\/(w\/(w**0\/w)*w)*w)**(-7)*(w**(-2)\/(w**(1\/2)*w))\/(((w*w**(-2\/15))\/w)\/(w**(-1\/4)*w)) assuming w is positive.\nAnswer: w**(-99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 543201.\nAnswer: 3, 17, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 171466632 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 4*k = 5*r + 201, -20 = 4*r. Let l be k\/605*(3\/(-2) + -1). Is l <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 216689235 - 10618170132\/49. Let j = -8114 - s. What is the common denominator of j and -82\/63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37673095 to the power of 1\/2, to the nearest integer?\nAnswer: 6138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 - 420*n - 42952. Calculate v(-244).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) - (sqrt(108)*-3 + -3)) + sqrt(15)\/(2*sqrt(5) + sqrt(5))*-4)**2.\nAnswer: 136*sqrt(3) + 4651\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.973 + -0.027. Let q = 1 + l. Sort q, -0.1, 4.\nAnswer: q, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 1. Is 4 + (-6 + l)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9237.3 + 9237. Let x = -3.3 - -0.3. Let g = x - -3. Which is the closest to 0.1?  (a) y  (b) -2  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 236950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 21. Let h = -94 + 156. Calculate the remainder when h is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/24172 and -47\/96.\nAnswer: 580128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2072 + 2087. What is the remainder when 519 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from pnnnvnjnvnxxkpxnnvjn.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/(-36) - 10\/45. Let t(a) be the third derivative of -1\/20*a**5 + 1\/2*a**4 + w*a + 0 + 1\/2*a**3 + 3*a**2 - 1\/10*a**6. What is g in t(g) = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 4*u - 10 - 4, 2*u - 2*w = 14. Suppose u*s + 45 = 2*d - d, -4*s = -12. Let m = 166 - d. What are the prime factors of m?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 19311\/(-1107) + (-8)\/(-18). Let i(w) = w**3 + 18*w**2 + 16*w - 20. Calculate i(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 81.7 - 37. Let u = b + -48.5. What is the third smallest value in 0.1, u, 0, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2 + 8*c - 9. Suppose -4*g + 4 = -5*y, -g - 3*y = -0*g - 18. Let x be z(g). Suppose -x*u + 10707 = -27093. Round u to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 139, 1195, 4073, 9685, 18943, 32759, 52045?\n\"Answer: 152*z**3 - z**2 - 5*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.14 + 10.14. Let d = z + -10.2. Let a = -205 - -204. What is the biggest value in a, 1\/2, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -0.5  (b) -11  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 46 = -m, -m - 4 = -g + 6. Solve -3*j = -6 - g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128433164839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p**2 + 12*p + 3. Let m(l) = -l**3 - 21*l**2 - 38*l - 7. Let k be m(-19). Give x(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -115, -6, -85, -5, -10 in ascending order.\nAnswer: -115, -85, -10, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110000101010 (base 2) to base 13.\nAnswer: -1557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 + -7. Solve g + 1 = a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/3, 2\/3, 264, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9 - (-1246)\/(-140)) + 11\/(-110). Solve -29*s + 38*s + 63 = p for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 1 + 5 + (-1 - -1). Sort -5, -14, m, -4 in descending order.\nAnswer: m, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3606 + -5730. Let v be (-2)\/22*2 - i\/66. What is the greatest common factor of 128 and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 75*y**3 - y**2 + y + 2. Let m(k) = -k - 6. Let w be m(-8). Let j be q(w). Round j to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + 5. Let g = -110047\/61 + 1804. Let o = 52\/183 - g. What is the fourth smallest value in -4, o, -3, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = -3*m - 2*u, -30 = -4*m + u + 83. Let o = m + 7. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 + 30*3\/(-15)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 26*x**2 + 6*x - 3. Let f(o) = -o**2 - 2*o + 1. Let h(y) = 3*f(y) + i(y). Let l(v) = -10*v + 6*v + 6*v. What is l(h(j))?\nAnswer: 46*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 13 - -1119198759\nAnswer: 1119198772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqlwelqqullqll. What is prob of picking 2 q and 1 u?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 334 is divided by 326.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -16540, -33086, -49632, -66178?\n\"Answer: -16546*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**5 - 240*n**4 - 686*n**3 + 1896*n**2 + 2776*n - 3744 = 0.\nAnswer: -117, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 44 = -5*p - 70, 3*p + 2*b + 70 = 0. Suppose -w + 4*w + 69 = 0. Let c = p - w. Solve 2 = -m - c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -1, 5\/2, -49?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(-3 - 7*y + 3)*((-5*y - y + 4*y)*(2 - 2*y - 2) - 95 - 40*y**2 + 95).\nAnswer: 252*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -1) + (-4)\/(-6)*-1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3767\/4 + -941. Let o = 0.1 - -0.1. Which is the second biggest value?  (a) y  (b) o  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 + 43. What is the remainder when 44 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 93007238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {k: 9, a: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177*x + 181*x + f - 49780 = 0, -f = 5*x - 62226. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + -ae2290?\nAnswer: -ae2294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 212*r**3*z + 1242717*r**3 - 627*r**2*z - 19*r**2 + 2962*r*z - z wrt r.\nAnswer: 1272*z + 7456302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-39)*60\/40. Suppose 2*j = 2*n + 10, -2*n = -n - 3*j + 9. What is the nearest to 2\/5 in 4, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3570 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 + 19*o - 93. Give h(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/632 and -58\/30573?\nAnswer: 244584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 445, 1015, 1823, 2971, 4561, 6695, 9475, 13003?\n\"Answer: 17*d**3 + 17*d**2 + 400*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3253  (b) 2.6  (c) -0.5  (d) -8  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, k: 4, l: 2, z: 1}. Give prob of sequence kkkq.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 0*v**2 + 4\/7*v**4 + 0*v + 8\/7*v**3.\nAnswer: 4*v**3*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 33*x**3 - 12*x**2 - 132*x + 48 = 0.\nAnswer: -2, 4\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + (2*4)\/2. Suppose -5*q - 12 + u = f, 2 = -q. Solve h + 5*z = -16, 3*h - z - 8 = -f*z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wddu when four letters picked without replacement from wudmd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*u - 2. Suppose u*m = -2*s + 13 + 1, -5*m - s + 15 = 0. Suppose -m*g = 5*y - 5 - 10, -9 = -g - 4*y. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2326, 6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 18 = 2*u. Suppose u*j - 745 - 375 = 0. Let n = -4258\/19 + j. What is the closest to 0.1 in 0.2, -0.5, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 + 23. Solve z - 9 = -2*l + 3, -z - d = -3*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26132837047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 45042525 <= -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 take away -0.2882814646?\nAnswer: -25.7117185354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**2 + 5*h + 13. Let w(k) = k**2 + 3*k + 6. Let u(a) = -2*m(a) + 5*w(a). Calculate u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 30 + 18 = -2 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u**2 + 178*u**3 - 34*u**3 + 3*u**2 + 26*u**3 + 28*u - 20*u.\nAnswer: 170*u**3 + 3*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 82\/24031335 and 64\/6345.\nAnswer: 216282015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5597581 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11184*r**2 - 149 + 149.\nAnswer: 11184*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47298?\nAnswer: 2, 3, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/40 and -101\/10034360?\nAnswer: 10034360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 9224561 times 3\nAnswer: 27673683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.9 and -79126.\nAnswer: -79125.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7956 - 11 - (7 + -1 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6849151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 14, 20, 22, 20, 14?\n\"Answer: -2*j**2 + 12*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2358676 - 1645987. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-64)\/(-24))\/(1736\/33201)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.15, 5, -154, -1, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/12*(-12)\/(-3). Let q = -4 - -15. Find the second derivative of 2*z - 14*z + 5*z**t - q*z**2 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 - -5 - (3 - 2\/(-2)). Which is the third smallest value?  (a) 0.02  (b) 4  (c) -2\/3  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 7, 59, -5, 5, -16 in increasing order.\nAnswer: -16, -5, 5, 7, 12, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 737 greater than -739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - 11. What is the third smallest value in 1\/2, -2\/21, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12128?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g - 5. Let i = 116 + -117. Let z(t) = 37. Let w(m) = 14. Let p(u) = -8*w(u) + 3*z(u). Calculate i*o(q) + 5*p(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -7*r - 1704640 - 1495845, -5*c = -2*r - 914405. What is r rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 482 = -468, 0 = 2*a - 2*c - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 q when three letters picked without replacement from {u: 6, j: 7, q: 4}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -614 + 362.6\nAnswer: -251.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 541 and -14283.\nAnswer: -13742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + x - 9*x = 0. Let o be (-1)\/(-1 + 2 + (x - -4)). Which is the nearest to 1?  (a) -6\/11  (b) o  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 = -3*k - u + 42, 5*k - 275 = 5*u. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.6 rounded to one dp?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -155 + 79. Let d = q + 109. Let j = d + -33.1. Which is the closest to -2\/11?  (a) j  (b) -2\/3  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -69 (base 11) to base 15.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12618017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**4*d)\/d)\/d**(-1\/6)*d*d\/((d\/(d\/d**(-8)))\/d)*d*d\/(d\/(d**(-3\/7)*d*d))*d assuming d is positive.\nAnswer: d**(787\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 21 + -cc0?\nAnswer: -c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 - 15. Suppose -4 = b*c + 16, -5*g = c + 4. Solve -2*m = 5*w + 11, g*m + 4*w = -2*m - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 545 and 4640.\nAnswer: 505760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.203 - -11.203. Let f be (-1 + 4)*55\/(-33). What is the nearest to d in 0.2, -0.3, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u. Let i(n) = -57546*n. Let f(a) = 257*a. Let t(h) = 897*f(h) + 4*i(h). Calculate p(t(j)).\nAnswer: -1035*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is 339492 divided by -56582?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 6:36 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 9. Suppose 5*p - 83 = s. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -o**4\/12 - o**2. Let w(d) = 2*d**2 - 2*d**2 + d**2 + 0*d**2. Calculate y(w(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -181 + 164 - ((19 - 0) + -45 + 45)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 6:51 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 96260 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -165*o**2 + 14. Let f(j) = -174736*j**2 + 14833. Let h(s) = -2119*b(s) + 2*f(s). Let d(v) = 5*v. What is h(d(x))?\nAnswer: 4075*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 0.12, 0.01234, 6\/11?\nAnswer: 0.01234","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 909, 1709, 2295, 2559, 2393, 1689, 339?\n\"Answer: -18*w**3 + w**2 + 923*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2\/4 + 3279*b.\nAnswer: -3*b*(b - 4372)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 650876 to the power of 1\/2, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/(-10))\/(70\/8975). Let o = 103 + v. Which is the fourth biggest value?  (a) o  (b) 1  (c) 32  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52258.68 millilitres to litres.\nAnswer: 52.25868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12*(-10)\/930)\/(10*(-3)\/30*1).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -1231*z**2 - 4*z - 4. Let x be q(6). Let g be (16\/(-3))\/((-1)\/((-2742)\/(-4))). Let n = x - g. What is n rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, k: 5, b: 4, e: 6}. Give prob of picking 3 e and 1 b.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r**(-6)*r)\/r*r*r*r*r)\/r**(-5)*(r**(-2\/3))**(1\/55))**(-4\/3) assuming r is positive.\nAnswer: r**(-3292\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4665\/(-12)*(19 - 47). Suppose -21*x + 2366 = -b. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of -u**4\/4 - 58*u**3\/3 - 265*u**2\/2 - 7520. Factor v(r).\nAnswer: -r*(r + 5)*(r + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53851 rounded to the nearest one thousand?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 18*r**2 - 45*r + 20. What are the prime factors of x(9)?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2412 is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3\/14)\/o*o**(3\/10))\/(o*o\/(o\/(o\/(o\/(o**1\/o*o*o)))))**(1\/2) assuming o is positive.\nAnswer: o**(-169\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -6.7*-0.4\nAnswer: 2.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + 2)*5 + 10037. Let x = w + -210605\/21. Find the common denominator of x and -83\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 52.7 + -53. What is the smallest value in 0.2, 1, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from zczzmczmcccz.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:23 PM and 6:48 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 88057527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 425*x**3 - 1 - 759*x**3 + 639*x**3 + 1.\nAnswer: 305*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of 1\/120*x**5 + 1\/420*x**7 + 1\/80*x**6 + 168*x**2 - 1\/6*x**3 + 0 - 1\/16*x**4 + 0*x. Factor f(p).\nAnswer: (p - 1)*(p + 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -43*l**2 - 1694*l - 11. Calculate n(-38).\nAnswer: 2269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36, -446, -1586, -3822, -7520, -13046, -20766?\nAnswer: -31046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -81*p + 38. Determine f(4).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + i + 5. Let o be p(0). Suppose -5*h - o + 30 = 0. Suppose -2*j = -h*j + 99. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 137380 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 4*g - 1. Let k be -2 - ((-21552)\/(-81) + -1). Let i = k + 267. Which is smaller: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 - 16569\/765 - (32\/272)\/(4\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3.81 * -8595\nAnswer: 32746.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 5*z - 11 - 8 = 0, -3*z = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/2))**7*(t**1)**(-41))**30 assuming t is positive.\nAnswer: t**(-1335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2750, 7028, 11306, 15584?\n\"Answer: 4278*m - 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -33201 (base 5) in base 8?\nAnswer: -4375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2*-2*sqrt(117) + -4)**2 + -5.\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 34, 0, -5, 75, 1, 0.7?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6\/5)\/(6\/15). Let l(z) = -4 + 3 + z**3 + 2 - 5*z - w*z**2. Let u be l(5). Solve -5*o - v = -u, 0*v = -5*v + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + c - 38. Suppose -44*h - 10 = -49*h. Calculate the remainder when c is divided by (10 + -3)\/28*h*22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 46 and 14674?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4\/5  (b) -0.0362  (c) -4  (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 307493 + -180046. Let k = 14911480\/117 - y. Let b = -23\/13 + k. Put 0.4, b, -1\/4 in descending order.\nAnswer: 0.4, b, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of -t**5\/80 - 3*t**4\/32 - t**3\/4 + 4*t**2. Factor p(h).\nAnswer: -3*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -5 - (756\/(-7))\/6 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 7 = i, 4*n = 3*i + n - 12. Suppose -1 = v, v + i = 2*z - z. Suppose z*o + 19 = o. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zegzeaaeaz. Give prob of picking 1 g, 1 z, and 1 e.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-1*2 - -3). Suppose 4*i + 2*r - r + 16 = 0, r = c*i + 5. What is the units digit of -1*(-1 + 9\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 + 5*x + 3. Is t(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7546 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (28 - -15) + (0 - 0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -19*i - 336*i + 6035 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -955 - -953. Let u be 1*-5*(-1)\/5. Sort b, 5, u, -5 in decreasing order.\nAnswer: 5, u, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(27\/(-6)) + 1078\/66. Let q(o) = o - 23. Give q(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of f**4\/4 + f**3\/2 - 3*f**2 - 3*f + 4. Let j(p) be the first derivative of k(p). Factor j(n).\nAnswer: 3*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35357, -35356, -35355, -35354, -35353, -35352?\nAnswer: -35351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -58475 * 126\nAnswer: -7367850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19.887 + -19.886982622. What is m rounded to seven decimal places?\nAnswer: 0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x - 420 = -4*x + 82*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26\/4 - (3 - (-95)\/(-38)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 35879*i**4 - 66*i**2 + 22358303?\nAnswer: 143516*i**3 - 132*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k - 1. Let m be o(1). Suppose -4*u = -n + 78, -3*u + 204 = 3*n - m*u. Suppose -6*p + p + n = 0. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -1\/11, 0.76, -1.51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 986 divide 21929047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3\/2  (b) 2\/9  (c) -3  (d) 1\/2  (e) 6  (f) -18\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 92, -60 in descending order.\nAnswer: 92, -1, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -41*m**3 - 862*m**2 + 7*m + 596. Calculate v(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 125*i**5*y - 8613*i**4*y**2 + i*y**2 - 9*i*y + 4777*y**2 - 5 wrt i?\nAnswer: 2500*i**3*y - 103356*i**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 8:10 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -24b9 (base 13) in base 8?\nAnswer: -12146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/2))**(-6\/5))**(-9)*y*y**(-9)*y*y\/((y*y*y**(-8)*y*y*y)\/y)*y**(2\/7)\/(y\/(y\/((y*y\/y**(-1\/3)*y*y)\/y))) assuming y is positive.\nAnswer: y**(37\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from nnnonnnnnnnn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1)*(y*y*y*y**(-2\/7)*y*y)\/y)**(-13\/7) assuming y is positive.\nAnswer: y**(-247\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11643336 to the nearest integer?\nAnswer: 3412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 503842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/8*8\/(-1). Let m be 112\/18 + p\/27. Let i be -3*(2 + (-22)\/m). Solve o = 6*o + i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -108*z - 61*z - 17 + 217*z as a*z + j and give a.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, -36, -82, -146, -228?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 487410929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65 = f - 5*f + 3*q + 74, -f + 49*q = -147 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 4. Solve -4*u + m = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 0*p**2 - 4*p**2 + 5*p**2 + 2*p**2. Let y(j) be the second derivative of j**3\/3 + 178*j. Give y(s(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26572743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * -44457850.\nAnswer: 4445785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 827957 is divided by 1539?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 3:55 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -536*y**3 - 1602*y**2 - 1054*y + 12.\nAnswer: -2*(y + 1)*(y + 2)*(268*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1836007038?\nAnswer: 2, 3, 17, 6000023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -154 + 171. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)\/sqrt(128) - (sqrt(612) + sqrt(17) + 1)) + (3*(sqrt(153) - (sqrt(153) + sqrt(153)*-2)))\/(sqrt(900)*-1 + sqrt(9)).\nAnswer: -89*sqrt(17)\/12 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 45193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 5*g + 5. Suppose 0 = 6*t + 12 - 60. What is the remainder when x(t) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b + 8. Let s be r(-6). Let i be -3 - (0 - s - -3). What is the second biggest value in i, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 25*s. Suppose 1051404 = 9*x - 386211. Let j(i) = -2*i + 159735 - x. What is h(j(a))?\nAnswer: -50*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1130880445 a multiple of 1326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -6*q + 2*q - q**2 + 6 - 2*q. Let s be c(-6). Let a be (-4)\/(-3)*s\/4. Solve a*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 15*p**2 - 6*p + 7. Let v be a(2). Let c = v + -23. What is the greatest common factor of 224 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 3) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2199 + 1136 = -88*d + 2721. Solve -49 = -d*r + 37 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3076*b**2 - 346*b + 173*b + 173*b + 3068*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 11, 34, 95, 206?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - 6\/10)*5. Suppose 0 = 4*k - 3*p - 28, -4*p - 8 = -3*k + 13. Let g be 6\/(-21) + (0 - (-58)\/k). Solve 0 = -l*h + 4*c + g, 0 = -3*h + c + 2 + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 1212 = -7*o. Let m = o - -215. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**3 - 7*x**2 - 16*x + 49. Determine s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/1*(-1)\/2*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7*(-119)\/49 + (-4)\/1. Suppose -5*k + 10 = 0, 0 = -3*f + 4*k - 9*k + y. Solve 5 = 2*b + f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4764)\/(-3970)*230\/12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -3*q - 10. Let i be w(-6). Suppose u + 4 = 2*a, -6*a + 3 = -3*u - 3*a. Calculate the remainder when 17 is divided by 54\/i - -2 - u\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 790*r - 32619 - 21930 = 9272 - 14051 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(336\/32 - (3 - 1)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 323 = -328, 5*z - 3*u = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85 and 884.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-80)\/(-28)*-3)\/(336\/1568)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 112 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 25, 43, 81, 145, 241, 375?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7\/2, -4\/45, 2\/1597.\nAnswer: -7\/2, -4\/45, 2\/1597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of 0*w + 0*w**5 + 0*w**4 - 2*w**2 + 0*w**6 - 1\/210*w**7 + 1\/6*w**3 + 0. Differentiate n(l) wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (-14 - (-9 + -7)) + 3 + -27\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -5, 5*u + 1 = -4*s + 12. Suppose 0 = -5*i + s + 1. Calculate the remainder when 2 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 571*l - 5 + l**2 - 5 - 571*l.\nAnswer: l**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 4*u**2. Let z(j) = 10*j - 2. Let d(y) = 11*y - 3. Let m(w) = -2*d(w) + 3*z(w). What is m(a(r))?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36, 75, 114?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2065*j**3*m**2 + 91*j**3*m*q**2 - 359*j**3*m + 10*j**2*m**2*q**2 wrt m.\nAnswer: 4130*j**3 + 20*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(0 + 3) - -4. Let r(i) = i**2 - 3*i - 3. Let f be r(g). Let d(q) be the third derivative of -q**6\/20 - q**4\/12 + q**3\/6 - q**2. Determine d(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 44) + (-155 - -183)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**3 + 0*z**3 + 0*z**3)*(10*z**2 + 10*z**2 - 9*z**2).\nAnswer: 22*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 5, -2*g - 30*x + 26*x = 6227220. What is g rounded to the nearest 10000?\nAnswer: -3110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -37515*q - 15274*q**2 + 37515*q + 43631*q**2 in the form j*q + f + k*q**2 and give k.\nAnswer: 28357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4873.476 rounded to the nearest 10?\nAnswer: -4870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 31 = 3*o, -2*o + y = -y - 18. Suppose -2*j + 4*j - 60 = 0. Calculate the remainder when j is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6277 - 6287 - (21 + -2 + 0 - 2)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -86\/1250073 and 47\/8052.\nAnswer: 5000292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/692060 and -35\/18.\nAnswer: 6228540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*(-1 + -3 + 2). Suppose -5*j = -p*j - 60. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.5348 - -5.95. Let k = 0.4 - d. What is k rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/1325 and -34\/24892775?\nAnswer: 24892775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 4*a**3 - 4*a**2 + 3*a - 5. Calculate u(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(272) + 3)**2 - 1*sqrt(34)\/sqrt(2)) + -4.\nAnswer: 23*sqrt(17) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of 7\/150*a**6 + 17*a + 0*a**2 + 0 + 1\/210*a**7 + 0*a**3 - 1\/5*a**4 + 1\/25*a**5. Factor h(n).\nAnswer: n**2*(n - 1)*(n + 2)*(n + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 7:21 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-5*2\/(-5)). Let y = 59 - 26. Calculate the highest common factor of h and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of -z**4\/12 + 2*z**3\/3 - 2*z**2 - 3*z + 6. Let s(a) be the first derivative of f(a). Give s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 4*f + 2333 = 0, 459*n = 457*n + 5*f + 986. Solve 15*c - n = -488 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-289)\/51 + (-15)\/(-9). Let l(d) = 3*d + 4. Let g(z) = -13*z - 17. Let o(k) = -2*g(k) - 9*l(k). Give o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1636?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74476949?\nAnswer: 17, 349, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of -h**8\/210 - h**6\/72 + h**3\/6 - 6*h. Let t(i) be the second derivative of r(i). Find the third derivative of t(m) wrt m.\nAnswer: -192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 11 + 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3113 and 44?\nAnswer: 12452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from dbgbxdgdgd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 432071\/66 - 6546. Let s = p + -4\/11. What is the nearest to -1 in s, 4, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 773, 1299, 1849, 2435, 3069, 3763, 4529?\n\"Answer: 2*r**3 + 512*r + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of 0*f**3 + 0*f + 0 + 0*f**4 + 3*f**2 - 1\/60*f**5. Let b(s) = -4*s. Calculate n(b(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -1\/92, 879763, -3\/5?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of x**4\/7 - 8*x**3\/21 - 8*x**2\/7 + 32*x\/7 + 3. Determine r so that w(r) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 33*y - 134. Let x be z(4). Put x, -3, 0, 10 in increasing order.\nAnswer: -3, x, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*m + 19 = 0, -54 + 9 = -5*n + 5*m. Suppose 12*g = 8*g + 64. What is the highest common factor of g and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - 5*x**2 - 4*x + 7. Let d be u(-3). Let s = 4 + -6. Let c be 6\/(-4)*s - d. Solve t + c*o + 1 = 0, -6*t - o + 13 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -48, -292, -954, -2250, -4396, -7608, -12102, -18094?\nAnswer: -25800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (6 - (25 - (8 + -1))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31.53282666 + 18.53282653. Let y = 0.11 + -13.11. Let z = y - r. Round z to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 401 - 90. Let l = 146 - p. Let v = l + 2143\/13. What is the nearest to 1\/7 in v, 5\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23105 and 1210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4603089793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from vovoobblebo.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 25*s. Let d(q) = -q**2 + 9*q - 3. Let v(u) = -2*u**2 + 15*u - 5. Let r(a) = -10*d(a) + 6*v(a). What is o(r(l))?\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 17*g. Let i(c) = -275807*c. Give y(i(z)).\nAnswer: -4688719*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1663*h**5*v**2 - 2*h**3*v**2 + h**2*v**2 - 104*h**2 - 5*h*v**2 wrt h?\nAnswer: -99780*h**2*v**2 - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 - -6) + (-2 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mymm when four letters picked without replacement from {m: 1, y: 3, b: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2070, -2041, -2014, -1989, -1966, -1945?\n\"Answer: -i**2 + 32*i - 2101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 - -30. Let n = 42 - j. Let i be 2\/(-3 - -2 - -19). What is the third smallest value in 5, n, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -452710, -905733, -1358756, -1811779?\n\"Answer: -453023*y + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20652, 41219, 61786, 82353, 102920, 123487?\nAnswer: 144054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 0.4, -2, 8, -0.08?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25723308 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1861, 3663, 5465, 7267, 9069, 10871?\n\"Answer: 1802*g + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(1\/(8\/(-12))). Which is bigger: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 21  (b) 60\/11  (c) 16  (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -266258131.\nAnswer: 266258134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -219, -2, -1, -117 in decreasing order.\nAnswer: -1, -2, -117, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13145 - 13139. Which is the closest to -2.7?  (a) -2\/5  (b) u  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1909 - -1511158353.\nAnswer: 1511156444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 7:50 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n**3 - 8*n**2 - 13*n + 11. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -4*d + 70 - 24, 5*d = -o + 26. Suppose -6*l = l - o. Suppose 2*a + 48 = l*a. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.077*-117827\nAnswer: 9072.679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = -5*l + 40, 8 = -2*d + 2*l - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1494 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: Collect the terms in -1409*d + 386*d - 203*d + 5*d**3.\nAnswer: 5*d**3 - 1226*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*o - 4*o - 2*o + (-o - 3*o + 3*o)*(2 + 1 - 4) + 56 - 13*o - 56 to the form t + r*o and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 39926173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41 - -35. Let x(l) = 4*l + 25. Let b be x(m). Solve 5 = d + b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 5*a - 60 = 0, -8*a + 3*a + 15 = 0. Let i(x) = -3*x**2 - 46*x + 12. What are the prime factors of i(s)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 5*q + 124 = y, q - y = 26. Suppose 5*p - 14 = 6. Suppose -2*c - p = -24. Calculate the greatest common divisor of q and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -8*z**2 - 7*z + 9. Let o(u) = -7*u**2 - 6*u + 8. Suppose -4*f - 30 = f. Let c be 10 - 5 - (-4)\/2. Calculate c*o(v) + f*y(v).\nAnswer: -v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 42694544?\nAnswer: 213472720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4791.1 + -4791. Which is the nearest to x?  (a) 3  (b) 5  (c) 2\/11  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of 8*w**4\/3 - w**3\/3 + w**2\/2 - w. Suppose 2*j + j = -4*g + 19, 3*j + 1 = g. Is u(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6236  (b) -2  (c) -525  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -5143, 4, 2 in descending order.\nAnswer: 5, 4, 2, -4, -5143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6803733 to the nearest integer?\nAnswer: 2608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*i**3*x**2 + 12*i**3*x + i**2*x**4 - 3*x wrt x?\nAnswer: -6*i**3 + 12*i**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 AM and 6:05 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 12*d. Let p(x) = -x. Let s(m) = 3*m + 19. Let w(q) = 4*p(q) + s(q). Let k be w(17). Let o(h) = -3*h - h + h + k*h. Calculate o(r(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + 12 + -29 - 6 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5942529 a multiple of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 1462224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 16 = -5*o + 4*w, -w = -1. Suppose t + 3 - 2 = 0. Sort o, -3, t in descending order.\nAnswer: t, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4402 - 2167 + 2*w - 2127.\nAnswer: 2*w + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 28\/16 - (-2)\/8. Let k(s) = 5*s**2 - 23*s - 42. Let x be k(-24). Suppose -5*z + l*z + x = 0. Round z to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -526\/337, 2\/17, 1\/2 in ascending order.\nAnswer: -526\/337, 2\/17, 1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -571, -572, -573, -574?\n\"Answer: -x - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 5*i + 14 = 5, -2*u - 2*i = -18. Let x = -0.06 + -0.34. Sort 0.1, x, u.\nAnswer: x, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -424 + 428. Put a, -1\/7, 326, 0 in descending order.\nAnswer: 326, a, 0, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2945822135\/286 - 133834030\/13. Let z = k + -5152. Is z equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from xxxqxqqhhqqqh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 835 and 14.\nAnswer: 11690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p**5 + 3*p**5 + 0*p**2 + 2*p**2 - 5*p + 5*p + p**5 + (p - 1 + 1)*(2*p**4 + 4*p**4 - 5*p**4).\nAnswer: 5*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8267 + -8262. Solve 0 = t - 5*v - p - 2, -4*v - 14 = -5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1710735961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*5*(-5)\/(-50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -1 + (1 - (-2 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43 + 56. What is the remainder when 557 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 32  (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*o - 222 = -140 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 1471*s - 43*s + 426*s.\nAnswer: 1854*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.077 times -0.02?\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + 0*5\/10. Solve -f*h = -x + 2, 4 = 3*h + x + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 278\/9 + -92\/3. Let l be (-2)\/(-12) - 11\/12. Let o = 19 + -21. Which is the second smallest value?  (a) o  (b) t  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 466 divide 1462774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*u + u + 216*u**2 - 233*u**2 wrt u?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/((j\/j**1)\/j))**13*j*j**3*j**(-1\/5)\/j)\/(j**(-4)*j**4)**(-9\/5) assuming j is positive.\nAnswer: j**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 5*q = -51, -3*s + 15 = -4*s + 2*q. Let w = 3 + 1. Sort -5, s, w in descending order.\nAnswer: w, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 - (-9)\/(-4 - -1). Suppose 140 = 4*l + 4*r, 146 = 4*l + r - a. Suppose 3*t = l - 1. Calculate the remainder when 47 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = w + 35, 0 = -187*y + 190*y + 3*w + 51. Let n = -542\/7 - -78. Are n and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25 + 28. Suppose s*u + 18 = 6. What is the smallest value in -1, -2\/15, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 4 = 2*q, 0 = 3*k + 3*q - 12. What is the third biggest value in 5\/12, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113690 is divided by 18936?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 3*y)*(-y - 1 + 1) - 17*y + 7*y**2 + 17*y.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8428 + -8450.034. Let y = k - -22. Round y to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/18 - (-228)\/513.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150) + (sqrt(150) - sqrt(150)*1))\/sqrt(3).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -4. Let w = l + 1. Suppose 5*d + 2*t - 1 - w = 0, 0 = -d - t. Solve -5*x - 3 = 5*b + d, -4*b - x = -8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -397865512.32 minus -0.2?\nAnswer: -397865512.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*u = 4*n + 70*u + 18, n + 2*u - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 2*g**2 + 8*g - 12. Let c be q(6). Let p = c + -162. Suppose -3*i + 150 = -p. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2*u - 13. Suppose u - 88 = -3*o. Suppose -3*x + o = 7. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*l - 2*l - 4*l)*(-2 - 1 + 2)*(-50 + 97 + 88).\nAnswer: 135*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 + -12. Suppose 0 = j*t - 3*t - 4*n + 21, 2*n + 2 = 2*t. What is the remainder when 30 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1150*t**6 - t**5 - 64*t**3 + 834374*t**2 - 1?\nAnswer: 138000*t**3 - 60*t**2 - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31284419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 168*d**3*h**2*i + 3*d**3 + 7*d*h**2 + 2*h**2 wrt i?\nAnswer: 168*d**3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 4*z**2 - 10*z - 9. Let a(d) = 2*d**3 - 3*d**2 + 10*d + 9. Let x(w) = 2*a(w) + 3*h(w). Let o be x(-7). Solve c = 0, u - 4*u - 5*c = -o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*a + 4*a - 27*a + 9*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 4*m - 21 = 0, -8*m - 17 = -3*v - 3*m. Let x = v + 5. Solve 0 = c + x, 5*c + 32 = 3*z - 0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-321)\/(-5) + 1 + 18\/(-15). Suppose -p = -8*j + 16. Suppose 62 = 5*l - 4*f - 55, 0 = 5*l + 3*f - 131. What is the greatest common factor of l and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -114*z**4 + 5*z**2 - 4*z + 204. Let o(d) = 57*d**4 - 3*d**2 + 2*d - 102. Let b(n) = 3*f(n) + 5*o(n). Differentiate b(h) with respect to h.\nAnswer: -228*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.09, 0.9, 0.071?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -50570 (base 8) in base 11?\nAnswer: -14740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*d - 11*d + 23*d.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*r**5 - 426*r**4*z**2 + 66*r**2*z - 160*r*z**2 wrt r?\nAnswer: 360*r**2 - 10224*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*i**2 - 187*i**2 + 3*i**2 - 175*i**2 - 112*i**2 - 4*i to the form v*i + w + r*i**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 + z. Let k = 3 - 5. Let a be 1\/(1\/(0 - 2)). Let h(o) be the third derivative of -o**5\/30 - o**4\/24 - 6*o**2. Calculate a*q(d) + k*h(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 694*y + 193. Let i(v) = 231*v + 72. Give -5*b(t) + 14*i(t).\nAnswer: -236*t + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -23*w - 1. Let c(t) = 2*t**2. Give g(c(p)).\nAnswer: -46*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*k + 105 = -7*k. Let h = k + -40. Which is greater: h or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 95407  (b) 4  (c) -0.4  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 982 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/2 + -2)*(-16)\/8. Suppose d*o + 6*z = 3*z + 1586, 1262 = 4*o - z. What is the remainder when o is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 13*g. Let l(t) be the third derivative of -235*t**4\/24 - 2*t**2 - 47. What is -110*j(z) - 6*l(z)?\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9534402107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48901606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-29)\/(783\/513) + 23. Let l(k) be the second derivative of 0 - 15*k + 0*k**3 - 1\/2*k**2 + 1\/6*k**h + 4\/5*k**5. Give l(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8832*n - 10726*n = 153414 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i*i*i**(8\/7)\/i)\/((i\/(i*i\/((i*i\/(i*i*i*(i**25*i)\/i)*i)\/i)))\/i))**(-6))**(-5))**(-17) assuming i is positive.\nAnswer: i**(-107610\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*f - 149 = -2*v, -5*v + 208 = f. Let g = v - -119. Suppose -3*j = j - g. Round j to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from {c: 1, y: 1, x: 1, j: 1, z: 2, d: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 210 divided by -70?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (2*1*sqrt(99) + 4)**2 + -2.\nAnswer: 48*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + o - o)*(13 + 181 + 50).\nAnswer: -244*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -941740*t*w**3*y**3 - 125*t*w**3*y + t*w*y**2 + 15*w**3 - 8*w**2*y**2 wrt y.\nAnswer: -5650440*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110110000 - 0?\nAnswer: 1110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-91 - 1 - 176)*(-2*d + 2*d + 2*d)*(4*d + 3*d**4 - 4*d - 2).\nAnswer: -1608*d**5 + 1072*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42*0.5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of l**7\/7 - l**6\/6 - 173*l**4\/4 + 1190*l**3\/3 + 3389. Find the third derivative of s(w) wrt w.\nAnswer: 120*w**3 - 60*w**2 - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 3*r**2 - 3*r - 4. Let w be i(4). Let n(g) be the first derivative of -g**4\/4 + g**3\/3 - g**2\/2 + 3*g + 3. What is n(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*l + 6 = -6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*y**2 + 113*y + 118*y - 342*y + 111*y.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4\/2)\/((-6)\/(-3)))\/(-120*12\/2880)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.2 + 2. Let d(s) = -s**3 - 3*s**2 + s + 3. Suppose 0*f = -4*f + 4*z - 16, 14 = -4*f + 2*z. Let m be d(f). Is m > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 258700699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 4*f**3 + 4*f**2 + 2*f + 3. Is y(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t - t - 5*q = -35, 2*t - 21 = -5*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2748611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/2  (b) 16  (c) 66  (d) 6  (e) 0.3  (f) -0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.0056 - -159394983?\nAnswer: 159395008.0056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 9045*u + 27190. Give s(-3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/76 and -97\/288?\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -9.1807 and -373117.7.\nAnswer: -373126.8807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5373)\/(-8358))\/(36\/14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**2. Let t = -66 + 94. Let s(i) = -9*i + t*i + 6*i. What is w(s(b))?\nAnswer: 1250*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zcks when four letters picked without replacement from ccukukcszwckksu?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -173 (base 10) to base 2.\nAnswer: -10101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*y - 75 = 261. Let n be 10*(-1)\/y*3. Find c, given that -2\/3*c + 1\/3*c**3 + c**4 + 1\/3*c**n + 0 - c**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -2 - 14, 2*y + 4 = 4*n. Suppose n*f - f + 16 = 0. Calculate the common denominator of -55\/4 and (-2 + 3)*26\/f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 4*b + 47 = 0, -4*a - 291 = -6863*b + 6835*b + 89 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -179361 divided by -1.\nAnswer: 179361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 + -17. Solve -5*b + 2*p - 14 = 11, 0 = -u*b + 3*p - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -70741 and -12?\nAnswer: 848892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2257*d - 164768. What is c(73)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 15*p**2 + 16*p + 23. Let m(l) = 6*l**2 + 6*l + 8. Give 17*m(y) - 6*r(y).\nAnswer: 12*y**2 + 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 0 - (-34 - (-3 + -24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4993019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence phnf when four letters picked without replacement from rpdnfdh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-145)\/20 + 3 + 3.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -23\/3*p**4 - 4\/3*p**2 + 0*p - 16*p**3 + 0 = 0.\nAnswer: -2, -2\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l**2 - 95*l + 1073. Let p be x(18). Calculate the greatest common divisor of p and 5027.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 - 4*j + 24. Give x(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -43, 1\/6, -1, 3?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -390 + 390 + 2*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -17*w. Let c(o) = -8*o. Let d(y) = 13*c(y) - 6*g(y). Let b(j) = 7*j**2. Determine d(b(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -139776721\/4 <= -34944179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13\/35 + 1\/35. Let k = 0 + 0. Suppose 4 = -4*q - k*q. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of 183*p**4\/2 - 209*p**3\/3 + 206. What is the third derivative of y(k) wrt k?\nAnswer: 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) - sqrt(108)*6 - sqrt(27)\/sqrt(9)*4) + ((sqrt(3) + -3 + sqrt(3))*2 - (sqrt(300) + sqrt(300)*3 + sqrt(300))))*-5.\nAnswer: 30 + 425*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 54*w + 4. Let t(m) = 81*m + 7. Let i(c) = -7*r(c) + 5*t(c). Let o(u) = -2*u. Let h(z) = i(z) + 6*o(z). What is the derivative of h(a) wrt a?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 + -16. Let a be (2223 - (5 + r))\/(-1). What is a rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = 4*u - 8, -5*u - 10 = -x - 10*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19 and 2527.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 57452*y**2 - 40*y + 68. Let d be n(4). What is d rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77 divided by -6?\nAnswer: 77\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1, -4.1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7283 + -7278. Solve -302 + 297 = v*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 18 = -3*t, t - 1 + 3 = 0. Is 8 a factor of ((-8)\/(-6))\/(2\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25978044?\nAnswer: 2, 3, 67, 79, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of -s**2 - 11305. Let i(o) = -o**2 + 2313*o. Give i(r(y)).\nAnswer: -4*y**2 - 4626*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 35438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 1\/4, -3, -0.4, 0.033, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 56 + -52. Suppose 0 = 2*m - 5*j - 95 + 5, c*m + 3*j = 180. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.037 times -4459\nAnswer: -164.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -40*o**3 - 16. Let k(t) = -1. Let s(m) = 3*k(m) + p(m). Differentiate s(h) with respect to h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4235939 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-4)*(-27)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2084 and 64604?\nAnswer: 64604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 58*g**3 + 4883*g**2\/3 + 34412*g\/3 + 2156\/3.\nAnswer: (g + 14)**2*(174*g + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -397 + 29 = -4*r. Let f = 94 - r. Let o = -21 + 27. Solve -f*w + o*w + 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/5288384 and -11\/165262?\nAnswer: 5288384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - 10*l + 25. Suppose 5*w - 5 = -2*i, 9 = 3*i - 6. Let f be 1*(15 + -4)*w. What are the prime factors of q(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10.54, 2\/45, 3, 6\/23 in ascending order.\nAnswer: -10.54, 2\/45, 6\/23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -5*u**3 + 607235*u**2 - 2428880*u + 2428860 = 0.\nAnswer: 2, 121443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -16f2 - 326?\nAnswer: -1a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 1:20 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -54*(-32)\/168 - 4\/14. Let q be (-95)\/361*(-4)\/v. What is the closest to 0 in 4, q, 25?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 - 9*g + 19. Suppose -5*s - 17 = 13. Let l be c(s). Suppose -138 = -39*o + l*o. Calculate the greatest common divisor of 23 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 2:19 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + m + 496, -4*m = 4*d - 9*d + 484. Suppose 366 = a - d. Suppose 8*k - 94 - a = 0. What is the remainder when k is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11101 times 0.5\nAnswer: -5550.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 0*w - 5*w + 110 = 0, 2*h - 72 = -2*w. Let p be (-6)\/9 - h\/15. Let v(k) = k + 1. Calculate v(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41843281 to the power of 1\/2, to the nearest integer?\nAnswer: 6469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4 = -5*k + 3*h, h = 1. Suppose 4 - k = d. Solve d = 3*y - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -37158 and 3100.\nAnswer: -115189800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/5 and 199\/2850.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 7*n**2 - 10*n + 1. Let q be a(5). Let l be 6\/(-8)*24\/(-9). Let g(t) = -l*t**3 - t + 3*t**3 - 6*t**3 - 2*t**3 + t**2. Give g(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/60 and -37\/26742.\nAnswer: 267420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24 - -2. Let z = r + 13. Are 0 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*v - 9*v + 32 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/(v*v*v**(3\/7))))\/v**(6\/7)*(v*v**5)\/v*v**(5\/2) assuming v is positive.\nAnswer: v**(127\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 1\/3, -4\/9 in ascending order.\nAnswer: -4\/9, 1\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*p - 8 = 4*h - 14*p, 4*h = -4*p - 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 247 and 741.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -63 - (-2028 - -1895).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 w, 1 d, and 1 y when four letters picked without replacement from {g: 1, w: 2, d: 2, j: 1, y: 1, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3618 - -3637. Calculate the greatest common divisor of s and 665.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -9*x**8\/56 + 209*x**5\/30 - 28*x**2 + x. Find the third derivative of u(l) wrt l.\nAnswer: -3240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1703251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 25 = -3*h, 2*c - 4*h = 12. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 74.86 - -0.74. Let v = -76 + f. Which is the second smallest value?  (a) v  (b) 2  (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8085647120 a multiple of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 112694062133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -23*x**3 - 36*x**2 + 65*x - 92. Let u(v) = 31*v**3 + 38*v**2 - 67*v + 93. Let y(h) = -4*k(h) - 3*u(h). Calculate y(28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -28*a**3 + 3*a + 3. Let f(p) = p**3 + p + 1. Calculate -3*f(r) + x(r).\nAnswer: -31*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/3  (b) 85  (c) 179  (d) 5  (e) -8  (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of 0 + 0*b - 1\/24*b**4 - 1\/40*b**5 + 0*b**3 - 1\/240*b**6 + 11*b**2. Factor u(x).\nAnswer: -x*(x + 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-3\/10)*o**(-2\/3)*((o\/(o\/(o\/(o\/(o\/o**(-4))*o))))\/o)**(2\/15) assuming o is positive.\nAnswer: o**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/6 + (-9)\/(-6). Calculate the greatest common divisor of 6 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 - 16. Suppose v*n - 99 = -0*n. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (135\/720*4\/27)\/(((-9)\/(-40))\/9)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*w = 6437 + 517. Calculate the remainder when 4879 is divided by w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22031310112 (base 4) in base 5?\nAnswer: -1141144123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2494323 + -4?\nAnswer: 2494319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.1  (b) 2  (c) 41  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2790*y - 1805 + 344*y + 596 + 611 + 598.\nAnswer: -2446*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 46 - 706. Let d be (-15)\/18*x\/50. Which is smaller: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.767098 centimeters?\nAnswer: 7670980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.96 - -1. Let v = i + 0.36. What is the second biggest value in v, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 114*34\/(-204).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 5*q**3 + 13*q + 3. Let g(n) = -2*n**3 - 6*n - 1. Determine 8*g(d) + 3*z(d).\nAnswer: -d**3 - 9*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/112)\/((-27040)\/(-1664))?\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of (290\/3)\/2 + (-6)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 + 7. Let r = 2.2 - -0.8. Let d = 3.99 + 0.01. What is the third biggest value in r, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t + 2. Let u be y(0). Suppose u*r + 1 = d, 4*d - 3*r - 4 = -4*r. Solve 1 = p - d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-2 + -6) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-62 - -51) + (-652)\/(-60). What is the third biggest value in 1\/53, m, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.313 less than 233?\nAnswer: 233.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 11:23 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (162\/(-324))\/((-1)\/18)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -2 + (62 - 66)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -4117*v + 226431. Give a(55).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/10 - (-3)\/((-15)\/2). Suppose -4*i - s - 4*s = 1573, a = -5*i - 3*s - 1963. Let k = 963 + i. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 66\/84*11504\/(-1043988).\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(34) - sqrt(374)\/(sqrt(66)\/sqrt(6)))*5)\/(-1*sqrt(2)*-3 - (-1*sqrt(2) + sqrt(2))*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + ((-21)\/(-3) - (-4300)\/215).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7134 is divided by 509.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 13*m**2 + 10*m. Let u(g) = -2*g. Give n(u(w)).\nAnswer: 52*w**2 - 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 726794.\nAnswer: 2, 363397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-3)*(-34)\/4. Suppose 0*w + 8 = 4*w - f, -2*f + z = 3*w. What is the closest to -2\/3 in -2\/5, 1, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(405)*-3)**2 + -3)*2*6.\nAnswer: 43704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - 14*t**2 + 28*t - 33. Let c be o(12). Find the first derivative of -c*n - 15*n + 93 + 58*n**3 + 18*n**3 + 2*n**4 + 30*n wrt n.\nAnswer: 8*n**3 + 228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -190*b + 4. Let m be g(1). Let z = 829\/4 + m. Find the common denominator of z and 6\/3 - 102\/(-28).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 84 - (11 - -147) - (2 + -6 - (-1 + 3)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -45105 - -2841701\/63. What is the common denominator of y and 86\/441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 99*w*x + w - 2*x + 172 wrt x?\nAnswer: 99*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (40\/(-10))\/((-84)\/2)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 - 2*b - 1. Let f = -107 + 108. Let m(j) = 13*j - 9 - 8*j**2 + f + 12. Let u(c) = m(c) + 6*n(c). Give u(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, t: 6, q: 8}. Give prob of picking 3 c.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 162\/(-162) + (-2)\/(22\/97) + 10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-112)\/(-12)*172\/(-129)*18\/(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of 5*o**4\/24 + 7*o**2\/2 - 5*o. Let w(i) be the first derivative of c(i). Let h(l) = l. Calculate w(h(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**5*i**(-10)*(i\/(i**(-4\/7)*i))**(-10\/7) assuming i is positive.\nAnswer: i**(-285\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -50455?\nAnswer: -50452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 2) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2600027431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*x - 8 - 22, 2*j + 2*x = 23 - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 403 divide 1129609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3089467?\nAnswer: 61, 50647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -3*x**3\/5 - 1962*x**2\/5 + 3933*x\/5 - 1968\/5 = 0?\nAnswer: -656, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jniviuzv. What is prob of picking 1 i and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -111001111111 (base 2) to base 14\nAnswer: -14d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 + 7*l + 17. Let t be x(-2). Is 14 a factor of 146 - (3 + (t - 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 527 is divided by 172.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - 1\/2. Let u = -0.85 - 0.15. What is the biggest value in u, -3, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 4)*(2 - 2 - 2*c)*(4*c - 4*c + 2*c**2).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 + -17. Find the third derivative of -5*u**3 + 5*u**2 + t*u**3 - 2*u**2 - 4*u**3 wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tcycz. What is prob of sequence tttz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 38007583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 340160 and 1294720?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26843\/6 + -4484. Calculate the common denominator of n and 70\/(-18)*(-2 + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-2) - 135\/30. What is the units digit of (14\/4 + g)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -40 - 195. Let b be (-1)\/4 + c\/20. What is the common denominator of (3 + 72)*(-4)\/b and 89\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -2*w. Let j(z) = -z**3 + z**2 + z. Let p be j(0). Let v(l) be the third derivative of 0*l + p*l**3 + 0 - 1\/8*l**4 + l**2. Give v(k(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/73836 and -101\/13724.\nAnswer: 253331316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -111220130 + -32?\nAnswer: -111220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 449744 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 - -8.6. Which is the closest to 1\/4?  (a) t  (b) 2  (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -149*h**3*v + 30*h**3 - 321*h - 23*v wrt h.\nAnswer: -894*h*v + 180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - -18)*(-1 + -2). Let s = -32 - c. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 0.5, -1\/2, -2 in ascending order.\nAnswer: -2, -1\/2, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a4 + 2?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2020197976?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1430521 (base 7) to base 11.\nAnswer: -121565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c\/c**(1\/3))\/c*c)\/c*c)\/(c*c**(-17)))\/((c**(-5)*c)\/c**(-9)) assuming c is positive.\nAnswer: c**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 288650073\/7 or 41235725?\nAnswer: 41235725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -82 + 120. Let x be (-6)\/(-7)*154\/66. Suppose t = 5*d - x. Calculate the highest common divisor of 40 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6790671um to centimeters.\nAnswer: 0.00006790671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(64)*1)\/(2*sqrt(512)) + 2*3*(sqrt(392) + -3 - sqrt(392)))**2.\nAnswer: 9*sqrt(2)\/2 + 10369\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 489349116?\nAnswer: 2, 3, 43, 347, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = 3*q + 35, -4*q - 46 = -832*j + 830*j for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 66859928 to the power of 1\/3, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 + -26. Suppose i = -17*v + 19*v - 68. Let t = v + -34. Solve t = 3*p - 3*j - 6, -p - p - j - 11 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9, -10, -11, -12, -13, -14?\n\"Answer: -r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 31 = -5*m + 2*d, -m = d + 3. Let q = 8 + m. Solve -t + 4 = -q*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 c, and 2 n when four letters picked without replacement from cuhnrhhlurrrncrhrc.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -5  (b) -24\/7  (c) -8  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z**2 - 12*z - 4. Let b be a(-8). Let w be ((-1)\/2)\/(3\/(-378)). Let t = w + b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12298 is divided by 2450.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -548020*s**2 + 108*s - 2736.\nAnswer: -1096040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -102157\/3 + 34053. Factor 8\/3*j + 0 + 2\/3*j**4 - b*j**3 - 8\/3*j**2.\nAnswer: 2*j*(j - 2)*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25154212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.922543671 to 4 dps.\nAnswer: -1.9225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 0*m - 2*s - 118, 5*m - 515 = -5*s. Let c = m - 59. What is the remainder when c is divided by (5\/50 - 8\/(-20))*(-40)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 5*p + 59 = -4*p, 64 = 2*a - 4*p. Suppose -h = -6*h + a. What is the units digit of ((-3)\/h*2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 181859, 363720, 545581, 727442?\n\"Answer: 181861*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1136\/(-1740) + (-4)\/(-6). Let y = 12\/29 - u. Which is the nearest to y?  (a) 6  (b) 1\/2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 173\/1055628 and -18\/595.\nAnswer: 89728380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 10 = -16*j + 21*j, 0 = 4*j + 2*l + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1193*m*o**3 - 587*o**3 wrt m?\nAnswer: 1193*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -276 = -2*w - 10*w. Find the second derivative of w*f**5 + 15*f + 14*f**5 + 8*f + 15*f wrt f.\nAnswer: 740*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 4*y - 71, -y = -3*c + y - 41. Let q = c + 15. Solve -q*f = -5*r - 0 + 13, 4*f = -8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 385 divide 14611135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (56*p**3 - 52*p**3 - p**2 + 2*p**2)*(0 - p + 0).\nAnswer: -4*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 0)\/(4\/(6 + 14)). Let l be (-10)\/(-2) + -4 + i\/6. Factor 2\/3*o**2 + 2\/3*o + l.\nAnswer: (2*o + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 AM and 3:44 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 9*o - 28. Let i be x(8). Let a = i + -44. Solve a = 2*y - y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 107 = -3*k - 97, 20*z = 2*k - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 4*w = 2, 3*w = 8 - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide (-4 - -15)\/(5*6\/660)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 + 18*b**2 + 39*b + 22. Let z be q(20). Let g(n) = -9*n**z + 7*n**2 + 1 + 3*n**2. Give g(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m**(-2\/17)\/m*m))**(-43))**(-39) assuming m is positive.\nAnswer: m**(31863\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 34098 + 7849 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t**2 - t**2 - 2*t**3)*(0*t + t + t) - 341*t**4 + 86*t**4 - 233*t**4 - 5*t**4 + 12*t**4 + 2*t**4 to g*t + u + i*t**3 + c*t**2 + w*t**4 and give w.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*w*z**4 + 5*w*z**3 - 96*w*z**2 - 2255*w*z - 3*z**2 wrt z?\nAnswer: 36*w*z**2 + 30*w*z - 192*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16376 is divided by 4093.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.1?  (a) -4\/9  (b) -26  (c) -1  (d) 5  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*l**3*r - 28*l**3 - 4*l**2*r + 3*l*r + 189*r wrt l?\nAnswer: -24*l*r - 168*l - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -0.5, -34, 0 in increasing order.\nAnswer: -34, -0.5, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*l = 3*d + 14*l - 18, 0 = -3*d + 5*l + 18 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 6:26 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -64?  (a) -5  (b) -4  (c) -12  (d) -19.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, q: 7, a: 2}. What is prob of picking 3 g and 1 q?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3168*k - 3054*k**2 + 6048 + 74*k**5 - 192*k**5 + 48*k**4 + 67*k**5 - 129*k**3 + 54*k**5 = 0 for k.\nAnswer: -12, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45 and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 230*n**2 + 5. Let o(k) be the third derivative of k**4\/8 - 3*k**2 - 146*k. What is r(o(q))?\nAnswer: 2070*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 73 + -98. List the prime factors of (-8440)\/s + 27\/(-45).\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (494\/(-6669))\/(2\/6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 AM and 10:03 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-1 - (6 + -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/4, 0.3, 0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -20848358 divided by 18598\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 265*v**4 + 673 wrt v.\nAnswer: 1060*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 806 + -1266. Let c be ((-72)\/(-10))\/((-1)\/5). What is the tens digit of d\/c + 4\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 4*m - 5 = 5*r, m = 4*r + 14. Let n = -485 + 148. Let p = n - -338. Solve 3*v + p = m*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 36.3842 minutes?\nAnswer: 2183052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (8 - (-7 + 18 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43 + 55. Suppose s*u - 51 + 3 = 0. Solve -3*c = 2*t + t - 6, -c - 3 = -u*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66 - (5 + (-29 - -50) - (13 - 0)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -d**5\/6 + 9*d**4 - 26*d**3\/3 - 9*d**2 + 53*d\/6 = 0.\nAnswer: -1, 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -6 + 2 + -2 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-49)\/(-5) + (12996\/564 + -23 - (-6136)\/(-611))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1108397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2599140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(96))\/sqrt(6))\/(sqrt(8) + (sqrt(8) - 3*sqrt(8)*4)) + ((sqrt(36)\/sqrt(2) - sqrt(18))\/sqrt(9)*-4*-3)**2*6.\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 684713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -15, -33, 1, -13, 5 in descending order.\nAnswer: 5, 1, -5, -13, -15, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -278, -245, 7, -1, 0 in descending order.\nAnswer: 7, 0, -1, -245, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 3) + (5 - 1) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58057?\nAnswer: 58057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 541\/3 or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*m + 14*m + m**2 - 4*m**2 + 2*m + 2 in the form n*m + o*m**2 + s and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14.11 + 14. Let h = d + -5.89. Let q = -5.99999979 - h. Round q to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 2*x = 5*q - 229, q - 69 = -5*x. Suppose 0 = -5*i + q - 549. Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 224109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - 7. Let h(m) = 10*m**2 - m - 1. What is the tens digit of h(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*n**3*z + 933*n**3 + 4*n**2 + 454*z wrt n.\nAnswer: 72*z + 5598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*i + 1128 - 31*i + 15*i + 735 in the form u*i + h and give h.\nAnswer: 1863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(10) - 5*1*sqrt(10))\/(sqrt(4)\/sqrt(2)*4 - sqrt(2)).\nAnswer: -4*sqrt(5)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -960207178 divided by -11126.\nAnswer: 86303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -5*p**2 - p - 27. Let u(h) = h**2 + 7. Let k(j) = -t(j) - 4*u(j). Let x(f) = -f**2 + f - 1. Determine -3*k(g) + 3*x(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 397 and 348169?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.067961ml to litres.\nAnswer: 0.007067961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 + 469*q + 35532. Give n(-95).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.532566 centuries in years?\nAnswer: 553.2566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.045 + 0.115. What is d rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m - 1. Let u be y(2). Suppose -u - 9 = -5*d. Suppose d*a = -2*a + 128. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2423 + -1598. Calculate the greatest common factor of 425 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000004249 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - 122?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*b - 4. Suppose -2*a = -2*r - 12, 3*r = -3*a - a + 24. What are the prime factors of (a\/4 + b)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 964, 1621, 2716, 4249, 6220, 8629, 11476?\nAnswer: 14761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (12 - 40)\/(2*2\/(-64)). Let k = l + -232. Suppose 3*o - 2*d - k + 24 = 0, 3*d = 0. Calculate the highest common divisor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*u + 13*u - 45*u + 445208. Is 38 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 221275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -13591650 take away 12?\nAnswer: -13591662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -54 - -74. Solve 10*w + 30 = -j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -4*j. Let l(z) = -2*z**2 - 296*z + 15. Determine h(l(k)).\nAnswer: 8*k**2 + 1184*k - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -31, 449.479, 1.1, 0.1?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - 0.1. Let k = -0.14 - -0.04. Let y = k - j. Which is smaller: 1\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3 + 7*s + 0*s**2 + 1 - s**2. Let u be -2 + (1 - -1) - -6. List the prime factors of p(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 717565 at most 717564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(4\/3)*v))\/(v\/(v\/(v\/(v*v*v**(-1\/6)*v))*v)))**(-32) assuming v is positive.\nAnswer: v**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -358db (base 14) to base 2\nAnswer: -11111111010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1184)\/(-24)*(-30)\/55*(1 - 35\/(-20)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 41093\/6 - 6824. Find the common denominator of a and 23\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 PM and 1:27 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 26*r + 26. Let q be (-3)\/(-12) + (-66)\/(-24). Let b(h) = 5*h + 5. What is q*x(w) - 16*b(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 32352.33 decades in years?\nAnswer: 323523.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 165 + -167.68. Let m = 16.78 + x. What is m rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2826 - 2922) + 2 + 21\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26430 - 26433. Let z = 0.02 - 8.02. Let s = -8 - z. Which is the nearest to s?  (a) h  (b) -2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 34\/5 of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20561673 - 19474359 = -4*y + 4*r, 0 = y - 3*r - 10009024. What is y rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**3\/o)**(-27)\/(o\/(o\/o**(2\/19))*o\/o**(-7)) assuming o is positive.\nAnswer: o**(-1180\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 s when three letters picked without replacement from {z: 4, x: 3, s: 3, o: 6, c: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -2. Let d = 70.8 + -71.3. What is the closest to 0 in d, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5779057 litres in millilitres?\nAnswer: 577.9057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*v**2 + 3*v - 3*v + (-1 + 2 - 3)*(-382 + 89 + 630*v - 631*v)*(2 - 2 + v)*(0 + 0 + 1).\nAnswer: 7*v**2 + 586*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 91ca (base 14) to base 7\nAnswer: 133043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 9:03 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -320*a**3*p**4 + 107*a**3*p**3 + 410*a**3 - 131*a*p**2 + 4*p**3 wrt p.\nAnswer: -7680*a**3*p + 642*a**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 + 4*z - 1. Let y be k(-4). Let p be -1*3\/y - 0\/(-2). Suppose p*a + 369 = 5*l, -2*a + 24 = -2*l + 170. Round l to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2819.95 + -2820. Which is the fourth biggest value?  (a) -1\/59  (b) -1  (c) p  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of y - 112*y**3 + 49*y**3 - 16 + 16*y**3 wrt y?\nAnswer: -282*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -184, -1, -203 in ascending order.\nAnswer: -203, -184, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 11*o + 75. What is the least common multiple of n(-6) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 39 + 19. Let w = d - 15. Suppose -2 = 5*n + 3*z, 3*n = 5*z + 12 + w. Solve 6*k - n*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, k: 1, e: 3}. What is prob of picking 2 e and 1 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/196, 0.4, -2\/9, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 - 4*y**2 + 3*y - 5. Suppose 0 = c + 5. Let a be v(c). Suppose -a*f + 60 = 5*z, -2*f = 3*f - 3*z - 52. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r + 2. Let p be g(-3). Let w(v) = 0*v + 7 - v**2 - 2 - 2*v. What is w(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2407 + 2271.18. Let j = -134.929784 - a. Let n = j + -0.89. Round n to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**2 + 5*n**2 - 2*n**2)*(15 + 7 - 6)*(-4*n - 3 + 3).\nAnswer: -256*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b - 3*b**2 + 5*b + 0*b - 3*b**3.\nAnswer: -3*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -83 - -74. Let z be (245\/h - -2) + (-4)\/(-18). Sort z, 1, -3.\nAnswer: z, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5499*t**2 + 1 - 321*t**2 - 297*t**2 - 2*t + 2*t.\nAnswer: -6117*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 + 12*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 2)*(-11*z + 6*z + 17 - 13)*(5*z - 2*z + 2*z) as t + o*z**2 + c*z and give o.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2476 + -0.1524. What is the biggest value in -4, 2, y, -1, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 1.4, -0.1696?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-40*(-12)\/288)\/((-10)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -475  (b) 0.28  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + -9. Let y(p) = -6*p + 8*p + 0*p + k*p. Let q(t) = 17*t. What is y(q(l))?\nAnswer: 34*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v. Let p(t) = 91*t - 92*t + 60*t + 55*t. Determine p(h(x)).\nAnswer: 114*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 552546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*f, 2*k + 0*k + 3*f - 41 = 0. Suppose k = 3*y - 5. Let d be 25\/y - 22\/(-99). Solve 7*i - d*i - 2 = 2*j, -3 = i + 3*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8050 is divided by 6987?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-6)*(-36)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82988174.\nAnswer: 2, 199, 208513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 - 2*a + 2*a + (-78 + 78 + 21*a)*(-a + 1 - 1))*(-11 + 11 + 7*a**3).\nAnswer: -140*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7476793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -66872*m**4 - 89979*m?\nAnswer: -802464*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 12 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1824\/31 - -382337\/6448. What is the common denominator of d and -55\/64?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1855 = -17*m - 1719 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 9*z**2 + 4*z. Suppose 3*o + 2*f - 6 = -f, -f - 4 = -o. Let y be h(o). Suppose 41 = -5*r + y. Solve c - 2*c - 1 = 0, -4*c = -r*s + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*p + 2*p - 8*p)*(-3 + 3 - 2) + (2 + 1 - 2)*(-3*p + p - 4*p) + 2*p - 4 + 4 in the form x*p + w and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/10)\/((-564)\/60 + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*y + 21 = 14*y, -y = -3*v - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**33)**(-5\/4)*(i\/((i**(2\/41)\/i)\/i))\/i**(-9\/7) assuming i is positive.\nAnswer: i**(-42491\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 72869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 234979056 a multiple of 1053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**2 + 2. Let o be i(3). What is the highest common divisor of o and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -5*s**3 + 3*s**2 - 3. Let a(j) be the second derivative of 0*j**3 + 5*j + 13\/2*j**2 + 0 - 13\/12*j**4 + 21\/20*j**5. Give 6*a(i) + 26*f(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = f - 0, 2*v = -5*f + 31. What is the third derivative of -2*o**2 + 0*o**2 + 27*o**v - 16*o**3 + 3*o**2 wrt o?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7791 and 0.3.\nAnswer: -2337.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 - 3)*(-3*i - 19 + 19 + 5 - 5 - 22*i - 2*i + 5 - 5 + (-3 + 3 + 1)*(i - i + i) + i - 3*i + 4*i) - 3*i - 3 + 3 in the form g + z*i and give z.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -20581, -41041, -61377, -81589?\n\"Answer: 62*a**2 - 20646*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 278.95 + -273.95. Which is the biggest value?  (a) -1  (b) x  (c) 0.5  (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 86, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -13*d. Let u(y) be the first derivative of -3*y**2\/2 + 12. Calculate h(u(k)).\nAnswer: 39*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = -3*c + 14, 3*c - 21 = 4*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-647*p - 6 + 647*p + 10*p**2)*(2 + 5 - 1).\nAnswer: 60*p**2 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8453801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -15*l**4 + 11*l**3 - 794*l + 4266. Let d(p) = -8*p**4 + 6*p**3 - 397*p + 2132. Let a(j) = -6*b(j) + 11*d(j). Find the first derivative of a(m) wrt m.\nAnswer: 8*m**3 + 397","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 16\/9, 3\/11, 0.78, -89?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/4)\/((-2)\/(-4)). Suppose 5 + i = 2*c. Factor -2\/5*v**c - 2\/5*v**2 + 0 + 0*v.\nAnswer: -2*v**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6302 + -6297.903. Round f to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 720724582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 188.89 - 188.39. What is the closest to 8 in s, 3\/2, 0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 - 1 = k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -367012 or -2?\nAnswer: -367012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (15 - -2 - 11) + (-9 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 62 + 7 = -4*g - 1 + 26, a + 3*g = 3*a + 60 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, s: 1, c: 1, k: 1, m: 1, y: 1}. Give prob of sequence cy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20 + 19.8. Let w be (2 - 3)\/(18\/(-4)). Let r = 85.4 - 85. Sort z, r, w.\nAnswer: z, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 831902128 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -609, 1, 5, -2, -4, 4, -416 in descending order.\nAnswer: 5, 4, 1, -2, -4, -416, -609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 312440?\nAnswer: 2, 5, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 27*i + 25*i - 96*i + 15*i - 69 + 27*i.\nAnswer: -2*i - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 5720712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of 27*t**4 + 5*t**3\/3 - 7*t**2 + 22*t - 76. What is the tens digit of r(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4412930720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -1475*q**3 + 3*q**2 + 6*q - 5. Let l(x) = -1464*x**3 + 3*x**2 + 7*x - 6. Calculate -6*c(p) + 5*l(p).\nAnswer: 1530*p**3 - 3*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**3 - 4336*p**2 - 17296*p - 17280.\nAnswer: -4*(p + 2)**2*(p + 1080)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*p + 0*p + p)*(-18*p - 6*p - 125 + 22*p) in the form y*p + n + l*p**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 12:37 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h + 39. Let v be m(-17). Let k(o) = -o + 74. Let u be k(22). Suppose -p = -u + 47. Solve 0 = -2*x - p - v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-40012.\nAnswer: -80024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -0*c. Suppose c = -k + 2*k - 5. Let t = -12 + 25. What is the remainder when t is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by -8687.\nAnswer: -6\/8687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-10)\/4)\/((-20)\/24))\/(48\/464)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 241, 450, 625, 766, 873, 946?\n\"Answer: -17*w**2 + 260*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-5 + 1 - 1) + (91 + -52 - (16 + -1))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o*o**(-7))\/o)\/((o*o**(4\/5)*o)\/o))**(-7\/3) assuming o is positive.\nAnswer: o**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -329, -302, -261, -200, -113, 6, 163?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 159 a factor of 10242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 * -22717374\nAnswer: 227173.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -15  (b) -0.5  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 + 2*r - 9*r - 7*r**2 + r + 3 - 6. What is the tens digit of i(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-236)\/(-9) + 24\/(-108). Suppose 0 = l - v - 3 - 4, u = 5*l - 2*v. Solve -2*q + 14 = -2*a, -2*a + 6 = 4*q - l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -31425*r**3\/4 - 204263*r**2 - 5310877*r\/4 - 169\/2.\nAnswer: -(r + 13)**2*(31425*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 33926\/4*78\/39 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/17300 and 1\/1054620?\nAnswer: 912246300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 4*r - 235, n - r - 61 - 164 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*o + 243 = -187 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/5  (b) -1\/10  (c) 10  (d) 0.3  (e) -1\/618\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiaiiiiia. Give prob of sequence ia.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -604b9 (base 12) to base 14\nAnswer: -33861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -6*1\/(-10) - (-8)\/20. Suppose -1 = j, 4*l - j - h = 7*l. Suppose l = -q - 4*q + 300. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*s + 6631 = 68*s + 4120 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/8 of a centimeter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4.13 from -603.19.\nAnswer: -607.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -2. Suppose -f = x + 5 + 4, z*f + 3 = x. Sort -5, 4, f in decreasing order.\nAnswer: 4, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 2) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2916, -5954, -9050, -12234, -15536?\nAnswer: -18986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 31 - (28\/(-20) + (-36)\/(-90)). Suppose 2 = -a + 2*c - 2, 4*a = 2*c + 2. Suppose -4*t - t = -a*f + y, -t - 16 = -f. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 190062.5 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-35099.\nAnswer: 35099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -1, 3, -4, -5, -19 in decreasing order.\nAnswer: 18, 3, -1, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 112930842?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -306 - -308. Differentiate z*n - 24 - 95*n**2 + 211*n**2 - 99*n**2 wrt n.\nAnswer: 34*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -14*l + 8. Let r(g) = g - 1. Give -n(m) - 6*r(m).\nAnswer: 8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-three thirds of a week?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1442 or -141409\/98?\nAnswer: -141409\/98","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let q = 52496 + -2309981\/44. Let x = 15\/4 + q. Suppose -2\/11*c + x*c**3 + 0*c**2 + 0 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l**(-1\/2)\/l*l*l)\/l)\/l)\/l)**(-2\/55)\/((l\/l**2)\/(l\/(l*l**4)))*(l**0)**(2\/7)\/(l**(1\/7)\/(l*l**3)) assuming l is positive.\nAnswer: l**(73\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -31, -9, 35, 107, 213, 359, 551?\n\"Answer: x**3 + 5*x**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 times -11774\nAnswer: 7064.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*1091.\nAnswer: -436.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*20\/(-8) + 0. Suppose -3 = -c*s + 8*s. Which is greater: s or -7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -699, -2950, -6701, -11952, -18703, -26954?\n\"Answer: -750*q**2 - q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h - 2. Let z be p(4). Let w be z\/(-9) + 52\/(-9). Let k(c) = -c + 3 + 9 - 11. Let v(j) = 5*j - 6. Calculate w*k(t) - v(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 1 + 2 = 0. Let z = -4691.1 - -4691. Which is the second smallest value?  (a) m  (b) z  (c) -3\/2  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 2938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1012155417 to the nearest integer?\nAnswer: 31814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rjlfrjjjllhrljrllj. Give prob of picking 1 l, 1 f, and 1 h.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 40*a - 25. Suppose 11*o - 6*o + 90 = 0. Let v = o + 23. What is the hundreds digit of m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of 113*l**5\/20 - 332*l**2. Let k(v) = 2*v. Calculate k(n(p)).\nAnswer: 678*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8 + (0 - (-2)\/2). Suppose 1 = -2*w + 4*i + 3, 4*w = 3*i + p. Suppose j + 126 = w*j. What is the highest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - m + 3)*(1023 - 104*m - 1023)*(-3 - 2*m + 3).\nAnswer: -208*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 600925 by 559.\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 11*u + 8*u + 21875 = 0, 4*u = d - 10921. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1*j**(-1))**(-21)*(j**(1\/5)*j**(-2)\/j)\/((((j\/j**(2\/9))\/j)\/j)\/j*j\/(j**(4\/3)*j)) assuming j is positive.\nAnswer: j**(34\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 + 6*d + 8. Let b be j(-7). Calculate the greatest common divisor of 120 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14171 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 996*o**3 + 12*o**2 + 8*o + 11. Let r(d) = -2988*d**3 - 34*d**2 - 24*d - 32. Let b(x) = 4*r(x) + 11*w(x). Is b(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of z**4\/3 - 2*z**3 - 1956*z. Factor q(a).\nAnswer: 4*a*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 756273?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 1 + -454 + 383.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005796561 to 7 dps.\nAnswer: 0.0005797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 406212642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34068\/3507)\/(5\/((-420)\/8)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*r + 82*r - 251*r + 86*r - 1305*r**2.\nAnswer: -1305*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 81853 - 148*p + 0*p**3 - 81853 + 2*p**3.\nAnswer: 2*p**3 - 148*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**3 + 2*p**2 - 2*p**2)*(-4*p + p - p)*(2*p + 2*p + 0*p).\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4, -5, -18, -35, -56, -81?\n\"Answer: -2*r**2 - 3*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 3*z - 96 = 0. Let d = z + 40. Suppose 0 = -4*f + d. Solve 5*t - 7 = f*k, t + 0 + 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011011101 + 101?\nAnswer: -1011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = 2*i - 48. Let n = -26 + i. Suppose 0 = y - 3*y + n. Solve -4*v = -4*w - y, 5*w + 10 = -v - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from qlqtqqjlll.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26.092 + 26.042. Sort 5, 4.3, -5\/3, s in increasing order.\nAnswer: -5\/3, s, 4.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14409 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/711 and -17\/1116.\nAnswer: 88164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 + 1)*(0*b + b - 4*b)*(3 - 7 + 3)*(0 + 23 + 8) as l + v*b and give v.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 325 is divided by 162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -366024*j**4*t - 18*j**2*t**2 + 750756*t**2 + 1 wrt j.\nAnswer: -1464096*j**3*t - 36*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (45\/(-10))\/3*2. Which is the nearest to -1?  (a) i  (b) -5  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 56714\/27 - 2100. What is the common denominator of -16\/9 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -3\/4  (c) -0.4  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 2 = -3*u, q - 4*q + 4*u - 2 = 0. Let l be 6\/3*q\/(-10). Let f be (-22)\/16 - 9\/(-6). What is the second biggest value in 1, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (30\/175)\/((-4)\/10)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 316*m + 9080 = 22614 + 20278 for m.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.30945498107 less than -2?\nAnswer: -2.30945498107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-5)*(-5)\/2. Suppose -3*q + 28 = -5*f, 2*f + 2 + 14 = 2*q. Let c be (-5)\/2*(216\/20)\/9. Put c, a, q in ascending order.\nAnswer: c, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14952063 by 5.\nAnswer: 14952063\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -6*h + 13. Let g be p(3). Let c = -21\/5 + 69\/20. Let v = 13 - 12.9. What is the nearest to v in g, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4154501 (base 6) in base 3?\nAnswer: -101020222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {t: 6, n: 3, r: 1, m: 4, o: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4\/9 - 43\/36. Let p = -1.29 - -0.79. Which is the third biggest value?  (a) u  (b) 3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2050.2134 rounded to the nearest ten?\nAnswer: -2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -21893.\nAnswer: -21895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -47.758 + 47.7. Let d = 68.942 - m. Which is smaller: d or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 2 + 0)*(-2*k - 2 + 2) - 1 - k + 1 - 5*k - 51955 + 3*k + 52003 to v + h*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 11*u**6\/120 - u**5\/60 - u**4\/24 + 2*u**2 + 2. Let j(c) be the second derivative of i(c). Determine j(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -4161791.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 - 4\/6)*-3. Let n(k) = 2*k**3 + 6 + 5*k**2 + 5*k + 2 - k**3 - 3. Determine n(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (67 + 12*m - 67)*(-2*m + 2 - 2) + 0*m + 0*m + 2*m**2 + 0*m**2 + m**2 - 2*m**2 in the form v + k*m**2 + q*m and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27 + 47. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 20*h**5 + 20*h**4 - 8*h**2. Let j(n) = -7*n**5 - 7*n**4 + 3*n**2. Let i(x) = -8*j(x) - 3*k(x). What is t in i(t) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6424 by 2.\nAnswer: -3212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w + 1921 - 1921. Let l(n) = -34*n. What is l(x(i))?\nAnswer: -68*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2*6\/24*-1496?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-13)*4\/24. Is z > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-4 - 935\/(-235)). Suppose 4*h - 10 = -m, -x*m = -50*m + 2*h + 2. Determine z so that -1\/6*z**3 + 0 + 0*z + 1\/3*z**m = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1700)*2 + sqrt(1700) + 1*sqrt(1700)*5 + sqrt(1700))**2.\nAnswer: -180*sqrt(17) + 137701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 4*u**2 - u - 5. Suppose 0*v = 5*v - 15. Let x = v - 7. Let n be (-1 - 1)*x\/2. Determine a(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 6  (b) -6  (c) -380  (d) 28  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4 - ((-2 - (-4 - 3)) + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -38*d*i**2 + 4*d + 2*i wrt i?\nAnswer: -76*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/5595 and 11\/121225?\nAnswer: 363675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 448534.899995 + -448536. Let v = 1.21 - 0.11. Let p = v + r. What is p rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/13599950 and -43\/3416?\nAnswer: 54399800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -351*x - 3377. Give y(-5).\nAnswer: -1622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/84 and 49\/2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of -8*l + 8 - 7\/2*l**2. Differentiate y(u) wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - (-3180)\/105 - 17)\/((-148)\/(-259))?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2011 (base 6) to base 8\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - 29*a**2 + 1. Let o be p(29). Let s be 5 + ((-132)\/28)\/o. Let n = 0.57 + -0.07. What is the closest to s in -2, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 7:17 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/(-3)*((-276)\/(-8) - 3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 bigger than 56.394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6473*q**2 + 13*q + 5?\nAnswer: 12946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 4*x + 12. Give y(11).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*5*(1 + sqrt(252) + 4) - (sqrt(2835)*1)\/(sqrt(500)\/sqrt(4)))**2.\nAnswer: 1590*sqrt(7) + 192592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -3*v**2 + 2*v**2 + 16*v**2 - 7*v**2. Let o(x) = -1161*x. Calculate o(n(c)).\nAnswer: -9288*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 PM and 10:20 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 7*g. Let o(n) = -5*n. Let q(f) = 110 - 208 + 101 + 10*f. Let d(c) = o(c) - q(c). Determine d(m(h)).\nAnswer: -105*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 588402 and 7566.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -142325?\nAnswer: 142322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26 - 22. What is the common denominator of ((-435)\/(-700) - b) + (-9)\/(-21) and -145\/54?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -581029.\nAnswer: 2\/581029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5439595 - 0.26?\nAnswer: 5439594.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*(y*y\/y**3)\/y))\/y**(2\/3))**32 assuming y is positive.\nAnswer: y**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1475544*x - 1475544*x + 300*x**3 - 6*x**2 + (2*x - 2 + 2)*(0*x**2 - 2*x**2 + x**2) to v*x**3 + r + u*x + q*x**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.728516 litres in millilitres?\nAnswer: 3728.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from {o: 4, p: 9, k: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13*k**2*u**6 - k**2 - k*u**2 - 9 wrt u?\nAnswer: 1560*k**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -237\/8 - -30. Let y = -7\/24 - h. Let n = -231\/5 - -46. What is the smallest value in -1, y, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tjd when three letters picked without replacement from djtdjtzjdztjezzxdd.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -2\/27  (b) 3  (c) -79\/2  (d) -1  (e) -3\/8  (f) -0.048\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 139, 158, 177, 196?\n\"Answer: 19*z + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 24*w**2 - 29*w - 23. Calculate j(-25).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12223 is divided by 40.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -3*z**3 + 5*z**2 + 2*z - 2. Let c(p) = 14*p - 7*p + 0*p**2 - 10*p**3 - 7 - 11*p**2 + 27*p**2. Calculate -2*c(i) + 7*k(i).\nAnswer: -i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9478429?\nAnswer: 71, 133499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3\/8 + 8*r**2 - 121*r\/8 - 93\/4.\nAnswer: -(r - 62)*(r - 3)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -f**5\/2 - 19*f**4\/2 - 27*f**3 + 63*f**2 + 567*f\/2 + 405\/2 = 0?\nAnswer: -15, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 1015 = 3*s, -2*i = i + 2*s - 590. Calculate the highest common divisor of i and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46929 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2036*i - 36604. Suppose g = -3 + 102. What is the smallest common multiple of g and v(18)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1822 (base 15) to base 4.\nAnswer: -1101113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(2\/29))\/(q*q*q\/q**3))\/((q\/(q**(-4)*q)*q)\/((q\/(q\/(((q*q**(-19)\/q)\/q)\/q)))\/q)) assuming q is positive.\nAnswer: q**(-756\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2417*w**3 + w**2 + 6*w + 13. Is m(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssov when four letters picked without replacement from oososovoossoooosvoo?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/745455 and -133\/2028.\nAnswer: 503927580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nknnnknnnnnnnknnnknn.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-621879994)\/7 - (-654)\/(-763). Round f to the nearest one million.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 152 + 83 = 0. What is the remainder when 280 is divided by g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -331212031 (base 4) to base 3.\nAnswer: -110211002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 111010553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.15, -16, -111, 0.5, -155 in descending order.\nAnswer: 0.5, 0.15, -16, -111, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 214425?\nAnswer: 3, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5181518 a multiple of 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**5 + 3*d**5 + 0*d**5 + (-d**5 - 3*d**5 + 5*d**5)*(-82 - 82 + 161).\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*k + 325 = -o + 357, 4*k = -4*o + 52 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -54065\/16 + 3381. What is the common denominator of g and 29\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -1.1. Let z = -0.9 + x. Let h = 2 - 6. Which is the biggest value?  (a) z  (b) h  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -11*i + 44. Let k(b) = -6*b + 25. Let l = 497 + -490. Let p(y) = l*k(y) - 4*t(y). Calculate p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8387 + -2727.6.\nAnswer: 5659.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2435  (b) 224  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -75.7, 0.4, 8.\nAnswer: -75.7, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + 51*n**2 + 43*n - 278. Calculate u(-50).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4*f = -27 + 23, 0 = u + 5*f - 14. Solve 3*c + 14 = -a, -4*a = -6*a - u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001230277 rounded to five dps?\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.07*-2.1.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -77034111, -154068223, -231102337, -308136453, -385170571, -462204691, -539238813?\n\"Answer: -x**2 - 77034109*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2759 + 2760. Let m = -6 - -9. Suppose 0 = -2*d - m*d + 20. Which is the second biggest value?  (a) d  (b) 0.3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of -w**3\/3 + 2*w**2 + 7*w - 2. What is h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 + -13. Let d be h\/(-6)*15\/10. List the prime factors of 63\/(-35)*(-6 - d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.50262 - 0.71602. What is g rounded to two decimal places?\nAnswer: 5.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l - 1. Let d(z) be the first derivative of -3*z**2\/2 - 2*z - 17. What is -6*d(f) + 13*o(f)?\nAnswer: 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06, -43, -1\/12 in increasing order.\nAnswer: -43, -1\/12, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52665150, 52665152, 52665156, 52665162?\nAnswer: 52665170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36 + 8 + 2*a**2 + 16 + 10 + 2215*a - 3*a**2.\nAnswer: -a**2 + 2215*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (13\/((-1274)\/28))\/(45\/35)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of 29*r**3\/6 - 112*r**2 + 3473*r. Give a(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -8, -75, -2, 2 in decreasing order.\nAnswer: 3, 2, -2, -8, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 97202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6300?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/7 + (3 - (-111)\/(-21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of b**4\/24 + 9*b**3\/2 - 34*b**2. Let j be z(-19). Calculate the greatest common factor of 20 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56 and 2044.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 6 = 1. Let m = 636\/5 - 128. Suppose 0 = 4*d - 13 + 1. Put d, k, m in decreasing order.\nAnswer: k, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/5, 1\/8, 0.388, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 51*u**2 - 105*u + 13. Let v be r(2). Which is smaller: v or -1\/13064?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -341 (base 10) in base 11?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 164 - 789*f - 81 - 83 + 3 - 2*f - 3 + 4*f - 2*f - 3*f + (-f - 2*f + f)*(-1 + 2 + 0) - 4*f + 5*f - 3*f + 0 + 0 - f + 3 + 2*f - 3 + f + 2*f - 5*f.\nAnswer: -797*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 708 = 5*u - m, 2*u - 2*m - m - 278 = 0. What are the prime factors of u?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13*-25031.\nAnswer: -325403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 1819 = 1818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 59819067 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - (129 - 0))\/(-2). Let o = w - 65. Let t = -5 + 4.7. Which is the nearest to -0.1?  (a) 0  (b) t  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 214 = 5*l, -4*h + 139 = 3*l + 5. What is the greatest common divisor of l and 3297?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 77 = -241. Suppose -k = -10*w - 14. What is the greatest common divisor of w and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 - 5. Suppose -k*i + 467 = 82. Suppose -2*x = 2*p - 218, p - 3*x - 44 = i. What is the greatest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 168*j**2 - 538*j + 128. Give l(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 402 divide 96480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000001010001001110 (base 2) in base 9?\nAnswer: 446646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**3 + 0*n**3 - n**3 + (0*n - 3*n + n)*(0*n**2 + 0*n**2 - n**2).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7*(1 + (-2)\/14). Let u(c) be the first derivative of c**2\/2 - 12*c + 12. Determine u(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - -6. Suppose 3*a - d - 1 = 0. Suppose p + 39 = a*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24634 is divided by 70?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 793 is divided by 186.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(6\/13)\/(i\/i**(-2)) assuming i is positive.\nAnswer: i**(-33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 2*z + 6 = 5*f, 3*f = 2*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 934 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 + 215524045?\nAnswer: 215524047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = i - 3, 6*r = 5*r - 5*i + 15. Suppose r = -5*w - 0*w + 10. Which is the closest to 0.1?  (a) 5  (b) -0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -279, -566, -861, -1170, -1499?\n\"Answer: -w**3 + 2*w**2 - 286*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 20462.24 decades?\nAnswer: 2046.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - 119*h + 597. Give z(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qiqinqqqiiqiirnnqqr. Give prob of sequence qr.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000303071684 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 10) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35, -32, -7, 52, 157, 320, 553, 868?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t - 2. Suppose -2*a + 10 + 0 = 0. Let c(j) be the third derivative of j**4\/6 + 2*j**3\/3 + 6*j**2 + 1. Determine a*v(f) + 3*c(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-7 - 120\/(-18)). What are the prime factors of r*(-5 + 215\/(-15))?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 152631 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3647 and 33865.\nAnswer: 237055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 PM and 6:26 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3067 is divided by 3057?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.173 > 1503.86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.11  (b) 5  (c) 1.4  (d) -5  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 85 - 92. Let b(g) = g + 1. Let j be b(3). Suppose 4*p + j*r = -11 - 5, -p - 12 = -3*r. Which is smaller: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 252+-858461050224\nAnswer: -858461049972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -14\/5, 2, 0.0199?\nAnswer: 0.0199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5378070 (base 9) in base 16?\nAnswer: 2c0a1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k - 6. Let q(t) = 3*t + 13. What is 5*o(f) + 2*q(f)?\nAnswer: -4*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -2. Let z be ((-12)\/(-9))\/(2\/3). Let h be z\/(-72)*-2*4. Which is the smallest value?  (a) 4  (b) v  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-18)*l)\/l)\/(l**1*l)*l**(2\/41)\/(l*l**(-1\/2)))**(3\/8) assuming l is positive.\nAnswer: l**(-5031\/656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 29365.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*p = 64*p + 25, -x = -4*p - 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6*(-14)\/(-126))\/((-4)\/(-6)). Let n(r) = -24*r + 12. Let b(w) = -w - 1. Calculate j*n(g) + 12*b(g).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 5.8. Which is the second biggest value?  (a) 1  (b) o  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 73.9 - 76.9. What is the closest to -3 in 0, t, 0.6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -37  (b) -2  (c) 11  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4560951503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3460881884 to the power of 1\/3, to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152 - 2*y - 3*y + 4*y - 45 + 2*y.\nAnswer: y + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 756 and 840.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from mhtqmut.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 380\/23 - 2614\/161. Which is the nearest to -2\/3?  (a) -0.2  (b) -1  (c) r  (d) -12\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -3\/4  (b) -0.2  (c) 3\/7  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t - 1. Let o(c) = 98*c + 2. Let j(g) = -6*d(g) - o(g). Let h be j(-4). Let z = h + -241. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*v**5 + 3678*v**3 + 3*v**2 + 471.\nAnswer: 120*v**2 + 22068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 8*c - 2. Let s(q) = -4*q + 1. Suppose -5*g - 5*n = -n + 10, -3*g - n = -1. Determine g*v(j) + 5*s(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-66)\/(-4)*138\/207. Solve -f + 24 = 13*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*i + 3*i - 2*i)*(425 - 3*i**2 - 426 + 9*i - 7*i**2) to the form m*i + r + l*i**3 + f*i**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -96 < -289\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.014764079 rounded to 4 dps?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/4  (b) 12  (c) -2118\/11  (d) 0  (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 2:42 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-22)\/(-12) + (-20119373)\/(-786)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 458145?\nAnswer: 3, 5, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3150 + 1007?\nAnswer: -2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/(-3))\/(12\/(-468)). Let x be (-4 - (3 - r)) + 1. Solve -s = 3*s + x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 261 and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**3 - 2*w**3 - w**3 + (-w**2 - 1 + 1)*(-2*w - 2*w + 6*w) - 2*w**3 + w**3 - 3*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 37397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 96242\/13 + -7403. Put -2\/5, j, 0.094 in descending order.\nAnswer: j, 0.094, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 2 t when four letters picked without replacement from {x: 7, m: 2, t: 2, w: 1, h: 7}?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of -1\/12*r**5 - 1\/24*r**4 + 3*r + 7*r**2 + 0 - 2\/3*r**3. Let q(h) = -h**2 - h - 1. What is m(c) - 4*q(c)?\nAnswer: -c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of 1\/26*h**4 - 3\/13*h**3 - 1\/390*h**5 + 0 - 6*h**2 + 0*h. Factor j(o).\nAnswer: -2*(o - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of r**5 + 6575*r**3 + 3*r**2 + 101869*r wrt r?\nAnswer: 20*r**3 + 39450*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - j + 30. What are the prime factors of m(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 4*z - x, 5*z = 2*x + 1 + 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2332, -4665, -6998, -9331, -11664?\n\"Answer: -2333*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = 2*b + 464. Suppose b + 64 = 3*u. Round u to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37024, -37044, -37068, -37102, -37152, -37224, -37324, -37458?\nAnswer: -37632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wddd when four letters picked without replacement from wwwdwdddddddwddd?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -297663 * -0.4\nAnswer: 119065.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + -247e3?\nAnswer: -247de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -33, -10, 1.\nAnswer: -33, -10, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 85292 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11856 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3526.259ml to litres.\nAnswer: 3.526259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - 11202?\nAnswer: -11206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*i = -13*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -4*n**2 - n + 2. Suppose -3 = -4*t - r, 9*r + 19 = -3*t + 4*r. Let o be (4 - t)\/(-29 + 28). Determine g(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 = -8*i - 17*i. Solve 4*a = -5*q - 3, -3*a + i*q = 6*q + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -86, -169, -250, -329, -406?\n\"Answer: c**2 - 86*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - -637?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 9*z**2 - 11*z + 2 - 8 + 0 + z**3. Let v = 8 + -18. What is the remainder when 6 is divided by c(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1794 equal to -444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 8) + ((-1 - 17) + 167 + -202 - -22)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 82320 divided by 13720?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 6, a: 4}. Give prob of picking 3 a and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4487189 is divided by 375?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c + 2*c - 6*c)*(c**3 - 7*c**3 + 0*c**3)*(-2*c - 26 + 26).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r - 82. Let b(y) be the second derivative of -y**3\/3 - 235*y. What is b(g(n))?\nAnswer: -2*n + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/22)\/(44982\/693 - 62).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tgz when three letters picked without replacement from {r: 1, z: 2, t: 1, m: 2, n: 2, g: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3645 = 78*f + 21*f + 144*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 111630 and 11102.\nAnswer: 10158330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-10)*w**(-3\/4))\/(w*w*w*w**25*w)**(-4\/13) assuming w is positive.\nAnswer: w**(-95\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/(-9) - (-2)\/9. Suppose -2*w + d = -3. Is -1*1*(-9 + w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 43.3 - 43. Which is greater: p or -5\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of 1\/6*g**3 + 0 - 6*g - 3*g**2. What is the derivative of m(x) wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 78 + -0.0355107565517.\nAnswer: 77.9644892434483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -33c + -316?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + g**2 + 1)*(-57*g + 41*g + 58*g).\nAnswer: 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -4*p + 2*p + p. Let n be (246\/123)\/((-2)\/(-60)*3). Let f(o) = o**3 + 4*o. Determine n*h(b) + 5*f(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-27))\/((-466)\/(-66) - 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23977198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 141967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iggtrtoggrgtgtrr. Give prob of picking 1 o and 1 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -57.4 - -69. Let r = -10.83 + k. Which is the second biggest value?  (a) -3\/5  (b) r  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2826?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 38*y**3 + y**2 + y - 1. What are the prime factors of q(1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**5\/30 + i**4\/8 - 2*i**3\/3 - 19*i**2. Let t be m(4). Calculate the greatest common divisor of t and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**4 + 984450*p**3 + 81743795*p**2.\nAnswer: -5*p**2*(p - 196973)*(p + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 2*u = 20, 4*l + 18 = 6*l - u. Suppose -28*d = -i - 32*d + 50, -3*i + d + 202 = 0. What is the least common multiple of i and l?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5416000 to the nearest one hundred thousand.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-25)*k**(1\/25)*(k\/((k*k**(5\/3))\/k))**(-40))**(-3\/11) assuming k is positive.\nAnswer: k**(-128\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*r**2 + 6*r - 6*r as q*r**2 + d*r + i and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 + i. Let u be f(0). Suppose -2*x - 31 - 25 = 4*z, 3*z - 2*x + 35 = u. Let n = -4 - z. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 15) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, b: 1, w: 2, e: 2, j: 1}. What is prob of sequence ijww?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 5*q - 11 = 0, -14 - 5 = -5*u + q. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3\/2 - 1035*a**2\/2 - 357075*a\/2 - 41063625\/2.\nAnswer: -(a + 345)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k + 2*k + 2*k**3 - 2*k + (2*k + 0*k - 4*k)*(4*k - 4*k + k**2) - 2*k**3 + 0*k**3 + k**3.\nAnswer: -k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26*g**3 - 2*g**2 - 3*g + 26*g**3 + 30*g**3 - 87*g**3 to h + m*g**3 + s*g**2 + r*g and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2389 + 727*k**3 - 784 - 822 - 783.\nAnswer: 727*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 5*m - 8. Suppose -4*f - 3*k = -11 - 29, -m*f - k = -18. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -108 and -0.69253.\nAnswer: -108.69253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -160, 5, -2 in increasing order.\nAnswer: -160, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 111\/20 and -43\/474?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -35) + 223 + -203 + 20 + -1.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, 0.08, -5, -127\/2.\nAnswer: -127\/2, -5, 0.08, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25316b (base 14) to base 10.\nAnswer: 1276251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32467 + 161758\/5. Suppose 0 = 2*p - p + 116. Let g = p - n. Put -4, 1\/4, g in increasing order.\nAnswer: -4, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6743604 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of l**4\/8 - l**3\/6 - l**2. Let n(k) = k**3 - 3*k**2 - 2*k. Let w be n(4). What is the tens digit of q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 91764.8 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 2338.428 to the nearest integer.\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 10*v - 1. Let w(h) = -19*h + 2. Let o(m) = -7*s(m) - 3*w(m). List the prime factors of o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {n: 2, s: 2, t: 1, q: 1, j: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 37 + -27. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3211201220 (base 4) to base 16.\nAnswer: e5868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - (1 - (3 - 0)). Let j(k) = 5*k - 4 + 2 - 3*k**2 - 2 - q. Let h = -16 + 10. Let r(c) = 2*c**2 - 3*c + 3. Calculate h*j(o) - 10*r(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/1671 - -927\/2228. Let f(q) be the second derivative of 5\/3*q**3 + 6*q - 1\/4*q**5 + 0*q**2 + r*q**4 + 0. Factor f(x).\nAnswer: -5*x*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 284278 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -97.777 to 0 dps.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 960 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 256320 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -5*k**4 + 394405*k**3 - 5915190*k**2 + 18927520*k + 25237120 = 0.\nAnswer: -1, 8, 78866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1.716484um?\nAnswer: 0.0001716484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(1216) + sqrt(1216)*1)**2)*1.\nAnswer: 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does -5936022 = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/6  (b) -86  (c) -3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + ((12 - 6) + (9 - 21) - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-4\/5)*g\/(g*g**(3\/8)*g)*g**(-5)*g**(-2\/3) assuming g is positive.\nAnswer: g**(-941\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -6. Suppose -g + 21 = c. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1479 divided by 17.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4\/2 - 7*u**3\/2 + 11*u**2\/2 - 5*u\/2.\nAnswer: u*(u - 5)*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.2 rounded to 1 decimal place?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -471, -941, -1411?\n\"Answer: -470*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -806 - -854. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 6  (c) 5\/3  (d) -0.08  (e) 11  (f) -0.094\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*o + 119899 - 119899.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 83 = -5*x, 34*x = -38*x + 2*d - 1362 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = n - 4*j - 2, n - 1 = -2*j. Sort n, -5, -1 in descending order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.91 + -2.09. What is the nearest to 0 in i, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7.859 + 8.159. Which is the second biggest value?  (a) y  (b) 0.4  (c) 0.2  (d) -0.6  (e) -65\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -s**4\/4 + 4*s**3 - 9*s**2\/2 - 10*s - 1. Let h be g(10). Suppose 7*d + 134 = 5*t + 3*d, 4*d = -4*t + h. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 4*g + 188, g + f + 20 = -33. Find the common denominator of 47\/128 and 145\/g*(1 - -4 - 4).\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -29, -32, -5, 5 in ascending order.\nAnswer: -32, -29, -7, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of -9*f**4\/4 - f**3\/3 - f**2\/2 + 37. Give a(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*x = -210, -4*x - 55 - 155 = -2*q. Suppose -5*p + 40 = -q. What is the remainder when 139 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 2*g + 282 = 302, 0 = -4*f + 2*g + 28. Solve -10 = 4*y + 2*k, -y + f*k + 14 = -6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 8*q**2 - 10*q + 5. Let y be o(9). Let h be y\/(-18)*-3 - 33\/(-9). Solve 2 - 17 = -h*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 5 - 28 = -3*t, 5*t + 4*n - 25 = 0. Suppose -13 = -3*s - 1. Suppose -5 = -f - s*f. What is the remainder when f is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 2*q + 12. Suppose 0 = q*n + 20, -3*d - n + 28 = -3*n. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 22606, 22552, 22498, 22444?\n\"Answer: -54*k + 22660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.19 + 0.23. What is the nearest to 1\/2 in -1, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (1 - (-2 - -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2074031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - (-1 - -1)) + -294 + 356.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 + (-15 - -9) - 3 - 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 656918 or 656915?\nAnswer: 656915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) 3\/2  (c) 2\/3  (d) -4  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 654\/(-26) - -14 - (6 + -17)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 7) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -150.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 604396851 by -1.\nAnswer: -604396851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 + 18*g**2 + 41*g - 55. Let n be w(-15). What is f in 0*f - 4\/3*f**n + 0*f**2 + 16\/3*f**3 + 0*f**4 + 0 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 69.2 - 11.2. Let i = l + -58. Which is bigger: 0.6 or i?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -8*g - 129. Let k(o) = 11*o + 193. Let x(f) = -5*k(f) - 8*z(f). Let n be x(7). What is the greatest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 7*i**2 + 18*i. Let z be c(9). Suppose -v + 8706 - 1909 = z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1501*k**2 + 3102 - 1552 - 1550 to s + n*k + c*k**2 and give c.\nAnswer: -1501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*s - 6*s + 5*j, 12 = -4*s - 4*j. Is 2\/877 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11388 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of y**4\/4 - y**3\/3 - y**2\/2 - 2*y + 2. Let s = -4325 - -4327. Calculate i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 + 70 = 2*d - 2*w, 25*d - 780 = w for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -31075 times 3.34\nAnswer: -103790.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -236.2 + 236.20004734. What is i rounded to six decimal places?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60374*d**2 + 9653*d**2 - 2262*d**2 - 61466*d**2.\nAnswer: -114449*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10040*d + 20131*d - 10066*d.\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**2\/5 - 44230268*k\/5 - 244539575918978\/5 = 0. What is k?\nAnswer: -11057567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -225 times 432.4?\nAnswer: -97290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a factor of 2598690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.853 + -0.853. What is the closest to -1\/2 in 2, 9\/14, x?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -1. Find the third derivative of 3*y**x - 3*y**4 - 3*y**4 - 6*y**2 wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/530 and -137\/1272.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -38?  (a) -369  (b) -1  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 + 45 = -q. Suppose q*v + 8076 = 20252. List the prime factors of v.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/1351 and ((-130)\/(-401440))\/(1\/10)?\nAnswer: 10808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 5*j**2 + 420295*j - 420300 = 0.\nAnswer: -84060, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 70349445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/15 + 156\/(-10). What is the tens digit of 110\/3 - f\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, n: 7}. Give prob of sequence non.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -3.3, -3\/4, 1 in ascending order.\nAnswer: -3.3, -3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 139 + -63. Let v = 182111 + -182034.9928. Let q = g - v. What is q rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1141459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -3*d**3 - d**2 + 23*d - 16. Let f(b) = -4*b**3 - 4*b**2 + 23*b - 16. Let n(x) = -2*f(x) + 3*u(x). Let m be n(7). Solve -m = -a - 49 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 73*d**3*t*z**2 - 2*d**3*z - 2*d**2*t*z - 14558*d**2*z + 9*d + 83*t*z**3 - 12*t*z**2 wrt z.\nAnswer: 146*d**3*t + 498*t*z - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84895*g**2 + 34114*g**2 - 25082*g**2.\nAnswer: 93927*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.007 - 0.007. Let g = 7 + -5. What is the second smallest value in -3\/4, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 4*a**2 + 202*a + 85. Determine n(-50).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k + 5*d + 79, 3*k + 274 = 7*k - 3*d + 151 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 5:28 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 137984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -2 + 9 + -5 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/144)\/((-9)\/(-12)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14616, 14618, 14620, 14622?\nAnswer: 14624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express ((336 + 206 + 1186)*(2 + 0 - 3) + 1 + 1 - 1)*(1 - 1 - m) in the form z + h*m and give h.\nAnswer: 1727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*r**2 - 810*r**3 - 2*r**2 + 190*r + 100*r**3 + 72*r**3 wrt r.\nAnswer: -3828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**3 + 10*q**2 + 2. Let i be a(-5). Solve 4 + 2 = -i*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 4) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - (-14)\/(-3))*30\/(-4). Let r(w) = -9*w + 1. Let a(d) = 2 - 1 - 4*d + 0*d. Let o(f) = s*a(f) - 2*r(f). Determine o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*o**3 + 1018*o**2 - 18360*o.\nAnswer: -o*(o - 68)*(11*o - 270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-32)\/(-40))\/((110*22\/(-1650))\/(2\/(-78)))?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 109*y + 222. Let o be n(-2). Let q(r) be the second derivative of 1\/12*r**o + 23*r + 0 + 3\/2*r**2 - 4\/3*r**3. Give q(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -2*f + 28 - 8, -f + 4*a = -19. Suppose 2*u = -1 + f. Solve -3 = -u*s - 3*x, 0*s - 5*s = -3*x - 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12364507867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 138446952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -161\/66 and 25\/318.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5 - (4\/10 - 6945\/(-450)) and -46\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -27  (b) -0.3  (c) -399\/13  (d) 85  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (847*m + 194*m + 804*m)*(4 - 4 + 1)*(-1 + 5 - 1)*(-4*m + 3*m - m).\nAnswer: -11070*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 820 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.065 - -1.935. Which is the nearest to -1\/3?  (a) -41  (b) n  (c) -0.1  (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4865723\/60 - -81093. What is the common denominator of 5 + (2211\/(-132) - 7*1) and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 2 = -0, -2*c = t - 2967. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 380827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128 - 13 = 8*z - 13 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2804 + 0.2064. Let l = 0.2575 + -0.16. Let k = l + a. Round k to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24358964 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 3*h**3 + 10*h**2 - 12*h - 6. Determine p(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 12870 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert b6ce9 (base 15) to base 8.\nAnswer: 2154714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - 4c5?\nAnswer: -4c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**5 - 2*l**4 + 4*l**3 + 8*l**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 390 and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00012519 to 6 dps.\nAnswer: 0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 780 + -505. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of -p**5\/60 - p**4\/6 - p**3\/6 - 2*p**2. Give w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 12*t + 10. Let y be g(-12). Is 3571\/3*30\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -19 - 24 + 43 + 8*g in the form w + l*g and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80464, 160931, 241398, 321865?\nAnswer: 402332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -9*f**3 - 948*f**2 + 1659*f + 5772. Calculate p(-107).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1207.72 * -305\nAnswer: -368354.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 11*n + 4. Let p(z) = -21*z - 9. Let c(x) = 4*p(x) + 7*y(x). Is 6 a factor of c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40*((-3)\/4)\/(123\/41)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8 + ((-21)\/6 - (-21)\/(-14)). What is the first derivative of w**3 + 12 + 2108*w**2 - 1073*w**2 - 1057*w**2 - 2*w**u wrt w?\nAnswer: -3*w**2 - 44*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*x**2 + 4*x + 16361*x**4 - 16354*x**4 + 23 - 4*x as m*x + p + v*x**4 + s*x**2 + f*x**3 and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 22 + 10 - 33. Let l(q) = 5*q - 1. What is l(f) - 3*u(f)?\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 269, -100, 1, -21, -5 in descending order.\nAnswer: 269, 1, -4, -5, -21, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - (-7 + 0) - 3) + -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 10*f. Let w(l) = -l. Let y(t) = 2*a(t) + 22*w(t). Let d(p) = -5*p**2 - 13*p. Let q(x) = -x**2 - 3*x. Let k(v) = -6*d(v) + 26*q(v). Calculate k(y(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fdo when three letters picked without replacement from {o: 2, f: 6, v: 5, d: 1, s: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(105)\/(sqrt(56)\/(sqrt(512) + sqrt(8))))\/(sqrt(2700) + sqrt(2700) + -1*sqrt(2700)))**2.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 828*d - 4*h = 820*d + 64, -3*d = 5*h + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 + 2*z**2 + z**2)*(-2*z + 3*z + 0*z) + 2*z**2 - 2*z**2 - 2*z**3 - 6*z**3 + 3*z**3 + z**3 + 2*z**2 + 2*z**3 - 2*z**2 - 22*z**2 + 22*z**2 - 7*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 = -4*m + 4*f, -2*f = 5*m + 2*f + 271. Let j = m - -63. Suppose -6*d + j*d - 170 = 0. List the prime factors of d.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -26*(-1)\/(-12) - -2. Which is the second biggest value?  (a) -0.5  (b) -0.4  (c) o  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 257876 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = -2*h + 9, -5*h = 5*y + 233 - 268 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -440 - -649. What is the remainder when i is divided by -28*(3\/2 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 15*((-16)\/6 - -3). Suppose 0*c + k*c = 80. What is the remainder when 47 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {t: 1, u: 1, x: 1, m: 2, w: 1, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.02 + -1.42. What is the second smallest value in 4, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2448) - (sqrt(2448) - (-1 + sqrt(2448) - sqrt(2448))) - sqrt(2448)) + sqrt(2448) + (sqrt(17) - (sqrt(425) + -2)) + -1)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p + 40 = -32. Solve -2*j - 2*k = -6, -3*j + 5*j - k = p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 < 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 85\/909 + 13\/101. Let g be 2 - -1 - 1 - (23 - 23). Which is the second biggest value?  (a) g  (b) 6  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20970519 and 1281.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*55\/(-198)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of c**4\/4 - 16*c**3\/3 + 15*c**2\/2 + 20*c + 6109. Calculate r(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12218174 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 838109\/36 - 23285. Calculate the common denominator of -35\/72 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.808256ml?\nAnswer: 0.000808256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 + -9)\/(4\/(-2)). Let l(j) = j + 1. Let b be l(i). Suppose b*y + 3440 = 29940. Round y to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 765*j**2\/11 + 757349*j\/11 - 90 = 0 for j.\nAnswer: -990, 1\/765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -526*n**2*p**3 + n**2*p**2 + 10*p**3 + 9*p**2 with respect to n.\nAnswer: -1052*n*p**3 + 2*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 3*t**2 - 56*t - 44. Let b(m) = m**2 - 19*m - 15. Let f(c) = -17*b(c) + 6*i(c). Is f(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, -6.3, 0.4, -0.5 in decreasing order.\nAnswer: 3\/2, 0.4, -0.5, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1083\/7 - -155. Let b be (-3 - 74\/(-24))*3. Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 divided by 416343.\nAnswer: 5\/138781","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 106 - 62. Suppose o - u = x, 2*o - 100 = -0*o - u. Suppose -2*k + 62 + o = 0. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44594 + -45181.82. Let u = f - -600. What is u rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3\/2, -0.11, 0.6, -9?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 + 9*j**2 - 8*j + 5. Is z(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5329411 to the power of 1\/2, to the nearest integer?\nAnswer: 2309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*z - 17*z + 69*z - 31*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -85 - -97. What is the remainder when 393 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of 0 + 1\/24*a**6 + 0*a - 10\/3*a**3 + 1\/3*a**5 - 6*a**2 - 5\/24*a**4. Find x such that v(x) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 5 = 2*h, h = w + 1 + 2. Let p = -0.13 + -0.27. Which is the nearest to p?  (a) -3  (b) w  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of s**5\/5 - 23*s**4\/24 - 14*s**2. Find the second derivative of f(a) wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 14  (b) -4  (c) -2  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7822264 and 37131.\nAnswer: 23466792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1330 a factor of 341846607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 3*a - 5. Let l be g(4). Let x = -3.784 + -0.216. Put 0.4, x, l in decreasing order.\nAnswer: 0.4, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t**2. Let a(h) = 45*h - 11. Let p(s) = -2 + 9*s - 1 - 4 + 5. Let r(i) = 2*a(i) - 11*p(i). What is r(d(n))?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 892.933 + -895. Let d = 0.067 + t. Which is the nearest to -0.2?  (a) d  (b) 5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-15) + (-215)\/(-75). Suppose 9 + 6 = d*g. Solve g*i - 4 = -29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*z + 22*z + 9*z)*((-5*z**2 + z**2 + 3*z**2)*(-2 + 0 + 4) + 5*z**2 - 6*z + 6*z).\nAnswer: 63*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2  (b) -4  (c) 0.4  (d) -1\/63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**3 - 54*f + 54*f)*(5 - 7 + 6)*(f - 2*f + 2*f).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3*b - 74 = -29, -4*h = 2*b - 114. Let s = -17 + h. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 - -7. Let i be (2\/x)\/(2\/(-76)). Suppose -61 = -5*w - h, -4*w + 62 = -5*h + i. 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: Let d(f) = f**3 - f**2 + 5*f - 2. Calculate the smallest common multiple of 20 and d(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 4*j - 13, -5*n = 3*j + 2*j - 60. What is the remainder when 39 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-3*sqrt(450) - sqrt(450)) + sqrt(450))*4.\nAnswer: 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10693, -10695, -10697, -10699, -10701?\nAnswer: -10703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -41*x**2. Let n(j) = -508*j**2 - 4 + 509*j**2 + 215*j - 212*j + 4. Determine y(n(s)).\nAnswer: -41*s**4 - 246*s**3 - 369*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -703597\/51 - -13795. What is the common denominator of f and 13\/27?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(2\/(-2))*-1. Suppose -6*t + 4*t = c. Suppose i = 3*d + 7, 3*i + 2*d + d - 69 = t. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of 47*a**8\/336 - 3*a**5\/4 - 33*a**2 - a. Find the third derivative of c(k) wrt k.\nAnswer: 2820*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 4817508*r - 1 = -4817507*r, -74 = -2*q - r + 18*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(3\/5)*s)**(-35) assuming s is positive.\nAnswer: s**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 355 is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/299 and 93\/52?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -62*d**2. Let c(g) = -2*g - 2. Suppose 17*j - 22 = 12. Let t(q) = q**2 + 3*q + 3. Let a(r) = j*t(r) + 3*c(r). Calculate a(n(p)).\nAnswer: 7688*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19.8 + 17. Let v = -2.64538 + -0.15236. Let s = d - v. What is s rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of 5*h**7\/8 - 53*h**6\/30 - 2*h**5\/5 + 5*h**4\/3 - 2*h**3\/3 + 2*h - 16. Find z, given that s(z) = 0.\nAnswer: -2\/3, 0, 2\/7, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 4*x - 45. Let a be b(15). Suppose -16 = 23*s - a*s. What is the tens digit of (3 + s)*(-1 - -138)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, -938806, 2 in descending order.\nAnswer: 2, 3\/5, -938806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 3*s - 4. Calculate the smallest common multiple of 38 and c(6).\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/11 - 22*n - 244\/11.\nAnswer: 2*(n - 122)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.051 - -0.429. Let v = s + -0.98. Suppose -9 = -j + 5*i, -2*j = -3*j - 2*i - 5. Which is the third smallest value?  (a) 0.2  (b) -0.2  (c) v  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -3. Suppose -t*n + 19 = -4*i, 0 = 2*n - i - 3 - 3. Let p(x) = -x**2 - 7*x - 5. Let g be p(-6). Solve -d - n = 4*z, -z = z - d - g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((-10)\/104) + 10\/25. Let p(s) = -s**2 - 9*s + 24. Let i(f) = f**3 - 4*f**2 + 4*f - 6. What is the remainder when i(5) is divided by p(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 76275554 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 1321643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from slbssshklyllhhb. Give prob of picking 1 l, 1 y, and 1 s.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**5 + 56*x**4 + 386*x**3 - 172*x**2 - 1288*x - 784 = 0. What is x?\nAnswer: -14, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -792 - -792.3. What is the nearest to 0.4 in -4, 5\/2, -0.7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*c + f - 2, 0 = -3*c - 3*f + 18. Suppose 0 = -c*d + 4*d. Solve d = o - 6*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 397*u + 10*u**2 + 6*u**2 - 397*u + (-2*u - 3*u + 7*u)*(1 + 1 - 1)*(-173 + 173 + 182*u) to the form o*u + r + q*u**2 and give q.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) 1  (b) 3  (c) -1  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -531.485 + -4.315. Let l = -536 - n. Which is the nearest to 0.3?  (a) 1  (b) -0.5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -613 - -149.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 72361 take away -0.9145415?\nAnswer: 72361.9145415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*z**4 + 0*z**3 + 0 + 6\/7*z**2 - 4\/7*z.\nAnswer: -2*z*(z - 1)**2*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108 = 3*o + z + 49 + 42, 0 = -3*o + 4*z - 68 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -434993*i**3 - 8 + 2*i**2 - 2 + 9. Let v be d(-1). Suppose -4*p - 347988 = 4*j, -5*p - 3*j + j - v = 0. Round p to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98 = 9*q + 17. Sort q, -4, -2, 3 in decreasing order.\nAnswer: q, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50582785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -7) + (-33 - -19).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 4 + 1)*(-2*x - 4*x + 5*x) to h*x + m and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*r - 53*r = -6080. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 447*m - 7*m**2 + 6*m**2 - 480*m in the form b*m**2 + z*m + k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(5)*3*3 + sqrt(720)*-3.\nAnswer: -27*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a week in hours?\nAnswer: 3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c + 3 - c - 5 + (-c - c + 3*c)*(-1 - 2 - 1) + (3 - 1 - 1)*(-c - 2 + 2) in the form g*c + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + 2*j - j)*(3 - 1 - 5*j + 6*j)*(-666 + 666 - 27*j).\nAnswer: 54*j**3 + 108*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 10822, 21647, 32472, 43297, 54122?\n\"Answer: 10825*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 7*i + 24 = 0. Suppose -i*f = -3 + 33. Let w = -10 - f. What is the closest to w in 1\/5, 0.1, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - g - 1. Let k(o) be the third derivative of o**6\/120 - o**5\/60 - o**4\/8 - o**3\/2 + 7*o**2. Determine 2*k(m) - 6*r(m).\nAnswer: -4*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-366)\/(-8))\/((-2)\/32). Let i = q + 738. Solve -3*k = -6, -w - k + i*k - 6 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -29, -64, -129, -230, -373, -564, -809?\n\"Answer: -y**3 - 9*y**2 - y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5674 = 2*g + 960*o - 148*o, o - 7*o = -2*o - 28 - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 + 29*b**2 + 53*b - 17. Give o(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000017876 rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.01*-33773773.\nAnswer: 337737.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -3602 <= 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 14*z - 42*z + 11*z + 19*z. Let s(p) = 549*p. Give h(s(q)).\nAnswer: 1098*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 19742, 34204, 43386, 47288, 45910, 39252?\n\"Answer: -2640*a**2 + 22382*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 - y**2 - 2*y + 1. Let x be o(2). Let s(t) = -t**2 + 1 + x + 0. Let i = -803 - -801. Let v(w) = 2*w**2 - 5. Calculate i*v(g) - 5*s(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12\/42*(-14)\/(-1). Suppose -v = 3*x + b, 3*v - 4*x = x + 30. Solve -v + 11 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5840*z + 136270 + 62745 = -224550 + 3085 for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 u, and 1 b when three letters picked without replacement from {c: 2, u: 6, w: 3, p: 4, b: 1, t: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 1000*k - 1001*k + 2 - 9. Suppose -2*m = 2*m - 12. Suppose -3*n + q = 2*n + 26, 24 = -5*n - q. Let i(z) = -z - 4. Give m*a(b) + n*i(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 287979277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 982583341.\nAnswer: 67, 14665423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + (-4)\/(-22) + 1008\/22. Let b = i + 25. What are the prime factors of b?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -220 + 8*x**2 + 178 - 318*x + 43 to the form r + k*x**2 + y*x and give y.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1490179, -2980361, -4470541, -5960719, -7450895, -8941069, -10431241?\n\"Answer: m**2 - 1490185*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ryrr when four letters picked without replacement from ryyrrrrryrrryryyyyyy.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1428 + 1488 = 12*h. Solve -s - h = 0, -3*t + 5*s + 4 + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -212*t = 5*y - 207*t + 20, y + 3*t = -10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of -n**4\/4 - n**3\/3 + 2*n**2. Let c be u(-3). Suppose -b = 3*j - c - 9, 4*b = 5*j - 36. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -10\/3*q**3 - 8*q - 1\/2*q**4 + 3 + 5*q**2. Let g be j(-6). Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/(10\/12) + 144 + -145. Solve 3*x - f*a = 33 - 43, 5*x + 20 = 5*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - 2*y**2 - 2*y + 10. Let r be 1*-5*(50 - 49). What is the tens digit of f(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w**3 + 3*w**2 + 2. Let d be a(3). Suppose 0 = -5*b - 15, 4*m = 3*m - 4*b - 9. Let x be m - 6 - d\/7. Which is bigger: x or -0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(500)*2*-3 - (-5*(sqrt(5) - sqrt(5)*-2) + ((sqrt(40)\/sqrt(4))\/sqrt(2))**2).\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 - -97. What is the remainder when w is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r - 25. Give f(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2041 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of s**4 + 395*s**3*x**2 - 464*x**2 wrt s?\nAnswer: 4*s**3 + 1185*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1156 (base 11) to base 8.\nAnswer: 2751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -566*l - 6352 - 4968 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21.03*-0.3.\nAnswer: -6.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (5 + -3 - 4) + -43 + 23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 74936.68 to the nearest one thousand.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of 0*f + 0 + 1\/12*f**4 + 1\/6*f**3 - 3*f**2. Differentiate y(g) with respect to g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.954065 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14940 and 648?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 38265.13 + -37980. Round k to the nearest integer.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) 0  (b) -0.3  (c) 0.01  (d) -0.0549\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 3*j - 57 = 3*i - 23, 207 = 3*j - 24*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of -13*d**3\/3 + 19*d**2\/2 - 3*d. Let p be i(-12). Suppose p = j - t, 0 = 3*t + 2*t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 + 349 = -5*b. Let a = b - -121. Suppose 0*z + a = z. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7195.5 - 7196. What is the nearest to 0.1 in t, -4, 8, -46?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 13*s**2 - 49*s + 7. Let x(g) = -2*g**2 + 7*g - 1. Let v(u) = 2*t(u) + 14*x(u). Let c(n) = -220*n**2. Calculate c(v(a)).\nAnswer: -880*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 12:13 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 5*p - 12. Suppose -92 = -3*i + p*d, 5*i - i = 2*d + 136. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 + 27. Suppose r - 34 = -8*s. Solve 0*x - 14 = s*x + d, -5*d - 37 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -8*u. Let m be g(-1). Suppose -m*q + 17651 = -9469. What is q rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -108.03595?\nAnswer: 104.03595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 358 - 322. Calculate the highest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -451437466\/3 or -150479156?\nAnswer: -150479156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 3)*((-3*n + 0*n + 2*n)*(-1 + n**2 + 1) - 4*n**3 - 2*n**3 + 3*n**3)*(-2*n**2 + 4*n**2 + 0*n**2).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 75\/2261224 and 3\/145256?\nAnswer: 151502008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -197*g + 204*g + 5*j = 1, 5*g + 5 = -5*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 - 20*r**2 + 152*r - 430. Give w(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -138439 by 3.\nAnswer: -138439\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57965, -0.5, 4, 3, 5 in descending order.\nAnswer: 5, 4, 3, -0.5, -57965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3503 is divided by 318.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ru when two letters picked without replacement from ooooruuuoookrr?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3458)\/57)\/((-294)\/(-252))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 276 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/9  (b) 0.4  (c) -1\/6  (d) -1\/307  (e) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8.02 + -463.98. Let d = 477 + s. Which is the third smallest value?  (a) d  (b) -0.18  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -536*b**2*m*p - 7*b**2*m + 37*b**2*p + b*m - b*p - 2*b + 500*m*p - 3*m - 21 wrt b?\nAnswer: -1072*m*p - 14*m + 74*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1675)\/(-15) - -3)\/((-6)\/(-9)). Let f = y + -170. Solve -u - 3*g - g = -19, -27 = f*u - 5*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29495 * 7.93.\nAnswer: -233895.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31*2\/64*-1 and -4\/7?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -226 and 0.1?\nAnswer: 226.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 41*(3 + -5 - -3). Let x = u - 37. Determine n so that -x*n**2 - 14 + 23 - 12*n - 9 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 4*d - 7879244 = -0*b, -5909435 = 3*b + 4*d. Let l = -3790191 + b. Round l to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 101 + -10. Suppose w - 5*g + h = 3*w, -4*g - 12 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7dc8d (base 14) to base 6\nAnswer: -10325325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (-7 + (8 + -6 - 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/23, 2, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i - 3. Let z be o(5). Suppose 2*m = k + 5*m - 14, -z*m = -6. Suppose 314*f + 5 = 319*f. Put k, -5, f in decreasing order.\nAnswer: k, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 - ((-1)\/(2\/6) + 1). List the prime factors of ((-3)\/((-12)\/104))\/(z\/(-45)).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -77, -293, -657, -1175, -1853?\n\"Answer: -o**3 - 68*o**2 - 5*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2185\/3 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 13) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53 - 281*h - 205*h + 59 - 170 + 60.\nAnswer: -486*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5541 - 7221 = 40*f for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (112 + -167 - 55).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 3*m - 4 = 0, 15*r - 33*r - 3*m + 23 - 11 = -15*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33953, -66955, -99953, -132947, -165937, -198923?\nAnswer: -231905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6210696 millennia to years.\nAnswer: 621.0696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**8)**(-1\/20)\/(x\/(x\/(x*x**(5\/6)))*x)**(2\/9) assuming x is positive.\nAnswer: x**(-151\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.747629 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 8 = -w. Let r be (315\/70)\/((-15)\/(-20)). Suppose 50 = -r*x + 50. Solve 0 = w*y - 3*j + 3, 3*y - 2*j + 7*j - 34 = x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, -0.2, -85, 671?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 46560440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.79 rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 174496\/(-1696) + 24\/(-212).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -113 in 23, -24, -2, 46, -0.4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 58 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 213*d - 257. Determine g(-2).\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224680?\nAnswer: 2, 5, 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 12:56 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -92409 and -18.\nAnswer: -92427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -14*u + 6. List the prime factors of z(-17).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0672 - 0.0672. What is the nearest to n in 2\/11, -1, -1\/8, 6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + 362.\nAnswer: 361.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3*h - 23. Let w be (4\/6)\/(30\/405). Let r be q(w). Solve -4*t = r*m + 28, 2*t - m + 0 - 1 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1469*n*u**3*z**2 + n*u**3*z + 31*n*u**2*z + 4*n*u*z**2 - 6*n*u - 14*u**3*z**2 - u wrt u?\nAnswer: -8814*n*z**2 + 6*n*z - 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*k**(1\/6))\/(k\/(k**7\/k)))\/((k\/(k\/k**(-2\/21)))\/k**(2\/43)) assuming k is positive.\nAnswer: k**(13199\/1806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 3*p**2 + 10*p - 20. Let n be b(-14). Suppose 415*g - n*g + 7722 = 0. What is the remainder when g is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/(-3))\/((-1)\/(-15)). Let s be (i - 2) + (-2*1)\/1. Let n be 2 - 9\/((-36)\/s). What is the greatest common divisor of 4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2260106, -2260057, -2259922, -2259659, -2259226, -2258581, -2257682, -2256487?\n\"Answer: 7*a**3 + a**2 - 3*a - 2260111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, -1, 5, 2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -31098*a + 901859. Give l(29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -6036 bigger than -6016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-14))\/(16\/112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-28)\/5196) - 0\/(-1). Is 185 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 272\/127 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of -f**2\/2 + 6. Let n(h) be the first derivative of -425*h**2\/2 + 3112. What is i(n(p))?\nAnswer: 425*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**2 + 3*s**2 - 4*s**2 - 67*s - 12*s**2 + 67*s + (3 - 3 - s)*(2 - 2 + 2*s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 + 55*l + 235. Let t be h(59). Let j be (-1)\/(-5) + (-21)\/105. Put j, -8, t in ascending order.\nAnswer: -8, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10\/(-6))\/((-1)\/(-3)). Let b(t) = t**2 + 9*t + 5. Let h be b(-8). Let q = h - u. Solve -2*l - q = 2*y, -l + 4*y + 0 = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 PM and 6:42 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 1 + 9 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 f when four letters picked without replacement from fqffffqffhfbfqqb.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 229 a factor of 78914873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1298948 is divided by 2557.\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 607169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 2*u - 2*m - 7 = 0, -12 = -5*u + 3*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-4))\/(15\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 - 14. Suppose 0 = -6*o + j*o - 12. Let c(p) = 2*p + 9. What is the units digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(4 + (sqrt(49)\/sqrt(7)*6)**2) - ((-2*sqrt(2401) + sqrt(49))\/(-3*sqrt(14)\/sqrt(2)))**2)*5.\nAnswer: -40475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*s**2 + 24 - 8 - 16.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j - 23. Let p(f) = -147 - 19*f + 15*f + 33. Calculate 3*p(r) - 14*q(r).\nAnswer: 2*r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 21 = 2*l + 3*l, 24 = 2*n + 4*l. Let k = -2 + n. Solve -3*y + 6 + 9 = k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -49.5 + 49.381. Which is the second smallest value?  (a) -2  (b) d  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 9:08 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (9\/(-27)*-6)\/(-71). Which is the second biggest value?  (a) 1\/6  (b) -3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 8 + 0)*(-16*j + 2 + 34*j - 15*j).\nAnswer: 27*j + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -132, -263, -394, -525?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 156\/10 - (-6)\/15. What is the remainder when (u\/(-5))\/(5\/(-25)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 26727, -2, 1 in ascending order.\nAnswer: -2, 1, 3, 26727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15631.9*0.4.\nAnswer: -6252.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13841783 to the nearest integer?\nAnswer: 3720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -74 - -130. Suppose -2*j - 31 = -l - j, -l + m = 4*j. Calculate the greatest common divisor of l and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 51431, 48693, 45955?\n\"Answer: -2738*p + 54169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8*(-22)\/(-88))\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1790138 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 52899 and 14358300?\nAnswer: 100508100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23253 is divided by 530.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -s**5 + 12*s**4 + 66*s**3 - 920*s**2 + 1599*s - 756 = 0.\nAnswer: -9, 1, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 33 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of 25\/6*i**4 + 1\/20*i**5 - i**2 - 15*i + 73\/6*i**3 + 2. What is the second derivative of d(h) wrt h?\nAnswer: 6*h + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -p**3\/5 - 403*p**2\/5 - 23128*p\/5 + 3843024\/5 = 0.\nAnswer: -236, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 161 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 2. Suppose -2*y - 2*l = -101 + 113, -l - 12 = 4*y. Put -6, d, y, 3 in descending order.\nAnswer: 3, y, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 118772224 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -213.1 - 53.9. Let x = v + 266.99702. What is x rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 AM and 6:30 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 342 and 10013.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 3*t + 3 = 0, 4*t - 1 = -i - 0*t. Let k = 458 - 1004. Let j = k + 544. Put i, 5, j in increasing order.\nAnswer: j, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13521000 rounded to the nearest 100000?\nAnswer: -13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12, 5, -2, -9, -16, -23?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1188 and 35084?\nAnswer: 10419948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/4)\/((-203)\/290).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 0*k = -48. Let z be (2\/k)\/(9\/24). Let s be (-29)\/(-7) + 0 + 110\/(-770). Which is the closest to -0.1?  (a) z  (b) s  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(4\/9)*d**(-47)*d**(-1\/19)\/d**(-16) assuming d is positive.\nAnswer: d**(-5234\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 6*c**4 + 3)*(0*c + 3*c + 0*c).\nAnswer: -18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -53*c**3 + 4*c**2 - 2. Is z(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3.2?  (a) 2\/5  (b) 1  (c) 136\/7  (d) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 75. Let u = 77 - i. Suppose -u*q - o + 87 = -0*o, -q + 36 = 3*o. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(3*1*sqrt(9)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 172270, 172273, 172278, 172285?\n\"Answer: y**2 + 172269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*s - 4998 = 46*s + 168*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6769560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10092671 times 0.1?\nAnswer: 1009267.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 149 + (-4 - (23 - (16 + 3 + 12 + -15))).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 945 by -135.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/9)*f\/(f**(-2)\/f)*f*(f*f\/(f\/(f**0\/f))*f)**23)\/(f\/f**(-5\/4)*(f*f**(-3\/2))\/f*(f*f*f**(-2\/3))**(10\/7)) assuming f is positive.\nAnswer: f**(6331\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -11*g + 20. Suppose -15 = 2*h - g*h. Let i be 4\/6 + 20\/6. Solve w = -0*b + 4*b + 3, i*w + 10 = h*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1113422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -9*z**2 - 25*z - 216. Let s be n(-11). Which is greater: s or -1029?\nAnswer: -1029","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -4*s**2 - 13*s + 8. Let l(a) = 8*a**2 + 27*a - 17. Let g(k) = 13*f(k) + 6*l(k). Let t be g(-5). Is t\/6*2\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zxcxxxxxxxx. What is prob of picking 2 x?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1482*g**3 + 3*g + 1123?\nAnswer: -8892*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-10)\/8)\/(3\/(-12)). What is the third derivative of 0*g**2 - z*g**2 + 0*g**2 - 3*g**6 wrt g?\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -5. What is the third derivative of 0*c**3 - h*c**3 + 2*c**2 + 0*c**3 wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -13*o**2. Let j(u) = 13*u**2. Give y(j(h)).\nAnswer: -2197*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -42.34 + 42.343882. What is x rounded to 4 decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a**3 + a**2 + a + 1. Let n(u) = u**4 + 11*u**3 + 2*u**2 + 4*u + 7. Let x be (4 - 3 - 4)\/((-6)\/20). Let k(r) = x*m(r) - 2*n(r). Factor k(s).\nAnswer: -2*(s - 1)**2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 0 = 6. Let l(q) = q**2 - 27*q + 30. Let j be l(26). Sort j, -2, d, 3 in descending order.\nAnswer: j, 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11671 a factor of 1973624455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1986\/66481?\nAnswer: -1986\/66481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-14) - (-210753)\/(-35364). Let f = -25\/4 - l. Let j = f + 856\/2947. What is the closest to j in 0, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = d + 1. Let v = 2.5 + -2.1. Which is the biggest value?  (a) v  (b) d  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the second derivative of -z**3\/6 + 11*z**2\/2 - 40*z. Give h(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 4*l**2 + 13*l**2 + 23 + 16*l**2 - 7*l**2 - 17*l. Let d(w) be the second derivative of 3*w**4\/4 - w**3 + 4*w**2 + 118*w. What is -17*d(a) + 6*p(a)?\nAnswer: 3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 14  (b) 3\/4  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*(-5 - 10\/(-3)). Let d(f) = -f - 2*f - u*f - f. Let p(w) = 6*w. What is p(d(g))?\nAnswer: -54*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.851065 plus 6.1698149?\nAnswer: 7.0208799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*s - 4*h - 268, -78*s - 21 - 50 = -81*s - h for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-50)\/(-30) - 1*2. Let y = 0.1 - 0.1. What is the closest to 0 in b, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*s + 37*s - 10*s - 11*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2. Let y(c) = -27*c + 9. Let r(k) = -2*k + 1. Let z(u) = 9*r(u) - y(u). Give j(z(x)).\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from assrcbsbapsscrssbsss. Give prob of sequence rb.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 4*w + 4. Let a be n(-6). Let i(t) = t + 22. Let q be i(a). Find the third derivative of -165*z**3 + 155*z**3 + 6*z**2 + z**q wrt z.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*i + 137*i - 332*i - 294*i.\nAnswer: -420*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g = -19*g + 30*g - 216414. List the prime factors of g.\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1074814370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 987762, 987757, 987752, 987747, 987742, 987737?\n\"Answer: -5*t + 987767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 13*h**2 + 1 + 1 - 4*h**2 - 2*h + 3. Let y(z) = -z**2 + z. Let j(u) = l(u) + 2*y(u). What is the first derivative of j(g) wrt g?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 x when three letters picked without replacement from xuunfnuuuunxnnuu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o**4\/5 + 39*o**3\/5 + 12*o**2\/5 - 324*o\/5 - 432\/5 = 0. What is o?\nAnswer: -12, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + 6. Suppose -5*u - 3 - g = 0. Is 22 a factor of (1\/3)\/(u\/(-486))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/7, -1, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o + 105. Let b be k(-20). Solve 0 = 3*c - m + 4, -b*m = -c - 0*c - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/45 - (-3501071)\/198. Let i = 17678 - q. What is the common denominator of -1\/18 and i?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-8)*(-8)\/(-18)*9. Solve 3*r + 2 = 3*l - 10, -4*l + 17 = -g*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -432 + 434 - (-3 + 1 - (11 + 7))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 + 6*z**2 + 23*z - 136. Let p be b(6). Let w = 105 + -45. Suppose -4*j + w = p*j. What is the greatest common factor of 25 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 468.999135 - 469. Round j to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-2) + 3)*4\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68380 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 23.734 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -985, -6134, -18831, -42850, -81965, -139950, -220579, -327626?\nAnswer: -464865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {v: 1, j: 2, e: 6, b: 2, i: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 91 divide -63*(-6 - (-896)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 10 = 1. Let t be 414 - (-3 - 21\/z). Round t to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.2, -20, -23, -11, 2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 90213447157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**5*d*d)**(-5\/2)*(d**(2\/11))**44)**48)**(13\/2) assuming d is positive.\nAnswer: d**(-3744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 5*m. Suppose x - 10 = -x. Let c be w(x). Suppose 0 = -c*f - 4*f + 52. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 709306*b**5 + b**2*m**2 + 2*b*m**2 - 119839*b wrt b.\nAnswer: 14186120*b**3 + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 - 1 + 2*l)*(0*l**2 - 3*l**2 + l**2) - 311*l**3 - 487*l**3 + 181*l**3)*(l + 0*l - 2*l) as c*l + n*l**2 + z*l**4 + p + v*l**3 and give z.\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 21987928 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - 96b?\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 1 = -3*s. Suppose -4 = -2*i - s. Is 37 + 0 - 0\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4*p + 4*o = -54, 0 = 4*p + 3*o + 79. Let g = p + 20. Let q(d) = -d + 4. Let b(h) = 3*h - 9. Give g*b(y) - 5*q(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 25*4\/(-36) - (-4)\/(-18). Let h(a) = -6*a + 2. What is the lowest common multiple of h(v) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(4\/3))**14 assuming u is positive.\nAnswer: u**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1752 - 1753 - 1757 + 8824 + 3*w**3 - 1754 - 1808.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 2*q + 35 + 51, -3*k + 70 = -2*q. Let h be -2*(-6)\/(-8) - 57\/q. Suppose h = -3*z + 300 + 546. List the prime factors of z.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -1506*y - 4400. Determine z(-3).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 2*a**3 - 103*a**2 - 272*a + 115. Let w be t(54). Let k = 94134\/11 + -8552. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 + 2*j - 1. Let b be g(-2). Let a = 1 + b. Suppose 2*i - 25 - 13 = a. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/8, 0.44038, 170?\nAnswer: 0.44038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9569 - -11069. Calculate the remainder when m is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = 73 + 95. Solve -32*p - i = -25*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12797.614 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 345359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00169101 to 5 dps.\nAnswer: -0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 4. Let q be x*(-14)\/4*6. Let d = -11 + q. What is the smallest common multiple of 6 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.02 + -0.02. Which is the second smallest value?  (a) 5  (b) 4\/9  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 22 = -p, -179*p + 182*p + 5*r = 26 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millisecond in nanoseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 39002060 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 + 11. Let i(h) = h**3 + h**2 + h + 2. Let d be i(w). Let x(j) = 2*j - 1. Let u be x(d). Solve 0 = -2*q + u*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 111*f**2 - 19*f**2 + 0 to s*f + n + y*f**2 and give y.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rcooooooajoojjojorr. Give prob of picking 2 r and 1 j.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (-12 - 7)) + -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -133.86 - -141. Let z = i - -39.86. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -30b + -570?\nAnswer: -87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 5*k**2 + 16180*k + 1185375 = 0.\nAnswer: -3161, -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 26402*a + 44004.\nAnswer: 26402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*a**2 - 2278*a**3 + 2276*a**3 - 14*a**2 + 8*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 2:06 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 29*j**4 - 737*j + 155473 wrt j.\nAnswer: 116*j**3 - 737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 2:46 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**2 + 190*w.\nAnswer: -5*w*(w - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-5)\/10)\/(2\/(-52)))\/((-126)\/378).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 759 and 192610671?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**3 - 2*i**2 - 7*i - 14. Calculate m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 886 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 + 31c?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 1458 = 2216. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1190)\/(-175)*13\/52*(-20)\/2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -801*k**2 + 29*k - 51. Let d(r) = -801*r**2 + 34*r - 55. Let x(y) = 4*d(y) - 5*z(y). What is the second derivative of x(f) wrt f?\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -125 - -15416?\nAnswer: 15281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((700\/(-190))\/(50\/(-950)))\/(-1).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -1\/4  (c) -3\/35  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 375856 to the power of 1\/2, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -11302223303?\nAnswer: -11302223303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 76657.9 centuries in years?\nAnswer: 7665790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 270694236?\nAnswer: 2, 3, 29, 777857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25\/3 - 6) + -291*(-2)\/(-18).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7335 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 13*c**2 + 3*c - 6. Let d(f) = -462 + 920 + f - 459. Give 4*d(x) - m(x).\nAnswer: -13*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/3))**43\/((i**(-2\/5)\/i)\/i**(2\/5)) assuming i is positive.\nAnswer: i**(-403\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 + 27*c - 178. Determine o(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*((h*(h\/h**2)\/h)\/h)\/h*h**(-7))\/(h*h**(2\/9))**(1\/2) assuming h is positive.\nAnswer: h**(-173\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2669*w**2 - 6*w + 13 wrt w?\nAnswer: 5338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 - 13. Suppose -3*l = -2*v + 4, 2*l - 3 - 7 = -m*v. Suppose 17*h + 19*h = 70 + 74. Solve 2*f + 8 = 2*n, l = n - h*n - 4*f + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3455 = 30*x + 3215 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17.634*-0.5.\nAnswer: -8.817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, -5, -88 in descending order.\nAnswer: 87, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -3*l - 40 - 19, 0 = -f - 2. Let k be (-2)\/7 + (-132)\/l. Suppose 0 = -5*g + 2*c + 893, k*g - 5*g - 175 = 4*c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24 (base 6) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, 4\/3, 3.3, -0.5 in descending order.\nAnswer: 3.3, 4\/3, -1\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.6 - 0.6. Let m = 2.9 - d. Let r = -2.1 + 2.2. Do r and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -348*i = -357*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*t + 1)*(6*t - 4*t**3 - 6*t) - 3*t**4 - 5*t + 5*t + (-10*t + 2*t - t)*(t - 3*t + 3*t)*(2*t**2 - 3*t**2 - t**2).\nAnswer: 23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 3*g**4\/4 + 940449*g**3\/4 + 73685351043*g**2\/4 - 2875236427569*g\/4 - 3022603367883\/2 = 0.\nAnswer: -156761, -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -0.2  (c) -2\/5  (d) 1\/3  (e) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 72901.8 grams in tonnes?\nAnswer: 0.0729018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 1. Let h(i) = -2*i**2 + 3*i + 2. Let q = 0 + 1. What is q*h(m) - 2*l(m)?\nAnswer: -2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 35537412200 rounded to the nearest 1000000?\nAnswer: 35537000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x - 2. Suppose -3*u = 4*j - 77, -u + 4*j = 5*j - 26. Suppose -u = -5*w + 13. What is the remainder when 61 is divided by q(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30228*m - 320 = -60403*m + 30215*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - w**2 - w. Let n(a) = 7*a**3 - a**2 + 2*a. Let y(l) = n(l) + 2*o(l). Find g such that y(g) = 0.\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (67\/(-201))\/(2\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 + (-3837)\/21 - 4\/14. Let w = q + 340. List the prime factors of w.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*h**3*k**3 + 4620*h**3*k + 47*h**2*k**3 + 8*h*k**2 + 2*k**5 wrt k.\nAnswer: 114*h**3 + 282*h**2 + 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -8*d - 15. Let b = 2 - d. Find the second derivative of -2*h + 5*h**5 - h - 2*h**5 + b*h wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 675 + -418. Let u = -256.949 + a. What is the third biggest value in u, -1\/2, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -47. Let p = -30 - w. Solve 4*i - p = -a, 3*i - 12 = -0*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**3 - 3*t**3 - 42*t**2 - 5 + 0 - 212*t + 3.\nAnswer: -4*t**3 - 42*t**2 - 212*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*p*w**2 + 66*p + 342*w**2 - 13 wrt p.\nAnswer: -5*w**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 497 - 325. Let u be k\/60 - 1\/5. Do 3 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134*q = 619*q - 10700 - 3607 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-4) + (-6)\/(-4). Suppose 17 = -r*x + 3. Does 12 divide ((-12)\/7 + 0)*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/1067 in -7\/138, 5, -4, 3\/5, -2, 0.3?\nAnswer: -7\/138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 25305 (base 7) in base 6?\nAnswer: 50513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.36?  (a) -4  (b) 207\/16  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = -196 - 105. Let w = -31 - x. What is the units digit of -1*10*w\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 39.2 - 38.2. What is the closest to v in 0.1, -1\/6, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/24 + 5\/40*-2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-601 - 96*v**2 + 601)*(-v**2 - 2*v**2 + v**2) + 0*v**4 - 4*v**4 + 2*v**4 + v**2.\nAnswer: 190*v**4 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 73935 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 701*i**3 - 13*i**2 + 12*i**2 - 701*i**3 + 272*i**4 - 2*i wrt i.\nAnswer: 6528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - 97. Let p(g) be the first derivative of -g**2\/2 - 189. What is f(p(q))?\nAnswer: -q**2 - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 546\/22 - (-4)\/22. Suppose -22*m + c*m = 60. Calculate the highest common divisor of m and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*a - 11*a - 4 + 146 = 0. Let n(m) = m**3 - 5*m**2 + 9*m - 1. Determine n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - 358?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129636553?\nAnswer: 4519, 28687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -3. Let f(c) = -4. Let o(t) = -3*f(t) + 3*w(t). Let n(z) = -z. Give -2*n(l) + o(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -46 in -17, 0.42, 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 66*z - 120. Let u(h) = -22*h + 34. Determine 4*k(p) + 14*u(p).\nAnswer: -44*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 635419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*y**2 - 2*y - 5\/3.\nAnswer: -(y + 1)*(y + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 - 23. Let f = -193 - -196. Which is the closest to 2?  (a) -1  (b) f  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 5*i - 2*i - 1, 0 = 5*l + 3*i - 19. Suppose -l*n + 24448 = -5*v, 0 = 5*n - 3*v - 78595 + 17456. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2464015 weeks to hours.\nAnswer: 41.395452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r + 18*r = -168. Let c be -3 + ((-384)\/r)\/1. Factor -3\/7 + 30\/7*t - c*t**2.\nAnswer: -3*(5*t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/11  (b) -4  (c) 0.4  (d) 8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -255 - -194. Which is the closest to -1?  (a) 1\/10  (b) 5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -121 + 123. Solve 0*h - 5 = f*v + 3*h, -1 = -v + 2*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6351424807.\nAnswer: 7, 13, 69795877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 3*y - 151 - 5, 2*l - 5*y = 139. Let a be 12\/(-16) - l\/(-12). Which is bigger: a or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j*j**(-2\/3))*j)**13*(((j\/j**(-1\/5))\/j*j)\/j)**33)**26 assuming j is positive.\nAnswer: j**(5954\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, m: 2, b: 4}. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -30307*g - 1. Let u be s(-2). Let a = -42711 + u. Let h = 322135\/18 - a. Calculate the common denominator of -41\/8 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171433.\nAnswer: 251, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -4*f**3 + f**2 + f - 1. Suppose 5*u - 6*u = -5. Suppose 5*w + 3*g = -307, -3*w + u*g - 165 = -8. Let t = w - -60. Give b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3*g**2 - 4*g - 2. Let x = -55 - -55. Suppose -n = 4*p + 15, 2*n - p + 3 = -x. What is a(n)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhc when three letters picked without replacement from {c: 1, q: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 198707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**2\/3 - 84115550*c\/3 - 84115556 = 0. What is c?\nAnswer: -3, 42057778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -27 - c813c2?\nAnswer: -c813e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1361 take away 0.27444538?\nAnswer: -1361.27444538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 0*y**5 + 268*y**2 - 20\/3*y**4 + 0 + 0*y**3 + 0*y + 26\/15*y**6. What is the second derivative of p(h) wrt h?\nAnswer: 1248*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = 101*d - 68*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(13))**2 + 0 + -1 + sqrt(13) + -4)*-6.\nAnswer: -1218 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dhe when three letters picked without replacement from {e: 1, d: 2, n: 1, h: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 2*s - 85 = -s, s + 166 = -2*h. Let z = 86 + h. Solve 0*u + 10 = -z*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, v: 3, r: 3, e: 4, l: 2, d: 3}. Give prob of sequence rded.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*p**2 - 21*p**2 - 13 - 2 - 6 to k*p + a*p**2 + u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1100331 + 3?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 17, -1, -2\/61?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4980261026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 + 0.705. Round t to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3*(1 - (-6)\/(-9)). Let k = f - 1. Suppose k = -3*g + 6*g. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/15 + 2\/3*o**2 + 14\/15*o.\nAnswer: 2*(o + 1)*(5*o + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 165*s**4 - 64*s.\nAnswer: 1980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1, 3, 1, -11, -39, -89, -167?\n\"Answer: -d**3 + 4*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2401325 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*t + 15*t - 36 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8028*m = 15860*m - 7462*m + 40330 for m.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 31 = 41 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 678123 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of 3*l**4\/4 + l**3\/3 + l**2 + 14. Calculate w(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(-9)*9*2. Suppose -2*l - l = k. Sort 3, -5, l in decreasing order.\nAnswer: 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154\/13 greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00007926436 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 - 11*w**3 + 22 + w**3.\nAnswer: -10*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 2:56 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -102420 - -443?\nAnswer: -101533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2119 is divided by 178.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n**2 - 2*n**2 - 4*n**2)*(1 - 1 + 2*n) - n**2 - n**3 + n**2 - n**3 + n**2 - n**2 - 12*n**3 + 8*n**3 + 3*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -5*f**3 + 21*f**2 + 23*f + 26. Let q(j) = 2*j**3 - 11*j**2 - 12*j - 13. Let v(m) = 7*q(m) + 3*y(m). What is the tens digit of v(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + (18 + -38 - (6 - 0)) - -6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 13  (b) 32  (c) 3  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -1342262232?\nAnswer: -1342262240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -104297, -104295, -104283, -104255, -104205, -104127, -104015?\n\"Answer: u**3 - u**2 - 2*u - 104295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -142400.5193 + 26.5193. Let l = -141681.99 - y. Let c = -695 + l. Round c to 1 decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/3*(33\/(-44) + 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 552849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -14088, -14081, -14072, -14061, -14048?\n\"Answer: i**2 + 4*i - 14093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of m**4\/24 - m**3\/3 - m**2. Let f be 0\/(-1 + -1) + -5. Let z = f + 10. Give y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - (-5)\/2)*(-7 + -1). Suppose 5*d - 17 = -j*h, d + h = -0*d + 4. Sort 0, d, -2.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1620*c - 116*c + 2925*c - 376*c to v*c + q and give v.\nAnswer: 4053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -1053, 5.\nAnswer: -1053, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c**2 - 5*c + 5*c + (-4*c + 3*c + 0*c)*(c - 2*c - c) + 2 - 2 - 3*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 60, -14, 3, 2 in ascending order.\nAnswer: -14, -5, 1, 2, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, 5, 4, -4, 193, -0.112?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 2\/9  (c) -1\/577  (d) -0.4  (e) 2486  (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (2 + -3 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 2)*(6987*s - 6987*s + 115*s**5) - 5*s**5 + 8*s**5 + 0*s**5.\nAnswer: -227*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of -23*n**4\/3 - 140*n**3\/3 + 186*n**2 + 4368*n. Factor h(c).\nAnswer: -4*(c - 1)*(23*c + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 93 - 53. Suppose -5*v = 5*m + d, v + 8 + 9 = -4*m. Let g(i) = 3*i**2 + 5. Let b(u) = -5*u**2 - 8. What is v*b(f) - 8*g(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 246, -0.5, 2\/13, 108?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -4*s**3 - 1 - 1 + 3*s**3. Let x(h) = -6*h + 3*h + 0*h. Calculate a(x(r)).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 239\nAnswer: 119.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-13)\/(-2) + 2\/4. Let k = -3 + x. Suppose z + k*z = 35. Solve -p - 3*w = z, 5*w + 1 = 3*p + 3*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from rrkoukutfkkrro?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 6*z - 7. Let l(h) = 17*h - 21. Let b(s) = -4*l(s) + 11*t(s). Give b(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - 9*i - 8. Let z be v(-8). Suppose z = -3*w - m + 134, -w = m - 3*m - 47. Suppose 4*u - 3 = w. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 4:25 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 651619\/20 or 32580?\nAnswer: 651619\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41.2 - 40.7. What is the second smallest value in -4, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/(-4)*(-9)\/(-6). Let o(y) be the first derivative of z - 2\/9*y**3 - y**2 - 4\/3*y. Find p, given that o(p) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 h, and 1 c when three letters picked without replacement from cychhbbgbchhby.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 43, 77, 103, 115, 107?\n\"Answer: -i**3 + 2*i**2 + 35*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 3420116*d**3 - d**2 + 2*d. Let a be h(-2). Let v = -4213562667\/154 - a. Let p = v + -974\/7. Find the common denominator of -19\/10 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36 + (21 + -20 - 28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yhyhuyuuuuuyyyuyuy. Give prob of picking 3 y and 1 h.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -1, 1, -61, -5, 2, -2 in increasing order.\nAnswer: -61, -17, -5, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 PM and 11:51 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2\/7, -3\/34, 36 in decreasing order.\nAnswer: 36, 5, -3\/34, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -130 - -132010311013?\nAnswer: 132010310223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/1 + 0 + 3. List the prime factors of (691\/q)\/1 + (19 - 16).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + o - 10 = -4*l + 10, -12*l - 3*l - 19 = o + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that s**5\/5 + 7*s**4\/5 - 6*s**3\/5 - 112*s**2\/5 - 32*s = 0.\nAnswer: -5, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 48.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 25*p**2 - 44*p + 390. Let f(v) = -v**2 + 3*v - 26. Let s(u) = -15*f(u) - z(u). Let h be (-2 + 2)\/3 - -1. Calculate s(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104293?\nAnswer: 7, 47, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 1. Let n(b) = -26*b + 4. Let w(s) = -n(s) + 5*v(s). Let x(f) = 3*f. Determine x(w(t)).\nAnswer: 78*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -4*h**5\/5 + 8*h**4\/5 + 3468*h**3\/5 - 9248*h**2 + 78608*h\/5 = 0?\nAnswer: -34, 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 10 = 4*w + 30, m - 4 = -5*w. Solve -4*r + 2*r - 6 = 0, w = -a + 4*r + 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*v + 2*h, 2*v = 3*v + 4*h + 14. Let t = -1 + 2. Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/38, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 - 26*z**2 + 27*z**2 + 2*z**3 + 14. Is 7 a factor of x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11532 (base 8) in base 16?\nAnswer: 135a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 9. Suppose 2*x = -r - j, 3*x + 10 = r - 4. Sort x, -9, 5 in decreasing order.\nAnswer: 5, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -47*d**4 + 8*d**2 + 43*d**4 + 6*d**2 wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2\/7, -3\/20 in increasing order.\nAnswer: -5, -3\/20, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 292822059 to the power of 1\/2, to the nearest integer?\nAnswer: 17112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (7 - 7)\/(2\/2). Let m be -14*(z + 1 - 2). Let p = m - 3. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 12*p**2 + p - 19. Let t(q) = -12*q**2 - q + 22. Let l(b) = -7*j(b) - 6*t(b). Suppose -5 = 2*z - 7. Determine l(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -427*h = -510*h - 415 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v. Let g(h) = h**2 - 2*h - 2. Let o(c) = 16*c**2 - 14*c - 15. Let j(r) = 14*g(r) - 2*o(r). Give j(k(l)).\nAnswer: -72*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1531461 and 1821?\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 PM and 11:23 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 5*w**2 - 5*w + 6. Let j be d(-6). Suppose j = 4*s - 130 - 106. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*i - 1050*i - 808*i - 87*i.\nAnswer: -1904*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*d - 29*d = -10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 108*x + 25. Is b(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8 + -4)\/(1 - -1) + -3. Sort -5, 0, c, 284 in descending order.\nAnswer: 284, 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 2*z - 18, 5*u = -2*z - 0*z + 17. What is the greatest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 + 4*f**2 - 4*f + 5. Suppose 2*k - 12 = 4*w, -19*w + 9 = 2*k - 20*w. Suppose 0 = i - k. What is j(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8823.38m in centimeters?\nAnswer: 882338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gssslgggsssslsssggsg. What is prob of picking 1 s and 2 l?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 9510 divided by 5?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 8*y**3 + 4*y**2 - 17*y + 14. Let f(a) = 9*a**3 + 5*a**2 - 18*a + 13. Let i(s) = -5*f(s) + 6*k(s). Is i(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*c + 124 - 181 + 63.\nAnswer: -8*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -31, -34, -37, -40, -43?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 2*f - 3, 0*f - f - 3*a = -24. Calculate the greatest common factor of f and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1092 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/3475647 and 20\/9503.\nAnswer: 768117987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s - 3*s + s**3 + 2*s**3 as v + q*s**2 + p*s + r*s**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4*t**4 - 26*t**4 - t**3 - 32*t**4 in the form v*t**3 + c + l*t**4 + k*t + x*t**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -36 + 263. Is n a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000618146159 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (10 + (-56)\/6)*3. Suppose -2*t + 7 = -1. What is the second derivative of 2*x - 3*x**t - x + m*x**4 + 7*x**4 wrt x?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 15429932, 15429914, 15429900, 15429890?\n\"Answer: 2*z**2 - 24*z + 15429954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -31.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 683, 1367, 2051?\n\"Answer: 684*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -76*v + 74*v + 426. Calculate the remainder when v is divided by 109.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of 8*a**6\/3 + 15*a**2\/2 - 31*a. Find the first derivative of q(k) wrt k.\nAnswer: 320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 226338 + -132202. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29747 is divided by 277?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -8757906, -35031596, -78821080, -140126358?\n\"Answer: -8757897*v**2 + v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 40, 5, -4, 1, -5 in decreasing order.\nAnswer: 40, 5, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 11134478 and 0.5.\nAnswer: 11134478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l**2 - 3*l**2 + 3*l**2)*(15*l**2 + 6*l**2 - 7*l**2).\nAnswer: 56*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19312 and 7668.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 99, 189, 253, 279, 255, 169, 9, -237?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**2 - 452160*v - 452167*v - 452167*v + 5*v**2 + 1356494*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 7\/2, 3, -2\/3, 146.3 in descending order.\nAnswer: 146.3, 7\/2, 3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -1. Let i be 4\/2 + (-9)\/5. Let o = 20 - 20.2. Which is the nearest to o?  (a) i  (b) 2\/15  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of n**4\/12 + n**3\/6 + n + 2. Let h(c) be the first derivative of v(c). Find the second derivative of h(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-6) - 8\/(-6). Let n = -0.047 - 2.953. Let l be (2\/6)\/(-1*2). What is the nearest to j in n, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 8) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 31341810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*s**4\/7 - 446*s**3\/7 + 558*s**2.\nAnswer: -2*s**2*(s - 7)*(8*s + 279)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 618 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/14 - 0\/1. Let b(i) = i**3 + 30*i**2 + 58*i + 57. Let h be b(-28). Sort r, h, -4 in ascending order.\nAnswer: -4, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 88*p + 1. Let s be w(5). Let v = s + -104. Find the third derivative of -v*t**6 + 321*t**6 + t**3 + 7*t**2 - t**3 wrt t.\nAnswer: -1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2853120 by -256.\nAnswer: 11145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of -o**7\/21 - 37*o**5\/20 + 331*o**4\/12 + o - 30. What is the third derivative of i(g) wrt g?\nAnswer: -120*g**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 164011 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 + 3*u**2 + 5*u + 12. Let n be k(5). Let h be 7 + n + (-6 - -4). Let x(p) = -p**2 - 11*p + 4. Calculate x(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3057259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 4\/5, 445, -92\/7, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 3 - 54\/3. Suppose -3*v + 19 = i, -2*i - 3*v = i - 69. Let g = i + y. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -6*b**2 - 7. Let i(k) = 1. Suppose s - 3*s - 2 = -3*u, -u = -2*s - 2. Let l(o) = s*r(o) - 6*i(o). What is the remainder when 73 is divided by l(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(1216) + 1)*4 + -2 + 6*((3*sqrt(1539)*-2)**2 - (-5*(sqrt(1539) + -1))**2).\nAnswer: 2732*sqrt(19) + 101427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - o + 2, o = 2*m + 2 + 1. Let u(s) be the first derivative of s**4\/4 + s**3\/3 - s**2\/2 + 3*s + 4. Let b be u(0). Solve -m - b = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4211448 times 3\nAnswer: 12634344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5\/(25\/295)*2. What is the highest common factor of 649 and t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 0*x - 4*x + 4*x - x + 1. Let l(v) = 2*v + 5. What is 2*c(q) - l(q)?\nAnswer: -4*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1844667001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (156\/(-26))\/(-3)*(-15)\/40?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/344 and 10\/370359?\nAnswer: 2962872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56721527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -4.141\nAnswer: -2.0705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 54 and 1332.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/10)\/(2511\/465).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 318*a**2*m**2*x**3 - 17*a**2*m**2*x - 1720*a**2*m*x**3 - 1232*a**2 + 6*a*x**2 - 2*m*x**2 wrt x?\nAnswer: 1908*a**2*m**2 - 10320*a**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -16*v**3 - v**2 + v + 1. Let l be (-4)\/8 - (-2)\/(-4). Let c be g(l). What is the greatest common factor of c and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - 0\/(-2) - -6. Suppose 2*p + 270 = n*p. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 6 + 10 + 3 - 5 + 4 + (0 + 0 - 2)*(2 + 0 - 4) + 3 - 3 - 2 - 3 + 5 - 1)*(6*q + 2*q - 4*q).\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 498970 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/26  (b) 1\/57  (c) 3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 257701\/2 - 128848. Let s = -0.6 + -2.4. What is the fourth biggest value in 24, -2\/7, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**24*s*s*s**15)**(-28) assuming s is positive.\nAnswer: s**(-1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011202100022100 (base 3) to base 6.\nAnswer: -1401405313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52 - 30 - -25) + -34 - (-5 + 51)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 PM and 5:21 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -425 divided by 17?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 4 = -3*g, h = 4*g - 3*h - 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, -15, 0.804, -1\/9, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + (9\/(-6))\/((-3)\/(-4)). Suppose 3*l - 10 = -2*l. Let w be (v\/(-9))\/(l\/(-6)). Sort 5, -4, w in descending order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 4*p + 13. Let v(h) = 5*h + 13. Let f(y) = 4*n(y) - 3*v(y). Let t be f(-10). Solve t*o - 1 - 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Let c be 0*5\/(25 - 5). Which is smaller: -36\/47 or c?\nAnswer: -36\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26e52 (base 15) to base 5.\nAnswer: 12442402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3 - 529647*g**2 + 6356088*g - 19068588.\nAnswer: -3*(g - 6)**2*(g + 176561)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 985 by -197.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l + 3. Suppose 2*g - g - 6 = 0. Let i be c(g). Solve 51 = -3*b + 5*w + 14, i = 3*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 2, 542, -13\/1494?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 14173488035\nAnswer: -14173488036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 72*h**2 - 4*h + 3. Let s be z(1). Let g = s - 25. Let b = 48 - g. Put b, -8, -3 in ascending order.\nAnswer: -8, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34512*j**2*s**3 - 2*j*s**3 + 827*j*s wrt j.\nAnswer: 69024*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/2*-2*-3. Suppose 4*j = u*i + 517, 2*i + 133 = 2*j - j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 49b1 + 1?\nAnswer: 49b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*j - 50*j = 2*f - 26, 5*f = 4*j - 19 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 3:18 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 7*h**3 + 4*h**2 - 6*h - 6. Let s(j) = 2*j**3 + j + 1. Let i(w) = -16*w**3 - 3*w**2. Let y(o) = i(o) + 5*s(o). What is -3*a(p) - 4*y(p)?\nAnswer: 3*p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, e: 3, l: 4, s: 2, p: 1, k: 1}. Give prob of sequence eekl.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/2 - 1922572*y - 1848141547592.\nAnswer: -(y + 1922572)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*c**3 + 7*c**3 - 7*c**3 - 9*c**3 + 2*c**2 as w*c**3 + n*c**2 + p*c + s and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 + -1 - -5)*(57 + 5). Let q = g + -116. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 11*d - 613. Let y(b) = -14*b + 613. Determine -4*n(h) - 3*y(h).\nAnswer: -2*h + 613","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 1*(-2 + sqrt(19)) + ((sqrt(2736) + sqrt(2736)*4 + 1)**2 - sqrt(2736)).\nAnswer: 109*sqrt(19) + 68399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 - (2\/(-7) - (-9)\/7). Suppose k - 174 = p, 3*k + g*p - 498 = -0*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9 - -4)*(-16)\/130. Let y be ((-550)\/44 - -1*2)*(-296)\/3367. Solve l*h**2 + 2\/13*h**3 + 2\/13*h - y = 0 for h.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (7 - 1)) + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 6*m + 10. Let p be r(4). Suppose q + 1144 = 3*k - 3345, -4487 = -3*k + p*q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1348704 divided by 16056?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -3.2. Let n = 7.8 + r. Let d = n - 9. What is the nearest to 2\/7 in 3\/5, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (1 - (-14 + 11))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -452744, 2, 0 in ascending order.\nAnswer: -452744, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -214 by -746.\nAnswer: 107\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 1 - n**2 - 3*n + 0 + 2*n. Let m(x) = 4*x**2 + 4*x - 2. Let l = -120 - -138. Suppose -l = 3*g + 6*g. What is g*m(i) - 6*s(i)?\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - 3 + x**2 + 3 + (3*x + 0*x + 0*x)*(0*x + x + 2*x).\nAnswer: 10*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -58\/61833 and 49\/18.\nAnswer: 370998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.8, -117, 332?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sstt when four letters picked without replacement from yyysyzttpsypspyyttt?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z - b = 5*z - 7, 5*z + 32 = 4*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4990, 7169, 9348, 11527, 13706, 15885?\n\"Answer: 2179*t + 2811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4252866 divided by -2126433.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 1255*v + 4 - 1515*v - 4 as y + u*v and give u.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 29*r + 310. Determine h(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 16*b - 61. Calculate m(22).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-140*d - 7*d**3 + 23*d + 6*d**3)*(0*d + d + d) as s*d**3 + c*d + y + w*d**4 + v*d**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 171 (base 14) to base 12.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {x: 1, t: 1, k: 2, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*l - 42 + 33 + 77. What is the closest to 0 in l, 0.5, -24?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24452 is divided by 429.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14532621\/101 + 143886. Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m**3 + 2*m**2 + 158*m + 19. Is q(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -105, -4, -3, -5, 0 in descending order.\nAnswer: 0, -3, -4, -5, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 32 + -155236421?\nAnswer: -155236356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2)*(h**2 - 5*h**2 - 7*h**2)*(4 - 4 + 2).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107 = 138*x + 31 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.32922  (b) -1  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 337688896.\nAnswer: 2, 229, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + (-1 - -3) + 3. Suppose 0 = 2*s + 3*s. Let z be s + 6\/15 + -1. Sort m, 0.4, z.\nAnswer: z, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - 11)*2\/(-28)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 14, 12, 26, 62, 126, 224, 362?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-4 - 0) + -22 + 25 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*a - 441 = -54*a + 43*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-6))\/((-154)\/(-29106))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -66.9389 + 1.9389. What is the third biggest value in -2\/3, 1, p, 20?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4288 - 13207 = 109*b + 128*b + 4116 for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 96321475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -646 + 1304. What is the remainder when d is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7465332*l**4 + 48*l**2 + 9*l + 401.\nAnswer: 179167968*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -3 - s**2 - 3*s + 0*s + s + 6*s. What is z(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.103 + -0.057. Let v = -6.16 - i. Sort 1, 0.09, v in descending order.\nAnswer: 1, 0.09, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 818 or 820?\nAnswer: 820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + 482?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 71337.23 kilograms?\nAnswer: 71.33723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 4*r - 11 + 1, 4*r - l - 14 = 0. Is ((-1 - 21)*1)\/(r\/(-12)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12840565 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: Calculate the remainder when 2525 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (347\/(-2429))\/(4\/24)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/158 and (2 - 11)\/(9\/(315\/20)).\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 + 160*o + 2 - 159*o)*(-2*o**2 - 2 + 2).\nAnswer: -2*o**3 - 36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 + -7. Let o = m - 3. Let g = 1.00000002 - o. What is g rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + 15. Suppose -5*r + 3*w + 16 = 0, 5 = 4*r - 4*w - 11. Calculate the highest common divisor of r and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -2*n + n - 28, -3*z + 52 = -4*n. Let v(d) = -3*d**2 + 3. Let b be v(3). Let s = n - b. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5186955?\nAnswer: 3, 5, 17, 20341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 4 - 4 + 2*c. Let s(h) be the first derivative of -6*h**2 + 39. Determine m(s(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 515 = -4*d + 514, -4*o - 72 = 13*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2*v + 24 = 0, -5*a - 39 = -8*a + 5*v. Let c = -8 + a. Solve -4*n = -3*z + z - c, 2*n - 7 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -19*x**3 - 97*x**2 - 751. Let u(g) = 5*g**3 + 4*g**2 - 1. Let y(b) = -l(b) - 4*u(b). What is the derivative of y(p) wrt p?\nAnswer: -3*p**2 + 162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 40 = 110. Find the common denominator of 73\/8 and l\/2*28\/(-120).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 - 11001?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 421378410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1785*x + 209*x - 535*x to the form g + h*x and give h.\nAnswer: 1459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + -1 - 2 - -2. Let y(h) = -h**3 + h**2 - h - 2. Give y(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/2, -3, -3\/40, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/3 + 31*n**2\/3 - 199*n\/3 - 77.\nAnswer: -(n - 21)*(n - 11)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -276 - -404. Let v(x) = -42*x + 7. Let i be v(-6). Let j = i - p. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 531610657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 z when three letters picked without replacement from {z: 5, a: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.0715851 centuries?\nAnswer: 7.15851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 385723.1 decades?\nAnswer: 3857.231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 0  (b) -2  (c) -1  (d) -2537\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 279 and 651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10426 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.7275 to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 8502, 8404, 8306?\n\"Answer: -98*n + 8600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 32 - 4 = 0. Suppose 2 + n = u. What are the prime factors of (-2460)\/(-65) + u\/39?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = 9*b + 72. Let l = b - -27. Suppose -z - j = -9, -4 = -4*z + 2*z + 5*j. Solve 8 = g + l*p, -2*g - 2 = 4*p - z*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from accl. Give prob of sequence clc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -42.82121 + 0.07821. What is b rounded to one decimal place?\nAnswer: -42.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a decade in months?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.058670033 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4166*n**4 + 775*n - 1 + 1660*n**4 + 114*n**4 + 390*n**4 wrt n?\nAnswer: -24024*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-2 + 6 - 8) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.03678 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 616163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 4*s + 8. What is m(-8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*r + 307 = 209 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - 9*y**2 - 13*y - 4. Let b be f(-7). Let a(p) = -2*p + 9. Let z(q) = 9 - 8 + 1 - q + 3. Calculate b*z(w) + 6*a(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1905789417?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -557735, -2, 0 in decreasing order.\nAnswer: 0, -2, -557735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/(-8))\/(3\/6). Is (5 - -4)\/(-3) + 790\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7227377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k**2. Let l(t) = 6926970*t. Calculate d(l(s)).\nAnswer: -95965826761800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(200) + sqrt(200)*-1 + 1*(-3 + sqrt(200) - sqrt(200)))*-4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 - 241*u**2 + 2088*u + 5. Give t(232).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000004959 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -302 = 2*y - 298 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109375 = -1084*k - 98535 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d + 0*d - 3*d + (-3 + 3 - 2)*(d + 3*d - 3*d) + d - 5*d + 2*d - 12*d - 91*d - 50*d.\nAnswer: -156*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 101068473 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5024 (base 9) to base 10.\nAnswer: -3667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r**3 + 7391*r + 1 - 5 + 2064*r + 5.\nAnswer: r**3 + 9455*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of w**4 - 27039*w**2 - 185*w - 13139546?\nAnswer: 4*w**3 - 54078*w - 185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3352103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 g when four letters picked without replacement from txggtxxttgexxteextg?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*u + 29*u - 9*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 4*j - 56. Let x be f(0). Let y be (-1190)\/x + 6\/8. Suppose -4*m = -2*m - y. What is the lowest common multiple of 2 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {k: 5, m: 8, b: 5}?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119)*1*3 - sqrt(119)) + sqrt(119))\/(sqrt(1575)\/sqrt(9)).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 303b7 (base 16) to base 7.\nAnswer: 1451655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r**3 - 4*r**2 + 4*r - 3. Let q = 1 + 1. Let v be u(q). Put 4, 2, v in increasing order.\nAnswer: 2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1 + 1.067.\nAnswer: 1.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.7?  (a) 36  (b) 40\/13  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 5 = 3*m - 14, 3 = -m - 4*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -5*y - 1. Let r be 4\/(-10)*(6 - 1). Let q be b(r). Suppose -11*i = -17*i + 162. What is the greatest common divisor of i and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 10, q: 3, m: 3, z: 4}. What is prob of picking 1 z, 2 v, and 1 q?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -707, -724, -729, -716, -679?\n\"Answer: f**3 - 24*f - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2 + 0 - 58*h + 53*h - 3. Determine l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 800984384*h**3 - 1207764618?\nAnswer: 2402953152*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 12871, -79 in decreasing order.\nAnswer: 12871, 0, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 5:08 PM?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + 1 + -1 + -1)**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9883 or 9928?\nAnswer: 9928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 29\/(-6) - 1\/6. Let t(y) = 9*y**3 - y**2 + y. Let m(x) = x**3 + 8*x**2 - x - 5. Let c be m(-8). Let b(u) = 5*u**3 - u**2 + u. Calculate c*t(p) + j*b(p).\nAnswer: 2*p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 170 and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9185\/(-165) + 54)*9\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24873809 is divided by 13865?\nAnswer: 13864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3*(-3)\/(45\/5). Solve 2*i + 5 = q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 6*g + 9. Let c be o(-3). Let t(n) be the third derivative of -n**4\/24 - 2*n**3 + 4*n**2. Determine t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -225 - -237. Let w(z) = 4 - 10*z - 6*z**2 - g*z - 7 + 26*z. Give w(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1095.7 + -1096. What is the smallest value in -26, i, 1.1, 0.1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 3*k = -20, 0 = -2*t + 4*t - 2*k - 8. Let y = -5 + 0. Put 0, y, t in increasing order.\nAnswer: y, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 186*h - 183*h = 0. Which is smaller: h or -1\/1025?\nAnswer: -1\/1025","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = 4*m - 5*g, -2*m + 6*g = 4*g + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*d - 999 - 6917 - 599 = 175 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r - 2. Let m be o(0). Let s = -4180 + 4179.9. What is the nearest to 1\/3 in s, 2, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11377 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0*(-2)\/(-8))\/1. Suppose 0 = 4*m - y + 8. Is 16812\/24 + 1*(-1)\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/28 - 46\/(-14). Let k = 3 - 4. Put m, k, 4 in increasing order.\nAnswer: k, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2. Suppose 4*d - 6 - 2 = 0. Let j(c) = 118 + 2*c**d + 5*c**2 - 118. Calculate l(j(n)).\nAnswer: -49*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -175*j**2 - 1050*j - 210. Let u(g) = g**2 - 5*g - 1. Determine 210*u(s) - v(s).\nAnswer: 385*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001433 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*j + 2*j**3 - 3*j + 1012 - 1012.\nAnswer: 2*j**3 - 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y + 2 + 1 - 4 - y + 0 + 0 + (-3*y + 2*y + 2*y)*(1 - 4 + 1) + (-44 + 17 + 47)*(-4*y + 2*y + 4*y) - y + 4*y - 5*y.\nAnswer: 37*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -3*b + 11, 6 = -3*t + 3. Let l(y) = y**2 + 5*y + 7. Calculate the remainder when l(-6) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -3  (c) 463942  (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Is 41661747631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbxbbbbxxbbb.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 11628*v + 61213*v + 1.\nAnswer: 49585*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -m - 14*m + 3*m to the form q + r*m and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17\/4 - -19\/4. Let v = -131\/3 + 44. Factor -c*z + 1\/6*z**5 + 1\/6 - 1\/2*z**4 + v*z**2 + 1\/3*z**3.\nAnswer: (z - 1)**4*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.53 + -0.47. What is the closest to a in 3\/5, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oduookdkodk. What is prob of sequence dd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1371412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2841 times -11?\nAnswer: -31251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1095*u - 25842 wrt u?\nAnswer: 1095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (-42 - -24)) + -5 + 0 + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -80 + 38. Let j = 18 + p. What is the common denominator of ((-1)\/(-2))\/(j\/404) and 79\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 525 - 520. Suppose k*x - 52072 + 242 = 5*w, 5*x - 51833 = 4*w. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140787661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4035, -16185, -36439, -64797, -101259, -145825?\nAnswer: -198495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r + 17. Let o be u(-10). Let d(b) = -b**2 + 4. What is d(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/2 + -7 + 2. Let h(k) be the first derivative of -k**2\/2 + 2*k - 11. Give h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -63*(-6 - (-4)\/(-4)). Suppose 17 - 413 = -4*i - 4*h, 5*h = 4*i - c. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -24 and 12.4.\nAnswer: -297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.4 - 3.65. Let s = -5.75 + r. Is s > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 48*k**3 + 2*k - 1. Let i(v) = v - 5. Let t be i(6). Is c(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -7*g**2 + 13*g - 45. Let w be s(-13). What is the smallest common multiple of (2\/8)\/1 - w\/44 and 28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand n**3 + 3*n**3 - 2*n**3 + (-52 - 32*n**3 + 52)*(-88 + 243 - 26) - 2*n**3 - 2 + 2.\nAnswer: -4128*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 648234.898 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*j + 3967 - 890 = -201*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) 0.4  (b) 9\/16  (c) 8\/7  (d) 98.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 52126 and 18286.\nAnswer: 476588018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0204029 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of -t**5\/60 + t**4\/2 - 11*t**3\/6 + t**2\/2 + 16*t + 113. Let j(a) be the second derivative of i(a). Give j(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-6*(sqrt(125) + (sqrt(125) + 1 - sqrt(125))*1 - (0 + sqrt(125) + -4))*-5*2)**2.\nAnswer: 450000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -511 + 414. Do -98 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3*s - 15 = 0, 3*k - 2*s + 6 + 39 = 0. Let g = k + 21. Let m(n) = n**2 - 7*n - 13. Let f be m(9). Is f less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (5 - (-2 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 3 + (-5 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, o: 1, g: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express d**4 + d**2 + 2242*d**3 - 2265*d**3 - 3*d**4 - 1 + 2*d - 1 in the form s*d**2 + r + w*d**3 + p*d + i*d**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/(-165))\/((20\/(-100))\/((-6)\/(-6))). Factor u*s**2 + 30\/11 - 32\/11*s.\nAnswer: 2*(s - 15)*(s - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13 - 6. Let z = k + -6.8. Let n = 2 - 6. Which is the closest to -1?  (a) n  (b) 3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4*q - 168 = l, 3*l - 252 = -2*q. Suppose -l = -3*u - 30. What is the highest common divisor of u and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h - 7. Let q(d) = -d**3 + 5*d**2 + 7*d + 1. Let l be q(6). Let x be b(l). Suppose 3*i - 2*i - 88 = x. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15.199*-1\nAnswer: -15.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 5 = 5*l - 3*k, -5*k = -2*l + 2. Let y(v) = -3*v**2 - v + 1 + 8*v**2 + 2*v**2. What is the units digit of y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**3*r*r**(-6))**30*(r**(-1)*r**(-2\/7))\/((r\/r**(-2\/5))\/r)**22 assuming r is positive.\nAnswer: r**(-2453\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-3*2\/21)\/(4\/(-14))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 613720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 99 - 58. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 10 = -0*u + 4*g, -4*g = -u + 18. Suppose 0*c = 5*q - 2*c - 6, 0 = -2*q + u*c. Solve x = -4*r + 2*r + 1, q = 5*r + 3*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39.922982528 + -39.923. Round s to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 25 - 59 = 0. What is the remainder when 62 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 + 8*d**2 + 4. Let x be r(8). Solve 6 = v + x*h, -4*v = -0*h - 2*h + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100100002222201101 + -11?\nAnswer: 100100002222201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 6712434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 59.6 - 68. Let d = t + 8.2. Which is the nearest to 1\/4?  (a) -1\/2  (b) d  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2703320 by -142280.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -26  (b) -0.3  (c) 1.383  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m**3\/5 - 66*m**2 - 2796*m\/5 - 4248\/5 = 0. What is m?\nAnswer: -6, -2, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 r when four letters picked without replacement from gggrggrrgggg?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 5 = o, -3*m = 5*o - 1983 + 1958 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 47 + 99 + 134 - n**2 - 55 + 0*n**2 as z*n**2 + q + i*n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 5*g - 5. Suppose -21 = 3*r - 6*r. Is h(r) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 37950 and 3450.\nAnswer: 37950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21 - -6. Let d = -20 + 41. Let n = d + z. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 82250*d - 329008. Calculate j(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6415 - -6414. Let c be ((-5)\/10)\/(2\/8). Put h, c, 4 in descending order.\nAnswer: 4, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 - 26*f**2 + 3*f - 13. Give a(-26).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 834 is divided by 397.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 407592 and 137122?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the third derivative of d**4\/6 + 35*d**3\/2 - 31*d**2. Let f be l(0). Let z be (9 + -2)\/(2\/6). What is the highest common factor of f and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 2*i - 6 + 20, -3*v = -i + 15. Let k = i + -2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91 + 51 - 69*i + 20*i**2 + 66.\nAnswer: 20*i**2 - 69*i + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 502*s + 33157. Calculate h(-66).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -1 - (-11 - 1) - 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-176 + 108 - 364)*(-6*l + 6*l - 5*l**2).\nAnswer: 2160*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7169*y**4 - 2*y**5 + 1282*y + 3756*y**4 + 4376*y**4 wrt y.\nAnswer: -40*y**3 + 11556*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of -f**8\/420 + 4*f**7\/525 + f**6\/75 - 8*f**5\/75 + 7*f**4\/30 - 4*f**3\/15 - 2*f**2 + 3*f. Factor m(k).\nAnswer: -4*(k - 1)**4*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - 0.3. Let u be ((-26)\/39)\/(0 - 12\/(-9)). Suppose -4*i - 11 + 2 = -5*h, 0 = -3*i - 3. Which is the closest to -0.1?  (a) j  (b) h  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 64 and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -34*b**2 + 19*b - 69. Let v be d(13). Does 87 divide (v\/(-112))\/((-8)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1030*g + 700*g + 1650 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2122?  (a) 4\/17  (b) -2\/3  (c) 0.1  (d) 6  (e) 3  (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-99)\/22*(-488)\/(-122).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11544295?\nAnswer: 5, 7, 193, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 50970937?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 250 - 1756\/7. Let o = 0.154 + 1.786. Let g = o - -0.06. Put 5, b, g in decreasing order.\nAnswer: 5, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zrzrz. Give prob of sequence rzzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 3, 0.4.\nAnswer: 0.4, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.5 - -3. Let h be 15\/10*4\/21. Sort -0.1, o, h in increasing order.\nAnswer: o, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -696 at most -725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 10:47 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-90)\/99*(4 - 57\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2603664, 2603663, 2603662, 2603661, 2603660?\nAnswer: 2603659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*v**2 - 5*v**2 + 11*v**2)*(-3*v**3 + 0*v**3 + 4*v**3) - v**5 + v**2 - v**2.\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + -19. Let d be (-1)\/x*-2*-31. Let j = d + -11. Which is bigger: j or 19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 51743357 from 0.1.\nAnswer: -51743356.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 45\/4 of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -71 + 73. Suppose c = h - v, -2*h = c - 0*h + 17. Let j(k) = 8*k**3 - 7*k**2 + 2*k + 2. Let o(b) = -7*b**3 + 6*b**2 - 2*b - 2. Give c*o(d) - 6*j(d).\nAnswer: d**3 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -6320000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18623*q**3 - 18624*q**3 - 18628*q**3 + 74513*q**3 + 14 - 18640*q**3 - 14.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 2677*h + 3517*h - 2728*h - 1 as l + s*h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that s**3\/3 + 554*s**2\/3 + 12945*s - 40506 = 0.\nAnswer: -471, -86, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*w - 7*w + 17*w + (1 - 3 + 1 + (-5 + 2 + 2)*(-4 + 5 - 3))*(16*w + 73*w - 28*w) in the form q + c*w and give c.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 49429981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20133 + -20135. What is the nearest to -3\/2 in 11, z, -0.6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**4 + 7*m**2 + 28. Let h(c) = c**4 - 8*c**2 - 28. Let i(x) = 4*h(x) + 5*k(x). Find the first derivative of i(s) wrt s.\nAnswer: -4*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 1.9.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -11*s + 67. Let m be (22\/(-33))\/(s\/18). Is (-5)\/((-20)\/1936) - 0 - m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, x: 3, s: 6, m: 4}. What is prob of sequence smx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 828 and 276?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.93*-3.\nAnswer: 2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 49519 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 0.16  (c) 2  (d) -114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 0, 2357.46?\nAnswer: 2357.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118031.\nAnswer: 17, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/9)\/(m*(m\/(m*m\/(m**3*m*m)))\/m*m*m*m)*m**(-8)\/m**(5\/2))\/(m**5*m**(1\/3)*(m\/(m*m**0\/m))\/m**(-2\/11)) assuming m is positive.\nAnswer: m**(-4711\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-456)\/(-190)*(-5)\/(-2). Solve -40 = -2*j - x*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39.564 + 35.564. Put 0.02, l, 84, -5 in descending order.\nAnswer: 84, 0.02, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7775 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (31 - 1 - (75 + -64)) + 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4*j + 3. Let y(h) = -h. Let n(a) = b(a) + 5*y(a). Give n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/1)\/(-3 + 1). What are the prime factors of (-1)\/(-4)*(g + 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13)\/((-130)\/(-100))*1 + (-484)\/(7 - 18).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*d**3 + 1 + 506*d + 3 - 517*d + 2 + 2 to the form a + q*d**2 + f*d**3 + c*d and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/5, 2, -2\/9, -0.5.\nAnswer: -6\/5, -0.5, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 608259751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/2)*j)**(-2\/75)\/(((j**7*j*j)\/j)\/(j*j**2*j)))\/((j**0)**(1\/16)*j\/j**(2\/3)*j\/(j**(-8)\/j)) assuming j is positive.\nAnswer: j**(-1078\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 4937 = 2*n, 197 = -4*r - 4*n + 4169. List the prime factors of r.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 61 = 3*m. Let a = 3 - 5. Let i be a + 2 + (2 - (-9 + 3)). Solve -3*y + i = m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/162360 and 79\/8.\nAnswer: 162360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*g + 12*g - 68*g - 474*g**2 - 25.\nAnswer: -474*g**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 16 + -11 - (-2 - -5) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1548 and 490802?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-136)\/952)\/((-1)\/6).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 5*b + 6. Let g = -7 - -12. What is l(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rhrhhrqhrhqqhqhrhhr. What is prob of sequence rrq?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -17*n - 1. Let k(x) = -71*x + 58. Let h(l) = -k(l) + 4*z(l). Calculate h(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1000 (base 5) to base 2\nAnswer: 1111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h*h\/(h\/(h\/h**2))*h))\/h**(-3\/7))\/(h**(-5\/6)\/h**(-1\/6)))**(-2) assuming h is positive.\nAnswer: h**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d + 189. Let h = 10 - 10. Let k be y(h). Let z = -12 - -39. Calculate the greatest common divisor of z and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 29 + -53 + (9 - -19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2467 - 0.502461\nAnswer: -2467.502461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-44)\/(10 - -1)*1\/(-2). Suppose -2*q + 3*b + y - 6 = 0, b - 16 = -3*q. Solve 0 = q*w + p + 10, p = 3*p + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 207105.27 seconds to minutes.\nAnswer: 3451.7545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a - 293. Let s(f) = -7 - 19 + 26 + f. Give s(p(k)).\nAnswer: 2*k - 293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 + 3*x**2 + x + 2. Let b(o) = -o**3 + 4*o**2 + o + 3. Calculate -2*b(l) + 3*q(l).\nAnswer: -l**3 + l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 897 is divided by 152.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -28, -2, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14241588 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -17.39. Let l = z - -1.39. Which is the third biggest value?  (a) l  (b) -0.5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-6))\/(102\/(-68))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 171977?\nAnswer: 13, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 1 + 0)*(8*n**2 + 4*n**2 + 2*n**2) - 2*n**2 - 3*n + 3*n + 111 - 113*n**2 - 59 - n - 53 + (1 - n**2 - 1)*(2 - 1 - 2) as a + g*n + s*n**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 + 15*c**2 - 2*c - 166. Let i be n(14). Solve -i*j - 12 = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10231 is divided by 753?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*s + 25*s + s**3 + 26*s.\nAnswer: s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 2 - d)*(-4 + 1 + 0) + 2*d + 3*d - 3*d)*(1 + 1 + d + 0*d + (d + d - 4*d)*(1 + 0 - 4)).\nAnswer: 35*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 823991640 to the nearest one hundred thousand.\nAnswer: 824000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/2 + 41167*n\/2 - 596501.\nAnswer: -(n - 41138)*(n - 29)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 507738562?\nAnswer: 2, 911, 278671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 54*y**2 - 54*y**2 + 2*y - 3*y**3. Let d be m(-2). Solve 0 = -o + 2*x + 9, -2*o + d = -4*x - x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -864 - -3?\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 4, 1, 28, -4, -29, -3 in decreasing order.\nAnswer: 28, 12, 4, 1, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 397907?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyyyyyxyy. Give prob of picking 1 y and 1 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5770.\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 638100 and 1740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14757469*b + 23328519 wrt b?\nAnswer: -14757469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 59\/133 - 3\/19. What is the closest to -2\/5 in 0.1, 0.03, p?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/180 and 167\/300?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 2*w - 3*a, 10*a = -240*w + 238*w - 50 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*s**4 + 1158*s**3 - 1520*s**2 + 504*s.\nAnswer: -2*s*(s - 63)*(3*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -9, 7, 49, 129, 259, 451?\n\"Answer: 2*w**3 + w**2 - w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 5*p + 5*p**2 - p**2 - 5*p**2 - 5 - p. Let b be j(5). Let w = b + 21. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1321, -745, 239, 1631?\n\"Answer: 204*u**2 - 36*u - 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q = 2*q + 791. Let l = q - -63. Let f(g) = g**3 + 6*g**2 - 6*g - 14. Let c be f(-6). What is the greatest common divisor of c and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence so when two letters picked without replacement from sozzlolzlslzosss?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42205333 (base 7) to base 14.\nAnswer: -68b28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -c**3\/3 + 5*c**2 + c - 11. Let n be d(9). Let p(r) = 0*r - 3*r**2 - 9 + n + 2*r**2 - r. Calculate p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 - 5*i**2 - 4*i + 8. Let h be m(6). What is the smallest common multiple of (h\/15)\/(2\/9) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1646188.\nAnswer: 2, 443, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -42 - -75. Suppose -3*k + 22 + 44 = 0. Calculate the greatest common factor of k and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -355 + 2*g + 353 - 7*g + 8*g**3 to the form m*g**3 + x*g**2 + o + r*g and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 20201 (base 3) in base 14?\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(176) + sqrt(99)\/(sqrt(9)*2) + ((sqrt(77)*4)\/sqrt(7) + sqrt(11))**2 + 4.\nAnswer: 9*sqrt(11)\/2 + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -831419*u**4 + 813188 with respect to u.\nAnswer: -3325676*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*o**5 - 3*o**2 - 7 + o**2 + 12 - 22*o**5 wrt o?\nAnswer: -1800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*u = 20*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/8 - (-5)\/(-2). Let b(s) = -2*s - 1 + 0*s + 0*s. Let h be b(g). Solve -9 = 4*u - 5*r, -h*u + 0*u - r + 17 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 264.\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i**(-2\/9))**2)**(1\/32))**(33\/2))**(9\/8) assuming i is positive.\nAnswer: i**(-33\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28 - -31. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1325405 >= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 967345 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06, 6\/167, 1 in decreasing order.\nAnswer: 1, 6\/167, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3189626587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -w**2\/6 + 12799*w\/3 + 882401\/2 = 0.\nAnswer: -103, 25701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 173*h**2. Let l(g) = -22*g + 9. Let w(k) = 5*k - 2. Let s(q) = -2*l(q) - 9*w(q). What is a(s(b))?\nAnswer: 173*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3610.656138 rounded to 1 decimal place?\nAnswer: 3610.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 120112122 (base 4) to base 8.\nAnswer: 302632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1647 and 92232.\nAnswer: 92232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 4*t**2. Let f(n) = 60*n + 31. Give d(f(l)).\nAnswer: 14400*l**2 + 14880*l + 3844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23.4 - -3.4. Let f = 31.6 + -11.9. Let h = n + f. What is the third biggest value in h, 0.1, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d**4 + 3682019 - 227*d**2 - 535*d**3 - 3682019 + d + 4*d**5 wrt d?\nAnswer: 240*d**2 + 48*d - 3210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o**3 - 10*o**2 + 16*o + 23. Let b be u(-6). Let c = 397.9 - 398. What is the closest to b in 3, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/((-45)\/(-24))*(-222)\/148. Put -0.1, x, 1, -1\/4 in decreasing order.\nAnswer: 1, -0.1, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-372 - -2)*1*(-7 - 7). Suppose -j = 4*x - 11*x. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 108448 and 384.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -17.5974*12.1\nAnswer: -212.92854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 572784, 1145557, 1718330?\nAnswer: 2291103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 3*r - 1. Let v be (1 - -1)*(0 - (-5 - -4)). Suppose 0 = -5*c + 2*b - 5, -2 + 4 = -v*c + 2*b. Let k(z) = -z. Calculate c*k(u) + m(u).\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5293574790?\nAnswer: 2, 3, 5, 7, 103, 244733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62493.\nAnswer: 3, 37, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 74.19903g?\nAnswer: 74199.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2138\/105 + -136\/7. Let a(q) be the first derivative of 0*q + 9\/10*q**4 - 1 - k*q**3 - 2\/5*q**2. Factor a(b).\nAnswer: 2*b*(b - 1)*(9*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1872749\/53 or 35336?\nAnswer: 1872749\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4676654 is divided by 294.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of m*z**2 - 2813731*m*z - 532062*z**2 - z wrt m.\nAnswer: z**2 - 2813731*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3279 is divided by 1145?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than 2\/139719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 10:48 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 38 = -2*c, 4*c - 3*c + 3*p = 29. Solve h - 32 = -5*a - 23, a - c = -4*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhpp when four letters picked without replacement from nnpnnnnnhhppnhnphhn?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 - -15.26. Let j = -2.74 - g. Let r = 11 - 16. Which is the third smallest value?  (a) r  (b) 0.2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*f)*(-3 - 5 + 23).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 469 - 465. Solve k*v - 3 = 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 31*w - 1 - 10 + 5 in the form o + u*w and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000254153 rounded to 6 dps?\nAnswer: -0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r**3 - 2*r - 1. Let y be d(-1). Let i be (-1)\/y + 3\/7. Suppose -3*l + q = -1, -5*l - 5*q + 0*q + 15 = 0. Do i and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-270)\/210 - (-994)\/49 - -7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a*a\/(a*a\/(a**(1\/5)*a))*a)*a*a*a**(-19)\/a)\/(a*a\/((a\/(a\/a**(-1\/17)))\/a)*a**(3\/7)*a*a) assuming a is positive.\nAnswer: a**(-14094\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -10*z**2 + 4*z + 6. Let y be k(-1). Let n(g) = g + 6. Determine n(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 334444 or 2341118\/7?\nAnswer: 334444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of 1\/2*m**3 + 0*m**2 - 3*m + 0. Let y(o) = 2*o. Calculate y(u(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 7, l: 1}. Give prob of sequence zlz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -5*h**2 - 2*h + 1. Let y(u) be the second derivative of 3*u**4\/4 + 2*u**3\/3 - u**2 + u. Calculate -7*l(z) - 4*y(z).\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2 - n + 15*n + 14*n**2 - 2 - 39 - n**3 - 6*n**2. Let q be c(9). Solve 0 = -2*m + 5*d + 15, m - 3*d = -d + q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 4:39 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.23  (b) 0.5  (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 6*y**3 - 4*y - 1. Let l(n) = -13*n**3 + 9*n + 2. Let s be (36\/(-27))\/(2\/(-27)). Suppose s = 26*k - 24*k. Calculate k*q(v) + 4*l(v).\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - 3*m - 1. Let c be t(4). Suppose a - 118 = -4*s, -c*a + 27 = 2*s - 37. Calculate the remainder when 85 is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + -3 - -4 - 1. Suppose -2*a + a + 3 = -4*v, -9 = v - j*a. Suppose 18\/5*f**2 + v + 32\/5*f**4 + 2\/5*f + 48\/5*f**3 = 0. Calculate f.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*u**3 + 5*u**3 + 32*u**3 + 3*u**3 - 17*u**3 + 17*u**3.\nAnswer: 84*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*y - 548 + 6290. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2296*f - 1137*f - 1134*f.\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 5*g - 270, -69 = -4*g - k + 140. Let c be 4\/(-18) + g\/(-135). Let m = -27\/20 - c. Put -2\/13, m, -0.1 in decreasing order.\nAnswer: -0.1, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 14) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 113872 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -14. Suppose 29 = 7*b + f. Suppose -b*g + g = -8. What is the remainder when 10 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 226, 438, 650, 862, 1074, 1286?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 1200 = 5*g, 4*g - 960 = 5*t - t. Suppose -g + 825 = 13*d. What is the greatest common factor of 18 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1041*y - 30481 + 6538 = 0 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -250 + 251. Are 2\/175 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwxwlllllwlwl. What is prob of sequence wwlx?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1947 in 0.4, -9, 2\/25?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-2) + (-3)\/2. Suppose w + 55 = 5*f. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) - sqrt(44)*1)*-4 + -3 + 1*sqrt(396) + (2 + -1 + sqrt(891))*-1 + 0.\nAnswer: -3*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of 263*i**7\/21 + 28*i**4\/3 - i**3\/2 + 10*i + 5. What is the third derivative of s(b) wrt b?\nAnswer: 31560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of 21*k**4\/4 + 2*k**3\/3 - 3*k**2\/2 - 2*k. Let o be r(2). Let d = 376 - o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4662001\/1948 - -25\/974. Let u = w - 431033\/180. Find the common denominator of 10\/3 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 0*f + 2 - f**2 + 3*f**3 + 5*f**3 - f**2 - 2*f. Let g(x) = -57*x**3 + 15*x**2 + 15*x - 15. Determine -4*g(q) - 30*r(q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*v**4 - 1567*v**3 - 35*v**2 - 9 wrt v?\nAnswer: -48*v - 9402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.92 - 0.08. Put 0.02, z, 0.2 in descending order.\nAnswer: 0.2, 0.02, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 6 = -3*r. Let q(u) = -u + 3. Let f(d) = -8*d + 18. Let s be (-12 - -10)*(-9)\/(-6). Let z(k) = s*f(k) + 21*q(k). What is z(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-2\/13)\/c)\/(c**0*c))\/(c**0*c)**(5\/6))\/((c*c**(-6)*c)\/c**(-1))**15 assuming c is positive.\nAnswer: c**(3277\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 + 2 - 351*a - 71*a - 125*a)*(a + a + a).\nAnswer: -3*a**3 - 1641*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 5 = -47. Let s = -9 + x. Let g(i) = i**2 - 4*i + 6. Calculate g(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -608 divided by 160907?\nAnswer: -608\/160907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*v**3 + 6*v**2 - 46*v - 9*v + 55*v + 198*v**3 wrt v?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/36 and -43\/92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1222 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 236614*b*i**5 - 574*b*i**2 + 370*b - 5*i**6 wrt i?\nAnswer: 14196840*b*i**2 - 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 71.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*f**3*k**3 - 94472*f**3*k**2 - 4*f**2*k + f**2 - 4*f*k**3 - 16*k**3 wrt f?\nAnswer: 72*k**3 - 566832*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 36 - 32. Suppose y*n = n + 6. Let c(w) = -w**2 - 2*w + 3. Determine c(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 20*x - 138. Let w be q(7). Let p = 18 + -17.7. What is the nearest to -1 in -6\/7, w, p?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in 0.2, -28\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 + 35?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -518, -3563, -11372, -26183, -50234, -85763?\n\"Answer: -373*p**3 - 144*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2383*n + 1126*n + 728*n.\nAnswer: -529*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -23798.55 + 6057903\nAnswer: 6034104.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -113, -498, -1305, -2534, -4185, -6258?\nAnswer: -8753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 42814*b + 1163728 wrt b?\nAnswer: 42814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = s - 8. Let v be (0 + -1)\/(1\/6). Let f = s + v. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/9  (b) -1  (c) 2027\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2712510 and 28.\nAnswer: 2712538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 481285 divided by 6?\nAnswer: 481285\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1186.69  (b) -2  (c) -13  (d) 2\/9  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of 1\/60*b**6 - 2 + 0*b - 11\/15*b**5 - b**2 + 0*b**3 + 121\/12*b**4. Let l(t) = 0. What is t?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*y**3 + 41*y**3 + 73*y**3.\nAnswer: 144*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i - 8. Let r be p(-6). Let q be -8*((-5)\/4 + r\/(-2)). Solve -4*f = 4*x + f - 37, -5*x + q*f = -5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30 (base 4) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 7169  (b) -0.4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -10179, -10191, -10217, -10263, -10335, -10439, -10581?\n\"Answer: -n**3 - n**2 - 2*n - 10175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3971 - -3975. Solve 2*x = -2*x + w*z, 2*z + 4 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the second derivative of 0*j**2 + 0*j**3 + 0 - 1\/4*j**4 + 1\/10*j**6 - j + 0*j**5. Find the third derivative of u(k) wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7.57 - -3.57. Which is the third smallest value?  (a) w  (b) -39  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 2) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -5\/52  (b) -2\/5  (c) -4\/7  (d) 4  (e) -3916  (f) 3  (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.036, 5 in increasing order.\nAnswer: 0.036, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22 + -414232.407.\nAnswer: -414210.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -4*i - 12, 12 = 3*w + w + 4*i. Suppose 2*y + w*y = 1245. Suppose -3*v + 6*v - y = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 540113661?\nAnswer: 3, 29, 199, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 421 = -240*q + 20341 for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-949)\/208 - (-3)\/24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1423.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n + n - 51 + 51 + 2*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)*2)**2 + (sqrt(3) - sqrt(6)\/(sqrt(2)*2)) + (-3 + sqrt(432) + (sqrt(432) - -1*sqrt(432)))**2*-5.\nAnswer: -19053 + 2161*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 154177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 803412, 3213864, 7231294, 12855708, 20087112, 28925512, 39370914, 51423324?\n\"Answer: n**3 + 803483*n**2 - 4*n - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.021?  (a) 0.5  (b) 0.2  (c) -0.1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5 + -7 + (-86)\/(-2). Suppose b + 41 = 2*a. Calculate the least common multiple of a and 11.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 + w. Let k(m) = 8*m**2 + m - 1. Give -2*i(o) + k(o).\nAnswer: 4*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-130)\/(-39)*36\/(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2538306891?\nAnswer: 3, 263, 1072373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-13)\/5 - 7\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 1 + 118600*u**2 - 7.\nAnswer: 118600*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -1, 7\/2, 0.2, -3\/2, 5.\nAnswer: -3\/2, -1, 0.2, 7\/2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0*(-2)\/(-6)*1. Suppose 5*w - 2*d - 31 = 0, 5*w + 4*d = 21 + 22. Let o(a) = -a**2 + 8*a - 5. Let k be o(w). Solve -h + 6 = -2*r - f, k*r + 6 = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 249 + -20. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 + 14*h**2 - 15*h + 5. Let q be u(-15). Let p(l) = 11*l**2 - 6*l + 11. What is the hundreds digit of p(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12540765 greater than -12540763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (27*(-656)\/(-84))\/(3\/14). Let t = -981 + p. Solve 4*h + 29 = -t*c, -2*c + 6 - 2 = -2*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - 41*d**2 - 33*d + 235. Give u(-40).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q and 1 f when four letters picked without replacement from qeqqqqqqqqqfqfqfff.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1987780 is divided by 273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -108*b**3*l*y + 5396*b**3 - 5*b**2*l**2 + 100*b*l**2*y wrt y.\nAnswer: -108*b**3*l + 100*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 2\/9, -0.2, 50?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (3 + -15) - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -17*c + 5100. What is l(316)?\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 1 - 7) + 12\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -45743379*y**5 + 24339831*y wrt y?\nAnswer: -914867580*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert b7e1d (base 16) to base 2.\nAnswer: 10110111111000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2007 a factor of 1732332015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y - 4*v + 19, 4*y + v + 1032 = 1021 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, x: 7, a: 2, j: 2}. What is prob of sequence xua?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2 - 48 - 41*a - 6*a**2 - 104 + 197*a.\nAnswer: -4*(a - 38)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-24)\/(-28))\/(3\/(-21)). Let x be ((-5)\/8*y)\/((-2)\/(-8)). Let l(b) = -b**2 + 18*b + 26. List the prime factors of l(x).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 20 = 0, 3*t - y = -6*y + 29. Let k = 24 + -21. Solve -k*u - 6 = t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210110222220 (base 3) in base 2?\nAnswer: 1100111001110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 13, z: 3}. Give prob of sequence zz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.1, 5, -1, 279\/8, 1 in descending order.\nAnswer: 279\/8, 5, 3, 1, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5776*y + y**3 - 11525*y - 2*y**2 + 5771*y - 496*y**5 - y**3 wrt y?\nAnswer: -29760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 978611.5l?\nAnswer: 978611500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1173.38 - 1143. Let y = -18 + -13. Let o = y + n. What is o rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 638 and 9387.\nAnswer: 5988906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0 + 1438*z**2 - 890*z**2 - 1065*z**2.\nAnswer: -517*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2369578169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23939, 23880, 23849, 23864, 23943, 24104, 24365, 24744?\nAnswer: 25259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 258 = -3*b + 4*z, 5*b - 432 = 4*z. Let c = b + -43. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 7. Suppose 0 = -b - v - 0 + 1, 2*b - 2*v - 22 = 0. Suppose d = i*d + b. What is the biggest value in 0, d, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(28)\/(sqrt(8)\/sqrt(2)) + 1 + (sqrt(392)\/(sqrt(8)*4))\/sqrt(7))*-6.\nAnswer: -15*sqrt(7)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -30904, -30862, -30788, -30670, -30496, -30254, -29932?\n\"Answer: 2*y**3 + 4*y**2 + 16*y - 30926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 4*k = k + 14, 0 = 3*y - 5*k - 2. Suppose 0 = -y*h + 2*h. Solve -t + 2*t = h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, a: 2, s: 1, o: 1}. What is prob of sequence xo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - n - 3*q + 6, -2*n + q - 6 = 0. Let w = n - -12. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12180 - -12182.2. Which is the closest to -0.1?  (a) 1\/2  (b) s  (c) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2103*y - 53. Let d(z) = 701*z - 16. Give -10*d(p) + 3*k(p).\nAnswer: -701*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -738 - -1955. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 46177633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 94116*p**4 + 2*p - 612525?\nAnswer: 376464*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 52*d - 4. Let s be (2\/(-4))\/(8\/(-96)). Suppose 156 + 78 = s*x. What is the remainder when f(3) is divided by x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 32\/6*24\/16. Let m = 9 - a. What is the greatest common factor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express d + d**3 - 1 - 9*d**3 - 7*d**3 in the form f*d + u + j*d**2 + w*d**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 4*c - 10, 5*p + 14 = 7*p + 2*c. Let d(t) = -p + 2 - t + 0. Let v(s) = -56*s**2. What is v(d(a))?\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/2 - 25\/(50\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -9, -0.13, -80, -2 in descending order.\nAnswer: -0.13, -2, -7, -9, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -19507022, -2 in increasing order.\nAnswer: -19507022, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) + -2*sqrt(200) + -4 - 2*(sqrt(200) + -1 + sqrt(200))) + 3*(sqrt(2) - sqrt(4)\/sqrt(2))*-2*1)**2.\nAnswer: 200*sqrt(2) + 5004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16.3 + -15. Let m = 5.3 + w. Let f = m - -24.84. Round f to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31*v**5 + 19839*v**4 - v**3 - 123570673*v**2?\nAnswer: 1860*v**2 + 476136*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 407970555?\nAnswer: 3, 5, 1013, 26849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 + 20*j**2 - 2*j - 12. Let r be w(-20). What is the smallest common multiple of (-7)\/21*0 - r\/(-1) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -504842 from -3167.738.\nAnswer: 501674.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 2*t**2\/15 + 1302*t\/5 + 780 = 0.\nAnswer: -1950, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 129875 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9015?\nAnswer: 3, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -2\/5, -7, -3, 1, 2\/25 in increasing order.\nAnswer: -7, -3, -2\/5, 2\/25, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 26\/39 - (-2)\/(-3). Suppose i = -2*u + 3*k + 379, -u + 4*k = k - 188. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 + 2*r - 52. What is the tens digit of y(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 441526 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*p - 123 = 177 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of -h**9\/60480 - h**8\/13440 + h**6\/1440 + h**5\/480 - h**4\/12 - 2*h**2. Let s(i) be the second derivative of f(i). Factor s(y).\nAnswer: -(y - 1)*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**39)\/(q*q**(8\/3))*(q**(-15\/2)*q)\/q*q**(-27\/5) assuming q is positive.\nAnswer: q**(-1637\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 24*x + 3. Let n(i) = 10*i + 1. Let j(f) = 8*n(f) - 3*s(f). Let l(o) = -o. Give j(r) + 6*l(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + 6*s + 0*s)*(3*s - 3*s - 2*s**3).\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 599615500 divided by 13310\nAnswer: 45050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f**2 - 45 + 20 - 44*f - 6 - 6*f**2. Let i be n(-14). Which is bigger: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28819 by 23.\nAnswer: -1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-50)\/20)\/(2\/(-4)). Suppose 1229 = -5*a + 2*f - p, -5*a - 1220 = 5*f. Find the common denominator of (-5)\/10 - a\/40 and -3\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/(sqrt(12)\/sqrt(3)) - sqrt(5))**2 - (sqrt(245) + 1 - sqrt(245)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11 + 10*z**3 - 11 + (5*z + z - 4*z)*(0*z + 0*z - 2*z)*(10 - 10 + 10*z).\nAnswer: -30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -203 + 876. Let v(f) = -28*f**2 - 10*f + 6. Let j be v(-4). Let i = j + q. What are the prime factors of i?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 78 - 74. Sort -3\/5, -2, a in descending order.\nAnswer: a, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-14) - (0 - 0). Let x = 409 - 2044\/5. Let y = 0 + 4. Which is the smallest value?  (a) y  (b) f  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2362056863 - -1?\nAnswer: 2362056864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -414 + 637. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 255 and 10370.\nAnswer: 31110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 68*g*z**4 + 11*g*z - g + 3842 wrt z.\nAnswer: 272*g*z**3 + 11*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 494*u + 8483. Give k(-18).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minus 5392?\nAnswer: -5381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvvvpxvpxpvppvvpv. Give prob of sequence vvpp.\nAnswer: 275\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.052179835 to 3 dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y + 59 = 279. Calculate the remainder when 151 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1888 divided by -32?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -52*y + 3. Let u(w) be the second derivative of 53*w**3\/6 - 2*w**2 - 10968*w. Determine -4*h(f) - 3*u(f).\nAnswer: 49*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/19032 and 67\/5368.\nAnswer: 209352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 619034.9m?\nAnswer: 619.0349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhccccchcccccczccccc. What is prob of picking 2 c and 1 z?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 8764048 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -219*z - 8. Is u(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -145 or -144?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13 and 0.582.\nAnswer: 7.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - t + 27 - 10.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17902 is divided by 398.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 196908*p**3 + 242*p**2 - 118*p?\nAnswer: 1181448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 134549 bigger than 134549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1379 - -9651\/7. Which is the nearest to 0?  (a) 1\/7  (b) x  (c) -0.03  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - 4*x - 4. Let f(m) = -m**2 - 3*m - 3. Let l(p) = 4*f(p) - 3*n(p). Let r(b) = 13*b. Calculate r(l(i)).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.36 - 0.209. What is m rounded to 2 decimal places?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d - 7. Let u = 16 + -24. Let p be c(u). Let s(b) = -b - 3 - p*b + 2. Calculate s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**3*i*i)**(-16)*i**(-2\/7)\/i*((i\/i**(3\/2))\/i)\/i assuming i is positive.\nAnswer: i**(-1173\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -983306*g**3 + 3*g**2 - 7213376.\nAnswer: -2949918*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/(sqrt(8) - (sqrt(8) - 6*-2*sqrt(8) - sqrt(8))) + 5*(sqrt(2) + (sqrt(4)\/sqrt(2))**2) + sqrt(2) + -2*sqrt(2)*2.\nAnswer: 21*sqrt(2)\/11 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 20 + 4 + -7 + 3. Suppose 3*f + 4*v = 26, 2*v + 0*v - 10 = 0. Solve -n = 7*a - f*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -6*d - 3. Let x(w) = 7*w + 3. Let m(h) = -3*k(h) - 2*x(h). Let l be m(-1). Calculate the common denominator of l\/(-10)*4\/(24\/(-795)) and -25\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 191506*w**2 + 21615?\nAnswer: 383012*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/5)\/i*i*i)\/(i**(2\/15)*i)*(i\/(i*i**2*i*i))\/i**(-4)*(i\/i**(-11)*i\/(i**(-3\/11)*i))**(2\/9) assuming i is positive.\nAnswer: i**(362\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7120237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21623 + 21623 + 6788*w to g + y*w and give y.\nAnswer: 6788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 5*a - 40 - 1616 = 0, -a + 8256 = 5*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 999135?\nAnswer: 3, 5, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6 + 11*d - 11*d - 9*d**2 wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -5*z + 1. Suppose g = -z*c + 160, 5*g + 120 = c + 2*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 163690272 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: Suppose 3*r - 2*i + 1 = 0, 0 = -5*r + 3*r - 2*i - 14. Suppose -3*f = w + 4, 5*w - 1 = -4*f + 1. Let n be (w\/15)\/(6\/15). Put 1, n, r in decreasing order.\nAnswer: 1, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2677 at most 50860\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.44, 1\/3, 0.2 in increasing order.\nAnswer: 0.2, 1\/3, 0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1371136 and 2912.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 452259931 is divided by 622?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005669 to four decimal places.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 50663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155368 is divided by 179.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -8*k + 507. Is m(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10019.\nAnswer: 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 132 - 73*d - 134 - 201*d**2 + 124*d wrt d.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -7*f**2 + 111*f - 604. Let b be i(7). Is -26 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 8 and -422.\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21377930 and 2494.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 554*u**2 - 533*u + 5. What is the units digit of f(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of -3\/2*b**2 + 0*b + 1\/2*b**4 + 0*b**3 - 2. Let x be (-4)\/(3 + 39\/(-9)). Let w(s) = -5*s**3 + 9*s. What is x*w(u) + 8*d(u)?\nAnswer: u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 405662329 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (317 - 346) + 19 + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10658.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -27*o - 4. Let i(b) = -47*b - 7. Let f(c) = -10*d(c) + 6*i(c). Calculate f(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 5, -4, -2\/485, -9?\nAnswer: -2\/485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -169 = 8*i - 21*i. What is the lowest common multiple of 72 and (-104)\/i + 71 - (1 - 2)?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 8 = -q + 3*q, 3*z - 9 = 3*q. Let m(k) = k + 1. Let s be m(z). Let o = 8 + -2. Solve -o*d = -s*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*54\/504*(-1456)\/66456\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1333521 (base 6) in base 3?\nAnswer: 10210111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*u + 34*u - 20*u - 28*u + 24*u.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2701606 is divided by 675379.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 + 12*i + 30. Let p be s(14). What is the common denominator of (-1)\/8*(-228)\/(-8) and (50\/(-75))\/(p + (-932)\/522)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 e when three letters picked without replacement from {o: 4, e: 1, j: 3, g: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away 0.255?\nAnswer: -3.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -52416924*y**4 - 123793670 wrt y?\nAnswer: -209667696*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -8, -200, -400, -614, -848, -1108, -1400, -1730?\n\"Answer: -k**3 + 2*k**2 - 191*k + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -g + 28, 10*g - 9*g = -6*m + 33. Solve 4*z - 41 = m*n, n - 3*z - 7 = -24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 9584, 9567, 9540, 9497, 9432, 9339, 9212?\n\"Answer: -k**3 + k**2 - 13*k + 9597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(448)*2)**2.\nAnswer: 28672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u - 3. Let s be r(-2). Let h be (-5)\/s*(-1 - 1). Let m = 20 + h. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2990714 divided by -7087\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (24\/32)\/(15\/326020) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (207\/18 - 9) + (-3)\/2. Let t(u) = -12*u**3 + 2*u**2 - 2. Determine t(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(2299) + 1).\nAnswer: -66*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -153 + 154. What is the nearest to k in -7, -2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/20 + (-6732)\/(-80). Let r = -84 + a. Find w, given that -r - 8\/5*w**3 - 12\/5*w**2 - 2\/5*w**4 - 8\/5*w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 79 - 84. Let w = 9559\/19 + -503. Which is the second smallest value?  (a) m  (b) w  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 159639 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25280 - 57360. What is r rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2117.\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -2, 560, 0, -160 in descending order.\nAnswer: 560, 12, 0, -2, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4344)\/1064 + (-154)\/(-11) + -9 + (-2)\/7?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000017008050657 to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(200) + 5*-2*sqrt(200) - sqrt(200)))**2.\nAnswer: -400*sqrt(2) + 20004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1723187 (base 9) to base 16\nAnswer: ea6fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -409 - 23 = -8*g. Suppose 0 = 8*p - 5*p - g. What is the least common multiple of 12 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0.4, -2\/3215, -103 in ascending order.\nAnswer: -103, -2\/3215, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2456943 to the power of 1\/2, to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 2*v + 144, 2*g = g + 4*v + 154. Suppose 0 = -4*i + 106 + g. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 284436 - 11358 = 0. What are the prime factors of z?\nAnswer: 3, 16433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22.66192 - 0.02808. Let j = 22 + z. Which is smaller: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7935)\/(-4761)*((-27)\/5 - (-3 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*g*h**2*i - g*h*i**3 + 149*g*h*i**2 + 8*g*i**3 - 2*g*i - 16*h**2*i**3 wrt i?\nAnswer: -6*g*h + 48*g - 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of -2 + 0*i**2 + 2\/3*i**3 - 1\/60*i**5 + 0*i + 0*i**4 - 1\/180*i**6. Let y(x) be the third derivative of w(x). What is y(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2802*t - 16581. Give f(-6).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 66\/8 + 3\/(-12). Let i be 3\/(-4) - (-6)\/o. Suppose 3*j - v - 23 = 0, i = -4*j - v - 2*v + 9. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -3\/4, 2\/19, 0.0193, -51.\nAnswer: -51, -3\/4, 0.0193, 2\/19, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1538947168069.5 + 0.08\nAnswer: 1538947168069.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = -5*k + 3*c, -26 = 4*k - 11158*c + 11161*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 1. Let d(s) = s + 10. Calculate d(o) + 3*r(o).\nAnswer: o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 130 and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*l = 3*r - 142, 5*l + r - 288 = -244 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 207*d + 5481 wrt d.\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -3*p**3 + 143*p**2 - 4*p - 4. Let k(w) = 4*w**3 - 143*w**2 + 5*w + 5. Determine 5*b(o) + 4*k(o).\nAnswer: o**3 + 143*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((-24)\/(-9))*40530\/(-8685)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/10*24570\/(-78)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 574514009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1548067361*k + 1548067361*k + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -1755.\nAnswer: -877.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4086*m + 4086*m + 2*t = -30, 26*t - 44 = m + 29*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does -125\/4162398 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32493, 32495, 32497, 32499, 32501, 32503?\nAnswer: 32505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 + 52*o**2 - 18*o + 79. What is the thousands digit of m(51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-52))\/(9252\/123360).\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -88607629177 + 0.2\nAnswer: -88607629176.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -1938*b + 23. Let l = 60 + -62. Is p(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3 + 13150088*p**2.\nAnswer: 2*p**2*(p + 6575044)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123*s + 203259 = 549525 + 848433. Calculate the highest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -2*x**2 + 0*x - 4 + 8*x + x**2 - 2. Let u be y(5). Solve 3*a + u + 3 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 0.4  (b) -6  (c) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 - 21*f + 23. Let w be k(20). Let u(z) = z**2. Let b(p) = -2*p**3 - 2. Determine w*u(d) - b(d).\nAnswer: 2*d**3 + 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*j**3 + j + 43*j**3 + 10*j**3 + 14*j**3.\nAnswer: 94*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (65 + 7) - (1144 - 1151)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27.124857 months to years.\nAnswer: 2.26040475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/8889875 and -49\/32003550.\nAnswer: 160017750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17907 = 1212*t - 7276 + 29365 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 6 + 3*y - 11 + 10.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20 - 1) + 41 + -125 + 61.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) 4  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 704*i + 10694 = 134 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.25 + 1.4. Let p = y + -2.15. Let v be 8\/45 + 2\/(-5). Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 2*s + 4*k = 106, 2*k = 4*s - 64. Suppose -n + 5*w = 17, n - 4*w = -3*w + 3. Calculate the least common multiple of n and ((-3)\/(9\/(-2)))\/(s\/162).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1970*z - 8888*z = -7674 - 220344 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1450736605?\nAnswer: 5, 31, 2621, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3274 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 c, and 2 p when four letters picked without replacement from pvbkpbppbupuupvvc?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 6:47 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1789*k - 2509 = 1742*k - 93 + 639 for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 0.24424\nAnswer: 0.15576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 2*q + 8 + 9, -5*q - 5 = 0. Solve 2*t - 11 = -5*w, -b*t + 12 = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 216621980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 26 and 54?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -155*n**2 - 154*n**2 - 3*n**3 + 2*n**3 + 17 + 303*n**2. Give y(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - ((-3 - 0) + 2). Suppose 5*v - s*v = 132. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20608)\/132864 + (5\/40)\/(2*9\/24).\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1541)\/(-9) + (-10)\/45. Let u be (-12)\/9*a\/(-6). Suppose r + u = 2*r - 4*l, -l + 190 = 5*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44957?\nAnswer: 11, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + 16. What is the highest common divisor of 184 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k - 1. Let o be z(-1). Let l = 72 + -36. Let r = l + -29. Solve g + 16 = b - 6*b, -g - 2*b - r = o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q = 14*q + 9. Suppose -b = 2*k - q, 3*k + 6*b = 3*b + 15. Solve j - 6*j - 11 = 3*f, -k*f = -j + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2*k + 4)*(0 + 0 + k) - k**2 + 9*k**2 + 2*k**2 + (2*k - 2*k + 5*k)*(6*k + k - 3*k - 3 + 2*k + 3 + (0 + 1 - 2)*(-k - 2*k + k) + 2*k - k - 2*k).\nAnswer: 47*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 762 - 770 = 4*k + 2*m, -k - 7 = -2*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 5. Suppose -6 + 0 = x*h. Is 223 - (2\/h - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 8. Let r = o - -1.03. What is r rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 + 4*i**2 + 4*i + 1. Suppose 0 = h + 4*t + 11, 2*t + 7 = 3*h - 4*h. Give o(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7418 is divided by 301.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (0 + -4*sqrt(720) - (sqrt(5) + -1 + 0 - sqrt(180)*-1)**2).\nAnswer: -251 - 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 613413 = 14648*a - 485187 for a.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 186791, 373578, 560365, 747152?\nAnswer: 933939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001548860441 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-2) - 2\/((-4)\/445) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3051792?\nAnswer: 2, 3, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 8 - 3 + 4*p - 12*p + 7*p. Let g(c) = 5*c - 15. Let i be g(5). Let v be f(i). Let t(a) = -a**2 - 2*a + 4. Determine t(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 times 1093113?\nAnswer: -655867.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5183288 (base 9) in base 11?\nAnswer: 1623027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + 26*d**2 - 283*d - 49. Determine u(-34).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**0*n)\/n)**(-36)*n**(1\/7)*n**(-3)*n assuming n is positive.\nAnswer: n**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -17*a**2. Let i(c) be the third derivative of 0*c**3 + 0 + 0*c - 1\/20*c**5 - 6*c**2 + 0*c**4. What is i(d(s))?\nAnswer: -867*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 9:34 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1981 and 17263?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 - 0) + 8 + -2 - 1. Suppose -r*o + 81 = o. Suppose 7*z + o = -1. Which is the third biggest value?  (a) z  (b) 0.1  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d9c97 (base 16) in base 15?\nAnswer: -285006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 14 + 3 + 4 - 2*p. Let n be y(8). Solve v - n = -2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 1 - 2)*(-5 + 2*f + f - f - f) as u*f + v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/(-180)*3\/(42\/7).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002014 to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 8 + 2. Solve 4*f - 2*r - 4 = 0, -4*f + u*r - 8 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24214 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*k + 143 = -5*k - 27*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - -8)\/(-8 - -9). Let a be (4\/n)\/((-2)\/(-4)). Solve -5*p + 6 - a = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*h + 14*h - 34*h + 11*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 + 2 + 0)*(-2 - 2 + 2) + 423 - 289 - 272 + 2 - 8 - 1)*(-4 + 5 - 2)*(-4 - u + 4)*(-u - 2*u**2 + u) as f*u + c*u**2 + l*u**3 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6927 - -1738. Let h = -3335 - s. Round h to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -2\/3  (c) 5100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/2  (b) 2\/3  (c) 6\/5  (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 619, 895, 1171, 1447?\n\"Answer: 276*a + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-21 + 25 + b**2 - 2*b + 12*b**2)*((-3 + 3 + b)*(-1 + 4 - 1) + b + 4*b - 4*b) in the form g*b**3 + t*b**2 + f + x*b and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + 25 + (-33 - 28).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 34 + 65 - 112 + 46 - 2*o in the form h*o + p and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -11*c. Let z(m) = -2*m**2 - 13*m + 13. Let k(d) be the first derivative of -d**2\/2 + d - 142. Let g(a) = -78*k(a) + 6*z(a). Calculate g(t(r)).\nAnswer: -1452*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*c + 3*c = 0. Suppose a + w = 2, -a = -5*w + 4 - c. What is the least common multiple of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000045279 to seven decimal places.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 7:33 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aia when three letters picked without replacement from {i: 11, a: 5}.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -l - 0*l + 5*j, -3*l = -j - 4. Solve -2*t + l = -5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(3\/5)*l)\/(l**(-8)\/l))**(-37) assuming l is positive.\nAnswer: l**(-1961\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -100 + 100. Which is greater: b or -1\/14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 6*g + 42 = 0. Suppose -5*u = 283 - 588. Calculate the remainder when u is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xnnfu. What is prob of sequence nufx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 + 5*v**2 + 5. Let n be o(4). Let f = n + -30. Let d(j) = -2*j + 10. Let a be d(8). Is a greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 6*q - 18 = q, -2*q = 2*a - 10. Suppose 9*n = -1 - 8. Put a, n, -4 in descending order.\nAnswer: a, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w + 15. Calculate l(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -105 + 273 + 9*j + 225. List the prime factors of y(0).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - 4*d**2 - 2*d - 1. Let i be g(-3). Let z be -6 + (-4 - 80\/(-8)) - 5. Sort z, -1, i, -2 in decreasing order.\nAnswer: -1, -2, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/114 and 31\/201.\nAnswer: 7638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 40 + 14?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - (-1199)\/132)*-20 + (-3774)\/(-2286)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 21.68  (c) 4.9  (d) 1\/8  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-10) + 2608\/(-1630) + (-21)\/(-10). Factor -15*v - 6*v**2 + 0 - g*v**3.\nAnswer: -3*v*(v + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4\/1129 + -114093\/18064. Let z = -52662 - -420737\/8. Let q = -145\/2 - z. What is the common denominator of x and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1127*n - 1113*n - 2 - 7 - 7 + 4.\nAnswer: 14*n - 12","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 196310533.\nAnswer: 8111, 24203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 175496469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2928*w - 69429 - 79135 - 91532 for w.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 - -194. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 1151, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*k + 3*k - k)*(0*k - 3*k + 5*k)*(-8*k + 255 - 501 + 273) as v*k**2 + u*k**3 + b + o*k and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*c = -5*f - 5, 4 - 6 = 28*f - 74*f + 48*f + 5*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -31*q**3\/6 + 3473*q**2\/6 - 54860*q\/3 + 112216.\nAnswer: -(q - 52)**2*(31*q - 249)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 - 2*l. Let m(s) = s**2. Let w(q) = -3*m(q) - 4*y(q). What is w(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 - 21*v**2 - 17*v + 8. Calculate z(-20).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (68\/(-51))\/((50\/(-15))\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(2\/3))**(10\/3)*(l**0\/l)**46)**(-3\/17))**(-3\/31) assuming l is positive.\nAnswer: l**(-394\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -4*i**3\/3 - 12. Let h(l) be the second derivative of l**4\/2 + 32*l. Give h(g(m)).\nAnswer: 96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -605960 divided by 302980.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 84 - 80. Which is the closest to 0?  (a) p  (b) -1\/19  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -134 - -134.4. Let y = -0.127 + 0.027. Which is the third biggest value?  (a) -5  (b) m  (c) y  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -219 = 4*i - l, 6*l = -i + 3*l - 58. Is (-6)\/3 - i - 2\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9011914921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 117899419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06407 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 54 + -51. Solve 7 - c = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -2\/5, -2\/157, -4 in descending order.\nAnswer: -2\/157, -2\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.03, 1, 0.18, 27\/17?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.212 to 1 decimal place.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 40952 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196 = 6*c - 4*c. Let r(i) = i**3 + 16*i**2 + 20*i + 8. Let n be r(-15). Let y = n + c. Calculate the remainder when 89 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6 + 4)*42\/12. Which is smaller: -160\/19 or d?\nAnswer: -160\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 753608 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 12*y + 3)*(-32 + 32 - 3*y**3) + (2*y - y + 0*y)*(5*y**3 + y**3 - 3*y**3).\nAnswer: 39*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 172 + -172.5. Which is the nearest to 1?  (a) -0.06  (b) -0.3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 2511358?\nAnswer: 2511358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = 2*v + 3*s - 8, -5*v + s + 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 AM and 10:19 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 6*x**2 + x - 5. Let s(o) = o - 5 + 5*o**2 + 9 - 5 - 3. Suppose 2*g = -0*g - 8. What is g*q(u) + 5*s(u)?\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 22*w**3 - 3*w**2 + 16*w**3 + 6*w**3 + 2*w**4 as o*w**2 + i*w**4 + d + t*w**3 + c*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of r**6\/30 - 7*r**4\/24 + 5*r**2. Find the second derivative of v(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.329433 rounded to three dps?\nAnswer: 0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 27*w - 14. Let m be q(9). Let j(d) = 229 + 5*d - m. Let z(o) = o**2. Determine z(j(g)).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 275*o - 65*o - 65*o - 66*o - 71*o. Let x(s) = 492*s. Calculate h(x(v)).\nAnswer: 3936*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13)\/18 - 20\/(-90))*-22 - -22.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2. Let q(r) = 563*r**2 + 565. Let x(s) = -q(s) + 5*u(s). What is the first derivative of x(p) wrt p?\nAnswer: -1126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, -333, -5 in descending order.\nAnswer: -5, -24, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 6*a**2 + 5*a + 2. Let f be m(-5). Let z be 219\/414 + (-1)\/f. Let q = z - -19\/138. What is the nearest to -1 in q, 4, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-1 + sqrt(176))**2 - (sqrt(539) + 0 + -1)**2)*-2.\nAnswer: -12*sqrt(11) + 728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4148 (base 9) to base 15\nAnswer: -d7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k**3 - 9*k**2 - 9*k - 7. Let s be a(-6). Suppose -49 = -v + 3*i, v - s = -2*v + 5*i. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**7\/b)**(1\/32) assuming b is positive.\nAnswer: b**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1329871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -232 - -238. Suppose p - 4*d + i*d = 391, -4*d - 766 = -2*p. What are the prime factors of p?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 4 - 3)*(-2 + 1 + 3) - 3 - 2 + 3 - 1 - 2 + 5 + (0 + 3 - 1)*(0 + 0 - 1))*(-8 + 8 + 2*j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + -9.9977. Round s to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 6. Let t be (6000\/(-1480))\/(-25)*37. Solve -16 = -k + 5*f, k = t*k - w*f + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1128 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2445?\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-18))\/(2\/24*(-896)\/64)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -363400, -363383, -363340, -363259, -363128?\nAnswer: -362935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.04?  (a) 7  (b) -1  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -37831\/4?\nAnswer: -37831\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -41735 - 4?\nAnswer: -41739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 2*t + 10. Let p(f) = 4*f**2 + 9*f + 30. Let s(l) = -7*d(l) + 2*p(l). Calculate s(-9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*(13\/(-2) + -4). What is the remainder when 111 is divided by (-1)\/(-3) + 581\/c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - -5. Suppose -2 + 12 = 2*a. Suppose -2*d - 9 = -w - 4, 2*d = -a*w + 13. Solve -8 = w*s - 2*h, h - m*h + 13 = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 33 + -37. Let u = -34.943 + 35. Let t = -8.943 - u. Sort 5, 4, t, a in descending order.\nAnswer: 5, 4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 9*n - 18. Factor 56*h - 52 - 44*h**2 + 87*h**n - 47*h**2.\nAnswer: -4*(h - 13)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 135\/(-315)*14\/(-108). Sort -1, 1\/4, j, -0.1.\nAnswer: -1, -0.1, j, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -22*i + 5 - 6 + 21*i + 2 - i**3 + 2*i**2. Determine a(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1407 = -2*j + 5*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 4:50 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15057 = 4*d + 2*u + 3*u, 5*d - u - 18814 = 0. Let i be (-4)\/8*22 + -1917. Let z = i + d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*p - 52*p + 462 = 0. Solve 0*d - 5*z = -d + 5, -d - z = p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 76\/297 and -167\/330.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-12250)\/15 - 0)*12. What is q rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 319*u**3*z - 58*u**2*z + 5*z wrt u?\nAnswer: 1914*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {x: 4, o: 1, i: 1, w: 1, d: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -57 + -5?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o - 4*o = -3*l + 12, -2*l + 2*o = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (-5 - -5)) + 17 - 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 424668 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 2 g, and 1 p when four letters picked without replacement from {w: 1, h: 6, c: 2, g: 2, r: 1, p: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 AM and 6:37 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 81381614*p**4 - 5*p**2 + 2813119*p wrt p.\nAnswer: 1953158736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 + 4*q - 2. Let z(s) be the first derivative of -s**3 - 4*s**2 + 5*s - 4. Let a(k) = -5*b(k) - 2*z(k). Find the second derivative of a(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 + 9*b + 11. Suppose -3*w + 42 = 3*z, -4*z + w = -0*w - 31. What is v(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*g - 128*g + 60*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.25  (b) 14  (c) 2\/9  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 13*m**2 + m. Let f be x(-2). What are the prime factors of (-2)\/6 - f\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 74\/7084197 and -85\/5756?\nAnswer: 28336788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1608, 1165, 426, -609, -1940?\n\"Answer: -148*u**2 + u + 1755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1.17  (b) 0.1  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 56 + -50. Suppose -p*r + 1 = -5. Differentiate -r - 367*x + 7*x**3 + 367*x with respect to x.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -32, -127, -284, -503?\n\"Answer: -31*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.02 + -0.28. Is -0.3 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*v - 7*v. Let b be 10\/(-4)*(-18)\/(-15). What is the common denominator of v and (-4)\/(-6)*(-2)\/b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 232\/(-24) - (-2)\/3. Let l be (8\/6)\/((-6)\/q). Suppose 2*o - l = -4*w, 0*w = 2*w - 5*o + 5. Solve w = k - 4*x + 5, 5*k + 6 + 2 = 3*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (180\/225)\/(1\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 6:18 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.727 * 0.14.\nAnswer: -0.10178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 579971851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 3. Let i = 2 - k. Is 2 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -1 + 2 - 771025*f + 0. Let c be s(-2). Let z = 2212051 - c. Round z to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*(-30)\/12*-1. Suppose 12685 = 2*u - t*v, -4*u + 3*v + 25388 = -v. Suppose u - 2464 = 2*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/561*-11*(2\/(-6))\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.02 - 0.02. Let x be 4775\/175 + (-58)\/203. What is the closest to 0.1 in 0.1, x, 5, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 + 0*k**2 - 7 - 192 + 17*k**2 + 212.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of -p**7\/3 - 13*p**4\/12 + 13*p. Find the third derivative of m(s) wrt s.\nAnswer: -840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 4*g**2 - 117*g + 782. What is i(18)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssssbddsbbbosssppb. What is prob of picking 1 s and 2 b?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 9:11 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (2 + 5 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -7087 > -7086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*k - 13*k + 112 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 x, and 2 s when four letters picked without replacement from {n: 1, f: 7, e: 4, x: 2, s: 3}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -0.15  (b) 87  (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 0*h - 4. Let k be h*(-2 + (2 - 0)). What is the closest to k in -1\/4, -2\/11, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/5 < 7679265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 39934 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a + 1. Let o be w(-1). Let u(k) = -2*k**3 + 9*k**2 + 4*k + 6. Let h be u(5). Factor o - 6*m**3 - 2*m - h - 5*m**2 + 10*m - 5*m.\nAnswer: -(m + 1)*(2*m + 1)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 7*l. Let q(p) = 2*p + 167. Determine m(q(a)).\nAnswer: 14*a + 1169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 4*i + 996 = 0, -245 - 12 = -n - 3*i. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-34)\/4*(-34)\/17. Let s(k) = 6*k**2 + 2*k - 2. Let p be s(-2). Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3971255239.\nAnswer: 7, 43, 13193539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 divided by 4?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -4. Let t = -173 - -173. Which is the nearest to n?  (a) t  (b) -2  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 43*r - 88*r + 55*r + 11 - 2*r**2 to the form p*r + o + d*r**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 5671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126914356.\nAnswer: 2, 89, 356501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-114)\/38)\/(((-3)\/6)\/(-1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/(-2))\/(3\/6). Suppose -1 + i = n. Suppose 3*b + 5*x = 22, 0 = -3*b - n*x - 0*x + 7. Let q(l) = 4*l**2 + 1. Calculate q(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4154161 is divided by 630?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2021 - -2021.2978. Let n = 2.266 - 1.976. Let o = w - n. What is o rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 638824 is divided by 127762?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b = -5*b + 4*z - 15, -4*b + 9 = z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -23913 equal to -23914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/4 + 33*o\/2 - 65\/4.\nAnswer: -(o - 65)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*n + p + 425 - 1083 - 900, 2*n + 2*p = -124 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -3*p + 378, 5*p + 0*p - 5*a - 625 = 0. Does 60 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1415 * 0.046.\nAnswer: -65.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 1366 - 12566 = 0. What is c rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.7 and -178.\nAnswer: -124.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -128*l + 137*l + 77*l + l**2 - 3*l**2 to the form s*l + i + y*l**2 and give s.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = 2*s + 10*b - 152, 0 = 5*s + 3*b - 366. Let h = s - 60. What is the remainder when 3\/h + (-1074)\/(-24) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1153310, -1153287, -1153248, -1153187, -1153098, -1152975?\n\"Answer: x**3 + 2*x**2 + 10*x - 1153323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00006209415 to six decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 6. Suppose -3*a = -4*z + 28, 19 - s = z + a. Calculate the least common multiple of 2 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 4*w + 1. Let b be r(-1). Let u be (-3)\/b + 5 + -1. Suppose 76 = u*v + 2*t - 34, 0 = t. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-4)*(-112)\/14. Let f(o) = o**3 + 3*o**2 - 6*o - 6. Let a be f(l). Solve -p - a = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 24376 or 309?\nAnswer: 24376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 12:13 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**4)\/m**(2\/19)*(m**0)**26)\/((m**(-2\/3))**17\/(m\/m**0)**2) assuming m is positive.\nAnswer: m**(583\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/56)\/(3\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of 0*d - 183 + 44\/7*d**2 - 4\/21*d**3. What is j in s(j) = 0?\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 127956469 to the nearest integer?\nAnswer: 11312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 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: Collect the terms in o**2 - 2878*o + 5749*o - 2871*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*h = 12, 4*h + 58 = 66. Suppose 0 = -m - 0*m + 5*w + 22, -5*w - 20 = 0. Suppose 4*k + m*v - 12 = v, 0 = 4*k + 2*v - 8. Solve -k*a - x = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 - v + 4. Let u be j(-3). Let r be 203\/(-7)*2\/u. Let l = 27 + r. Calculate the remainder when l is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 92 + 80. Let x be (38 - f)\/(-1*1). Solve l - r - 9 = -2*l, -3*l = x*r - 27 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 72513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 + 3 = -c - 5*s, -3*c = -5*s + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -374859\/122038 + 2\/8717. Let i be -8*((-567)\/2)\/(-7). Find the common denominator of -2 + (i\/56)\/(-3) and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 55*y - 1. Let o be b(1). Let k be (4 + 95\/(-20))*-180. Calculate the greatest common divisor of k and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*u**2 - 2*u**5 - u**5 + u**5 + (-u**2 - 3*u**2 + 3*u**2)*(u**3 + 4*u**3 - 4*u**3).\nAnswer: -3*u**5 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 17f - 56?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 8 = -4*q - 0*q, -4*b + 5*q = -6. Differentiate -3 + 4*v - 5*v - 3*v**b + v with respect to v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssssshss. Give prob of picking 2 s.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 3*y**2 - 448*y - 904. Let v be o(-2). Let d = -7002 + 483146\/69. Let j = d - -2\/115. What is the nearest to -3\/11 in j, 5, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 + 4*f + 2. Let z be x(-4). What is the remainder when 13 is divided by ((-21)\/6)\/(z\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of 0*v - 3\/7*v**3 - 2\/105*v**5 + 27*v**2 + 13\/84*v**4 + 0. Solve k(r) = 0 for r.\nAnswer: 1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1821\/132301 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.7358653286 and -176.\nAnswer: -176.7358653286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3033 a factor of 4588410357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-9)\/((-42078)\/(-126396) - 18\/54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 3*c)*(c - 10*c - 3*c + (-2*c + c + 0*c)*(-1 - 3 + 2)).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**2 - 4*p + 7. Let h be k(-5). Let t(i) = i**2 + 2*i. Let x be t(h). Let y = x - -22. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -206?  (a) 4\/5  (b) 1\/4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 bigger than 10218\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = c - 4*m, -3*c - c + 96 = 4*m. What is the remainder when (-18603)\/(-156) - (-5)\/(-4) is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7128641\/372 + 19163. Let n = 399604829 - 743265002933\/1860. Let z = o + n. What is the common denominator of 59\/6 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-4)\/t*t*t**(-2\/3))\/(t**(1\/4))**(-1\/58))**(-9) assuming t is positive.\nAnswer: t**(9735\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 544 = -120. What is the second derivative of -2*n**2 + 253*n + 2*n**2 - 263*n - 4 + f*n**3 wrt n?\nAnswer: 636*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 + 8\/(-6)*-3. Let s = 2 - o. Let h be 12\/(-16) - (-287997)\/s. Round h to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538890 rounded to the nearest 1000?\nAnswer: 539000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3044 (base 7) to base 9\nAnswer: -1408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -5.9. Let y(u) = -u**2 - 29*u - 1. Let p be y(-19). Suppose 0 = 3*q + p + 12. Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 6:13 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r - 2*r + r)*(-2 + 4 - 3)*(-4 + 4 + 6).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196 = -4*m - 8*u - 212, 3*m - 2*u = 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s**2 - 135*s + 10900. What is h(-115)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((15\/110)\/1)\/((-14)\/(-28)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 + 12. Suppose -c*w - 5*g - 325 = 0, 0*w + 4*w = -g - 266. Let l = w + 150. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1254 + -930. What is the second derivative of -58*h - 4 + 6*h - t*h**3 + 85*h**4 + 325*h**3 wrt h?\nAnswer: 1020*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.2 - 104.8. Let s = -104 - m. What is the fourth smallest value in 0.3, s, 0, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -186 + 6*q + 8*q - 10*q**2 - 3*q + 369 - 184 in the form d*q + l + u*q**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10860931387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 171.0375926 to the nearest integer.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16417?\nAnswer: 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from ezzqzezzzqezee.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (220\/((-594)\/27))\/((-4)\/(-8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -429, -432, -435, -438, -441?\n\"Answer: -3*m - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(800) + sqrt(50)) + 2*sqrt(6050) + sqrt(6050) + sqrt(6050))\/(-2*sqrt(90)*2).\nAnswer: -7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.23, -3, -19, 2 in decreasing order.\nAnswer: 2, 0.23, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 5*k**2 - 4*k + 24. Let f be c(-10). Let i = 1087 + f. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 143 + -216. Let t = n + 19. Let f = 6 - t. What is the greatest common divisor of 24 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 12. Solve 12 = 3*i, d*i + 0*i = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*r = -i, 4*i = 5*r - 2. Suppose -r*m + 5 = -k - 12, 0 = -2*m + 4*k + 8. Suppose -42 + m = -b. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.934 less than -10?\nAnswer: -9.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -1.287?\nAnswer: 0.1287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10*(5 + -2)*2\/(-6). What is the least common multiple of (3006\/(-15))\/(-6) - (-4)\/m and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14027 (base 12) to base 9\nAnswer: 41864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 5*j + 16 = -3*s, 5*s - 36 = -3*j. Suppose 2*r + 56 = s*r. Calculate the remainder when 54 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 5*k + 2*g + 10, 5*g = -4*k - 52 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**3 - 3506*f**2 - 65928*f - 62424 = 0. What is f?\nAnswer: -1734, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 times -2.5872\nAnswer: 0.155232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 39240*x - 2289. Let c(w) = 17*w - 1. Determine 6867*c(k) - 3*j(k).\nAnswer: -981*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 189012395 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 7273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g**3 + 2*g**3 + 561 - 619 + 145*g**2 - 145*g**2.\nAnswer: g**3 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 433c (base 13) to base 4\nAnswer: 2102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70009431.\nAnswer: 3, 353, 66109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 3)*(-5*u + 4*u + 11*u)*(0*u**3 + 0*u**3 - 2*u**3).\nAnswer: -60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -3*q + 1. Let b(p) = 30*p + 15. Let x(n) = b(n) + 3*g(n). What is the tens digit of x(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 157674849 and -81479.\nAnswer: 157593370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0938 plus 0.16?\nAnswer: 0.2538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -91830 divided by 9183\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qbq when three letters picked without replacement from vfqbeeqvl.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 91\/4 of a tonne?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54635\/(-3122)*(0 - 8\/(-14)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00104108 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67 and 25839421.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -265 - 269 - 18*l + 57*l + 534.\nAnswer: 39*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**11*n**(-2\/7))\/((n*n**(4\/3))\/n*n**(-13)))**(-6\/11) assuming n is positive.\nAnswer: n**(-940\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 206 - 190. Suppose m*q - 42 = -6*q. Which is smaller: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 - 9*p**2 - 8*p. Let h(x) = 4*x**2 + 4*x. Let o(y) = -9*h(y) - 4*q(y). Factor o(l).\nAnswer: 4*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -34.3 + 30.67. Let m = g - 0.37. Which is the closest to -1?  (a) 3  (b) 0  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, x: 7}. Give prob of picking 3 x.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -110014?\nAnswer: 110024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 29133*q*v**4 - 34971*q*v**2*w + q*v**2 + 26*v**6 - 5*v**3*w + 252*v*w wrt v?\nAnswer: 699192*q*v + 3120*v**3 - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 330 = -2*f. Let l = -65 + f. Sort l, 11, 4 in increasing order.\nAnswer: l, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 406.97 - 407. Suppose 5*g + 3*j + 11 = 0, 4*g + 11 = -j - 2. Let o = 55\/4 - 14. What is the fourth smallest value in c, -0.2, o, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -1\/5, -99, 0.4?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 11 - 5*j - 3*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 642*o - 637*o - 40565. List the prime factors of o.\nAnswer: 7, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 107, 2, -0.4, -7\/6, -21, 5 in ascending order.\nAnswer: -21, -7\/6, -0.4, 2, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1396*-0.5.\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 - 3*r**2 + 0*r**2)*(-73 - 6297*r**3 + 6296*r**3 - 10).\nAnswer: r**5 + 83*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11087*u**3 - 27694*u**3 + 14175*u**3)*(-2 - 2*u + 2).\nAnswer: 4864*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (7 - (6 + 3 + -1 + 5))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1574.67 - 1482. Let m = q - 92. Let y = m + -0.2. What is y rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.2 or 169828?\nAnswer: 169828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (22\/(-528))\/(8\/(-144)*-18)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of -10*y + 5*y**2 - 2\/3*y**6 + 0*y**3 + 0*y**5 + 0 + 0*y**4. Differentiate p(c) with respect to c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 125 = 208. Let r = o + 120. Let f = 7 - r. Put 0, f, 2 in decreasing order.\nAnswer: 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*h + 11562 - 4521 - 3270 + 1558 + 21531)*(1 - 1 + 2) in the form z + v*h and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 3*s**2 - s + 2. Let a(p) = 6*p - 19. Let f(i) = -2*i + 6. Let u(n) = 4*a(n) + 11*f(n). Let o be u(7). Suppose 2*c - o*c = -6. Give w(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -253173 + 19494753\/77. Let g = x + -38\/7. Which is the third smallest value?  (a) -1.3  (b) g  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -554*q**5*v - 245*q**4*v + 40*q**2 - 3*q*v + 16*v wrt q?\nAnswer: -33240*q**2*v - 5880*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 587*v**4 - 40*v**3 + 36*v + 50438992 wrt v.\nAnswer: 2348*v**3 - 120*v**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -7*u**3 - 16*u + 2*u - 12*u**2 + 17 + 8*u**3. Let k be j(13). Let v(b) = b**3 - 4*b**2 + 3*b - 1. Let p be v(2). Sort p, -2, k in decreasing order.\nAnswer: k, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000374505 to 6 dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.87, 3, -0.1, -2 in decreasing order.\nAnswer: 3, 1.87, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 <= 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12575.999979734 + 12576. Round p to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143*l + 11936 = -127*l. Let q = -666 + l. Calculate the remainder when q is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*q + 176 + 184 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 11*m**2 + 201*m - 7. Let n(j) = -3*j**2 - 67*j + 2. Determine 4*g(a) + 14*n(a).\nAnswer: 2*a**2 - 134*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/(sqrt(12)\/sqrt(6)))\/sqrt(7).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -342*c**4 - 263851*c**2 + 446523062*c.\nAnswer: -4104*c**2 - 527702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 68\/243 and 61\/629808.\nAnswer: 51014448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-78)\/13*(-4)\/3 + (49 - -22). Solve u*c = -12 + 170 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 AM and 8:49 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 250527213.\nAnswer: 3, 31, 897947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 3)*(-y - y + 0*y + (2*y - y - 2*y)*(4 - 6 + 3) + y - 2*y + 0*y + y - 8*y + 2*y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g and 1 v when four letters picked without replacement from {w: 5, b: 1, g: 5, v: 3, u: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -626 + 115 - 7*q + 102 + 201 + 105 + 101.\nAnswer: -7*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 82553.08 grams in tonnes?\nAnswer: 0.08255308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 2*w + 210341 = w, -4*w = -d + 52571. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (2 + sqrt(36)\/sqrt(3))**2 + sqrt(12) + (sqrt(48) + 1)**2 + ((sqrt(3) + -1)*2 - (-3 + (sqrt(18)\/sqrt(6))**2 - sqrt(3))) + 5.\nAnswer: 21*sqrt(3) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y + 5*y + y)*(110*y + 31*y - 14*y)*(3*y**2 - 2*y + 2*y).\nAnswer: 762*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (0 - -6) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/(-2) - -4) + 378. Suppose 0 = 9*w - 5*w + 2*b - v, -3*b = -w + 88. List the prime factors of w.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7108 divided by -4\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k**3 - 226 - 261 - 5*k**3.\nAnswer: -10*k**3 - 487","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*o + z - 18 = -21*o, 5*z - 2 = -3*o. Calculate the greatest common factor of 176 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0020895391 rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, o: 5, w: 4, d: 1, y: 4, k: 3}. Give prob of picking 1 n and 1 d.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.040984 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of o**6\/120 - o**5\/12 + o**2 - o. Let k(n) be the first derivative of r(n). What is the third derivative of k(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 16912  (b) -18  (c) -0.2  (d) 24  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 120143, 240265, 360385, 480503?\n\"Answer: -u**2 + 120125*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*m + 5*m + 13296 = 0, 0 = -2*w - 4*m - 5310. Let l = -1545 - w. Find t, given that 4*t**2 - t**2 - 2*t**3 - t**4 + l*t - 1116*t = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 53*p**2 + 18*p + 16. Let g(w) = -18*w**2 - 6*w - 5. Let q(u) = 17*g(u) + 6*y(u). Find the second derivative of q(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2217*d - 1 - 4 - 2216*d - 6*d**2)*(1 + 2*d**3 - 1).\nAnswer: -12*d**5 + 2*d**4 - 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1357*x + 38 - 38 + 2173*x + 4071*x)*(-x**3 - x**3 + x**3).\nAnswer: -4887*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 7) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(1183\/(-130) + 9) - 27.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/77)\/(1 + -2 + (-20)\/(-44)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 408 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -63\/5, 1, 5, -2\/9 in increasing order.\nAnswer: -63\/5, -5, -2\/9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1))**(3\/17))**25 assuming u is positive.\nAnswer: u**(-75\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five quarters of a decade in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3799497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*n - 0*n. Let z = n - 5. Is 0.3 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 319217 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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 s = -24.322 - -18.322. Which is the closest to 0.1?  (a) -4  (b) -8  (c) s  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.08896 * 0.145\nAnswer: -0.0128992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4848 is divided by 194?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -173.158 - -0.158. Let z = -185.512 - -13.502. Let c = t - z. What is c rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-183 - 166 + 530)*(0*r - 2*r + 4*r) + r - 2 + 2 + 2 - 2 - 2*r + (1 + 0 + 1)*(0*r - 2*r + 4*r) + r - r + r.\nAnswer: 366*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2020 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -327, -538, -749, -960, -1171, -1382?\n\"Answer: -211*n - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.016*-3.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3312 + 3325 + 41*m**4 - 10*m**4 wrt m.\nAnswer: 124*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*j - 17*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 15*a**2 - 317*a + 631. Calculate h(2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3511.84 - 3513. Put -3\/10, m, -2, -3 in descending order.\nAnswer: -3\/10, m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, u: 14}. Give prob of picking 3 u.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 222 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -12111 (base 4) to base 2\nAnswer: -110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4818023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 285117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 555*h - 31635. Let s be y(57). Factor 279\/2*q**3 + 89373\/2*q + s - 8649\/2*q**2 - 3\/2*q**4.\nAnswer: -3*q*(q - 31)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/5, 361, -4\/7?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.16201 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-3*sqrt(10) + sqrt(10)) + sqrt(10))\/(sqrt(140)\/sqrt(7)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30071, -30002, -29935, -29870, -29807?\nAnswer: -29746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-2 + -1) - -17. Suppose 3 + l = p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2 + 17*v**3 - 3*v - 16*v**3 - 4*v**2 + 1. Let a be s(5). What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 2*f - 44, -7*f = -2*f + 10. Let c = x - 13. Solve l - c = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {j: 3, s: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*z + 175*z = -4*g + 36, -4*z = 3*g - 6 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f = -4*g - 13*f - 133, g - 2*g - 361*f = -357*f + 28 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 4 + 5)*(1 + 2 - 4) + 0 + 2 + 5)*(2*g - 1 + 3*g - 7*g).\nAnswer: -10*g - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 11102.91 - 0.04973\nAnswer: 11102.86027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -a6609 (base 15) in base 11?\nAnswer: -330652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -5039\nAnswer: 15117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.355 or 14\/5?\nAnswer: 0.355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q + 1. Let d(m) = 7*m + 54. Let n(a) = 2*b(a) + d(a). What is the units digit of n(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 4*w - 123. Let r be n(31). Let j be 1 + 1 - (-9)\/(-5). Is j greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -34?  (a) 1\/5  (b) 4  (c) -2  (d) -5  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000448552 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 3 = 0, 4*x = g + 4 - 3. Let y(s) = -s**2 + 4*s + 2. List the prime factors of y(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -4*y**2 - 90*y + 57. Give g(-23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 5. Let a be (3\/b)\/(6\/(-8)). Let g be (a\/(-204))\/(14\/56). Is g >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -1 + 8 + 0 - 8. Let k(o) = 16*o - 19. Let l(u) = -2*k(u) + 4*s(u). Differentiate l(d) wrt d.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-1*(-3)\/(-15)). List the prime factors of 42\/t + 3\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 31 - 156 = 0. Suppose 5 = 3*p - g. Let i = -46 - -64. What is the remainder when i is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -4*j**3 - 16*j**2 + 5*j - 2. Let z(v) = -3*v**3 - 15*v**2 + 4*v - 1. Let t(a) = 5*m(a) - 6*z(a). Let f be t(5). Do f and 8\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 408 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(0 - -2) - -6. Suppose 0 = -4*a + 3*a + 5. Suppose 5*n + 2*q - 90 = 0, 0 = 5*n - a*q - 52 - 3. Solve 0*c + n = i*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 55186653 and -1826.\nAnswer: 55184827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*j + j**2 - 187*j - 3 + 52*j + 4*j.\nAnswer: j**2 - 192*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 34*m**2 + 6*m - 2260. Determine p(32).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-2))\/((-11)\/66). Let l = p - -5. Put l, -5, 2 in decreasing order.\nAnswer: 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 - -20. Let j be 2\/(-3) - (-726)\/w. What is the highest 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 ccrurcqccqzqcrcudc. What is prob of sequence qz?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(19) + (sqrt(19) - (1 + sqrt(304))))*5)**2.\nAnswer: 120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b + 10. Determine q(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q + 4. Let u(c) be the first derivative of c + 2. Let r(b) = d(b) - 4*u(b). Let w(x) = 3*x**2. Give r(w(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of 0 + 0*b**7 + 17\/12*b**4 - 19\/56*b**8 + 0*b**3 + 0*b**6 + 0*b**5 + 0*b**2 + 24*b. Find the third derivative of a(u) wrt u.\nAnswer: -2280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 605622 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -162*h + 63. Let u(b) = 13*b - 5. Determine -5*c(t) - 63*u(t).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 8:17 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4729 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*5335.6113.\nAnswer: -533.56113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dk when two letters picked without replacement from {f: 1, n: 1, d: 5, o: 3, k: 4, q: 4}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32\/66*(-360)\/(-960).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -1\/228*a**4 + 0*a - 37*a**2 + 2\/285*a**5 + 0*a**3 + 0. Factor w(h).\nAnswer: 2*h*(4*h - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + 2*g - 21. Suppose 0 = -4*h - z + g, 0 = -h + 2*h + 2*z. Solve 6 = 5*w + h*r, r = 3*w - 0*r - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2  (b) -0.05  (c) -5  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63367441.\nAnswer: 31, 2044111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (16*1)\/(3\/9*6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 43 and 2972461?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, -14, -2, 2\/3, -7 in descending order.\nAnswer: 2\/3, -3\/2, -2, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -576 (base 12) to base 2.\nAnswer: -1100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -585.4 + 586. Which is smaller: a or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -16*m + 17*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 291809147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + z = 23, 0*k - 25 = -2*k - 5*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*(-924)\/660*(-2)\/7*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**3\/3 - 68*n**2\/3 - 72*n + 96 = 0. Calculate n.\nAnswer: -12, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 814686248 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 92, 497, 1844, 4685, 9572, 17057?\n\"Answer: 92*v**3 - 81*v**2 + 4*v + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 2*n + 860. What is the common denominator of ((n\/(-45))\/2)\/(58\/(-6)) and 17\/3?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -967 (base 14) to base 5\nAnswer: -24410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -20 - 0 - -1 - -22\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.4 from 5.959.\nAnswer: 7.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1 and 35?\nAnswer: 34.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**3 - 2*v**3 + 0*v**3)*(-1 - 3 - 3)*(-v + 0*v + 2*v).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 16 - 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.3025*-5\nAnswer: -1.5125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 80340690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.48 and 0.50719.\nAnswer: 0.98719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 73 - 55 = 4*z - 16, 20*x + 465 = -52*z + 51*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 212399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2 - 2)*(1 - 1 - 2*g) + 0*g - 415 + 177 - 3099 - 6*g + 2*g to the form l*g + v and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 4  (c) -5  (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 391123565?\nAnswer: 5, 7, 11174959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42.6 + -39. Let q = -1.2 + i. Let n = 0.4 - q. What is the closest to 2\/9 in 2, -3, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 - 4*h + 9. Let r be o(-5). Suppose -4*c - 4*n - 84992 = 0, 3*c - 3*n - 21242 = r*c. Let g = c + 14251. Round g to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30 - 13. Suppose 5*z + 34 = 3*y, 0*y = -4*y + z + q. Is 8 a factor of (y - 4)\/(3\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*c - 4*z, 5*c - 3 = 2*z + 23. Let v(n) be the second derivative of n + 0 + 1\/12*n**c + 0*n**2 - 1\/6*n**3. Suppose v(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.21 take away -5086020?\nAnswer: 5086021.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -49737159*v**2 + 31560235*v.\nAnswer: -99474318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -47  (b) 0.2  (c) -4  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 16, 34, 54, 76, 100?\n\"Answer: w**2 + 15*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18013 - 6755 = 2*t. Let a = 9731 - t. Let i = -16327\/4 + a. Calculate the common denominator of i and 27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, -60, -95, -112, -105, -68, 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3778 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-18)\/189 - (-109)\/42)*6\/15. Which is the closest to 2\/19?  (a) 0.34  (b) f  (c) -0.2  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 - 4*g + 2. Let t be b(-4). What is the third derivative of f**3 - 8*f**3 - 5*f**2 - 18*f**3 - 20*f**t wrt f?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -12*k**2 + 6*k + 19. Let t be j(-5). Let r = -1280 - -713. Let g = t - r. What is g rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + 667*u - 40118. What is g(67)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of x**5\/20 - x**3\/2 - 2*x**2 - x. Let s be u(3). Let z be 2\/(-7) - 38\/s. Is z greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of x**3\/6 - 11*x**2 + 4*x - 2. Determine f(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.379 - -116.621. Put 2\/5, k, -2 in ascending order.\nAnswer: -2, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001061873 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m - 4. Let f(y) = 8*y**2 + 11*y. Suppose 5*j = -4*a - 20, 0 = a - 3*a. Let g(w) = -3*w**2 - 4*w. Let c(t) = j*f(t) - 11*g(t). Calculate z(c(x)).\nAnswer: x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of -9*j**4 - 2*j**3\/3 - 23*j**2 - 139. What is the third derivative of v(o) wrt o?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 121786?\nAnswer: 2, 7, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -x + 24. Let l = 49 - x. Let j(f) = -20*f**2 - 9 - 2 + 6*f - 17*f. Let y(h) = 7*h**2 + 4*h + 4. What is l*y(c) - 4*j(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n**4 - 5*n**4 - 3*n**4)*(-17 + 17 + 3*n).\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 3)*(-59*l - 1050 - 1059 + 2111).\nAnswer: 118*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/11, -13, 68, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-65 + 1 - (-35 - -78 - 41)) + 1.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-15)\/(-14 + 90\/10). Solve -4 = -2*l + i*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24612629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 406 and 2282.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 5) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 + 9*h + 14. Let i(o) = o**3 + 8*o**2 - 6*o + 20. Let v be i(-9). Let w be b(v). Let p(k) = k + 1. Determine p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100 (base 3) in base 7?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -115*n - 509. What is the remainder when 142 is divided by o(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 20 = -10*t. Is t\/1 + (-525)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of -7*n**2\/2 + 101*n - 6. Let g = 66 - 46. Calculate the lowest common multiple of w(14) and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 1. Let t(i) = -i**2 - 5. Let s(d) = -t(d) - 5*z(d). Let b(o) = 4*o + 3. Let x(c) = 5*c + 4. Let v(j) = 4*b(j) - 3*x(j). Calculate s(v(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 94\/(-30) + 4 + -1. Let w = 0.01 - 0.1. Let y = 0.09 + w. What is the closest to -1\/5 in -0.2, y, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)\/(sqrt(4) - ((sqrt(100) - sqrt(100)*-5) + sqrt(4)))*-1)\/((-2*2*sqrt(36))\/(sqrt(28)\/(sqrt(28)\/sqrt(4)) - sqrt(4) - sqrt(4))))**2.\nAnswer: 7\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -193, -434, -689, -964, -1265, -1598, -1969?\n\"Answer: -c**3 - c**2 - 231*c + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2717 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 - -19. Let o = -21 + y. Which is smaller: -2\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -16, -75, 3 in ascending order.\nAnswer: -75, -16, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 (base 6) in base 12?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -9 + 0 + 8*l + 0 + 14*l. What is the tens digit of r(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5737.1, 1\/3, -1\/13.\nAnswer: -5737.1, -1\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h + 16. Let x be t(0). Let a be -1 - (2*-1 + -10). Suppose -i = f - 6, 9 = 2*f - 12*i + 11*i. Solve -f*y = 3*j - a, -y = 5*j - 5 + x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.7 * 6\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2425767075 rounded to the nearest 100000?\nAnswer: -2425800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of -403*k**5\/20 - k**3\/2 - 1351*k**2\/2 + 12*k - 68. What is the first derivative of i(s) wrt s?\nAnswer: -1209*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1205*c + 3 + 2971*c**2 - 2970*c**2 - 15*c - 3 as a*c + m + h*c**2 and give a.\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 46, 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/((-1)\/(1 - 0)). Let k = 7 + x. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 8*l**2 + l - 5. Suppose -32 = -4*o - 24. Let m(t) = -97*t**2 + 6 + 2*t + 88*t**o - 3*t. Calculate 6*k(q) + 5*m(q).\nAnswer: 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*h**4\/7 - 9*h**3\/7 + 24*h**2 + 684*h\/7 + 96 = 0. What is h?\nAnswer: -7, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -1. Let f(y) = 5*y - 2. Let i(a) = -f(a) + x(a). What is the first derivative of i(t) wrt t?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 2  (b) -0.032  (c) 24421  (d) 5  (e) 3\/2  (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17848 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1162372600 rounded to the nearest one million?\nAnswer: 1162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 5*f = -3*f - 7, 0 = 2*k - 5*f + 4. Suppose k*n + l = -3*l + 65, 0 = 4*n + l - 65. Suppose -3*z = -2*z - n. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-119 - -104) + (-2 - (-5 + 8 - 5))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-97)\/299439*-147)\/((-4)\/(-42))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -309, -2\/7, -2\/3, -4, -89?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, i: 4, c: 3}. Give prob of sequence ici.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/((-14)\/(-12))*4\/(-6). Differentiate -15 - 2 - 3 - 16 - 29*o**m with respect to o.\nAnswer: -116*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r. Let i(o) = o + 1. Let z(n) = 6*n + 5. Let g(s) = -11*i(s) + 2*z(s). Let u be g(6). Let w(p) = -p**2 + 4*p**2 - u*p**2. Calculate w(y(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dmiiiidiidcicd. Give prob of picking 1 c, 1 i, and 2 d.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7216 + -8?\nAnswer: -7225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/3, -3, 2, 2.3302?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1832453\/60 - 30540. Calculate the common denominator of 23\/108 and h.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 1343.\nAnswer: -5372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32442 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2394*j - 2390*j = 2*z + 36, -4*j + 36 = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*q**3 - 72*q**3 + 145*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*q + 16 = 34*q. Solve -2*b = -2 + q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -3*p**2 + 0*p**2 + 2*p**2. Let g(t) be the third derivative of -t**4\/12 + 6*t**2. Determine g(b(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -862 and 496.\nAnswer: -427552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of -z**5\/4 + 5*z**4\/6 + 20*z**3\/3 - 2*z + 11. Suppose m(k) = 0. What is k?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7487?  (a) 1  (b) 80  (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 11  (b) -3\/4  (c) 0.3  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -13*h**2 + 3158*h - 2806. Give c(242).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-7)\/f*f**(1\/2))\/(f**5\/f**(-6)) assuming f is positive.\nAnswer: f**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*h**3 - 126*h**3 + 55*h**3.\nAnswer: -78*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 243\/3*(-196)\/(-882).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 13135, 14075, 15019, 15967?\n\"Answer: 2*b**2 + 934*b + 12199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 3*d**2 + 2*d + 3. Let b be w(-4). Let n be 2*(-1*2 + 1). Let r = n + b. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((7 - 15) + 14)*1\/(-2). Let f(g) = 4*g + 5. Let s(k) = -8*k - 9. Calculate l*s(m) - 5*f(m).\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 3*y**2 + 8*y - 3. Let o be v(2). What is the greatest common factor of 120 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 7. What is the remainder when 42 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/7  (b) 3.1  (c) 2  (d) 2\/5  (e) -4\/9  (f) 26\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 + k + 1. Let w be y(5). Suppose -h - 19 = -5*s + 8, 5*s - w = 3*h. Solve -s*o + m - 9 = 0, -3 = o - 6*o - 2*m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 99719 + 8801\nAnswer: 108520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1))**(1\/30))**(-49) assuming l is positive.\nAnswer: l**(49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 + 7*b - 6. Let j = 25 - 16. Suppose 0 = 5*q + f - 16 - j, 3*f + 27 = 2*q. Calculate the lowest common multiple of a(4) and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*q - 3117 - 9485 = 98*q - 1442 for q.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 3 + 0)*(-3 + 3 - d) + (-3*d - 11 + 11)*(12 + 11 - 7) + (0 + 0 - 2)*(-2*d + 2*d + d) + 625 - 625 - 19*d to the form z + m*d and give m.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.09  (b) -1699  (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -6*y + 100. Calculate d(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11119 is divided by 5502?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 3*h = 4*g - 45, -2*g - 2*h = 26. Let m = g - -1. Let c(l) = -l**2 - 11*l + 19. Give c(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 599\/25158*(-14)\/4.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11271623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 1)*1 - -53. Suppose -2*s = -m + c, -2*m = s - 71 - 58. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1350*l**5\/11 - 739590*l**4\/11 + 623674*l**3\/11 - 51362*l**2\/11 - 30640*l\/11 + 4376\/11 = 0 for l.\nAnswer: -2\/9, 1\/5, 2\/3, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*o + 8. Let f = 1783.1 + -1782.7. Let g = -63 + 253\/4. Which is the nearest to 0.1?  (a) o  (b) f  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/5  (b) 8  (c) -1\/10  (d) 0.037\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-30)\/12*(-2 + 5*-36). Let h = 743 - k. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r. Let p = -11 - -4. Let t(a) = a**3 + 8*a**2 + 7*a + 4. Let q be t(p). Let c(s) = -q + s + 4. Determine c(l(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -77, -151, -225, -299?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 - -29. What is the remainder when 23 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16*(15\/(-35))\/((-53)\/((-3710)\/60)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -446, -1031, -1590, -2111, -2582?\nAnswer: -2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 3*n - 13. Let f(q) be the third derivative of -q**4\/24 + q**3 + 20*q**2. Determine 9*f(j) + 4*m(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**2 - 6*f - 2. Let x be v(9). Suppose 4*q = -q - 450. Let j = q - x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1086 - 1086 - o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -113*d**2 + 3173*d - 177. Calculate g(28).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 785 + 483 + 114 - 152 + 9*q - 208.\nAnswer: 9*q + 1022","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ollkgokkokkk. Give prob of sequence llgo.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 8925384.\nAnswer: 892538.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 - t - 119. Give c(0).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 728704219?\nAnswer: 397, 1835527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 9, i: 6, c: 2}. Give prob of picking 2 c and 1 k.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 7 = 3*a, 17*l = -a + 12*l - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -80514215*d*y + 11546057*d wrt y?\nAnswer: -80514215*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5473 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + g + 14 = -2*g, 4*c - 3*g - 19 = 0. What is the greatest common factor of 11 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -65 - 73 - s**2 + 142 - 15*s**2 to v*s + a*s**2 + w and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 + 2 + 3 - 4 - 3 - 5*m. Let p be u(6). List the prime factors of -2*(-5)\/8*p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y + 5. Let o be d(7). Suppose o + 2 = 7*t. Solve 0*i + 4 = -t*x - i, -5 = 5*x + 2*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 68, 70, 74, 80?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1970 divided by 5.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by 22\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/4*4\/3. Let p be (-43 - -44)\/(3\/(-24)) - -11. Which is the closest to l?  (a) -2\/15  (b) -2  (c) 0.3  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/5)*f)**3*(f*f**(2\/23))\/f**(2\/3) assuming f is positive.\nAnswer: f**(766\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 87263 rounded to the nearest 1000?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 3:26 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6370 + -3905. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**4\/7 - 282*r**3\/7 + 1892*r**2\/7 - 2112*r\/7 - 4288\/7 = 0.\nAnswer: -1, 4, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, m: 1, w: 1, g: 1, e: 2}. Give prob of sequence aeeg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4318 and 10160?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, -2, -2\/7, 2\/5929, -1, 48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 - 4*l**2 + 7*l + 1. Let a be x(-5). Let b = a - -4. Let c = -6 - -3. Put c, -1, b in ascending order.\nAnswer: b, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - -192*(-6)\/9. Find the common denominator of 131\/12 and ((-2)\/(-10))\/((-32)\/i).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 93252 + 4588. Round a to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 - 1)*(-9266 + 14202 + 12286)*(-2*u + 3 - 3) in the form q + d*u and give d.\nAnswer: 103332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of -17*o**4\/24 + o**3\/3 + 4*o**2. Let g be x(6). Let a = -42 - g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 5*w**2 + 3 - 739370*w + 739359*w - w**3 + 0*w**3. Let q(i) = -2*i**2 + 5*i - 1. Give 2*c(l) + 5*q(l).\nAnswer: -2*l**3 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 6415 = 287. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -1.01 in descending order.\nAnswer: 4, -1.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20 + -100110?\nAnswer: -100030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.1 equal to 6371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 243102 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2470708 + 2476762.461. Let d = -6113.4 + q. Let j = -59 - d. What is j rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 6) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -2\/399, -4, -0.0484?\nAnswer: -2\/399","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2222202100 (base 4) to base 10\nAnswer: -698512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -546, -1112, -1666, -2202, -2714, -3196?\n\"Answer: c**3 - 573*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 109 + -31 + -36 + -101 - (0 - 12)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 12*j**2 - 1. Let u be d(-1). Let t be 2156\/84*(-3)\/(-7). What is the greatest common factor of u and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 62 + -44. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24\/(-312) - 49506\/(-26).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7 + 164 + (3 - 2 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1\/12 - -19\/60. Let g = 5 + -2. What is the biggest value in w, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -206373 (base 13) in base 14?\nAnswer: -159905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**4 + 8*w**3 - 28*w**2 + 16*w.\nAnswer: 4*w*(w - 1)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 557.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-3)*(-6 - -3). Let x(b) = -10*b**2 + 10*b + 6. Let h(p) = 2*p**2 - 2*p - 1. Suppose 0 = -3*o - 15, -3*a - 9 = 3*o - 27. What is a*h(s) + k*x(s)?\nAnswer: 2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -9*s + 7*s. Suppose -3*d + s*d - 18 = -5*w, 3*d - 12 = 0. Let y(p) = 973*p - 3. Is y(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*c - 2*d = 12*c + 2460, -4*d + 20 = 0. Let i = c - 455. What are the prime factors of i?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5 + 6\/(-2) + 0. Suppose i - x*h = 5*i - 102, 2*i + 5*h = 55. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92\/782*17\/(-1)*7\/574.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5 = -1. Suppose -j + 2*c + 7 = -c, 2*c + y = -3*j. Do -1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 27\/(-6) - (-4)\/8. Let l be 1 + (-4)\/c - -7. Find the second derivative of l*s**2 - 68*s + 24*s + 34*s wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by 79?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -5*p**2 + 5160*p - 872235 = 0.\nAnswer: 213, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 21.486356 to one dp.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5636221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.53 - -0.48. What is the nearest to 2\/9 in u, 2, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003973681709 rounded to 7 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -46 + 50. Let w be 0\/(6\/(k + -7)). Suppose w = -2*q + 9*q - 49. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 177832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 5*q - 28, -3*r + 5*q - 3*q - 23 = 0. Let w = r - -14. What is the second derivative of 3*b + 3*b - w*b - b**3 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -93*n + 144 - 76 - 70. Let j(c) be the second derivative of -c**4\/12 + 20*c. What is j(w(q))?\nAnswer: -8649*q**2 - 372*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkm when three letters picked without replacement from {m: 2, k: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 37773514 rounded to the nearest ten thousand?\nAnswer: 37770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3632 and 8399.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 4*y + 3*p + 7, 0 = p + 5. Let t = 1 - -4. Suppose -y*l - 6 = -t*l. Put l, 3\/2, 0.4 in increasing order.\nAnswer: 0.4, 3\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = n - 3, -v - 5*n + 20 = 0. Let x = v + -22. Which is smaller: -9 or x?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/12 + 0 - 1\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + (-1)\/(-2))*12. Is 4\/u + (-478)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -45 + 46. Let y = -0.127 - -0.127. Let v be 85\/20 - 4 - 2\/4. Put 2, i, y, v in ascending order.\nAnswer: v, y, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 + -18. Let l = 7.94 - u. Let z be (-5)\/(-15)*(0 - -2)*-1. Which is the nearest to z?  (a) 4  (b) l  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, -6, -10, -16, -24?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 113.53 and -1075819380.\nAnswer: -1075819266.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61081926*r**3 - 61081927*r**3 - 2 + 2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -345, -1286, -2853, -5046?\n\"Answer: -313*s**2 - 2*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 3354.03454 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 60*c + 344. Calculate b(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 12:57 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 4*v - 13 + 113, -4*n + 176 = 4*v. Suppose -2*t + t = -2*z - n, z = -2*t + 67. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2317\/8 - 290. Let o = 14 - 9. Let z be 54\/(-92) - o\/(0 + -10). Sort z, u, 0.4 in descending order.\nAnswer: 0.4, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/99)\/(6 - 340\/55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -455*p - 80014. What is l(-176)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 344258 or 8262191\/24?\nAnswer: 8262191\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 234834.5ms to seconds.\nAnswer: 234.8345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 2*t - 30. Let f be 8\/(-2)*(-5)\/t. Is 139*(f + 3 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*i**2 + 11*i**2 + 20*i**2 + 25*i**2 - 21 - 56*i**2.\nAnswer: 17*i**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10af57 (base 16) to base 2.\nAnswer: -100001010111101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 6*h + 44. Let k be s(-10). Let b be 12\/k + 87\/132. What is the third biggest value in 0.4, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**2 + 19173752*b - 91908191439376 = 0. What is b?\nAnswer: 9586876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0339 less than -939860411?\nAnswer: -939860411.0339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 42*n - 116. Let y be h(-39). Suppose -i - 7 = x - 2*x, -2*i = 4*x - 4. Let m = -4 + 0. What is the third biggest value in m, y, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, l: 4, p: 1, q: 1, o: 6}. What is prob of sequence qopq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 21510329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, c: 1, w: 9, n: 2, a: 1}. What is prob of sequence wcin?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5845921g in nanograms?\nAnswer: 584592100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -4  (c) 3  (d) -3  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(156) + 3*sqrt(156)) + sqrt(156) + sqrt(156) + sqrt(156)*3*1)\/(-3*sqrt(432) - (sqrt(12) + (sqrt(12) - sqrt(576)\/sqrt(3)))).\nAnswer: -17*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is x in x**3\/4 - 4*x**2 + 39*x\/4 = 0?\nAnswer: 0, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 4:04 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5 - (1 + (-1 - -2)). Let m be (z*-4)\/(-4) - 6. Let d(p) = -p**2 + p + 3. What is d(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -2, -38, 3 in decreasing order.\nAnswer: 5, 3, 0, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4537, 4534, 4521, 4492, 4441, 4362, 4249?\nAnswer: 4096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -26 - (-25 - -34) - (8 - -78)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 i, 1 w, and 1 r when four letters picked without replacement from goriwkgi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -244991*z**3 - 870*z - 96?\nAnswer: -1469946*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + 356?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -359 - -365. Let q = -456 + 462. Calculate the highest common divisor of n and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x + 16. Let t(c) be the first derivative of -c**2 - 24*c + 4. Let i(z) = 8*o(z) + 5*t(z). What is i(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 63*o. Let v(a) = 257*a**2 - 95*a - 9. Calculate v(z(l)).\nAnswer: 1020033*l**2 - 5985*l - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -16, 5 in ascending order.\nAnswer: -16, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -123 + 80. Let u = v - -764. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.02792634125 from -0.3.\nAnswer: -0.27207365875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(110) - -3*sqrt(110)*-1)\/((sqrt(600)\/(sqrt(10)*-2))\/sqrt(6)*3).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -j + 5. Suppose 0*n = j*n - 35. Find the third derivative of 3*k**4 - 3*k**4 - n*k**2 + 0*k**4 - 4*k**4 wrt k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 454*r = 459*r + 3*l + 35, -3*r + 9*l + 7*l + 246 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87363.21 meters to nanometers.\nAnswer: 87363210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in 2170, -2, 2\/31, 4.6?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 5*p**2 - p + 5. Let w be o(5). Let u = -67.3 - -62.3. Which is the third smallest value?  (a) u  (b) -9  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38 + -14. Factor l*c**2 - 127*c**4 + c**4 + 735*c**5 + 10*c**3 - 2*c**3 - 116*c**3.\nAnswer: 3*c**2*(5*c + 2)*(7*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.94 - -0.44. What is the nearest to 0.1 in 1, c, 25?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 2*i + 20. Let x = 7 + i. Find the common denominator of ((-16)\/18)\/(x\/24) and 50\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-128)\/740)\/(-8))\/(32\/1280*32).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -177 (base 13) to base 5.\nAnswer: -2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18093 in 1\/2, -4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -19*h**2 - 28*h + 13. Determine a(-4).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/2)\/((-42)\/4872*406).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - -2 - (-3 - -4). Let h be 4\/(58 + (4 - k)). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 6829238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 2. Let v(f) = -21*f**2 - 19*f + 38. Let x be v(6). Let b = -826 - x. Solve h*w = b*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 683122.3l in millilitres?\nAnswer: 683122300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 515716722 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1832 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 89*a**2. Let f(t) = 26*t. What is r(f(j))?\nAnswer: 60164*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20130253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 18420 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 6, j: 13}. Give prob of sequence tjt.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 7:08 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-12)*(9 + -13). Which is the closest to 0.1?  (a) 5  (b) o  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 50 = 12*t. Differentiate 148*o - t + 3 - 103*o wrt o.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -31*g**8\/56 + 13*g**4\/6 - 8*g. Find the third derivative of p(b) wrt b.\nAnswer: -3720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*q + 81*q + 5*n - 58 = 0, 4*q + 2*n + 44 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -10 times -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2543 + 2543 + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 8 = -7. Let c(m) = 12*m**2 - m. Calculate the lowest common multiple of c(1) and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + -1. What is the units digit of q + (1 - -1) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 28 + 8?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2784 + -2765. Let j(v) = 6*v**2 + 2. Let u be j(-5). Calculate the greatest common factor of u and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/19, -0.1, -5, -0.4, -9.43?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + -4. Let t = -6 - v. Which is the nearest to t?  (a) -1\/6  (b) 0  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -15*c - 11. Let q be l(3). Is 18 a factor of 1\/(-4)*-1015 - 14\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28687 + -28691. Let l = 19 + -19.68. Which is the third smallest value?  (a) l  (b) z  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/9)\/((-556358)\/79497 + 7).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.874322228 to three dps.\nAnswer: -8.874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 14785632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 - -4. Let u be 3*-3*2\/3. Let h = u - n. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -837, -783, -729?\n\"Answer: 54*z - 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29989 + 29944. Do p and -3\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 725, 723, 721, 719?\n\"Answer: -2*q + 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1760 and 39248.\nAnswer: 392480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + o + 3*o)*(-39 + 95 + 79)*(0 + 1 + 1 + 4 - 2 - 4 + (1 - 4 + 2)*(0 + 0 - 1)).\nAnswer: 135*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*t = -65 - 265. Let n be 2196\/270 + 2\/t. Let j(f) = -f**3 + 8*f**2 + 4*f + 2. Calculate j(n).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 67 - 373. What is the remainder when 42 is divided by n\/(-9) + (-7)\/21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14584.73294 rounded to one decimal place?\nAnswer: 14584.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 64, 84, 104, 124, 144?\n\"Answer: 20*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(n - 6*n**2 - 4*n + 4*n**2).\nAnswer: -2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3706*v + 4136*v = 46870 for v.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 8*f**2 - 7*f - 9. Let v(a) = -a**2 + 1. Let x(i) = -3*v(i) - w(i). Let j be x(9). What is the common denominator of 71\/12 and 4\/j*-393 + -2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 - 60 - (-1 - -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2934 + -2936. Suppose -3*v + 2*h = 0, -9 - 5 = -4*v - 2*h. Suppose -3*a = -4*f - 4, 0*a - 4*a - 2 = 2*f. Sort a, o, v, 1 in descending order.\nAnswer: v, 1, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*b + 3*s, b + 0*s - 4*s - 19 = 0. Let t = -13 + 15. Let h(i) = i**3 - 18 - 2*i + 12 - 2*i**b - 6*i**t. What is h(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1263 - 867. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 158 - 147. Suppose 4*a = g - 3. Solve m - b = a*b + 6, -2*b - 4 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 2*p - 5838 = 5*o, 3*p - 2*o = 17540. Suppose -c - 7*c + p = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33 - 28. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13763946 a multiple of 1556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) + -1*sqrt(72))*-6 - sqrt(72) - sqrt(72) - sqrt(72))\/sqrt(4))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 - 30.8.\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -45522927, -45522927, -45522919, -45522897, -45522855, -45522787, -45522687, -45522549?\n\"Answer: q**3 - 2*q**2 - q - 45522925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**13\/h*h)\/(h\/((h*h**(-2\/19)\/h)\/h)*h))**(-3\/43) assuming h is positive.\nAnswer: h**(-564\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 214 - 214. Solve g = 2*x - 4, -3*g - 4 + 16 = y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1271 + a + 0*a - 1272 + 2543.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 273 = o - 3, -4*c - 368 = -5*o. Let x = c + 172. Let t = x - 39. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 171 and 67914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 188313 and -1.\nAnswer: -188313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36 - -51. Suppose t*h = -882 + 2157. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -84 + 127. Suppose 5*n - 42 - i = 0. Let u = n - -5. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55 or -1602\/29?\nAnswer: -1602\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*k = 315*k + 822 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiiiiiiiisisisii. What is prob of picking 2 i and 2 s?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 10 = -7*b + 2*b, 0 = -3*x - b + 15. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(208) + (sqrt(208) - (sqrt(208) - (sqrt(208) + -1))))*-1 - (sqrt(208) + (sqrt(208) - (sqrt(208) + 0)) + -2))**2 + -2.\nAnswer: -72*sqrt(13) + 1879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -302*t - 298*t + 601*t + m - 7 = 0, -19 = -3*t - 5*m for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 PM and 3:09 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166774.\nAnswer: 2, 61, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -3*x**2\/5 - 1176*x\/5 - 12276 = 0?\nAnswer: -330, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -31029.8 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 90, 123, 182, 267, 378?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/88*-33)\/(27\/168*2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/21 + (-36)\/(-21). Let p(r) = 8 + 3*r + 0*r - q*r. What is p(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -32*x**3 + 2*x**2 + 4*x + 1. Let d(s) = 159*s**3 - 11*s**2 - 22*s - 4. Give 4*d(j) + 22*i(j).\nAnswer: -68*j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25907053.\nAnswer: 25907053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*h**2 + 44590*h - 9908.\nAnswer: -2*(h - 2477)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224 = 268*t - 300*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -44 + 2. Let z be 0 + (-28)\/q*(-18)\/4. Let t(d) = -d**2 - 3*d + 1. Calculate t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 + 13*d**2 - 18*d - 58. Let s be x(-14). Which is bigger: -133\/41 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11746 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.57 * -2763.\nAnswer: 4337.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.5, 80, 0, -1.\nAnswer: -1, -0.5, 0, 1, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66 - 26 - 133*a - 18 - 22.\nAnswer: -133*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10499494?\nAnswer: 2, 1277, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8342611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.893 + -1.047. What is b rounded to 2 dps?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8223929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 57  (b) 0.5  (c) 1\/70  (d) 4  (e) -5  (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 96425465?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 3*r = -r + 24, -4*r = -3*m + 24. Suppose t + 20 = 4*h, -3*h + m = -5*t - 7. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-2)*111\/((-8325)\/(-400)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of -25*q - 1\/60*q**5 + 0*q**4 + 0*q**3 + 0 - 2*q**2. Let r(g) = -165*g. Give a(r(h)).\nAnswer: -27225*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25622 - 21025. Calculate the remainder when d is divided by 1530.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -10*i + 5. Let z be n(2). Let u = 20 + z. Let w = -3 - -7. Sort u, w, 2 in ascending order.\nAnswer: 2, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + s = -10, 5*n - 30 = -s + 6*s. Let c be 1*(1 - (-2 + 3)). Let o be 3 - (-3 - -2 - -2). Solve -3*v + n*v + o = c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320*h**2 - 10*h - 526 + 5*h + 3*h.\nAnswer: 320*h**2 - 2*h - 526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 2.556 in increasing order.\nAnswer: -4, 2, 2.556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1263 by 3.\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 117666 by 26.\nAnswer: 58833\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qeummeklluueuueee. Give prob of picking 1 m, 1 k, and 1 u.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**5\/4 - 4*d**4 - 39*d**3\/2 - 28*d**2 - 49*d\/4.\nAnswer: -d*(d + 1)**2*(d + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28.4 - 28. Let k = 295 + -288. Which is the closest to -4?  (a) 0.2  (b) k  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y + 3*y**3 + 0*y**3 + 3*y**2 - y**2. Let a be g(-2). Is (a\/(-8))\/(1\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1079, 2170, 3263, 4358, 5455?\n\"Answer: b**2 + 1088*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.783 and -0.127.\nAnswer: 0.607441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4624319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/1632 and -25\/596136?\nAnswer: 40537248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-19714)\/8 + (-4)\/(-48)*3. Let w = t - -7400\/3. Let -14\/3*o**2 + 10\/3*o**3 + w - 16\/3*o = 0. What is o?\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (2 + 10\/5)*4 and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20.7 + 19.7. Suppose q - 3*q + 36 = 0. Let i be (-1 - -5) + (-68)\/q. What is the nearest to s in 0.5, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of p**5\/60 + 5*p**4\/3 + 2*p**2. Let u(t) = -93*t + 77*t - 84*t + 102*t. Give u(r(b)).\nAnswer: 2*b**2 + 80*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 59*r + 22*r + 3*r + 4591 - 5011. Suppose -4*c = 141 - 697. Solve -r*s = c - 114 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 14 + 5 = 0. Suppose 3*t + 180 = b*t. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -664 + 496. Calculate the common denominator of 73\/56 and (-6*(-1)\/(-3))\/(n\/121).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5328 = 272*t + 61*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 47*n + 66*n**3 - 656496*n**2 + 656496*n**2 as q*n**2 + k*n**3 + w*n + j and give k.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2019*l**2 + 39234*l**2 - 8419*l**2 + 45505*l**2.\nAnswer: 74301*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75 = -7*x - 40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/4*-4*((-590)\/413 + 423\/105)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kjjj when four letters picked without replacement from {j: 7, k: 2, r: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 3\/8, -0.09.\nAnswer: -4, -0.09, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 4 + (-1 + 0 + 0)*(0 + 3 - 5))*(1909*o**2 + 2072*o**2 - 1644*o**2).\nAnswer: 2337*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 477 + -559. Suppose 5*n = -319 + 1449. Let h = k + n. Calculate the remainder when h is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from cdbci?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -202*j**5\/5 + j**4\/2 + 101*j**3 + 384. What is the third derivative of d(u) wrt u?\nAnswer: -4848*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 264316846 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 10 = -4*h, -5*o + 5*h - 5 = -15. Suppose -o*v = 5*w - 347 - 4, 12 = -4*v. Calculate the remainder when w is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -330 = -l - 335. Let z(r) = 619*r**2 + 28*r + 168. Is z(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - -1 - (-10 - (-3 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 34*g - 135 - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 46\/16 - (-15)\/(-5). Let y be (-2)\/4 - (-28)\/24. Let p be 0 + 0 + -2 + 5. What is the second biggest value in y, n, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -32*p + 24 - 23*p + 50*p + 6*p**2. Is 3 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1950327 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) 162  (c) 5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) + -1)) + sqrt(2))*-5 - (-4 + sqrt(2)*1).\nAnswer: -6*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -53 + (-33)\/(44 - 41)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 81 + -36. Let o = s + -43. Let x be (o + 1)*(30 - 29). Solve -4*q + 1 = -x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -681776\/7 - -97412. Factor -3\/7*h**4 - 30\/7*h**3 - 81\/7 - v*h**2 - 162\/7*h.\nAnswer: -3*(h + 1)*(h + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**3 + 2*y**3 - 2*y**3)*(3 - 3 - 5*y**2)*(3587 - 2441 - 2152).\nAnswer: 10060*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2387, -2362, -2321, -2264?\nAnswer: -2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -19*m + 1. What are the prime factors of j(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -95, -4, 2, 9 in ascending order.\nAnswer: -95, -4, -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (79\/(-711))\/((-2)\/(24\/14))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 5*h - 165. Let p(z) = -6*z + 220. Let b(r) = 4*j(r) + 3*p(r). Let n(u) = 607*u - 8. Give n(b(i)).\nAnswer: 1214*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22025603*a**4 - 23893831 wrt a.\nAnswer: -88102412*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/870680 and -103\/5398216.\nAnswer: 26991080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1395541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ue when two letters picked without replacement from esfuxxx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - 5*y + 21 + 16, -3*y + 11 = -t. Suppose -162 + 54 = -2*h - t*d, h - 24 = 4*d. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 15 + -121?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -28315.161 and 0.\nAnswer: -28315.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (1 + -1 - 2) + (47 + -100 - -44)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - (35 - (-6 - -23))) + (-18 - (1 + -3))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2431154972.\nAnswer: 2, 17, 89, 401711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10799 + 194329\/18. Calculate the common denominator of (-89)\/(-2)*(-3)\/24 and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 170 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/5)\/(r\/(r*r**(-2\/9)*r*r))*r*r*(r**(2\/11)\/r*r)\/r*(r\/r**(2\/17))\/r*r*r*r)**(14\/5))**(-27) assuming r is positive.\nAnswer: r**(-2206092\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 14105 (base 9) to base 7\nAnswer: 36611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2. Let g(f) = 77 + 3*f - 77. What is d(g(j))?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22*(-14)\/(-1540))\/(((-36)\/360)\/((-1)\/(-17))).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29 + -22. Suppose 2*m - 3*h = c, -6*h + 4*h = -3*m + 8. Let o be 2 - (m - (4 - -1)). Solve 0 = -4*q + o*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 398199180.\nAnswer: 2, 3, 5, 37, 179369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 12462 (base 13) in base 16?\nAnswer: 83af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -7  (c) -4  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/(-10)*-5*4\/40?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-50 + 43*z + 50)*(1 + 0 - 3) + 2*z + 0*z + z)*(-2*z**2 + 2*z - 2*z).\nAnswer: 166*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 130 by 36.\nAnswer: 65\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 1 = -3*i, -3*i = 9283 - 9307 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 60*f**4 + 10378*f**2 + 36967*f - 4 wrt f.\nAnswer: 720*f**2 + 20756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -724 + 1354. What are the prime factors of l?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -3\/5  (b) -0.1  (c) -35  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 64?  (a) -2\/11  (b) 0.3  (c) 3\/7  (d) -0.1  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 4 - (-7 - (8 + -23) - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001001011 + 1000000?\nAnswer: -1000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i**3 - 19*i - 4. Let o be s(-10). Let y = o + -1183. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 + 1*(-45)\/(-25)*1)\/(4\/(-30))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 138*s - 1103. Let z be x(8). What is the fourth smallest value in 3\/10, z, -0.5, -21, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3226626 - 2?\nAnswer: -3226631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40 - 75) + 11 + (-50 - -12)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.454675 millennia in years?\nAnswer: 2454.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*t, 3*r - 14790 + 1505 = 5*t. What is the highest common divisor of 52 and r?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25 or -467?\nAnswer: -467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - ((0 - -13) + (83 - 88)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10287\/1016 + 3\/(-24)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*n - 2*a + 14, 5*n - 3*a - 17 = 0. What is the second derivative of -2*d**4 - 61 + 20 + 3*d**n + 47*d**2 + 25 + 17 - 4*d wrt d?\nAnswer: 12*d**2 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 0.3  (b) 103  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 - 89\/10. Let f = -4.7 + 5. Is f greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**3 - 30*f**2 - 185*f + 102. Calculate v(-11).\nAnswer: 1169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 - x + 2. Let c be w(2). Suppose 4*p = c*t + 4 - 12, 14 = p + 3*t. Suppose l + p*l - 27 = 0. Calculate the least common multiple of 4 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -7*k**2 + 2*k. Let m(h) be the first derivative of h**6\/180 + 77*h**3\/3 - 15. Let i(v) be the third derivative of m(v). Calculate d(i(l)).\nAnswer: -28*l**4 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 659360728 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 697*x - 700. Calculate v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-143)\/(-22) + (-144)\/(-32).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151*i + 2092 + 1566 - 336 = 0. Suppose 0 = 2*a - 4*a - 2, 2*g - 5*a - 7 = 0. Calculate the least common multiple of g\/1*1*60 and i.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11796787 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5180 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 o when three letters picked without replacement from mmfffmffmfoff.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 225526840 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 7:35 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 + 48*w - 316. What is s(-54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1812895 divided by -4\nAnswer: -1812895\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3364053.150499 + 3364839.15. Let c = r - 786. What is c rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 162 - -150. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 0*a + 4 = 0. Let k(g) be the third derivative of -g**4\/12 + 3*g**3\/2 - g**2. Let n(o) = -2*o + 10. Let t(m) = 4*k(m) - 3*n(m). Determine t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*b + 2*b - 200*b - 3164 = 62*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 5*i - 33 - 56 = 0, -23*p + 206*i - 207*i + 373 = 0 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11210)\/(-24662) - 7\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.7 - 0.75. Let b = f - -0.04985. What is b rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3.75 less than 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -50825, -102994, -155163, -207332, -259501, -311670?\n\"Answer: -52169*a + 1344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 3*i + 0 + 1 + 0*i to the form c + s*i and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 0*v**3 + 9 + 6*v - 845*v**2 + 839*v**2 - v**3. Let w be z(-7). Suppose 2 - 7 = -5*y. Put -5, w, y in decreasing order.\nAnswer: w, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of -2*b**2 + 1\/4*b**4 - 1\/30*b**6 + 0 - 1\/10*b**5 + 2\/3*b**3 + 2*b. Factor u(d).\nAnswer: -(d - 1)**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2914 and 28623?\nAnswer: 1774626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-5172)\/(-16)*4\/3 - 1 and 16.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.32 + 0.18. Let g be 1\/2 + 14\/4. What is the closest to 1\/5 in q, g, -3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from fsfjszzosfjjffffs?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 5*j + 173269, -90*j = 2*c - 95*j - 346518. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pullhlluphhlh. Give prob of picking 1 l, 2 u, and 1 p.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33 - 29 - 19)*(14*d + 19*d - 25*d)*(-d + 0*d + 3*d).\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -2\/7, -0.3, -1\/7, 1\/2 in descending order.\nAnswer: 1\/2, -1\/7, -2\/7, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8362 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -3*a - 124, a - 6*a = 5*m - 100. Suppose -1060 = -27*i + m*i. Does 53 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 c, and 1 g when three letters picked without replacement from {i: 2, c: 1, g: 2, j: 1, s: 4, z: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 78*z - 82*z + 456, 2*z = -t + 234. Solve 0 = -20*m - 3*m - z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 202 + -196. Suppose -t + 488 = -v, -3*t - j*v + 1464 = -3*v. List the prime factors of t.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1725363\/80 + -21567. Let m = -71\/156 - 2059\/1560. What is the common denominator of m and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -329*r + 1370 + 2249 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -58857*-0.5\nAnswer: 29428.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/1496 and -107\/1092.\nAnswer: 408408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -5023\/196 >= -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 521274 or 521272?\nAnswer: 521272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (151*r + 166*r - 167*r)*(0 - r + 0)*(-3 + 3 + 5) - 3*r**2 + r**2 + 3*r**2.\nAnswer: -749*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(110)\/(sqrt(5) - sqrt(80)))\/(sqrt(16)\/(sqrt(16)\/sqrt(2))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-18)\/(-3) - (-4)\/2. Suppose b + q - 30 = 0. What is the remainder when (-238)\/(-1309) - 2139\/33*-1 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*o + 2*o - 4*o)*(8 - 9*o**3 - 8) + (3*o**4 + 3*o**4 - 4*o**4)*(-2 - 2 + 6) to the form k*o**3 + x*o + p*o**2 + u*o**4 + l and give u.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*y - 18*y + 464 = -17*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11148*d**5 + 2*d**4 - 4*d**2 + 6*d + 14974?\nAnswer: 222960*d**3 + 24*d**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -1\/4  (b) -1  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t - t - 4. Let q(x) be the second derivative of -x**4\/12 - 4*x. Let o(v) = v**3 - 8*v**2 - 5*v - 6. Let a(c) = t*q(c) + o(c). Determine a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1018266641.\nAnswer: 7, 31, 4692473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.10669 + 84.31669. Let h = -50.38 - k. Let s = h - -134. Round s to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -9 + 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36871265 is divided by 18435625.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 + 3)\/(-4)*-8. What is the third derivative of -8*v**x - 3*v**4 - 5*v**4 + 15*v**4 wrt v?\nAnswer: 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6889488 and 285600?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggdgggggdggudggggu. Give prob of sequence ud.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g - 3*b + 3, -3*g + b - 1 = -10. Solve -3*o - 7\/4*o**5 - 9\/4*o**4 + 19\/4*o**3 - 1 + 13\/4*o**g = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(108)\/sqrt(3))\/sqrt(3))\/(sqrt(4)\/sqrt(2)*5))\/(((sqrt(30) + sqrt(30)*1)*2 + sqrt(30))\/(3*sqrt(90))))**2.\nAnswer: 162\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 32 = 4*q, 4*a - 8 - 26 = -5*q. Let l(u) = -49*u - 41. Let h be l(-1). Solve 2*b - h = -q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.6  (b) 0.1  (c) -0.4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 236 + -233. Solve u + 2*h = -3, -1 = o*u - h + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 10) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 5:44 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of -q**6\/120 - q**5\/12 - q**4\/6 + q**3\/6 + 31*q**2. Suppose 0 = -511*g + 521*g + 40. What is n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 18105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/((5 - 4)*3). Which is the biggest value?  (a) f  (b) -0.03  (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of -m**2 - 1. Let f(o) = -93 - 32*o - 93 + 13*o + 8*o + 9*o + 193. Determine f(n(v)).\nAnswer: 4*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 - 0. Suppose 5*u = -20, -w - d*u = -3*w + 26. Suppose 0 = -5*c + 20, -n - c + 4*c - 11 = 0. What is the lowest common multiple of n and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -36874100*d**2 - 7448930*d wrt d?\nAnswer: -73748200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {j: 2, g: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 5 = 0, -4*y = -s + 6*s - 50. What is the smallest common multiple of s and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43 - -38. Let u = h + 4.9999924. Round u to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.906 + 0.104. Let a = 2 - 1.99. Let y = a - l. Put y, 4\/7, 0.3 in increasing order.\nAnswer: y, 0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003056 rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -185530 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/((-390)\/(-12)) + (-3)\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v + 22 = -20. Let i be v\/3 + 9\/(-2)*-50. Suppose -i = -2*k + 5*c, 2*c - 5 = -3. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1289831 + 4?\nAnswer: 1289835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5\/1186 + 24293\/4744. Let i be 14\/(-2) + -1558 + -15. What is the common denominator of k and (i\/8)\/5*1\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - 6*q**2 + 8. Let w be f(6). Let v be (6\/(-8))\/(3*12\/(-48)). Calculate the highest common divisor of w and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*j + 22*j + 34*j - 73*j - 680 to the form u*j + a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 9932 + 14\nAnswer: 9946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.049 + 0.051. What is the closest to l in 3, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -9*s**2 + 69*s - 18. What is u(8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 3822789*k**2 + k - 1. Let c be o(-2). Let y = 8520798 + 17570355. Let a = y - c. What is a rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, o: 4, i: 1, t: 2, j: 2}. Give prob of sequence jijo.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1032 (base 4) in base 8?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u - 108150 = -7*u - 13*u. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of -44*f**5\/15 + 48*f**2. Let l(c) = -16*c**2. Give 32*l(y) - 3*r(y).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (105\/(-28))\/((-6)\/4)*-6. Let h(v) = 3*v. Let c(u) = -5*u - 4. Let m(x) = 6*x + 5. Let p(n) = -5*c(n) - 4*m(n). Determine i*p(j) + 4*h(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11555182*c**2*y**2 + 1290*c + 7737*y**2 wrt c?\nAnswer: 23110364*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -6*j + 173. Suppose 0*l = -3*l + 51. Let g = j - l. Solve 3*y = y - 6, -2*y = 2*r + g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103988 is divided by 103785?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -0*w + w + 8, -3*d + 12 = 5*w. What is the derivative of -7 - 146*h + 146*h - 4*h**d wrt h?\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2156407?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 649 and 317190313?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 6 - 4)*(-400*u**4 - 224*u**2 - 223*u**2 + 30*u**4 + 447*u**2) as g*u**4 + q*u + y*u**3 + f*u**2 + x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -40299431.\nAnswer: -5\/40299431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2191342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -6172114, -6172123, -6172132?\n\"Answer: -9*w - 6172105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o + 30 = -10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -5*b**3 - 11*b + 11. Let s(p) = 2*p**3 + 4*p - 4. What is 4*a(r) + 11*s(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13*k**4 + 1196*k**3 - 10266*k**2.\nAnswer: 312*k + 7176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, z: 1, n: 7, p: 7, u: 3}. What is prob of sequence huh?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/5, -1118493, -5, -2?\nAnswer: -1118493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -10. What is the smallest value in -0.1, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1971 - -570. Let q = a - 2539. Solve q*s + 0 + 1\/3*s**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(11) + sqrt(99) + -2)**2.\nAnswer: -16*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(800) - (sqrt(800) + sqrt(800) + 0 + sqrt(800) - sqrt(800))**2) + 1 - sqrt(800).\nAnswer: -3199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 99988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s - 7. Let u be v(-9). Find the third derivative of 56*b**5 - 18*b**5 - 15*b**5 - 42*b**u - 11*b**5 wrt b.\nAnswer: 720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8\/(-6) + (254020\/(-30))\/(-13)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c, 1 n, and 1 i when four letters picked without replacement from {i: 3, c: 2, n: 4, r: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1726822714 to the power of 1\/3, to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -180427 and 0.7.\nAnswer: -126298.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 times -22056.5?\nAnswer: 13233.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*b + 4*b**3 + 868*b**5 - 761*b**5 - b**3 - 3*b**3 wrt b?\nAnswer: 2140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/17  (b) 0.03  (c) -0.2099581\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 14*g**2 - 8*g. Let j be a(4). Suppose l - 5*l + j = 0. Factor -l*h**2 + h**5 + 28*h**2 - 12*h**3 - 5*h**5 - 12*h**4.\nAnswer: -4*h**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1446, 1371, 1248, 1077, 858?\n\"Answer: -24*o**2 - 3*o + 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -78 + 56966\nAnswer: 56888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 1 + 3 + 6 + 167*s.\nAnswer: 167*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2773 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v - v**3 + 0*v**3 - 2*v)*(-v + 4*v - v).\nAnswer: -2*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45216689?\nAnswer: 7, 23, 163, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*w**5 + 335*w**4 + 1155*w**3 - 1910*w**2 + 400*w = 0. What is w?\nAnswer: -10, -8, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2275 and 62465.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 158 + -20. Suppose r - 6349 = -i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3772 (base 11) to base 13\nAnswer: -2315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -20*l + 34. Solve -l*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48031 (base 10) in base 14?\nAnswer: -1370b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -126 or -318803?\nAnswer: -318803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126415322?\nAnswer: 2, 11, 19, 302429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -9, 0 in decreasing order.\nAnswer: 1, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 783127000 to the nearest one million.\nAnswer: 783000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p*p**9*p*p*p)\/(p**19\/p) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + 3013300?\nAnswer: 3013243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 61 - 195 = 0. Let c = p + -22. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.812286 to three decimal places.\nAnswer: 19.812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 + 2*q - 1. Suppose 3*k = 8*k + 10. What is l(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of -3922*i**3\/3 + i**2 + 3255*i + 2271. Find the second derivative of y(b) wrt b.\nAnswer: -7844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5023878978 divided by 6.\nAnswer: -837313163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*d = -28*d + 26*d - 513810. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 473800340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 234118 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 16332667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 8 = -5*d, 4*d + 2*g = g - 4*g - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1445, 1234, 985, 680, 301, -170?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 + 15*d - 8. Let m be u(14). Suppose -m*v + 10*v = 64. What is the remainder when v is divided by -1 + 7 - (16 + -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7160 - -5092. Which is smaller: -6206\/3 or p?\nAnswer: -6206\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/115 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g - 1. Let v(k) = -k**3 - 7*k**2 + 2*k + 16. Let j be v(-7). Let n(i) = 98*i**2 + 87*i + 15. Let q(x) = j*n(x) - 6*b(x). Factor q(p).\nAnswer: 4*(7*p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1652509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 5*g - 52 = 0, -g + 76 = -0*f + 4*f. What is the remainder when 35 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -0.0002\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of -v**3\/3 + 15*v**2\/2 - 6*v. Calculate the remainder when u(0) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35.26 times 11?\nAnswer: -387.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2417831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -7516602*z**3 + 12252*z**2 + 3063*z + 3063. Let r(p) = -12272*p**3 + 20*p**2 + 5*p + 5. Calculate -5*a(v) + 3063*r(v).\nAnswer: -6126*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/9 and 44\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*d - d - 15. Suppose d*x = x. Let l = x + 6. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 1, 8, 6, 2\/27.\nAnswer: -0.4, 2\/27, 1, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5586 divided by 11351\nAnswer: 5586\/11351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x - 124 = -166 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 y when three letters picked without replacement from {y: 6, p: 2, f: 2, v: 9}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13.5 + -0.1. Let o = 1 + f. Let j = 13 + o. Put -0.4, 1, j, -2 in ascending order.\nAnswer: -2, -0.4, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -4.3. Let q = 207.9 - 208.9. Which is the nearest to 1\/2?  (a) w  (b) 0.01  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2402*a**2 - 7*a + 14. Let k(r) = 2410*r**2 - 6*r + 12. Let x(w) = 6*f(w) - 7*k(w). Let b(d) = 3*d. Calculate x(b(s)).\nAnswer: -22122*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5680 and 3022470.\nAnswer: 24179760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*c**2*u**3 - c**2*u**2 + 77*c**2 - 5*c*u**3 wrt u.\nAnswer: -48*c**2 - 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t + 2. Let i(g) = g - 1. Let b(o) = -o - 16. Let x be b(-11). Let y(c) = x*i(c) - 3*v(c). Let p(k) = -10*k + 10. Calculate -2*p(r) - 18*y(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 12*c**3 - c - 2. Let b be 30\/(-105) - (-40)\/(-56). Calculate i(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {x: 3, k: 5, f: 1, b: 1, n: 3, j: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4058053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1487, -6808, -20639, -40006, -64909, -95348, -131323?\n\"Answer: -2768*v**2 + 9*v + 4246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from biluu. Give prob of picking 1 b, 1 l, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -24 - 22. Suppose 3*w - 2*h = r, -h + 44 = 4*w + 3*h. Let g(j) = -2*j + 7. Let d(o) = 5*o - 15. Calculate w*g(z) + 4*d(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-44)\/((-10384)\/177)*-52\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 - 16*r + 11. Calculate t(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2085*p = -2082*p + 5*w + 26, 0 = -2*w - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2*l**3\/3 - 176*l**2 + 386654*l\/3 + 388220 = 0.\nAnswer: -590, -3, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 580  (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 2626712\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tmm when three letters picked without replacement from {m: 4, f: 2, t: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 44\/576*(1 + 111\/6). Let i = 1\/96 + v. Is 0 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25642.1 rounded to the nearest one hundred?\nAnswer: -25600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -6*k - 12. Let m(n) = -n - 1. Let s(o) = 2*g(o) - 4*m(o). Let j be s(-10). What is the greatest common divisor of 40 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -10211?\nAnswer: -10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*y + 3*y - 5*y)*(5 - 2 - 1)*(0*y + 2*y - 4*y) to the form d + p*y + f*y**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67343761 is divided by 326.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 1437724.882 to the nearest 10.\nAnswer: 1437720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 - 3*f - 5. Let w be x(-3). Let r(g) = 2*g**2 + 14*g + 19. Let k be r(w). Is k less than -4\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 124 + 43. Suppose h = -h - g + 370, h - 4*g - d = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111220 - 12121111222?\nAnswer: -12121000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**2 - g - 2. Suppose 3 = -18*h + 39. Calculate t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -20*i**2 - 19*i - 4. Let f be v(-10). What are the prime factors of (12 - 105\/7) + f\/(-2)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 5, r: 2}. What is prob of sequence rrm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46632*l**2 + 254*l + 5608704.\nAnswer: -93264*l + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of 0 + 0*v**2 + 0*v**3 + 3\/2*v**5 + 10*v - 7\/12*v**4. What is the third derivative of f(b) wrt b?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - -16. Suppose 2*n = 6*n - c. Suppose 2*s + 117 = n*s - 3*u, 123 = 2*s + 3*u. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/4960 and 57\/6200.\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 3*p = -6 + 3, -k = -5*p + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 7:07 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9108286393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 158605668?\nAnswer: 2, 3, 13, 112967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.09, 3.5, -291, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 9, a: 10}. Give prob of picking 2 t.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2172 - -5946. List the prime factors of (-12)\/78 - w\/(-26).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 203514047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 less than -566.5?\nAnswer: -565.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/(-5))\/(-6 + (-927248)\/(-154530)). Calculate the highest common divisor of x and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -69*q + 4. Let i(r) = -586*r + 34. Let j(z) = -2*i(z) + 17*m(z). Let h(a) = -a - 359. Give h(j(n)).\nAnswer: n - 359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2.301  (b) -2  (c) 1  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -145c0 + -4?\nAnswer: -145c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q - 8. Let h be n(7). Let o(m) = m**3 + 3*m**2 - 4*m + 1. Let f be o(-4). Let d be (h + f)*-1*1. Which is smaller: 1\/8 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 1205?\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(-54))\/(114\/(-2052))*5\/((-70)\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from ffwfffffifffifwfif.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n. Let h(c) = -c + 18. Let d(m) = 3. Let k(a) = 6*d(a) - h(a). Give -j(i) - 3*k(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1312 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188*n - 5*z - 11 = 192*n, -2*n - 4 = 2*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (((-533)\/(-2))\/(-13))\/((-2)\/4). Let s = 39 - t. Let q = -7 + 10. Sort s, 2, q in ascending order.\nAnswer: s, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of u**4\/6 + 1883*u. Let z(c) = -2*c**2 + 73 + 4*c**2 + 0*c**2. Determine k(z(w)).\nAnswer: 8*w**4 + 584*w**2 + 10658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4, i: 1, x: 2}. Give prob of picking 3 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 8*v + 4*v - 13*v - 6. Determine s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.9998 + 7. What is s rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 61808\/7 + (-82)\/7 + 12. Suppose j = -31*d + 36*d - 5*m, -3*d + 2*m = -5294. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2219084 - 5*x**2 + 3*x**2 + 2219084.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 - 18*f + 17. What is the units digit of j(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiaamimimii. What is prob of sequence ia?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -432, -1753, -3970, -7095, -11140?\n\"Answer: -2*q**3 - 436*q**2 + q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 635180182.\nAnswer: 2, 7, 13, 1039, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.36 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1649056765.\nAnswer: 5, 329811353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.81 - -0.19. What is the closest to -2 in 2\/9, -3\/5, h?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9043, -18087, -27131?\n\"Answer: -9044*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 3*i**3 + 5*i - 91. Let x(o) be the first derivative of o**4\/4 + o**2 - 30*o + 9. Let j(d) = 8*x(d) - 3*z(d). What is the units digit of j(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 PM and 7:12 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - (3 - -1) - (-6 + 0). Suppose 4*l = -5*j + 8 + 13, -j = -l - h. Is -2 + l + 3\/((-3)\/(-119)) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 10) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/15  (b) -5497  (c) 200\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(72))**2 - sqrt(72) - (sqrt(72)\/sqrt(4))\/sqrt(9)) + (-1*sqrt(6)\/sqrt(3) - (sqrt(8) + 0)).\nAnswer: 2*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000000405662 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, j: 2, e: 3, x: 1, y: 3, n: 1}. What is prob of picking 1 y and 2 e?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z**4\/7 - 14643*z**3\/7 - 12999465*z**2\/7 + 1806122721*z + 14566764744 = 0. What is z?\nAnswer: -2723, -8, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 + 540*d + 56545. Determine l(-142).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2685 less than 0.088?\nAnswer: 0.3565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*f**2 + 2*f - 14*f**2 + 8 - 2*f.\nAnswer: 41*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -175646 - 87?\nAnswer: -175711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (2 + sqrt(192) + sqrt(192))**2.\nAnswer: 64*sqrt(3) + 767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from {r: 1, i: 1, x: 1, w: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -137510.77 to the nearest 1000.\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 58615\/(-1425) + 22\/(-330)*4\/(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8051.17444 rounded to the nearest ten?\nAnswer: -8050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 + 14*u - 23. Let o = -6529 - -6541. Give m(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -4*x + 120. Suppose 27 = 3*t - x. What is the remainder when (-2)\/3 + (-294)\/(-9) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k + 1. Let m(h) = -18*h + 14. Suppose 16*a - 322 = 2*a. Suppose a*o = 18*o + 60. What is o*u(f) - m(f)?\nAnswer: 6*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 13*v - 1. Let m be x(1). Let g = m + -35\/3. Let y = 0.2 - -0.3. Which is the second smallest value?  (a) 0.4  (b) g  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 349179.2 years in millennia?\nAnswer: 349.1792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -9*b. Let l be v(3). Let h(m) = -2*m - 14. Let n be h(-28). Let i = l + n. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5332 - 5276) + 1 + -67\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11531394 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1081 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 - 2*j**2 - 13*j + 3*j**3 + 16*j - 1. Suppose 1 = -2*u + 5. What are the prime factors of m(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10*(-6)\/(-36))\/((-1)\/(-6)). What is the nearest to 1 in -0.4, 5, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3470 is divided by 297.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10790567 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*u + 64*u = 197*u + 528 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16 + 11 + 6 + 2*q)*(0 + 0 - q).\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -231590.52 - 45.\nAnswer: -231635.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/19 + 204480*a\/19 - 40565448\/19.\nAnswer: 2*(a - 198)*(a + 102438)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -3045*p + 566407. Calculate g(186).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of x**8\/672 - 3*x**7\/140 + 3*x**6\/40 + x**5\/30 - x**4\/2 - 72*x**2 - 10*x. Factor f(d).\nAnswer: d*(d - 6)*(d - 2)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -69 - -76 - (-9 + 6 - (2 + 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14756575?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -49, 239, -3\/5, 0.546?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 4) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c**2 - 1 + 1)*(2*c**2 - 2*c**2 + 2*c**2) - 77*c**3 + 77*c**3 - 5*c**4.\nAnswer: -11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 10:15 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 36 - 16. Let a = 32 - z. Let u = 21 - a. Solve -u*x + 8 = c, -3 = c - 3*x - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2916759 and -2916758 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 502 = 5*g. Let o = g + -6. Let w be (-6)\/33 + o\/22. Solve -w*y + 6 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -108605840, -217211680, -325817522, -434423366, -543029212?\n\"Answer: -b**2 - 108605837*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**2. Let k(x) = -36*x + 8. Give k(a(r)).\nAnswer: -72*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 202*y**3 - 4*y**2 - 3*y + 5. Let p be t(2). Let q = p - 869. What is q rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 165 = -11*r. Calculate the remainder when 19 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -27338180814.9853 - -27340040681. Let z = m - 1860233. Let p = z + 367. Round p to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p + 22 = -5*p + 3*k + 10, -4*k + 5*k + 9 = 6*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - (5 + -5 + 37)) + (2 - -12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -4  (b) -0.1  (c) 2\/11  (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 135280 and 6384.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 220 + 2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39562, -39416, -39272, -39130, -38990?\nAnswer: -38852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -123924, -123922, -123920, -123918, -123916, -123914?\nAnswer: -123912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 + 10*n - 10. Let p be 0 + 10 + (-2)\/1. Let g be k(p). Is ((-56)\/12)\/(g\/(-369)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9 * -0.017.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 6154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -61, -1 in descending order.\nAnswer: 19, -1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = -2*u + 28, 7886*j - 72 = 7882*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(27) + -1)**2.\nAnswer: -36*sqrt(3) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1 + -0.4. Let l = -2.6 + -0.4. Let f = -3 - l. Sort 0.4, d, f.\nAnswer: d, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q - 2376 = 10*q. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 126160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 + -1)*(2 - 0). Suppose 4*j - 7*j + 9 = 0. Suppose -2*z = j*z - 2*c - 57, c = h. What is the remainder when 35 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 - f**2 + 3*f - 4. Let t be j(-3). Suppose z = -5*n + 25, t*z + 0*z = -2*n + 125. Solve -5*d + z = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10100001101101001000 (base 2) to base 11.\nAnswer: 4126a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-168)\/(-7) + 13 + -12. Solve 3*h + 5 = 2*n, 5*n - a = -8*h + 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(-8)*2*20\/(-120).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 6*h - 413. Let k = h - 32. Let u be (-8)\/20 + (k\/10)\/1. Solve -20 = -u*j, 0*j + j = 3*t + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.163481729 take away 0.4?\nAnswer: -0.563481729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4183 + -2820. What are the prime factors of a?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -8) + 60 + -74\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6223176 a multiple of 1047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 38 and 2 - 3\/((-12)\/32)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 24520, 98059, 220624, 392215, 612832, 882475, 1201144?\n\"Answer: 24513*a**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 45497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61, -101, -141, -181, -221, -261?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4568868*x**2 - 1522957*x**2 - 1522952*x**2 - 1522955*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 4*o**4 + 2680*o**3 + 468928*o**2 + 431880*o - 3686603076 = 0.\nAnswer: -377, -183, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -104.4 - -104.8. Suppose 0*o + 78 = 3*o. Let p be (8\/6)\/(o\/3). What is the nearest to -8 in x, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 422*m**4 + 960*m + 1242620?\nAnswer: 1688*m**3 + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 652695932 to the nearest integer?\nAnswer: 25548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*o - 185 + 42 = -152*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 889 and 3302?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -3*b + 897, 597 = 13*b - 11*b - 3*q. Calculate the remainder when b is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by 400085.\nAnswer: 13\/400085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 y when three letters picked without replacement from tsyddnssydnssst.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2235 (base 8) to base 12\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -4*o**2 - 57*o - 11. Let p be k(-13). Let m be 21\/49 + (-3)\/((-21)\/(-353)). Let x = p + m. Solve 2*u = x - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -2044?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1066082 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 28\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -377645*d*m*r + 74*m*r - 4*m + 880*r + 2 wrt d?\nAnswer: -377645*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 0 = -2*w. Suppose -2*m + o = 5, 4*m - 5 = -4*o + w*o. Let f = -2\/61 + 109\/1464. Are m and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 16 = 0, -5*t + 32680 = -3*t - 3*w. Is t - (6 + (-9)\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-11) + 159\/(-33). Let p = 7 + r. Let b be ((-3)\/(-66))\/(p\/8). Is b < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -15. Let l(c) = c**3 - 4*c**2 - 6*c + 7. Let r be l(u). Let k(h) = -h**3 + 3*h + 1 - 2*h**r + 0*h**2 + 3*h**2. Determine k(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of 5*b**4\/12 - b**3\/2 + 5179*b**2 + 2*b. Let d be 3\/(-5)*(-2 + -3). Let y(g) = 21*g - 7. Give d*y(k) - 7*f(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 343295411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6144970?\nAnswer: 2, 5, 13, 47269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of 484999*h**6\/120 + h**5\/20 - h**4\/8 + h**3\/3 - 10*h**2. Let v be i(2). What is v rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i + 12*i + 9 = 0. Is (-37)\/(2 - (i + 6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -3505*l + 31549. Calculate y(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-42))\/((-72)\/56)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 932718 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4393504.7 rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 261 + 1202?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*y = -42*y - 46*y - 663 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 663 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -0.104444781?\nAnswer: -0.204444781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000046852138 rounded to 6 decimal places?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 125*n**3 + 12*n**5 - 125*n**3 + (0*n**4 + n**4 - 3*n**4 + (0*n**3 + 0*n**3 - 2*n**3)*(2 + 2*n - 2))*(-426 + 426 - 99*n) + 2*n**5 - 6*n**5 - 2*n**5.\nAnswer: 600*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 48\/(-70) - 20\/(-70). What is the nearest to n in 1\/7, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2809170777 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: Let l(s) = -4*s**3 + s**2 - 1. Let z be l(-1). Let x(g) be the first derivative of g**4\/4 - g**3 - g**2\/2 - 136. Let h be x(3). Put 3, h, z in decreasing order.\nAnswer: z, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(8\/(-24) - 1). Let l(d) = 5*d - 5. Let c(u) = -4*u + 6. Let y(h) = 6*c(h) + 5*l(h). Let o be y(-8). Is a at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4}. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((r\/(r**(-2\/3)\/r))\/r))\/(r*r**(3\/8)))**(-34) assuming r is positive.\nAnswer: r**(833\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/54329 and 14\/24695.\nAnswer: 271645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of -q**3\/6 + 3*q**2 - 108*q + 1. Suppose 52 = -3*w - 10*w. Determine z(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 284857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -55 + 0?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 3*u - 6. Let z(h) = -h**2 + 14*h - 10. Let c be z(12). Suppose c*d - 16*d = 0. Solve 12 = -d*k + u*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 696 - 481. Calculate the highest common factor of 86 and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 15, -0.4, -0.29, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1124951?\nAnswer: 1124951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*j**4 - 9720*j**3 - 125850*j**2 + 9720*j + 125853 = 0. Calculate j.\nAnswer: -3227, -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 20879 divided by -1?\nAnswer: -20879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together 321813 and -0.4.\nAnswer: 321812.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7416*m + 7422*m - 24. Let x(h) = h**3 - 3*h**2 + 2*h - 1. Let a be x(3). Solve -j - c = m, a*j + 0*j - 2*c - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25613687261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 39494509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 14 = -9*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -3 + sqrt(700) + -5.\nAnswer: -8 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhhhhzhhhh. What is prob of picking 1 z and 2 h?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -131 - -131. Which is the third biggest value?  (a) r  (b) 2  (c) 2\/5  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*f**3 - 6*f**3 + 13*f + 5*f wrt f?\nAnswer: -60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 58\/(-377) + 8*(-30)\/(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 3 + (2 - 4) + 38 + -26?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 274 a factor of 2934965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1659 divided by 237.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i + 13 - 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of s**5\/20 + s**4 + s**3\/6 + 8*s**2 - 24*s. Is 2 a factor of t(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -6*h**2 + 5*h**2 - 1 + 10*h - 6*h - 7. Let w be m(3). Let g be 4\/((-16)\/(-564)) + (-20)\/w. What is the highest common factor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1032266 micrometers to kilometers.\nAnswer: 0.0000000001032266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9443*q**4 - 2*q**3 - 2296*q**2 + 38152390*q?\nAnswer: 113316*q**2 - 12*q - 4592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 11 - 11 = 0. Solve 466*n - 463*n = w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - 3. Suppose 19 = p*n - 2*n + 2*j, 0 = 3*j - 3. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 568233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y - 8*y + 3*y + 6*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 5  (b) -1  (c) -227\/153  (d) -0.4  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/29, -1\/7, -0.2, -0.01, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 28567 bigger than 28567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j**3 - 525 + 1047 - 522.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7065976?\nAnswer: 2, 883247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x**3 + 222*x**2 + 208*x - 843. Determine j(-73).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 246*c**2 + 2*c. Let q(t) be the third derivative of t**5\/30 + 172*t**2. What is h(q(d))?\nAnswer: 984*d**4 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 527203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - 43?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1319604 and 18564?\nAnswer: 157032876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, 670, -2.53, -4?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 3, -3, 24, 8, -494 in ascending order.\nAnswer: -494, -9, -3, 3, 8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -23*w**3 + 17*w**2 + w - 5. Let d(h) = -4*h**3 + 3*h**2 - 1. Let c(z) = 34*d(z) - 6*k(z). Factor c(u).\nAnswer: 2*(u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 1 = -5*l. What is the third biggest value in 0.5, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1767 + 1768. Let x be (4\/12)\/((-10)\/(-3)). Let s = 7 - 6.7. Which is the closest to h?  (a) -0.1  (b) x  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -0.2  (b) -1\/2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 7:06 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -2. Suppose -4*d + p + 5 = -0*p, o = -2*d + 3*p - 5. Let c(f) be the first derivative of -f**2\/2 - f + 390. Calculate c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -19, -0.2, 1.4, -4, 0.037, -12\/7?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15986075389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152 is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-2))\/((-238)\/102)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i - i - 4*i)*(-13*i - 109 + 109)*(i + 2*i - 5*i).\nAnswer: -78*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -691679\/24 < -28820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -l. Let f = 376 + -372. Solve -4 = -f*t - l*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3687883631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2\/((-16)\/(-162760)))\/1 + 12\/(-2).\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.4 - -0.3. Let x = -632.1 - -671. Let m = x - 39. Is m at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.4, 0, 4536\/155, -1\/8, 1\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 AM and 4:04 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 9*j = 3*o - 30, 5*j = 3*o. Which is smaller: j or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 168 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -162 - -108. Is -54 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 8*o. Let f(j) = 2*j**2 + 1795621*j. Calculate f(s(t)).\nAnswer: 128*t**2 + 14364968*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22278, -22277, -22276, -22275?\nAnswer: -22274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/12045 and 41\/435287685.\nAnswer: 4788164535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, x: 3}. Give prob of sequence eeee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2*k = 8, k - 32 = 2*r. Calculate the common denominator of (1\/5)\/(18\/915) and (-381)\/r - (3 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1121090180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -564, -441, -224, 87, 492, 991?\n\"Answer: 47*c**2 - 18*c - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 428408.\nAnswer: 2, 53551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of -m**4\/24 - m**3 + 10*m**2. Let a be l(-10). Suppose -22 = -a*o + 2. Solve 0 = 2*f + 4*k + 6, 15 = -4*f - o*k + k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3820 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 5*n + 2. Let c(v) = 11*v + 3. Let f(h) = 4*c(h) - 9*r(h). Let a(t) = -2*t + 1. Let p be a(3). Let k(b) = b - 2 + 1 + 6. Give p*f(l) - 6*k(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/15, -0.2, -1012 in increasing order.\nAnswer: -1012, -0.2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51507 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 382669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 5  (b) 0.4  (c) 17\/40520  (d) 3  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -5, -121, -47, 4 in decreasing order.\nAnswer: 4, 2, -1, -5, -47, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14986 - -22624. Let z = 5138 - i. What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 4)*(1922*p - p**4 - 1922*p - 125*p**5).\nAnswer: -125*p**5 - p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + 0\/(-12) + 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -5  (b) -151  (c) 0  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -33 + 35. Which is the second smallest value?  (a) j  (b) -0.6  (c) -0.2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 7 = -5*a. Let g = a + 29. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 561572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0564786 and -0.2.\nAnswer: 0.01129572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.8 - -11.8. Let y = 57 - t. Let d = y - 51. Which is the nearest to 2\/9?  (a) -2\/7  (b) -1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 207261872 and 1264.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -41.46868?\nAnswer: -16.587472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 8251364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 0*g**4 - 4\/21*g**7 + 1\/10*g**5 - 75*g + 0*g**2 + 0*g**6 + 0 - 46\/3*g**3. What is the second derivative of f(x) wrt x?\nAnswer: -160*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(4\/3)*s*s**(-2\/27))\/((s\/(s\/(s\/s**(-11))))\/s*s\/s**(7\/3)) assuming s is positive.\nAnswer: s**(-245\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -70708.902 to the nearest 100.\nAnswer: -70700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -2*r + 11, -1 - 6 = -r - 3*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a + 1. Let l(n) be the third derivative of n**4\/4 - 121*n**3\/6 + 4*n**2 - 34. Let s(d) be the first derivative of l(d). What is 6*k(b) - s(b)?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 + 120*o**2 - 115*o + 1423. What is t(119)?\nAnswer: 1899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 5*o - 11, 4*q + 5*o = o + 4. Solve -6*u + u + m + 26 = 0, q*u = -m + 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2290458613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - 10*r + 2. Let c be u(-10). Find the second derivative of 3*q**2 - 5*q**c - 2*q - q wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13843652191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, d: 3, i: 6, f: 2, m: 3}. Give prob of sequence imd.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -130*s - 20*s**3 - 158*s + 288*s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 745 and 101320.\nAnswer: 101320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - -1 - (0 - 6). Suppose -3*c + 4 + i = 0. Suppose n + 520015 = -c*k, -2*n - 1040025 = 7*k - 2*k. Round n to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-6))\/((-32)\/216).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -5)\/(798\/(-28)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 487 in -1\/12, 4, -0.7, 2, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 - 5*n + 5. Let c(p) = -2*p**2 - 5*p + 6. Let d(a) = -2*c(a) + 3*o(a). Let r be d(5). Suppose -3*j + 13 = 1. Is j < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133202 is divided by 674?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1575 and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of -f**2\/2 + 63*f - 9112. What is y(13)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -159, -158, -157, -156, -155?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 + 17. Let l = m + -5. Suppose 3*h = -l*h + 20. What is the lowest common multiple of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11110021 (base 3) in base 5?\nAnswer: 100442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 3:49 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 206146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 608.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-24)\/30*5)\/(-2). Solve w*z - 5 = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from iuzsuissztzutt.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 1, 2, 55 in decreasing order.\nAnswer: 55, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3497318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*i + 13*i = 186. Let u be (9\/(-12) - 4\/(-16))*-310. Let n be i\/u - (-26)\/10. Solve -n = -3*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2413, 4825, 7237, 9649, 12061?\nAnswer: 14473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 143 + -4718\/33. Let t = z + -386\/33. Which is greater: t or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/12258 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -6*o**3 + 28*o**2 + 722*o + 34. Let d(j) = 2*j**3 - 10*j**2 - 240*j - 12. Calculate 14*d(u) + 5*t(u).\nAnswer: -2*u**3 + 250*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -104 + 104. Suppose 5*u = 3*p + 61, 3*u + 3*p = -n*u + 51. What is the greatest common divisor of 378 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 + -5)\/(-1 - 2). Let b = 332 + -332.456. Let s = 0.156 + b. What is the biggest value in s, a, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q**(1\/5)\/q*q)*q)**(-9) assuming q is positive.\nAnswer: q**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 106291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iizuuiiiii. Give prob of sequence iui.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = -83*m + 81*m - 22, -4*m + o = 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 1)*1695\/(-791)*7\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 + 3*u + 4. Let h be g(-4). Suppose -5*w = -a + 59 - 40, -4*a + 10 = 2*w. Suppose a*x - 4 = h. Solve 5 = -5*f - 0, -4*i - 3*f = x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 103 + -29. Suppose -i - 158 = -4*z, 2*z - 2*i = 8 + d. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 2.32959.\nAnswer: 0.698877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 7 - 2 = 0. Suppose -5*b + b = -4*t + 108, 5*b = -4*t + 126. Solve -4*v = i*o - t, v + 7 = o + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**5\/13 - 424*s**4\/13 + 23708*s**3\/13 - 131024*s**2\/13 + 192610*s\/13 - 84872\/13 = 0. Calculate s.\nAnswer: 1, 4, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d**2 - 286*d + 1066. Calculate p(4).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 18\/5 smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13239 + 14224. List the prime factors of h.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-21)*1*(-7)\/10*5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 4, -11, 0.4, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4*(-131)\/(-10)*(0 - 5). Let d = w - 262. Solve d = p - 5 + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -6272, 45, 2, 5.\nAnswer: -6272, -2, 2, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 65893305 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -103 at most as big as 1041676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (33*a + 33 - 33)*(-19*a**3 + 62*a**3 + 18*a**3) - a**4 + 0*a**4 + 2*a**4 as k*a**3 + b + t*a + p*a**2 + j*a**4 and give j.\nAnswer: 2014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 8:46 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -24\/437 and 51\/3151?\nAnswer: 59869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (10730\/6 + -1)\/(36\/54) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10133, 10135, 10139, 10145, 10153, 10163?\nAnswer: 10175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-5) + (-1188)\/(-60). Let v be (8\/(-260))\/(2 + 552\/x). Let j = 4090\/1443 + v. Calculate the common denominator of j and 125\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22019 is divided by 151.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1404)*-1 + sqrt(1404))*4 - sqrt(1404)*-2*6)\/(-1*(sqrt(108) - -5*-2*sqrt(108))).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 113377386 to the power of 1\/2, to the nearest integer?\nAnswer: 10648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i + 3*i - 6*i + 18*i**3 + 1.\nAnswer: 18*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 566 + 1609. List the prime factors of o.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14565179.1220533 - 14565178. Let q = s - 1.122. Round q to six decimal places.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 21*j + 8)*(1 - 4 + 6) + (1 - 2 - 1)*(2*j - 4 + 4).\nAnswer: 59*j + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 4*f + 5. Let v be j(-4). Let b = v - -21. Let n = -19 + 47. Calculate the remainder when n is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99116720?\nAnswer: 2, 5, 43, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18144 + -18138. Solve 4*g = -66*o + 68*o + 18, g = -o + x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -82 - -92. Suppose -v = -0 - 2. Sort v, t, 4 in decreasing order.\nAnswer: t, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 19 in 4\/15, 2, 0, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**4\/3 + 68506*p**3\/3 + 137018*p**2\/3 + 68510*p\/3 = 0.\nAnswer: -1, 0, 34255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156*x - 662 - 4018 = 0 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + o - 156 = 0. Let u = o - -49. Calculate the least common multiple of u and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -18*r - 16. Let c be s(-8). Suppose -17*t - c = -49*t. Solve -2*x + 28 = 2*x + 5*v, v - t = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.482, -0.15, -1, 0.3, 16.\nAnswer: -1, -0.482, -0.15, 0.3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -21514431 (base 6) in base 16?\nAnswer: -9e233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*w = -1799 + 1836 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 124 = 2*u - 0*w, 62 = -u - 2*w. Let y = -58 - u. Suppose 0 = -0*k + y*k - 28. Calculate the greatest common factor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l + 50 = -2*l. Suppose 2*x = -3*x + l. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8.3 + 8. Let p = f - 0. Which is the third biggest value?  (a) 2  (b) p  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m**3 - 19*m**2 - 33*m + 284. Determine t(10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**2*m**3*y**3 - 2*b**2*m**3*y**2 + 6*b**2*m*y**2 + 3*b**2*m*y + 433*m**2*y**3 - 2*m*y**2 wrt y?\nAnswer: -12*b**2*m**3 + 2598*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 17. Which is greater: -13 or w?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -3*m**2 + 77*m + 22. Let h be z(26). Which is the second smallest value?  (a) h  (b) -0.12  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 AM and 3:21 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35 and 32557?\nAnswer: 162785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7856.6 and 14.\nAnswer: 109992.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29 - (-43 - 7)) + 10 + -77 + -3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 6. Suppose -5*y - 14 = -24. Solve -y*l - 2*u + n = 0, 2*u + 5 - 1 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ror when three letters picked without replacement from orhr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 - 204. Let f be n(33). Solve -f = -5*z - 880 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44923 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/28 and 3\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -8*a + 3. Let w be o(-3). Suppose -l - 7 = -w. Calculate the smallest common multiple of l and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 77 + -141 - (1 + -113)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -51*k**2\/5 - 147*k\/5 + 18\/5 = 0.\nAnswer: -3, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11 and 96329.\nAnswer: 1059619","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/3)\/j)**(30\/7)*j\/((j\/(j\/j**(2\/19)))\/j)*j*j**(4\/5) assuming j is positive.\nAnswer: j**(-2293\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 + 36\/8)*3*4. Is (186\/i)\/(1\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -48*l - 6006. Determine x(-122).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 + 1)*(7*a**3 - 2*a**3 - 16*a**3)*(-3 + 1 + 0).\nAnswer: 88*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 4*u = -103, -3*u = 40120*k - 40125*k - 101 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39231 - -1569333\/40. Calculate the common denominator of ((-145)\/(-150))\/(6\/(-4)) and j.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-24605)\/(-1225) - 28 - (-1 + -7))*50*-14\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/423780 and 109\/30270.\nAnswer: 423780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.518 + -0.218. Let u = b - 2.587. Round u to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttrt when four letters picked without replacement from {r: 4, t: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 181965236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23\/42 + 1\/21. Let b = -13\/76 + 8\/19. What is the closest to -2 in b, 1\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.6 and 2.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -55 - -129. What is the remainder when q is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15459*k + 15451*k + k**5 + k**5 + (0*k + 3*k - k)*(k**4 + 0*k**4 + k**4).\nAnswer: 6*k**5 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*n - 53*n - 63*n + 5 - 5 - 3*n + (-2 + 3 + 0)*(-n + 3*n + 0*n) + (1 - 1 + 1)*(4 + 2*n - 4) - 2 + n + 2 - 2*n + n - n.\nAnswer: -125*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7 and 72.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (5 - 7 - -3)) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f + 5. Let o(k) = 80*k - 1817. Let j(l) = 10*l - 218. Let r(w) = -50*j(w) + 6*o(w). Determine r(d(i)).\nAnswer: 20*i - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of -4 + 0*j**3 + 0*j**2 - 4*j + 0*j**4 + 8\/5*j**5. Differentiate t(k) with respect to k.\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 5*f + 12 = 3*z, 2*z + 2*f - 8 = 0. Solve 0 = -4*n + 24 - z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 5 + -3*(sqrt(448) + -1 + sqrt(448)) + 2 + -1)**2.\nAnswer: -864*sqrt(7) + 16209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 5163752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 306 divided by -5\nAnswer: -306\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (56\/35)\/(2\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.08  (b) -31  (c) -1  (d) -1039  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, z: 9}. Give prob of sequence zz.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of q**10\/60480 - q**8\/6720 + q**6\/1440 - q**4\/4 - 3*q. Let i(v) be the third derivative of r(v). Factor i(t).\nAnswer: t*(t - 1)**2*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 2*m, -m = 4*c + 2 - 15. Suppose 69 = 3*q - 3*g, 7*g + 90 = 4*q + c*g. Suppose d = -q + 145. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a7 (base 12) to base 6.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 34467725 from 2.8.\nAnswer: -34467722.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 34*a + 9. Let m be i(9). Let v = m - 315. Solve v = -2*y - 3*h - 10, 3*y + 6*h - 2*h + 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**1)**33\/((z*z\/(z*z**(-3\/5)))\/(z*z**2)))**17 assuming z is positive.\nAnswer: z**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of a**6\/120 - a**5\/20 - 5*a**4\/24 + a**3\/3 - a**2. Let p be h(5). Let k = p - 18. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n - 62*n**2 + 22*n**2 + 48*n**2 + 20*n**2.\nAnswer: 28*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 422, 440, 460, 482, 506?\n\"Answer: i**2 + 15*i + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k - 3*k + 6*k)*(9 + 31 - 12 + (3 - 1 - 4)*(-1 + 1 - 1)).\nAnswer: 180*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1460049?\nAnswer: 3, 486683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 2*d - 3*d - 28 = 0, -24 = 3*r + 3*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r**(-13)*r\/(r**33*r) assuming r is positive.\nAnswer: r**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 16 = -25. Let f be 5 - g - (-11 + 1). Differentiate -19 + 15 + 2*n + f*n**2 - 2*n with respect to n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*q = -14*q - 2*x + 6, 4*q - x - 9 = 0. Let r be (2\/(-3))\/((-4)\/18). Solve r*s + 3*m - 4*m - 2 = 0, 3*s - 2*m = -q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 3 - 7. Calculate the smallest common multiple of n and 4 - 0*(2 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 0.29, 21, -3\/7?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 903 - 887. Solve 4 - v = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 4*c**3 + 6*c**2 + 4 - c - 5*c**3 - 2*c**2. Let m be i(4). Suppose -5*o + 13 + 37 = m. Solve 4*v + 4 - o = -3*y, 3*v = -4*y + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3  (b) 20  (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5173*a**3 + 5175*a**3 + 567*a**2 - 15*a - 25*a**4 + 2 - 568*a**2 to the form q + r*a + m*a**4 + t*a**3 + b*a**2 and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2128 is divided by 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4*(-10)\/45*(-3)\/82. Let g = 298\/1599 + v. Solve -8\/13*b + 0 + g*b**2 = 0 for b.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 AM and 8:54 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -4*c + 9, 40 = 3*c + 5*j + 16. Let k(q) be the third derivative of 1\/60*q**5 + 0*q + 0 + 2*q**2 - 2\/3*q**c + 0*q**4. Calculate k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19 - 8) + -41 + 28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (6 + -9 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*b - 0*b. Suppose -30*p + 633 = -33*p. Let y = 210 + p. Sort 0, y, 3, b.\nAnswer: y, 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 times -326809?\nAnswer: 12091933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53 + 39. Let d(s) = 2*s**2 + 28*s + 27. What is the lowest common multiple of 18 and d(m)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, -4, 8, -3 in decreasing order.\nAnswer: 8, 5, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -473, -1072, -2075, -3482, -5293, -7508?\n\"Answer: -202*i**2 + 7*i - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3819.4 + -3819. Suppose -5*y - 4*d + 8 = 2, 5*y - d = -14. Let z = -34 + 12. Which is the smallest value?  (a) z  (b) f  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 2:34 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 6652000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.22?  (a) -2\/5  (b) -0.3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -2*p**4 - 1357286*p**3 + 5429166*p**2 - 6786466*p + 2714588 = 0.\nAnswer: -678647, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33 - 63. Suppose 14*b - 24 = 6*b. What is the remainder when 1\/b + 32\/(-36)*l is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, g: 15}. What is prob of picking 3 k?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 times 3\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -2. Suppose -3*t - 31 = -4*j, -21 + 3 = 2*t - 2*j. Let a(f) = -f - 3. Let l be a(t). Solve p + 8 = -2*r - 0*r, k*r = l*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**4\/3 - 8*o**3\/3 - 7*o**2\/3 = 0. Calculate o.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, j: 2, w: 5, g: 4, l: 5}. What is prob of picking 2 g and 1 a?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Divide 153009 by 6219.\nAnswer: 17001\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -80 + -7 + (-19 - -40) + 12\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 31101795?\nAnswer: 62203590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 5) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 15*j**3 + j. Give k(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 92.7 + -90. Let d = w + -2.6. Which is the closest to d?  (a) 2\/9  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10.8 - -10. Let q = r - -0.4. Let s = -0.2 - -0.1. Sort -0.3, s, q in decreasing order.\nAnswer: s, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4604, 4613, 4622?\n\"Answer: 9*i + 4595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 8*r - 3*r = -48, 3 = c + r. Solve -50 = -c*a - 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -60 + 10. Let f = 57 + b. What is the highest common factor of f and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24462 = 15*o - 24*o. Let c be (-6)\/(-15) - o\/(-30). Let n = -87 + c. Solve g + 11 = n*w, -4*w + 1 = g - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 408.1876 hours to minutes.\nAnswer: 24491.256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/30 and -113\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k + 0*k = -91. Solve 2*j - k*s + 2*s = -8, 6 = -4*j + 5*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 882 and 1176.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -253, -578, -903, -1228?\nAnswer: -1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27912\/461 at most as big as -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 34*p - 334. Suppose -414*s + 410*s + 192 = 0. What is the thousands digit of r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 130138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12112 is divided by 810?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -5*j**3 - j**2 - 17*j + 2. What is the tens digit of v(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 7850  (b) 0.8  (c) 10  (d) -0.3  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m**3 + 3*m + 2. Let r be (-28)\/12 + 1\/3. Calculate the remainder when y(r) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/2360 and 63\/2517176.\nAnswer: 12585880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (18 - 18 + 5*k)*(4365*k - 15980*k + 4759*k - 19769*k) to the form a + x*k + f*k**2 and give f.\nAnswer: -133125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1372269491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192*z + 5*z = -2435 - 914 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -4*o. Let m be ((-6)\/18)\/(2\/30). Let g(s) = 2*s + 1 - 1. Let y(c) = 3*c. Let j(a) = 10*g(a) - 6*y(a). Calculate m*j(v) - 3*d(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43906.\nAnswer: 2, 29, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 4*t**2 + 5*t - 12. Let j be s(5). Let v(x) = -x**2 - 16*x + 8. List the prime factors of v(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*n**2 + 7 - 7.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*d + 6 + 62 = -34. Let n(u) be the first derivative of 10\/9*u**d - 33 - 13\/3*u**2 - 4*u. Factor n(v).\nAnswer: 2*(v - 3)*(5*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 574*v + 511*v - 1600*v + 510*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -321712*a*y**3 + 233861*a wrt y.\nAnswer: -965136*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 597\/35 + 136\/(-2380).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-33)\/(-396))\/((-2)\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13697332 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -50 - -115. Suppose 2*u + 0*u = n + s, 3*n = -5*u + 135. Let d be -2 - (u\/(-153) - (-8)\/12). Is d at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 731 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -5*z - 1 - 2*z + 15 + z**2. Suppose 7*g - 8 = 2*d + 2*g, 5*g - 32 = -2*d. List the prime factors of s(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-14)\/(-3)*(58558\/4 - -11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -41c + -13?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:30 PM and 10:03 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1070065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/110 and -57\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.43 - 0.03. Which is the nearest to 1?  (a) 4  (b) t  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 8*g**2 - 6*g - 4. What is a(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-32)\/(-18) + 4\/18. Let o = l + -4. Which is the nearest to o?  (a) -2\/15  (b) 0  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3591, 14940, 33865, 60372, 94467?\nAnswer: 136156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(20) + sqrt(40)\/sqrt(2)))\/(sqrt(196)*-3))**2.\nAnswer: 20\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/1140662 and 21\/4?\nAnswer: 2281324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/4  (b) -1649255  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2012120 (base 4) to base 10.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 divided by -269.\nAnswer: -19\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 greater than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53 + 241 - w**2 - 130 - 58.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (30\/40)\/((-2)\/(-8)). Let m(f) = -3*f**3 - f**2 - f + 10. Let d(p) = p**3 - 3. Let u(a) = -7*d(a) - 2*m(a). Calculate u(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -100*a**3 - 324*a**2 - 72*a.\nAnswer: -4*a*(a + 3)*(25*a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 756, 759, 762, 765, 768?\n\"Answer: 3*s + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 8*z**3 + 4*z**2 + 5*z + 5. Determine u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 125691285 to the nearest integer?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34619248 divided by -2.\nAnswer: -17309624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 272 and 0.16957.\nAnswer: 46.12304","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: 1152*4\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uoeone. What is prob of picking 1 o and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/7)\/(1026\/(-1881)*4\/(-112))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8731.\nAnswer: 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2485691377 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-60)\/50*160\/(-3). Suppose 5*r = 4*a - f, -r - 2*r - 12 = 0. Suppose 3*q - 4*q + 4*o = -2, -4 = -2*q + o. Solve -c + h = 6, -4*c = q*h + h - a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6274, 12547, 18800, 25021, 31198, 37319, 43372, 49345?\nAnswer: 55226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q - 2*k + 8, -3*k - 194 + 208 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that y**5\/2 - 133*y**4 - 276*y**3 + 2143*y**2 + 551*y\/2 - 2010 = 0.\nAnswer: -5, -1, 1, 3, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 11:22 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/2)\/(1 + (-1)\/2). Let m be j\/(-2) + (-4)\/664*79. Let x = m - 208\/1743. Are x and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 6*h**2 + 6)*(29 + 143 - 19) as c*h + f*h**2 + y and give f.\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 9:14 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(180)*6 + -3 + -3 + 0)*1 + -3)**2.\nAnswer: -648*sqrt(5) + 6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24 + 26. Suppose -12 = 4*d, 0 = -0*o - 2*o - d + 7. Suppose u + m = -u + o, 5*u - 3*m + 15 = 0. Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of 0*l + 0 + 1\/240*l**6 + 1\/120*l**5 + 2*l**2 - 1\/24*l**4 + 0*l**3. Find h, given that i(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 973 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 52373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of -a**6\/720 + 7*a**5\/120 - a**4\/12 + 9*a. Let y(u) be the third derivative of o(u). What is y(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -9 - (3 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 524 + 429 = 0. What are the prime factors of s\/2*6\/15*5?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77 = -25*u + 48 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 8453833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*(d**(1\/2)*d*d)\/d*d)*d\/d**(-2))\/(d**(-1\/4))**(3\/29) assuming d is positive.\nAnswer: d**(61\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*p**3 - 84*p**3 - 16*p + 9*p + 7*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of -t**5\/20 + t**3\/6 + 1817*t**2\/2 + 2*t. Let w = 2562 - 2562. Is g(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 = 3*j - 28. Let y = 68 - j. Solve 4*i + 21 = -w - 0, 5*i + y = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13764 and 169446?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1735 = 348*g - 2924 - 5771 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70870 = 8156*j + 253464 + 107934 for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 6, q: 2, s: 1, o: 3, g: 4}. What is prob of picking 1 o and 2 r?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 10*b**2 - 13*b. Let x be 4\/14 - (3 + 37\/7). Let c be k(x). What is the hundreds digit of 16445\/138 - -2*2\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**4\/6 - 14*r**3\/3 - 199*r**2\/2 - 1064*r\/3 + 1376\/3.\nAnswer: (r - 43)*(r - 1)*(r + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ndwdwwwwwwwwnnw. Give prob of picking 1 d and 2 w.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -795*c + 150204. Give z(189).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(8)\/sqrt(4))**2 + -2)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*x**2 - 12 - 17 + 29 - 3*x**3 wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 25 = 0, 5*y = 3*u + 3 + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 274212.0035 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.86033mg in nanograms?\nAnswer: 51860330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24252, -24254, -24258, -24264?\nAnswer: -24272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*a = -49*a - c + 78, -5*a + 5*c = -90 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(3 + sqrt(1700) + -1))**2 - 2*4*-4*(1*sqrt(17) + sqrt(17)).\nAnswer: 1504*sqrt(17) + 61344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 358.8*4396\nAnswer: 1577284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - 49*x + 127. Determine t(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -1943360\nAnswer: 7\/1943360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 119, 123, 139, 173, 231, 319?\n\"Answer: y**3 - 3*y + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (61090\/(-1788))\/(-16 + 1) - (-10)\/(-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 4 - 0 - -69. Let p = m + -66. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the third derivative of -9\/2*q**3 - 6*q + 1\/60*q**5 + 8*q**2 + 0 - 5\/24*q**4. What is the derivative of i(j) wrt j?\nAnswer: 2*j - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 - 10*f + 4. Let y be c(-10). Solve -k = y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**4 - f**3 + 2. Suppose -7*z - 4 = -3*z. Let w(y) = -48*y**3 - 152*y**2 - 208*y - 88. Let l(c) = z*w(c) + 4*s(c). Suppose l(j) = 0. Calculate j.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**2 + 796876595*f + 265625532 = 0 for f.\nAnswer: -1\/3, 265625532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**2\/(b*b**(-17)*b*b) assuming b is positive.\nAnswer: b**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 51 and 816.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174102 is divided by 657?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -46 + 67. Let c = 20.99999905 - a. What is c rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.05 times 0.5473333\nAnswer: 0.027366665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -436.00004287 - -436. What is v rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4368874?\nAnswer: 2, 859, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 270 - 269. Let r(j) be the first derivative of 29*j**4 - 2*j**3\/3 + 2*j - 6. List the prime factors of r(k).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -3*x - 1\/2*x**2 - 5\/2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*l**3 + 44*l**2 + 2*l + 78077 wrt l?\nAnswer: 27*l**2 + 88*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from ttvtttvtvv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 4*c**2 + 71096*c + 355380 = 0.\nAnswer: -17769, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-26)\/(-4) + -5)*-2 - -4. Put 5, -8, 3, f in descending order.\nAnswer: 5, 3, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2230)\/(-18) - -2*(-4)\/(-36). Let r = s - 124. Let f = 3.6 + -4. What is the second biggest value in -2, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**3\/7 + 10*t**2 + 76*t\/7 - 144\/7 = 0. Calculate t.\nAnswer: -2, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (6 - (1 + -1 + 14))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15287*u + 15047*u - 9360 = 0 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -163, -3, -9, 1\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -182*c + 2357828 - 487050 = 0. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200 is divided by 62.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2338423786 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: Let n(o) be the first derivative of 0*o + 3\/10*o**5 - 2\/3*o**3 - 3\/2*o**2 - 1 + 7\/12*o**4. Let z(i) be the second derivative of n(i). Factor z(j).\nAnswer: 2*(j + 1)*(9*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1361, 2582, 3757, 4886, 5969, 7006?\nAnswer: 7997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1781\/2673 + 1\/2673. Which is the third smallest value?  (a) l  (b) -36  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - 22*c**2 + 76*c + 24. What is s(-25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-1\/6))\/(z\/(z\/z**(1\/5)))*z\/z**(-1\/2)*z**1)**6 assuming z is positive.\nAnswer: z**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ywpw when four letters picked without replacement from wwvyppavpwvwpwwwppp?\nAnswer: 49\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of 13*y**3\/2 - 5*y**2 - 5*y. Let f be m(5). Let j be f\/(-30) - 2\/(-12). Let p(q) = q - 1. What is p(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1462*h = -1468*h - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13909654.\nAnswer: 2, 11, 632257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 266541 from -204540.\nAnswer: -471081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -568*q - 43. Is b(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45\/432*12*1\/(-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 401972693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2778895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.207473 rounded to one dp?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -w**3\/6 + w**2\/2 + 2*w - 18. Let a(p) = 5*p - 1. Determine -a(f) - 2*o(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1499 + 616*a + 1499)*((2 + 1 + 1)*(1 + 0 + 1) + (0 + 1 - 5)*(1 + 2 - 4)).\nAnswer: 7392*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 21*r**2 + 40*r + 5. Let p(j) = 104*j**2 + 208*j + 26. Let d(k) = 26*n(k) - 5*p(k). Let f(a) = -10*a. Give f(d(b)).\nAnswer: -260*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-6)\/(-9))\/(-2) + 12\/(-18). Let l = 10 + -7. Suppose -v - l*v = 0. Which is the second smallest value?  (a) v  (b) 3\/7  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 2*r = 16. Let i = 18 - r. Calculate the highest common factor of i and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v**2 - 6*v**2 + 8*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -27, 356 in decreasing order.\nAnswer: 356, 3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -6*s**2 + 36*s + 6. Let g be x(6). Suppose 124*k + g = 127*k. Solve a = k*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 2\/3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 8267+5792\nAnswer: 14059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2872*b**3*f + 306*b**3 + 8*b**2*f - 7*b**2 - 2*b*f + 85*b + 64 wrt b?\nAnswer: 17232*f + 1836","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -91, -193, -387, -733, -1291, -2121, -3283?\n\"Answer: -10*u**3 + 14*u**2 - 74*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 3 - 10 - (-18 - -13)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1950\/(-500))\/(-39)*((-8)\/(-8))\/(1\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 + 44*s + 411. Calculate d(-16).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -1 + 0 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 44385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 6 - 10. Let v = o - -5. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.15058 - 1.65058. Suppose 4 + 0 = 4*j. Which is the nearest to 2\/3?  (a) d  (b) j  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135403343 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1324 + -1320. Solve -3*j + 0*j - 4*v - 13 = 0, -3*j + o*v = 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -34799, -34132, -33465?\n\"Answer: 667*u - 35466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 944712240 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5342 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/3*36*87\/(-1305).\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1.3  (b) -58.36  (c) -2\/5  (d) 1  (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 14 + -53 - -6 - -53\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 19732 + -3?\nAnswer: 19729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -608, -22, 1 in descending order.\nAnswer: 1, -22, -608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - w**2 + 1. Let l(p) be the second derivative of 3*p**2 + 0*p**3 - 1\/2*p**4 - 78*p + 2\/5*p**5 + 0. Calculate -6*j(n) + l(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 6*m - 15 = 0. Calculate the greatest common divisor of m and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-47908)\/(-57884841)*54\/4\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -39027 and -62754.\nAnswer: -101781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -127402 + 127402 - 65*z**2 - 2*z in the form w*z + y + f*z**2 and give f.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from kdukguuyyusysy?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - -10. Let q(v) = -14*v + 24*v - 2 - 6*v. Let p be q(w). Solve 3*r = p + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*a = -5*q + 70, 33448 = 5*q - 5*a + 33378 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 11. Suppose 3*a - 2*d = 47, o*d + 14 = -2*a + 52. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, r: 2}. Give prob of sequence rrv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-22)\/33 - 15599998\/3. Round r to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 924*w**3 - 99*w**2 + w + 4555374 wrt w.\nAnswer: 2772*w**2 - 198*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5309 > -152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 8 = -x, 5*j + 1 = -4*x + 3. Factor 3*y + 23*y - y**2 - 2*y - y**j - 72.\nAnswer: -2*(y - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13578519?\nAnswer: 3, 37, 149, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 2*w - 141. What is the remainder when w is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - (-17 - 11) - 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7240*d**2 - 1410*d + 1393*d**3 + 7241*d**2 + 9842*d wrt d?\nAnswer: 8358*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1099414 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5059 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1914*x - 1922*x - 3768 = 0. Sort x, 4, -3.\nAnswer: x, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) - (sqrt(147) + sqrt(147) + -1)))*-3*-2*3)**2 - (-4 + 5 + 2 + (sqrt(24)\/sqrt(2) - sqrt(12))**2).\nAnswer: -9072*sqrt(3) + 190833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -i**2\/2 - 4*i + 1. Let b be j(7). Let y = b - -17. Solve 0 = -n + 4*n - y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1104719*q - 1104957*q + 2210049*q.\nAnswer: 373*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7009738 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1830*b*v**3 - b + 2*v**3 - 2*v - 7 wrt v.\nAnswer: 10980*b*v + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 >= 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 3*x + 0 + 67 = 0, -u - 3*x + 19 = 0. Suppose 5*v + 20 = c, 4*v + 5*c = -0*v - u. Sort -5, 1, v in decreasing order.\nAnswer: 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 4*s**2 - 55351*s - 55350. What is y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 10 = 0, 15 + 7 = -4*j + 2*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51*k**2 - 68*k**3 + 37*k**3 - k - 59*k**2 + 28*k**3 - 2*k**4 to w + m*k**2 + y*k**4 + i*k**3 + v*k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 5:35 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-76)\/(-18)*612\/(-969).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 185104, 370228, 555370, 740530, 925708, 1110904, 1296118?\nAnswer: 1481350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from grjypgjo. Give prob of picking 1 y and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (32 + -28)*(-1 + (-2)\/4). What is the third smallest value in 0.2, -1\/4, 5, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 96159 * 1.\nAnswer: 96159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 2573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 914\/7 - 131. Which is the third smallest value?  (a) -1\/4  (b) j  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -3\/5, 466, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, e: 6}. What is prob of sequence jeee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 126\/1061 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4 = -2. Let j(o) be the third derivative of o**6\/120 - o**5\/30 + o**4\/24 + 3*o**2 + 978*o. What is j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 201 - -48b?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -203 - 130. List the prime factors of m.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2654389.\nAnswer: 2654389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 1823*w**2 + 15003*w - 15003*w. Let h(y) = y**2. Determine h(d(m)).\nAnswer: 3323329*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(-1))**(-2\/5)\/(g**(-1\/11)\/(g*(g\/g**(-2\/13))\/g)))**(22\/7))**33 assuming g is positive.\nAnswer: g**(11748\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-57)\/(-3))\/((-5)\/(-10)). Let b = -223 - r. Let w = 369 + b. What is the highest common factor of 27 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(-9)*n**(2\/11))\/(n\/(n*(n**(1\/4)*n)\/n))**(11\/5))**(-3\/19) assuming n is positive.\nAnswer: n**(-7083\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1329439.353 rounded to the nearest one hundred?\nAnswer: 1329400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vkl when three letters picked without replacement from vvgvkvvnuvvggvvvlvvl?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -138002, -137994, -137986, -137978, -137970, -137962?\n\"Answer: 8*i - 138010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, y: 6, p: 8}. Give prob of picking 1 p, 1 a, and 1 y.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 365 - ((-2)\/15 + (-344)\/120). Suppose 5*m - 447 = 4*s, f = 4*m + s + s. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(2\/11))**(1\/40) assuming f is positive.\nAnswer: f**(9\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1425?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5322 + 43450?\nAnswer: 34124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f - 1 + 5*f - 2*f. Calculate the remainder when 4 is divided by i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 2*u - 2267, 3*r - 5 - 4 = 0. List the prime factors of u.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3576, 5 in increasing order.\nAnswer: 2, 5, 3576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 3 - 12 - (5 + -6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 3) + (-2)\/(-7) + 1245\/415?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**5\/6 - 429*k**4\/2 - 51035*k**3\/3 - 1033111*k**2\/3 - 1277129*k\/2 - 1865947\/6 = 0 for k.\nAnswer: -37, -1, 1363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 - -14.9. Which is the third smallest value?  (a) -5  (b) 0.1  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 41270559 and 28435?\nAnswer: 206352795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of -3*r**2\/2 + 3. Let c(b) be the first derivative of -11*b**3\/3 - 1924. Give l(c(f)).\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*i - 71*i + 15 + 0*i**3 + 37*i + 2*i**3 in the form o*i + p*i**3 + l + j*i**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1.3, 5\/2, 2, -0.2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22734 divided by -2526.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9608297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*l - 6 = 0, -2*j - 4*l = -8722. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9\/4, -2\/9, -1.71359.\nAnswer: -9\/4, -1.71359, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o - 1899 + 0*o - o.\nAnswer: 2*o - 1899","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 11, -5, -4, 149?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 165450 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 222871.38 months?\nAnswer: 1857.2615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -5*l**3 + 234*l**2 - 33*l - 29. Is a(43) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - 3*f**2 - 4*f + 1. Let s be k(-3). What is the highest common factor of 65 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48 + -47.8. Let a = -0.34 + -0.06. What is the closest to d in a, -2, 5\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 228*k**2 + 263*k**2 + 22*k**2 - 41*k**2 to u*k**2 + q*k + m and give u.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2096 + -4a3?\nAnswer: -2589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 38453, 38451, 38439, 38411, 38361, 38283?\n\"Answer: -b**3 + b**2 + 2*b + 38451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - ((23 + -4 - -10) + -17)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5*((-87)\/(-15) - 3). Let x be ((-3)\/(-9) - 0)*0. Suppose 6*f = -x + 12. Solve -f*o + 6 = i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 23*c + 70. Let w(l) = 8*l + 23. Give -6*b(x) + 17*w(x).\nAnswer: -2*x - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84 = -4*v + 11*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-12)\/(-8095))\/(674\/35977). Let f = v + -16\/8095. Let h = 20141\/5392 + f. Find the common denominator of 117\/14 and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 781 divided by -977642\nAnswer: -781\/977642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 374 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d. Let h(n) be the first derivative of -907*n**2 + 2766. Determine h(v(t)).\nAnswer: -1814*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1540 less than 0.0436715?\nAnswer: -1539.9563285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {o: 3, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3885612 divided by 1295204?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3143.12341 minus 12?\nAnswer: 3131.12341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*s = 39*s + 5 + 7. Let f(l) = -5*l - 1. Let a be f(5). Let b be (-3 + 2 - s)\/((-1)\/a). Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + t = -20, -o + t - 2 = 0. Suppose 3*y + 10 = 6*y + 4*u, -6 = -2*y - o*u. Solve -y*z + 2*v = 2, -5*v = 3*z + 6 - 27 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -5*t - 2*b, -t + 4*b = -6*t + 32. Suppose -2*y - t = 0, 3*j - 24 = 2*y - 5*y. Let a be (-4 - -3) + j\/6. What is the biggest value in a, 0.1, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -589\/174 + 3\/58. Sort 0.3, k, -1, 5.\nAnswer: k, -1, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/120)\/(((-5590)\/(-1989))\/(-10)) + 2\/(-8)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u**4 - 376*u**3 + 748*u**2 = 0. Calculate u.\nAnswer: 0, 2, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 + 22*h**2 - h + 21. Let j be w(22). Let o = -61 - -237. Let q be 2\/(-8)*o\/(-99). Is q greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 - 10*w**2 + 11*w + 3. What is a(9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*m**3*o**3 + 6*m**3*o**2*r + 99*o**3*r + 569*o**2 wrt o?\nAnswer: -24*m**3 + 594*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1115, -4588, -10465, -18818, -29719, -43240, -59453?\n\"Answer: -12*b**3 - 1130*b**2 + b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooggoqogqxc. What is prob of picking 1 q and 2 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (53\/(1113\/(-6)))\/1*(-14)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 221*h + 532 = 240*h. Let f = 49 - -4. Calculate the remainder when f is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 4*t - 9. Let f(b) = -2*b + 4. Let o(v) = 2*v + 3. Let h be o(0). Suppose h*l - x = 26, 2*l + 5*x = -2*l + 3. Calculate l*f(d) + 3*a(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -23 - 44?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 13. Let j = u + -15. Let w = j + 15. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 48*d**3 + 2*d**2 + 44*d + 1. Is k(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2795924 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001065537 rounded to 7 dps?\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 27218, 28426, 30440, 33260, 36886?\n\"Answer: 403*z**2 - z + 26816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 66303 and 101583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 857459 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 2*c - 42. Let j be d(23). Factor 2\/9*x**j + 2\/9*x**5 + 0*x - 2\/9*x**3 + 0 - 2\/9*x**2.\nAnswer: 2*x**2*(x - 1)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2280519 is divided by 760167.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 299024 - 125551. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2712)\/1243*(-33)\/6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.62 + -171.62. Let p = -77 - d. Let z = p - 90.19. Round z to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 63070*x - 63071. Determine c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 15, p: 3}. Give prob of sequence tpp.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3.6, 1\/15, 0.3, -0.09 in increasing order.\nAnswer: -0.09, 1\/15, 0.3, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(500) + (-1 + sqrt(500) - sqrt(500)).\nAnswer: -4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 36*y - 6405 - 3675. Calculate the greatest common factor of y and 480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 473 and 9202.\nAnswer: 101222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 11 + 13. Solve 4*f + 4*a - z = 0, 17 - 7 = -5*f + 5*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6907267?\nAnswer: 577, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3542 and 2222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 23970189*h. Let k(w) = w**2. Give k(i(y)).\nAnswer: 574569960695721*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 80, 1, 2\/19?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 309*s + 48795 = 3990 for s.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -10*k**3 - 12*k**2 - 7*k - 4. Let p(q) = 9*q**3 + 12*q**2 + 6*q + 4. Let m(o) = 5*g(o) + 6*p(o). Is m(4) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -397\/234 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 13 = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(1850\/703)\/25.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1020 + -101200?\nAnswer: -102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 76751 less than or equal to 76739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6448, -6449, -6450, -6451?\n\"Answer: -v - 6447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2395*c - 1283*c**2 - 9821*c**5 - 1377*c + 1282*c**2 wrt c?\nAnswer: -589260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 i when three letters picked without replacement from {j: 2, u: 9, i: 1, t: 4}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/5 + (-186)\/15. Let c = 71\/6 + t. Let k = -97 + 289\/3. What is the third biggest value in -0.5, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 + 77452\/(-5))*(19 + -24). Let o = u + -37578. Suppose -32136 = -b + o. What is b rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6\/119, -4, 2\/13 in descending order.\nAnswer: 1, 2\/13, -6\/119, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i + 3 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbvwbvb. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -16230198 rounded to the nearest 100000?\nAnswer: -16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-3\/7)*l)\/(l\/l**(-1\/10)))\/(l*l**(-2\/5)*l*l*l\/l**(-2\/19)*l) assuming l is positive.\nAnswer: l**(-6961\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -2 + 6 + (-12)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1916?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -39, -4, -0.3, 1.6, 1\/7, 1\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/3302 and 59\/1270.\nAnswer: 16510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -154223284*z**5 - 9835097*z wrt z.\nAnswer: -3084465680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 12*n**2 - 13*n + 159. Let a = 22510 + -22498. Determine j(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2980360 is divided by 16650.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*z**4 + 0*z**4 - z**4)*(-1698 - 7562 + 1073) to the form g*z**3 + h*z + l*z**4 + w + r*z**2 and give l.\nAnswer: -24561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1480 or -720482?\nAnswer: -720482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 6:50 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) + -3 - sqrt(171)) + -5 + -4 - (-5 + sqrt(171) + -2 - (sqrt(171)*2 + -2)))**2.\nAnswer: -42*sqrt(19) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3396940 by 34.\nAnswer: -99910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37*v**2 + 3288 + 3*v**3 - 2*v - 7*v**3 - 3288 to m*v + u + h*v**2 + j*v**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20 + 23. Let u(k) be the second derivative of 0 + 0*k**4 - 2*k + 0*k**d + 1\/10*k**5 + k**2. Differentiate u(x) with respect to x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 182\/(-240) - (84\/8 + -10) and -7\/108.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1248 + -4995\/4. What is the nearest to k in 8, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 399 + 8007*x**2 + 5*x - 8006*x**2 + 73 + 374 - 70 in the form f*x + c*x**2 + v and give v.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -261*k + 15169 + 21893. What is the remainder when 443 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 0. Suppose 5*u + 4*k = -0*k - 1, 0 = 2*u + 2*k + 2. Suppose -u*y + 3*v = 2*y - 7, -2*y = -4*v. What is the third smallest value in -1\/3, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 225, 450, 675?\n\"Answer: 225*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -15. Let s = 27 - y. Suppose -3*t = s - 42. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111*j**2 - 4*j + 4*j.\nAnswer: -111*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -23*j**2. Let z(l) = -102*l. Give z(n(c)).\nAnswer: 2346*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 33 - 26 - (-320)\/1. Let p = 359 - b. Calculate the smallest common multiple of 32 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3\/11 + 2270*s**2\/11 + 13674*s\/11 + 20538\/11.\nAnswer: -2*(s - 1141)*(s + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -70 + -60. Let m = q + 130. Which is greater: m or -0.09?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 2*r**2 - 3586*r + 70920 = 0.\nAnswer: 20, 1773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 258476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20 - -30. Let k be 4\/(-8) - (-5)\/o. Let c = k + 139. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -610*y - 28. Let d(b) = -122*b - 6. Calculate -14*d(z) + 3*q(z).\nAnswer: -122*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*f + 0*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-72)\/17640)\/((-24)\/(-112)).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide (-10 + 688\/10)\/((-3)\/(-2140))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6441 is divided by 305.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4818, -5326, -6172, -7356, -8878, -10738, -12936?\nAnswer: -15472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 6*r**2 - 10*r - 9. Let d = -384 - -406. Calculate the remainder when d is divided by s(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.237 - -22.063. Let q = 22 - m. Which is the nearest to 0.2?  (a) q  (b) -4  (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-10)\/(-4)*(-8)\/(-10). Suppose 5*w = 33 + a. What is the least common multiple of w and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 3248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2455 + -2466 - 36\/(8\/2)*1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 10163, 10169, 10175, 10181, 10187, 10193?\n\"Answer: 6*i + 10157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32500450*j**3 + 43*j + 87123 wrt j?\nAnswer: 195002700*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6912.23 decades to months.\nAnswer: 829467.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 6*k**2 - 11*k + 6. Let i be j(8). Let q = i + -24. Suppose 0 = c + z - q, z = 5*c - 104. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -146*p**2 - 7436*p + 510.\nAnswer: -2*(p + 51)*(73*p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 230 = 2*x - 1008. Suppose -x = -3*n - 2*c, 4*n - 5*c = 790 + 43. Calculate the remainder when n is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112372545 = -613*h - 32*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 15488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2)*(40 - 40 + 6*w) - 1 + 1 + w + 1 - 1 + w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1299534 by 6.\nAnswer: -216589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*(-4)\/(-6) - (-24)\/(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6063766017 to the power of 1\/2, to the nearest integer?\nAnswer: 77870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v**2 - 35*v + 67. Give d(11).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that q**4\/4 + 37277*q**3 + 298213*q**2\/4 + 74553*q\/2 = 0.\nAnswer: -149106, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 5:18 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -165.5, 4, -0.2, 1\/10, -0.24?\nAnswer: -165.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 164646409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {n: 1, f: 1, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -820*a**2 + 489 + 111 - 830*a**2 - 125*a + 1651*a**2.\nAnswer: (a - 120)*(a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/19 in 21\/4, -0.4, 4, 0.1, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -620266 divided by -310133?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - (2 - 4)) + 2. Is 6 a factor of (-450)\/(-1*2)*u\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2a96 + 1?\nAnswer: -2a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(56)*4 - sqrt(56)) + sqrt(56))\/((4*sqrt(64))\/sqrt(8)))**2.\nAnswer: 2527\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -t**5 - 474*t**4 - 5060*t**3 + 15630*t**2 + 161541*t - 450036 = 0?\nAnswer: -463, -9, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((390\/(-114))\/13)\/(3\/(-57)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3784287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = -r - 23, r = -i - 3*r + 10 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence grc when three letters picked without replacement from {k: 5, r: 4, g: 1, b: 3, c: 5}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3*x + 424 = 3*a, -3*x - 548 = -4*a. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25468 times 28.7\nAnswer: -730931.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - ((1 - 4) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3923, -7863, -11817, -15791, -19791?\n\"Answer: -z**3 - z**2 - 3930*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y - 12*y = 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000602216 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38867791?\nAnswer: 523, 74317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/673974 and 45\/7468.\nAnswer: 2516618916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) - 2*sqrt(1100) - sqrt(1100))**2 - (sqrt(11) - 4*(1*sqrt(11))**2))*-1.\nAnswer: -4444 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iclriririr. Give prob of sequence ci.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 87. Let n = t - 85.06. Suppose 3*j - 5 = -2*j. Which is the smallest value?  (a) j  (b) n  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of y**4\/24 - y**2. Suppose g = -h - 2, -7*g + 6*g + 5*h = 2. Calculate o(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 176789 is divided by 408.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in -3, -5, 4, 148?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -8 times 0.227528\nAnswer: -1.820224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -85 - 16. Let r = 108 + i. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 2:38 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 1. Let v(q) = -q - 6. Let j(n) = -6*f(n) - v(n). Suppose 8*i - 13*i = -540. Let t(m) = i*m**2 - 14*m**2 - 10*m**2. Give j(t(h)).\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*z**5 + 17*z**4 - 8*z**4 - 9*z**4 - 7*z**2 wrt z.\nAnswer: 600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -7*j**2 - j + 4. Let o(x) = -6*x**2 - x + 4. Give 4*i(q) - 5*o(q).\nAnswer: 2*q**2 + q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.33 in -225, -0.4, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 872917\/2 - (25 + 1020\/(-40)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > 13\/9154092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21.8?  (a) 141  (b) -1\/5  (c) 3\/2  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 8*z**2 - 8*z - 32. What is the remainder when v(-6) is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.46661 - -0.02131. Let k = -246 - -246.45. Let u = w + k. Round u to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/9)\/(16\/108)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1321147 - 3022247. What is q rounded to the nearest ten thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 48, 102, 188, 312, 480, 698?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3*2\/12*0. Let q = 6 - 1. Let y be (-1)\/(-2) - (-42)\/4. Solve 3*c + y = 2*w - t*w, -2*c = q*w - 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(833) - (sqrt(833) - (sqrt(833) + 1 + sqrt(833)))) + -1 + 2 + 2 + 1 + sqrt(833) + sqrt(833) + sqrt(833).\nAnswer: 3 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 5*o + 5*x - 557, 5*o - 4*x - 727 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/4764 and -22\/219.\nAnswer: 347772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 1 - 66 - (1552 - 1534 - (-2 + 20)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6868 and 12939716.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.5811842m?\nAnswer: 0.0005811842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -85 - -89. Suppose v*t - 184 = 2*i, t + t - 5*i - 108 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 6, a: 1, i: 7, y: 1}. What is prob of sequence wwa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 878 (base 13) to base 11.\nAnswer: 10aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-349*b**2 - 209*b**2 + 127*b**2)*(5*b + 15*b + 7*b).\nAnswer: -11637*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4*v - 248 = 0, 3*v = -0*v + 6. Suppose -3*d - 48 = -4*o, -d = -32*o + 34*o - 14. Calculate the highest common factor of o and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/4)\/(((-1134)\/(-7))\/(-9)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1004  (b) 0.3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xlxlxxxxxxxxxxxxxxxx. What is prob of sequence xx?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 6. Let o = 19 + -9. Calculate the least common multiple of w and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-4)*-5*(-40)\/(-25). Put -0.5, r, -2, 0.5 in ascending order.\nAnswer: -2, -0.5, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - (-13 - -8)) + (-14 - (9 - 38) - 110)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 881 + -272. List the prime factors of b.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of 559*x**5\/5 - 713*x + 232. Differentiate k(b) wrt b.\nAnswer: 2236*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from -50302457.\nAnswer: -50302461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 14 * -78\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -200 - -1582. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001 less than -120?\nAnswer: -119.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 + 1b101b?\nAnswer: 1b1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180*d = 2*l + 181*d - 37, -3*d = 9. Solve -17*y + l*y = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 801, -17.8?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 24 = 4*y, -z + y = -3*z - 30. Let m be (6\/4)\/((-12)\/z). Solve 0 = -2*n - m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + -1*sqrt(72)*3 + 2*sqrt(72)*2)\/(sqrt(486)*-3*2).\nAnswer: -2*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (1*1\/1)\/(56\/16)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -187*v**3 - 259*v**3 - 18*v**3.\nAnswer: -464*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 57, 1331, 0 in increasing order.\nAnswer: 0, 4, 57, 1331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 18487 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, -1\/9, 0.3, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.3, -1\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.4 - 0.5. Which is the closest to v?  (a) -5  (b) 2\/39  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, f: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-411)\/(-9) + 1\/3. Let r = y - 30. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 - 30*b + 194. Let t be q(5). What is the greatest common factor of 368 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/2)\/y**(-1))\/((y*y**6*y)\/y**(-3\/4))*(y*y**(-1\/5)*(y**(-2\/3)*y)\/y)\/(y**(-2\/13)\/y**0) assuming y is positive.\nAnswer: y**(-6211\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1667777612?\nAnswer: 2, 997, 418199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1575 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 60 - 50. What is the second smallest value in 1\/2, w, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4)\/(2\/78)*766\/1149?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 10*y - 227. Calculate t(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 + -24 + -5 + 12 + 2 + 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -245, -544, -963, -1562, -2401, -3540, -5039, -6958?\n\"Answer: -10*z**3 - 229*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -68.5 - -65.5. Which is the smallest value?  (a) -2  (b) o  (c) 0.2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 AM and 7:53 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oxx when three letters picked without replacement from {o: 1, x: 3, b: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 462 + -10624\/23. Let r = d - 31\/92. Suppose w + 5 - 8 = 0. What is the nearest to 0 in -2\/3, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.336601 weeks in seconds?\nAnswer: 4437176.2848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 5*d - 6 - 4 = 0, 0 = -3*o + 3*d - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.415992 micrograms in milligrams?\nAnswer: 0.005415992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63 = -5*m - 3*q, 20 = -64*m + 68*m - 2*q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 549761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -7\/5  (b) 4  (c) -2\/3003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2*w + 481 = 0, -145 - 34 = -v - 4*w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159377 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 695*y**2 - 695*y**2 + 63*y**4 + (y - 2*y - y)*(2 - 2 + 2*y**3) - 29*y**3 + 57*y**3 - 28*y**3 - 140*y**4.\nAnswer: -81*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h + 12. Let y be n(9). Let c be 0\/(-2*(-3)\/y). Suppose c = 2*x + x. Solve 1 = -w + 4*p, 3*w - p = -x*w - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 71123213 divided by -38591.\nAnswer: -1843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from upmzpszpmupzppphpp. What is prob of picking 3 z?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -111, -450, -1041, -1902, -3051, -4506, -6285, -8406?\n\"Answer: -3*b**3 - 108*b**2 + 6*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -45 + 17. Let j = -26 - h. Is 19 a factor of 55 + 0\/(j\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -35317, -35265, -35221, -35185?\n\"Answer: -4*f**2 + 64*f - 35377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86.76142 millimeters to nanometers.\nAnswer: 86761420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/(-14) - -1 - 1896\/21. Let g = -444\/5 - t. Determine v so that 3\/5*v**2 - g*v + 0 + 3\/5*v**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 2*p + 13, 4*k - 5*k + 3*p + 2 = 0. Suppose 4*i + f - 9 = -4*f, -8 = -3*i - k*f. What is the remainder when (-39)\/6*i*-4 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/30*-3)\/(16\/(-10))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1860749 divided by 11.\nAnswer: 169159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 4*o + o + 28 = 0, 2*k - 28 = 3*o. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + -5. Suppose -w*s = -2*x - 2*x + 9, s - 10 = -3*x. Let -3 - g**2 + 5 - g**3 - 1 + 5*g - 4*g**x = 0. Calculate g.\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 825343680 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 3. Which is the closest to -0.1?  (a) -2\/13  (b) 1  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 141 by -1.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(6\/5)*x*x*x\/(x*x**(3\/5))*(x**(1\/3))**5)**(-1) assuming x is positive.\nAnswer: x**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -2*c - 1. Let q be h(-3). Suppose -q*o - 9349 = -d, -15933 = -2*d - 3*o + 2752. Suppose -5*t = 5*r - 8821 - 2829, 4*r - d = 4*t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1*sqrt(187) + sqrt(187)) + (sqrt(187) - (sqrt(187) - (sqrt(187) + (sqrt(187) + sqrt(187)*-1)*-2))) + sqrt(187))\/(sqrt(55)\/(-4*sqrt(125))).\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkd when three letters picked without replacement from vddkkvdmvkdddddmdd?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -2*z + 21. Determine j(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -201 (base 3) in base 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7924 + 7520 = 11*g. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2*h**4\/7 + 88*h**3\/7 + 1140*h**2\/7 + 4904*h\/7 + 550 = 0?\nAnswer: -25, -11, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6523.\nAnswer: 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 2890521 = 2890518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8928699 centuries to millennia.\nAnswer: 0.08928699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 1789*j - 3579*j + 1790*j + 604*j**2 in the form f*j + d + c*j**2 and give c.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -11866212, -11866211, -11866210, -11866209, -11866208, -11866207?\n\"Answer: g - 11866213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/7)\/(240\/140)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -108, -111, -114, -117?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29379 = -2057*m + 24054 - 28235 - 67233 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 963 a factor of 382127067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*z = -81*z - 35 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 - 2*u + 2. Let c be p(-4). Let a be (3 + -1)*(-4 - c). Is 6 a factor of (-23)\/(-2) + 2\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + 2*b**2 + 18*b + 28. Let g be l(-8). Let d = g - 507. Solve -5*z = -5*m + 5, -2*m = -3*m - 3*z + d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -50 + 50.00011. What is c rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 3*m + 4. Let b(t) = 3620*t**2 - 2. Calculate b(h(s)).\nAnswer: 32580*s**2 + 86880*s + 57918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, z: 2}. What is prob of picking 3 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 7*u - 12. Let o be h(9). Suppose 0 = r + 2*r - o. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**0\/((z\/z**(-2\/7)*z)\/z)*z**(-8\/7)\/(z**6*z)*((z\/(z*z**(-6\/7)\/z)*z)\/z)\/(z*z**(4\/7))*z**(-2\/3)\/z**1 assuming z is positive.\nAnswer: z**(-227\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 2*q - 0*q - 686, 0 = -2*f - 4*q + 328. Let a = 2567 - 2551. Suppose -f = -a*y + 166. What is the highest common factor of 28 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 581514 is divided by 290728.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8743381?\nAnswer: 23, 380147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 237 - 230. Solve -58 = -u*p - 2 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-4 - (-3 + -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h**3 + 5*h**2 + 9*h + 8. Let n be k(-5). Let r = -65 - n. What are the prime factors of (r*(-1)\/3)\/(2\/(-6))?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**5\/6 + 154*z**4\/3 + 101*z**3\/2 - 616*z**2\/3 - 614*z\/3 = 0. What is z?\nAnswer: -307, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of -8*a - 4\/3*a**3 + 6*a**2 - 13. Factor g(o).\nAnswer: -4*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25114000 rounded to the nearest 100000?\nAnswer: -25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74287 is divided by 17632.\nAnswer: 3759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, s: 6}. Give prob of sequence ssss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4446 - -5018.4. What is z rounded to the nearest 10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -18 - 393*f**3 + 798*f**3 - 402*f**3 - f**4 wrt f?\nAnswer: -4*f**3 + 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17650 is divided by 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -1, -3, -5, -1445, -6 in ascending order.\nAnswer: -1445, -12, -6, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (684\/(-285)*(-13)\/(195\/(-50)))\/((-2292)\/3)\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 11) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -4*i + 1. Let j(z) = z**2 + 24*z - 197. Determine 6*a(l) + j(l).\nAnswer: l**2 - 191","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14122 - -2141?\nAnswer: -11431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 39*z**2 + z. Let a(q) = 75 - 75 + q**2 + q**2. Determine m(a(y)).\nAnswer: 156*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32681047*m**2 + m - 6022294.\nAnswer: -65362094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8887?\nAnswer: 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is d + -4b23a?\nAnswer: -4b22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1511428 is divided by 5106?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8643664?\nAnswer: 2, 53, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -37521.\nAnswer: -1\/37521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 802 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 + 4*z - 1. Let j be f(5). Let m be ((-8)\/14)\/(j\/21). Solve 2*k + m = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes after 4:38 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2*l + 21 = 0, 2*l + 24 = -4*q - 2*l. Let u = -6 - q. Suppose -u*g + g = -10. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/90 and 7\/216?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 11:09 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -16*i**3 + 3*i**2 - 3*i. Let v(d) = d**3 - d**2 + d - 1. Let t(q) = -r(q) - 3*v(q). Differentiate t(w) with respect to w.\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19414\/2855)\/(2\/6) + 2\/(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(1210\/(-440))\/((-11)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-20)\/(-15) - (-364)\/(-138). Are -1 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-120)\/40*(-8)\/(-30).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v + 8 = 18*v. Suppose 2*w + 19 = -5*m, -2 = -v*m - 12. Suppose -48 = -4*r - 0*r. Solve w*o + 3 - r = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7762182 is divided by 9667.\nAnswer: 9248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31498, 31245, 30996, 30751, 30510, 30273, 30040?\nAnswer: 29811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-15)\/6)\/((-3)\/(-6)). Let g(o) = -5*o - 2. Let q(k) = -k + 1. Let t(w) = g(w) - q(w). Let z be t(c). Are z and 16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4302 - 4?\nAnswer: 4265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43270564?\nAnswer: 2, 409, 26449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2159 + -1.\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 - 5*t**2 - 11*t - 3. Let l = -13 - -20. What is the remainder when 33 is divided by k(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 46 + -31. Let c = r - 12. Suppose 4*u + c*n = 90, 0 = 4*u - 5*n + 12 - 86. Calculate the greatest common divisor of u and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -171\/638 - -5\/58. What is the nearest to -0.1 in -8, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.17 + -3.17. Which is the second smallest value?  (a) w  (b) 2  (c) -1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 990.7421l to millilitres.\nAnswer: 990742.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 - 2*y**2 - y - 1. Let p(i) = -208*i**3 + 14*i**2 + 7*i + 7. Calculate 14*c(w) + 2*p(w).\nAnswer: -402*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - (2 + -2) - -10. Let z(j) = -j + 9. Let k be z(o). Which is the second smallest value?  (a) 4  (b) k  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h**(-1\/9))**48*(h**3)**47)**11 assuming h is positive.\nAnswer: h**(7645\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16603*a*y**2 + 64*y**2 + 55*y wrt a.\nAnswer: 16603*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-18)\/30 - (-83396)\/260. Let t = p - 320. What is the second biggest value in 1\/4, t, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -205787\/38 - -10831\/2. Suppose 0 = f - 2 + 3. Which is bigger: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9780 is divided by 65.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26 - -23) + -25 + 17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + o - 4. Let n(l) = 14*l**2 + l - 3. Let k(f) = -n(f) + r(f). Let h be 14\/14*(1 - (0 + -1)). Let u(s) = 3*s**2. Determine h*k(z) + 9*u(z).\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 2*b + b. Let f = b + -15. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3184\/35 + 457\/5. What is the closest to -2\/7 in -3, h, 11, 54?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8326444 - -12133744. What is m rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**1)**(3\/23)\/((u\/u**0)\/(u\/(u\/u**(1\/8)))) assuming u is positive.\nAnswer: u**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20022320 is divided by 20022225?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5402*i**3 - 2*i**2*j - 2575*i + 2*j wrt i.\nAnswer: 32412*i - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*5\/20*2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 69973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of 18*k**3 + 7*k**2\/2 + 10*k + 28. Is i(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 152*c + 242. Is 25 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (6\/(-4))\/((-3)\/6) - -35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.193 + -20.807. Let v = 35 + j. Which is the nearest to 1?  (a) 3\/7  (b) v  (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*s - 366 = 648 + 218 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35592671 by -6.\nAnswer: -35592671\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttitiitti.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-33)\/(-5)*(-1 + 6). Let b = -13 + n. Let c = -14 + 21. Calculate the remainder when b is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -7*l - 4 - 25*l + 1. Is m(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/553407 and -43\/63610.\nAnswer: 5534070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -89 - -94. Suppose -4*h = -4*o + 56, -3*h + 8*h - 42 = -2*o. Solve x*f + 9 - 2 = -4*t, 0 = -4*f + 2*t - o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -326 - -141. Let g = -184 - n. Which is greater: 160 or g?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {p: 1, w: 2, t: 3, r: 3, j: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (35\/(-42) - 2\/(-6))\/(((-4141)\/(-4346))\/(-101)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -84 + 83. Let h(r) = -r**3 + 2*r**2 - 2*r + 7. Let o be h(-3). Calculate the common denominator of (0 + (o - k))\/(-2 + 8) and 44\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 10 = f. Let k(r) = 6*r**2 - r. Let p = 6 - 5. Let x be k(p). Sort x, 1, f.\nAnswer: 1, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84\/(-26) + (-52)\/(-46 + 33) - 1\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as -1\/345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 12514 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 267975, 3, 2.\nAnswer: -5, 2, 3, 267975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 2*q = -43, q + 45 = 3*c + 4*q. Suppose 2*y + 7*h = 6*h - 1, 2*y = 5*h + 5. Solve y = c*z - 11*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -287, -7, 3 in ascending order.\nAnswer: -287, -7, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2 = -j, m = -3*j + 3 + 7. Suppose 3*d - o - 6 = d, -2*d - 2*o + 6 = 0. What is the first derivative of -2 + 5 - j + d + u wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 208 - 159. Let a = -11 - -11. Suppose -2*g + 22 + 4 = a. What is the remainder when o is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2364 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -15, -29, -51, -87, -143?\n\"Answer: -k**3 + 2*k**2 - 13*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 + 19*q**2 + 17 + 15.\nAnswer: 19*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-73)\/(-8*1\/6*(-18)\/48). Is t > -291\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**3\/9 + 36342*n**2 + 654148*n\/9.\nAnswer: 2*n*(n + 2)*(n + 163537)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 4478?\nAnswer: -4481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3587 by -1.\nAnswer: 3587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31, 71, 121, 187, 275, 391, 541?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12750 divided by -85?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27130.8 or -2\/7?\nAnswer: -27130.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34545\/2115)\/((-14)\/12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -6*a + 2. Let u(y) = 11*y - 4. Let t(k) = 3*u(k) + 5*z(k). Let w(d) = -2*d**3 + d**2 + d. Let g be w(-1). Let x be t(g). Solve x*c + 7 = -1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -49*g + 659. Let l be c(13). Solve 27 - l = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-22 - 50 + 24)*(1 + 12 + 8*b - 22) as t*b + n and give n.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -153 - w + 153 + (0 - 1 - 1)*(2 - 2 - 2*w) + 3*w + 0*w - 5*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -8 * 1061\nAnswer: -8488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 191 - 953\/5. Suppose j*m - 2\/5*m**2 + 0 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (113430\/(-7164))\/((-8)\/6*(-1)\/(-8)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 - (6 + 7\/(-7)). Let l be (3044\/(-672) - p) + 12\/(-32). What is the second biggest value in l, -6.5, -0.4, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-5) + 6\/(-15). Suppose 0 = l + 2*q + 5, m*q - 2*q = 5*l + 33. Let o = -2 - l. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -0.1  (c) 10\/1784653\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -27.64161 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -74778430, -149556834, -224335240, -299113648?\n\"Answer: -h**2 - 74778401*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 8:45 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v - v + 2*v + 3 - 3 + v + (2 + 3 - 7)*(v - 5*v + 3*v) - v + 0 + 0 + 2*v - 2*v - 3*v + v - 4*v + 4*v + (-3*v + 12*v - 2*v)*(-1 - 1 + 1).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 AM and 11:00 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**4 - 654*h**3 - 6550*h**2 + 692982*h = 0. Calculate h.\nAnswer: -313, -41, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-2\/7))\/(p*p\/((p*p**(-1\/16))\/p)))**(-1\/5)\/(p**1\/p**(2\/7))**(-2\/73) assuming p is positive.\nAnswer: p**(7151\/40880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*d + 4894 + 3891 = -292*d - 4277 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1635 + 327 = 436*a. Suppose -2*g = -11 + 1. Suppose 13 = j + 3*m, 20 = -5*j - 0*j + 2*m. Sort g, j, a, 1 in descending order.\nAnswer: g, 1, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 11, h: 3}. What is prob of picking 3 t?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -72 + 162. Let p be (4\/10)\/(102\/y). Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -439565, -879127, -1318689?\nAnswer: -1758251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1101572 is divided by 2667.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2812 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1))**(-14\/5)\/((u*u\/u**(5\/7))\/u*(u\/u**7)\/u) assuming u is positive.\nAnswer: u**(333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 2:42 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3009933 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -140812 divided by 214.\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/(-12))\/(2\/6). Let k = -144 - -214. Let l be 6\/(-21) - 36\/k. Put s, l, -5 in decreasing order.\nAnswer: l, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 91*i**3 + i**2 + i. Let c be x(-1). Let n = 91 + c. Solve -3*o = -n*g - 3*g - 3, 4*g - 8 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 8 = -b. What is the remainder when 9 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/103 and -133\/6.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9175 - -9097. Which is the smallest value?  (a) 3  (b) k  (c) 1\/3  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.2 - 1.3. Let w be (-1)\/((-3)\/(-6) + 0). What is the nearest to d in w, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14343000 rounded to the nearest one hundred thousand?\nAnswer: 14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 33433181 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: Simplify (b**(1\/7))**36*b**(-25)\/b**(3\/7) assuming b is positive.\nAnswer: b**(-142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - 7*w**2 - 7*w - 10. List the prime factors of o(-7).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/(-2) + 0\/2. Let d(h) = -h**3 + 7*h**2 - 7*h + 5. Let t(m) = m**3 - m**2 + 1. Let z(n) = d(n) + 2*t(n). Is z(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -52 - -48. Sort v, -3, 1, 17 in descending order.\nAnswer: 17, 1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k - 1. Let f(o) be the second derivative of 2*o + 0 + 1\/2*o**2. Suppose 0 = -2*x + 97*x - 32 - 63. Determine x*l(n) + f(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3603399.\nAnswer: 3, 919, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 30433612 and 673310?\nAnswer: 152168060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 8, z: 4, x: 1}. Give prob of sequence zzz.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.8181 rounded to one decimal place?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tte when three letters picked without replacement from attae?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 319935988 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.24084 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.94 take away -0.02605?\nAnswer: 0.96605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-12) + 7\/(-42). Let v be (a - 0)\/(0 + -2). Suppose 0 = -4*c + 5*j + 19, v*j - 31 = -5*c - j. What is the remainder when 22 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2549*p**3 + p + 4790 wrt p.\nAnswer: 7647*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 334*o - 13064. Determine z(39).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.42, 2\/31, 0.3?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (96\/(-84))\/((-20)\/14). Let v = -2.1 - -2. Sort h, v, 0 in descending order.\nAnswer: h, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -4*v**3\/5 + 24*v**2\/5 + 756*v\/5 + 1944\/5 = 0.\nAnswer: -9, -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11373 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35)\/(sqrt(5) + sqrt(20)\/sqrt(4)))**2 + sqrt(7))*-4.\nAnswer: -4*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/5, 19\/146, -4, 7, 2\/7, 0.034, -2\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81800236?\nAnswer: 2, 7, 23, 71, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/5)\/j)**(44\/5) assuming j is positive.\nAnswer: j**(-132\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*q + 117*q - 9620 = 0. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - -81?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*v**2 - 119*v - 10*v**2 + 118*v as f + y*v + z*v**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -2. What is the closest to 1 in -0.5, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2986986713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3375 = 4*m + 5*m. Let c = -145 - m. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72 + -30 + -38 - 23?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 11.45. Let u = -235 + 232.66. Let k = g - u. Round k to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 229604.\nAnswer: 2, 61, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 11*w**2 - 10*w - 1. Let t be n(10). Let j be t\/3 - (0 + 1). Is -1 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*w - 11*w + 5*f = -8, -3*f + 4 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/(-9))\/((-1)\/(-365)). Let c = n + -919\/6. Calculate the common denominator of 2\/24*-137 - 1 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7648.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o**2 - 6*o + 189. Let d be y(8). Let f(i) = -i**3 + 13*i**2 - i - 1. Calculate f(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + -30?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/6 - 27269*k\/6 - 2612834\/3.\nAnswer: -(k + 193)*(k + 27076)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 194 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 2 = -2*z - 140, 0 = 3*h - 5*z - 117. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4245997 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5312056908.\nAnswer: 2, 3, 23, 167, 115249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*i + 32377 - 141145 = -47*i. Solve 2*k + 1149 = i for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -6. Which is the second biggest value?  (a) 1\/6  (b) 6  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5378*-0.05\nAnswer: -268.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l + 3*l - 2*l + (-3 + l + 3)*(5 - 1 - 2) + 4*l + 0*l - 2*l - 2*l - 5*l + 5*l + 10 - 53*l + 11*l - 12.\nAnswer: -39*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 4*l. Let o be j(-1). Let x(k) = -2*k**3 + 2*k**2 - 2*k. Let t be x(2). List the prime factors of 2 + t*o\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 10:53 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 363 = -c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3736 and 1077836.\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3877 - 3517. What is the greatest common factor of 150 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*63\/2457*(-30)\/(-5).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -87230, -87022, -86814, -86606, -86398, -86190?\n\"Answer: 208*c - 87438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c0 + -3a36?\nAnswer: -3956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 402 + -402. Let h(b) = b**2 - b + 1. Let u be h(2). Put -1, y, -5, u in increasing order.\nAnswer: -5, -1, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3716001 or 3715984?\nAnswer: 3716001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -985459?\nAnswer: 492729.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dcjqvdjjdjv. Give prob of picking 1 j and 1 d.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -41 - -39. Let d = 0 + 0. Which is the nearest to -1\/3?  (a) -1  (b) q  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - 3. Suppose x - 14 = q. Let u be 8\/q - 4\/(-6). Solve u*o - 3*o - 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*n + 36 + 15 = 0. Solve 0 = -0*m + m - n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = -3*c + 18, 3*o + 6*c = 10326 - 10284 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 1 - 1)*(-252*o - 911*o - 26*o - 1911*o - 953*o - 797*o).\nAnswer: 4850*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -46.42 and -3.\nAnswer: 139.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1, 0.5, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 9 = -4*v + 50, 4*v + 2*f - 6 = 0. Suppose -13 = -3*q - v. Suppose -5*k - 9 = -2*k - 3*h, -4*k - q*h + 9 = 0. Which is smaller: k or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, -2\/65, -25, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(-14) - 64\/(-28). Suppose -5*h = 2*h + 7. Sort 5, h, 1, y in ascending order.\nAnswer: h, 1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((214\/66)\/107)\/(1\/11).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -6*h**2 + 415*h - 4326. Let l(j) = -4*j**2 + 296*j - 2884. Give 7*l(m) - 5*q(m).\nAnswer: 2*m**2 - 3*m + 1442","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*i = 154*i - 1928085. List the prime factors of i.\nAnswer: 3, 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - j = -3*j - 61, 21 = 3*t + 4*j. Is t\/55 + (-804)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7*(-5)\/(-385))\/(2\/4*-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 3:39 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 188\/3 + -62. Let p = 0.5 - 0.4. Let c = p + -1.1. Put 0, c, y in increasing order.\nAnswer: c, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - -3571?\nAnswer: 3572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**5\/9 - 128*n**4\/9 - 2336*n**3\/9 - 256*n**2 + 18432*n - 49152 = 0 for n.\nAnswer: -24, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19cc (base 16) to base 14.\nAnswer: -259a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**2 - m**4 + m**2 + (-1 + m**2 + 1)*(0*m**2 + m**2 - 3*m**2) + m**4 + 2 - 2 + 14*m**4 - 26*m**4 + 3*m**4.\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1141445.\nAnswer: 5, 167, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 15 = 2*g. Suppose -4*r = r - 4*u - 49, -4*r - g*u + 33 = 0. What is the greatest common divisor of 27 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 39\/931 + -38923\/240198. What is the common denominator of z and -52\/105?\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49615, -99171, -148729, -198289, -247851, -297415?\nAnswer: -346981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6) + -5*sqrt(6)*1 + sqrt(6))\/(sqrt(20)\/(sqrt(10)*-2)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**2\/s*s\/(s\/s**(6\/5)))\/(s**(-1\/4)*s**(-5\/3)))**26)**(-8) assuming s is positive.\nAnswer: s**(-12844\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*k**2 - 13*k**2 - 7*k**2 - 10*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 6 + 2)*(-2 + 2 - 1) + 3 - 6 - 4)*(2*g**2 - 4*g**2 - 3*g**2)*(2*g**2 - g**2 - 2*g**2).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/72 and -19\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m + 6. Let c(h) = h**3 - 7*h**2 + 5*h + 6. Let q be c(6). What is the units digit of n(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 918503 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.03 take away 0.085?\nAnswer: 0.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.044, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h + h - h**2 - 3*h**2. Determine c(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 34777276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 3*f - 11. Let k be t(-3). Let c = 185 - 160. Calculate the remainder when (k\/8)\/(-5)*70 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54179 is divided by 149.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/7 + 1893*l\/7 + 1894\/7.\nAnswer: -(l - 1894)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 90, 77, 54, 15, -46, -135, -258?\n\"Answer: -k**3 + k**2 - 9*k + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of -44*g**2 + 11\/6*g**4 + 0 + 0*g**5 + 0*g**3 + 0*g + 17\/60*g**6. Find the second derivative of u(p) wrt p.\nAnswer: 204*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1600146 is divided by 133333?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -147  (b) 0.07  (c) 4  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -772, -1598, -2438, -3298, -4184?\n\"Answer: -w**3 - w**2 - 816*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 2 - 2)*(s**3 - 2*s**3 + 15*s**3) + 0 + 2*s**3 + 0 - s**3 - 3 + 3)*((0 - 2 + 1)*(2*s + s - s) + (-2*s - 4 + 4)*(5 - 3 + 0) + 1 - 1 + 2*s).\nAnswer: -60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - 5*u**2 - 5*u + 1. Let d be g(-4). Suppose i - 2 = d*p - 9, -4*p - 4 = -4*i. Which is the nearest to 5?  (a) -3  (b) p  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23 (base 6) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 8*m - 3*z = 136, 5*z = m - 14. Suppose -2*l = -l - 5*a - 10, -a = -2*l + m. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 148*u**2 + 107*u**2 + 56*u**2.\nAnswer: 311*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(240)\/((sqrt(48) + 1*sqrt(48))\/sqrt(4)))\/(sqrt(90) + sqrt(90) + (sqrt(90)*2*-1 - sqrt(90))))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 - -19. Suppose 3*r + 2*y + 9 = 4*r, -5*r = 3*y - b. Suppose -3*z - 8 = -v - z, -4*z - 12 = 0. Solve -4*w = -4, 5*j - 14 = -v*w + r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (55 - 42 - 31) + 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 972.66 - -41759?\nAnswer: 42731.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42.2 - -6.2. Let v = -39.6 - s. Let q = -3.539 - v. What is q rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 25 = 45. Let q be (2\/6)\/(7\/(-105)). Let m = q + w. Solve -5*k + 3*o - 13 = o, -o = -5*k - m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -24*c + 4*c + 100 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 2:39 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 265 a factor of 264470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 322 and 5?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000001101110011101000011 + -1000?\nAnswer: -1000001101110011101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 - 12*h**2 + 18*h + 21. Suppose 0*b - 5*b - 15 = 0. Let o be -34*1\/2 - b. Is z(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.4*-324204\nAnswer: 1426497.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.5 + 5.5. Let u = h - 3.1. Sort u, -3\/4, 3.\nAnswer: -3\/4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3463755\/131535 - (-1)\/2*-10.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b = -248 + 3209. Suppose -321 - b = -5*m. What is the remainder when m is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 791349074 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1186005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes before 3:04 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 161786351 to the power of 1\/2, to the nearest integer?\nAnswer: 12720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/6 + (-5956)\/(-12). Suppose 11*c + a = 15*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16512072 + -32186589. Let u = m + 15674499.299441. Let d = u + 17.7. What is d rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33217 (base 10) in base 13?\nAnswer: -12172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5)\/2)\/(85\/(-68)). Suppose -5*q + o*y + 487 = 3*y, y = -4*q + 389. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -9*y**3 + 4*y**2 + 4*y - 4. Let a(i) = -i**3 + i**2 + i - 1. Let u(t) = -4*a(t) + x(t). Find p such that u(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 + 18. Let p(q) = q**2 - 25*q - 15. Is p(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 134*l + 843. Calculate i(-7).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -428019?\nAnswer: 2\/428019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 17*q + 6160 = 0. Let l = q - 419. Solve 2*p + 6*i - 3*i = -l, p + 28 = -5*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 130 + 0.3444682706584\nAnswer: 130.3444682706584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2199 - -2207. Let l be (-1 - (-15)\/9)*42. Calculate the greatest common factor of l and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-1 + sqrt(1700) + 3) + -5)**2.\nAnswer: 2040*sqrt(17) + 61489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 187239 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9a280399 - 0?\nAnswer: 9a280399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8.1725*-8.\nAnswer: -65.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000173880456 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2686 = 2*x - m - 22667, 5*x - m = 49951. Is 30 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38461 - 0.02?\nAnswer: 38460.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aad when three letters picked without replacement from {a: 4, d: 3, m: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -127 + 132. Let q be (-147)\/171 - (n - 6). Do -1 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12\/6323?  (a) 0.3  (b) -0.2  (c) -12\/7  (d) -0.05  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 663 and 1885.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*d**5 + 4 + d**5 - 4 + (-1 + 1 + d)*(3*d**2 - d**4 - 3*d**2).\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/12 + (-14)\/(-8). What is the third smallest value in q, 0.09, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39205\/52 - 754. Let g = -33413\/14 - -868655\/364. Let q = l + g. Is q greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2\/2567 - 5108\/33371. Let a be 38\/(-84) - 4\/(-14). Let i = -2.8 + 3. Sort a, i, z in ascending order.\nAnswer: a, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d381 + 9c?\nAnswer: d41d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7 + -1 - (-2)\/(-1). Suppose b*i = 3*m + 1098, -2*i - 2*m - 823 = -5*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g - 18*g**3 - g + 4*g**3 - 2*g**2 + 2*g**2 + (-3*g**3 + 0*g**3 + 4*g**3)*(-1 - 1 + 3) to r*g + x*g**3 + t*g**2 + y and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/7 - 21431*p.\nAnswer: p*(p - 150017)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15194 is divided by 15191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 6. Suppose -82 - 8 = -g*l. Suppose p = 2*n - 2*p - l, -3*p + 3 = 5*n. What is the second biggest value in -0.2, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -296 + 721. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18180 + 165229\/9. Let j = 4859 - 4680. Let o = t - j. Which is the closest to o?  (a) -3  (b) 4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1248700 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppppipwiunpiuupwwj. Give prob of picking 3 u.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -321*x + 12720. What is q(44)?\nAnswer: -1404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 6 + 8 = 0. Suppose 5*d - 15 = -6*n + n, 2*d + l = 2*n. Solve -25 = n*q + 4*s, -5*q + 4*s + 11 - 36 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17 in 2\/17, 0, -1.1, -1\/6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of -3*x**5\/20 - x**4\/12 + x**3\/6 + 31*x**2. Determine a(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/22 - (-99)\/(-121). Is n - ((2 - 85) + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2894 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5852, -5858, -5892, -5972, -6116?\nAnswer: -6342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4)\/(11\/(-44))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-57)\/(-286) + 51\/(-1122).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {j: 2, o: 4, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3645 - -3488. Put 1, r, -1\/3 in descending order.\nAnswer: 1, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -71, -244, -515, -884, -1351, -1916, -2579?\nAnswer: -3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 644*h - 122985. Determine o(191).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 6*n - 123. Let w be a(24). What is the greatest common factor of w and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 - (22 - (0 + 14)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1\/4, -11 in decreasing order.\nAnswer: 0, -1\/4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1\/5, -3, 5, -15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tvutturtttr. Give prob of sequence rrtv.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -4*f**2 + 5*f + 10. Let z be m(6). Let w = 99 + z. Is 150*(4 - 2) - w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 61 + -17. Let c = -29 + u. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 1370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 38 or 33?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5182, 10294, 15324, 20260, 25090?\n\"Answer: -2*x**3 - 29*x**2 + 5213*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 250029*f - 124675*f - 125371*f.\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -5  (c) -68  (d) -4  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-2\/49))**45)**34 assuming d is positive.\nAnswer: d**(71910\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 355 or 363?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 3*u - 1)*(3*u - 2*u + 0*u) + 11*u**2 + 544 - 544)*(-2*u - 8*u + 2*u) to t + l*u + w*u**2 + p*u**3 and give p.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**2 - 2*j**2 + 6*j**2 + (188*j + 15*j + 26*j)*(-5*j + 3*j + 3*j).\nAnswer: 231*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2073 + 471 = 0. Let l = v + 902. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48*t**3 + 8*t**3 + 0*t**3 + (0*t - 2*t + 3*t)*(2*t**2 - 2*t**2 + t**2) - 3 + 3 + 2*t**3 + 0*t**3 + 3*t**3 - t**3)*(-2*t**2 - 1 + 1).\nAnswer: -122*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 1686433 to the nearest ten thousand.\nAnswer: 1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u**2 + 2*u - 1. Let o(n) = -n**3 - 9*n**2 + 8*n - 4. Determine 9*a(t) - 2*o(t).\nAnswer: 2*t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 433 + -435. What is the tens digit of (-78)\/(-12) - 7 - 123\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 219 times 0.1?\nAnswer: 21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -66219 (base 12) to base 6.\nAnswer: -2521233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -197961, -198003, -198073, -198177, -198321, -198511, -198753?\n\"Answer: -l**3 - 8*l**2 - 11*l - 197941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 3:13 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 752 (base 8) in base 2?\nAnswer: 111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (((0 + sqrt(432))*6 - sqrt(432)) + (sqrt(432) - (0 + sqrt(432))) + 0)*-2*6 + -5)**2.\nAnswer: 1440*sqrt(3) + 1555201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 137*q - 127*q - 2420 = 0. What are the prime factors of 323\/(-76)*(2 + q)\/(-1)?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.083 times 25?\nAnswer: -2.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 less than 4336\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 2*m - 1. Let t be a(1). Suppose 4*w = -3*r + 16, 7 + 1 = 2*w - t*r. Suppose 5*q = w + 6. Solve 0*j = q*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -692 - -688.99. Let u = f - -3. Let x be 2*(6\/(-12) - 0). Is x at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the third derivative of a**6\/120 - a**5\/60 - a**4\/8 + 2*a**3\/3 - 40*a**2. Let u be (-5 + 4)*(-3)\/1. Calculate i(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 61*w**2 - 4*w + 65. What is the thousands digit of p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -118.3 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 15907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*l - 456 + 247. Calculate the highest common factor of 2641 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100690 times -0.07\nAnswer: 7048.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 82335573 to the nearest integer?\nAnswer: 9074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/692 and 48\/173.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.87 - -0.13. Suppose 10 = -2*j, -2*u + 3*j + 21 = -0*u. Suppose -u*k = -12 + 3. Which is the nearest to r?  (a) 2\/9  (b) k  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*a**3 - 38*a**3 - 31*a**3.\nAnswer: -85*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -39, -45, -61, -93, -147, -229, -345?\n\"Answer: -g**3 + g**2 - 2*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*d**2*s - d**2 + 2518*d*s**3 - 434*d + 667 wrt s.\nAnswer: -6*d**2 + 7554*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/2)\/((-104)\/(-442))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -184702, -0.2, -21, 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 661 + -85. Suppose -2*d = 4*y - k, -5*y + 454 = -3*d - 277. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 355350 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**3\/19 + 33854*f**2\/19 + 202385290*f\/19 + 263224289850\/19 = 0. What is f?\nAnswer: -2455, 21837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - -3 - 6)*12\/(-9). Let u(o) be the third derivative of 0*o + 6*o**2 + 1\/12*o**x + 0 + 1\/60*o**5 - 7\/6*o**3. What is u(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of -5\/2*d**2 - d + 1\/6*d**3 + 0. Let v be u(9). Solve f - 3 = -4*l, 0*l - v*f = 5*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 10320.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**0*h)**(-2\/7))**(2\/95) assuming h is positive.\nAnswer: h**(-4\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -337640000 rounded to the nearest one million?\nAnswer: -338000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -26 + 10. Let n be g\/36 - 356\/18. Let y = n - -31. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + -4a500b?\nAnswer: -4a5010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 3 + -1*(sqrt(440)*2)\/sqrt(10) + -3*(sqrt(308)\/sqrt(28) - 4*(sqrt(44) + -1)).\nAnswer: -14 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 7:34 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 224 by -7.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -5*a**2 - 3*a + 4. Let s(f) = 16*f**2 + 8*f - 11. Suppose 5*y - 24 = 2*y. Let v(u) = y*t(u) + 3*s(u). Let m be 1\/(-3) - 24\/36. What is v(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -474, -1545, -3136, -5247, -7878, -11029?\nAnswer: -14700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*-2*3\/48)\/((-21)\/72)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-2))\/((-8)\/16). Suppose t - 58 = -s*z, 0 = 3*z + 2*z + 2*t - 98. Let u be 68\/z + 8\/36. Solve u*l + x + 2 = 0, l - 3*x - 1 = 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4628*m**2 + 6 - 3796*m**2 + 2049*m**2.\nAnswer: -6375*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of 43*d**4\/8 - d**3 - d**2 + 5. What is the tens digit of x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {n: 9, g: 3}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a - 1. Let b(u) = 4*u**2 + 4 + u**3 - u - 2*u**3 + u - 4*u. Let o(n) = -b(n) + v(n). Does 45 divide o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -104730, -104693, -104656, -104619, -104582, -104545?\nAnswer: -104508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22155 + 27279 = 366*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1383434500 to the nearest one hundred thousand.\nAnswer: 1383400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 25 = 4*t. Suppose 19 - 24 = -5*l + 5*h, 2*h + 2 = l. Suppose l*m + t = m. Calculate the remainder when 97 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of -b**6\/105 - b**5\/35 - b**4\/42 - 2*b. Suppose r(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 AM and 3:06 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -13.85.\nAnswer: -1.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -165, -329, -493, -657, -821?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -42*u + 20. Let d(p) = 11*p - 5. Let j(a) = 4*d(a) + v(a). Let t(f) = -4557*f**2. Determine j(t(s)).\nAnswer: -9114*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*a = 1150 - 1682 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -53 - -140. What is the remainder when u is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*f + 234 = 45*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*s + s - 3*s + 3*s - 4*s + 4*s - s - 3*s + 6*s + (5 + 2*s - 5)*(3 + 0 - 5) to t + u*s and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, a: 9}. What is prob of sequence aa?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from tjtvvpbf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**3 + 18*d**2 + d - 7. Let k be a(9). Suppose 0 = k*z + 3*p - 25, -2*p = 2*z - 0*p - 22. Solve z*i - 6*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3474661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -741.3 + 741. What is the third smallest value in q, -2\/9, -77, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**16*b*b)\/b)\/b)**(-1\/28) assuming b is positive.\nAnswer: b**(-17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -6, 5, -13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {r: 3, e: 1, v: 1, t: 1, k: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 627 = -4*k + 23*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1009440, -1009439, -1009438, -1009437, -1009436, -1009435?\nAnswer: -1009434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15\/8?  (a) 2  (b) 4  (c) -2803\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9590467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f + 7. Let q be c(6). Is 825\/12 + q\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, 9\/392, -0.4, -0.2 in descending order.\nAnswer: 9\/392, -0.2, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 22784 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i + 26. Suppose -5*d - 2*j + 1 = -62, -3*d + j + 40 = 0. Let z be m(d). Is z greater than 3\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - -1) + -11 + 5. What are the prime factors of (-56)\/d - 48\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {x: 5, s: 2, l: 4, a: 1, c: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 12. Let u(r) = r**2 + 2*r + 2. Let t(x) = x**2 - 1. Let d(c) = -c**2 + 5*c + 8. Let k(h) = -d(h) - 3*t(h). Calculate g*k(p) - 5*u(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3*1)\/(9\/6). Suppose 2*l - 8 = w, l = -h*w - 18 + 2. Put -5, w, -2 in increasing order.\nAnswer: w, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -200 + 226. Calculate the highest common divisor of z and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -12) + (-37 - -36).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2128, 245, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-6)*4 - -6. Suppose -4*l = -5*l + h*o + 31, 5 = -5*o. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -13*r**2 - 55*r - 10. Let c(q) = -4*q**2 - 18*q - 3. Calculate 7*c(t) - 2*j(t).\nAnswer: -2*t**2 - 16*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1\/1961 - -99989\/43142. Let r(t) = t**2 - 11*t - 4. Let i be r(6). What is the common denominator of a and (-9)\/(-6)*i\/(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2360, -2451, -2692, -3155, -3912, -5035, -6596, -8667?\n\"Answer: -12*p**3 - 3*p**2 + 2*p - 2347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32121 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 5) + 2 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of 1\/60*m**6 - 13*m**2 + 0 - 5\/2*m**3 + 0*m**5 + 0*m**4 + 0*m. Differentiate k(t) wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - (-8 - (7 - 7))) + 3 + -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25)\/70*-7*1\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**4 + 14070*y**3 + 13467060*y**2 + 4626554760*y + 232086189600.\nAnswer: 5*(y + 60)*(y + 918)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3467 is divided by 157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j - 47. Let s(g) = -11*g - 141. Calculate -7*l(m) + 2*s(m).\nAnswer: -m + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8592*d + 2604 = 8550*d for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12 - -7 - (5 - (3 - 0)). Suppose g = -g + 940. Let i = g + z. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-180)*250\/20.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.58*0.101.\nAnswer: -0.26058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8038 is divided by 72?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 3947581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*s**2 - 2 + 2 + 0.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13696)\/7293120*284\/(-8)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14.1 + -19. Let d = 36.3 - 39. Let j = u - d. Round j to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 1:15 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 159 + -3341\/21. Sort 32, -3, x, 2\/5 in descending order.\nAnswer: 32, 2\/5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4 + 3453*s**3 + 58375*s**2 - 127113*s + 65284.\nAnswer: (s - 1)**2*(s + 19)*(s + 3436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*r + 5*r - g + 13, -4*g = 2*r + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 - -11. Let l = 676 - p. Suppose 0 = 3*a - c - 468, 0 = -a - 3*a - 5*c + l. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*1\/3)\/(6\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from dddidddddddiii.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -168*c + 228. What is the lowest common multiple of v(0) and 190?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, j: 2, z: 1, w: 1}. Give prob of picking 2 j and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3*x + 23 = 0, -54*q + 59*q - 45 = 5*x. Solve -2*m = -5*v - 33 + 36, 5*v + q*m = 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from {e: 1, b: 2, x: 1, p: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, -5.8275, -3?\nAnswer: -5.8275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -404796.0899 - -404762. Let s = -0.0101 + m. Let f = s + 34. Which is the nearest to 2\/7?  (a) 3\/2  (b) 0.08  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5317706869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/1952 and -109\/4352768.\nAnswer: 265518848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -235 and 151.\nAnswer: -35485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-296)\/(-74))\/(4\/(-3))*8\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 26*g**2 + g. Let f(y) = y. What is f(z(t))?\nAnswer: 26*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (53*d - 8 - 26*d - 30*d)*(-2*d**4 + 4*d**4 + d**4).\nAnswer: -9*d**5 - 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiq when three letters picked without replacement from iiiiqqiqqii.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -239 + 233 + -1 + 1 + -1 - 18?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - (12 - (5 + 1))) + 6 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3 - 3 + 2)*(5 - 1 - 3) + 0 + 2 + 0 - 1 + 2 + 2 + 1 - 1 - 2)*((0 + 0 + 2)*(-18 + 18 - 3*n) + 0*n + 2*n + 0*n) as y + v*n and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 136682283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -294 divided by 69?\nAnswer: -98\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 218037*x. Let i(a) = 796*a**2. What is u(i(t))?\nAnswer: 173557452*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 - 11*k**2 + 7. Does 5 divide y(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 - j**2 + j - 1. Let a(v) be the third derivative of v**6\/15 + v**5\/15 - 7*v**4\/24 + v**3 + 6*v**2. Calculate -a(h) - 6*b(h).\nAnswer: -2*h**3 + 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.08 in -276928, -4\/5, 3\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (16\/(-6))\/(10\/(-30)). Let y = 7 - w. Let i be ((-34)\/10 + 3)*-10. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -11.13. Let v = 0.12956 + q. What is v rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 33 + 0 + 24052*h - 12034*h - 11986*h - h**2 = 0. Calculate h.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(15)\/sqrt(5))**2 - (1*sqrt(3) + sqrt(3) + 1)**2) + 4.\nAnswer: -10*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/3))**(-1\/7)*(r**(-1))**(-1\/12)*((r**(2\/19)*r)\/(r*r**6))**(-1\/5) assuming r is positive.\nAnswer: r**(3611\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**1)\/b**(-5)*(b\/((b*b\/(b\/b**0))\/b)*b)**(-3\/22) assuming b is positive.\nAnswer: b**(74\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/1190 and 77\/8.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 180841 (base 10) to base 7\nAnswer: 1352143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 23*h + 448. What is the units digit of l(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - t. Let g be i(5). Suppose 6*p + 48 = 60. Solve p*w + 2*w = -g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111111 - 111011?\nAnswer: -10111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15 + -8. Let q(c) = -c**3 - 11*c**2 - 12*c - 6. Let h be q(-10). Calculate the lowest common multiple of (-21)\/h*(-14)\/3 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*z + 11458 - 9365 = 0 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.079, -2\/3, -31 in descending order.\nAnswer: 0.079, -2\/3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/45 - (-102)\/27. Solve -g*s = -w - 19, 2*w + 20 = 5*s - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) + sqrt(192) + (sqrt(192) + sqrt(192)*1)*1)**2 + (sqrt(192) - (sqrt(192) - -4*(sqrt(192) + -1))).\nAnswer: -32*sqrt(3) + 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 0*x + 4*x - 2*x. Let f(t) = t + 7. Let d be f(-5). Let j(u) = u**d - 5 + 5. Give j(m(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -212 + 211.01. Let f = 18.01431289 + -17.0243121. Let b = v + f. Round b to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 2, 3.7, -3\/2 in decreasing order.\nAnswer: 3.7, 2, -3\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -y**5\/4 - 301*y**4\/12 - 880*y**3 - 20*y - 51. What is the second derivative of i(h) wrt h?\nAnswer: -30*h - 602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -80958.53049 + 80958. What is p rounded to 2 decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 33952463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -743595, -743727, -743859, -743991?\nAnswer: -744123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a3 (base 14) to base 9.\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2445472.89 and 46?\nAnswer: 2445426.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 456626295?\nAnswer: 3, 5, 103, 32839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17154 is divided by 657?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 99103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 2*b - 4*z, -5*z = -2*z - 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*p + 29 = 0, 5*o - 4*p = p - 55. Sort -1\/3, o, -5\/2 in decreasing order.\nAnswer: -1\/3, -5\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*c**3 - 8*c**6 - 11*c**3 - 2*c**2 + 7*c**2 wrt c?\nAnswer: -960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddxg when four letters picked without replacement from tdxgddddddudddd.\nAnswer: 11\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 - 6\/((-2)\/2). Suppose -156 = -q*j + 3*y, 2*y + 55 + 63 = 3*j. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27129 - -27132. Let l(x) = 6*x**2 - 9*x + 6. Determine l(f).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 557.\nAnswer: 4\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 23, -134 in descending order.\nAnswer: 23, -9, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (1\/1 - 0\/13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1043328 to the power of 1\/2, to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13501 (base 9) to base 10.\nAnswer: -9154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*f + 741*f + 621*f - 34224 = 0 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 - 34 - (-1 - -19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 80?  (a) 2\/21  (b) 5  (c) -1\/5  (d) 4  (e) -4\/781\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Work out -0.094 + -2.\nAnswer: -2.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -62*u - 107*u - 1521 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 787*k + 176699 - 568*k**2 - 890*k**2 + 383*k**2 - 176699 wrt k.\nAnswer: -2150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-1.018628.\nAnswer: -0.4074512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 720 and 14?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 3*o = 165. Let s = o - -29. Let x = s + 5. Solve -x + 6 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 4) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 20 = 5*r. Solve t + v = 2*v + r, 14 = -3*t - 5*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61641016.\nAnswer: 2, 19, 43, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 196, 245, 294, 343, 392, 441?\n\"Answer: 49*y + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -5304, -30811, -73324, -132843?\n\"Answer: -8503*l**2 + 2*l + 3197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22963\/364 - -3429\/52. Determine z so that 18\/7*z + c - 2\/7*z**2 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2. Let q(y) = -y**2 - 20*y. What is i(q(x))?\nAnswer: 2*x**4 + 80*x**3 + 800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(175)*-3)**2 + (sqrt(175) + 4*(-2 + sqrt(175)))**2 + 4 + 2.\nAnswer: -460*sqrt(7) + 6024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00183611 rounded to five decimal places?\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 4767 = 791. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 + (-8)\/(-7))\/((-6)\/(-126)). Let w = 21 - -2. Let y = w + x. Solve y*p = 4*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 4*b = -17 + 466, 452 = 3*z + b. Suppose -5*r + 3*m + 147 = m, -m = -5*r + z. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(-2) - 9*5\/(-30). Let m be 2046\/36 + 1\/j. Let q be -3 - (m\/(-3) - -1). What is the highest common divisor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 1 - 3*u - 1 + (-40 + 3 - 53)*(6*u - 3*u - 2*u) - 2 + 0 + 1 + 7*u as h*u + m and give h.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p**2 + 12*p + 2. Let n(r) = 6*r - 25 + 4*r + 9*r**2 + 15*r - 5 + 34. Determine 3*n(o) - 7*v(o).\nAnswer: -o**2 - 9*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77 + 40 = 3*b - 54. Calculate the highest common factor of 7809 and b.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l - 98 = -14*l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from wmwwwwwwmwwwmwwg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3*g - 13 = -2*g, -o + 7 = 2*g. Suppose -2*h - 7 + o = n, 3*n = -2*h + 4. Solve 3*d - 2*x = -6 - 13, n*d - 8 = -4*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-336)\/(-9))\/4*18. Suppose a = 2*a - c. Suppose 2*g = 4*q - a, -5*g - 140 = -q - 2*q. What is the highest common divisor of q and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 57\/12 - 3\/(-12). Suppose -3*v + 189 = g*q - 24, -2*q + 3*v + 81 = 0. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 121740215 to the nearest integer?\nAnswer: 11034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*i**5 - 11*i**4 + 257*i?\nAnswer: 80*i**3 - 132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2343 - -2341. Let t(s) = 10*s - 4. Let a(g) = 5*g - 2. Calculate w*t(h) + 5*a(h).\nAnswer: 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 5*h + 2 + 18, 2*p + 4*h - 6 = 0. Solve 242*g + p = 247*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + -17 + (-1 - 3) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*d + 20, -15451 = -4*t + d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 2 = -12. Suppose h - 47 = 2*j, -h = 3*j - z*j - 53. Suppose 2*i - h = c + 48, 3*i + 3*c = 126. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 5*q - k - 28, -q - 2*k = -14. Calculate the remainder when 550\/14 + (-12)\/42 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 30*b**2 - b + 3. Is m(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3112807 to the power of 1\/2, to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 - 12*h - 13. Let v be u(-9). Solve -4*n**2 - 8*n**3 + n**4 + v*n**5 + 0*n**4 + 3*n**4 - 6*n**3 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35.7 + -13.3. Let t = 22 - w. Put t, 5, 0.12 in increasing order.\nAnswer: t, 0.12, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 786 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 308 and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -115*c - 779. Calculate d(-3).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((-12)\/(-15)*(-5)\/3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10.401 - 4574\nAnswer: -4584.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 16 + 206 = 0. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ycoolyyczoyohyy. What is prob of picking 1 l and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, -0.04, 0.1, -68.9, 2\/345?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*o + 4. Let r be 34\/o*(4 - 5). Let y = -15 + r. Solve -y*j + j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*g**4 + 3*g**4 + 8*g**4 + (2*g**2 + 0*g**2 - 3*g**2)*(0 - 2*g**2 + 0) - g**4 + 8*g**4 - 2*g**4.\nAnswer: 21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 47*s**2. Let j(v) = -10*v + 32. Let h(i) = 2*i - 6. Let k(t) = -16*h(t) - 3*j(t). Determine y(k(g)).\nAnswer: 188*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4286 - 38527\/9. Let k = -882 + 612. Let m = -1369\/5 - k. Find the common denominator of m and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2028 and 52356?\nAnswer: 8848164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - 154104353?\nAnswer: -154104345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 151240 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 333902757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h - 28. Give d(-13).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74 + 71\/(2059\/(-58)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1909 a factor of 714712419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 11:29 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v**2 - 1607596940*v - 129218396074868180 = 0.\nAnswer: -160759694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f**2 - 2*f. Let g be d(2). Let l be (4\/10)\/(2\/20). Suppose -3*c + l*v = -144, -9 + 6 = v. Calculate the highest common factor of c and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11266 + 16559. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 198224 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 817.999998426 - 818. Round w to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 10.6. Let h = -0.196 + -4.804. Which is the closest to -1?  (a) h  (b) m  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*q - 26715 - 9565 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 40\/(-18) + 4\/18. Let j(k) = 3*k + 3 - k**2 - 2 - 11*k**3 + 9*k**3. Give j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 109*s**3 + 27*s**2 - 113*s + 55. Is p(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-2) - (-90)\/(-36). Let j be (-294)\/(-28)*p\/(-3). Calculate the greatest common factor of j and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1\/593 + -4747\/1779. Let n = -12 - -8. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 131, 0.2, 4, -2167, 0.1 in decreasing order.\nAnswer: 131, 4, 0.2, 0.1, -2167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 119839831 to the power of 1\/2, to the nearest integer?\nAnswer: 10947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -59515, -118565, -177615?\n\"Answer: -59050*d - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (212 + 57 + 6 - 48)*(-2*r**2 + 3*r**2 - 2*r**2).\nAnswer: -227*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, z: 1, r: 1, p: 1, w: 1}. Give prob of sequence repz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 7*n + 372. Let w be y(-52). Let s be -5*(112\/35)\/w. Which is the closest to -60?  (a) s  (b) 3\/2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -65, 5\/8 in ascending order.\nAnswer: -65, 5\/8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7 - (1 - -3)\/2. Suppose -2*u + k + x = 0, -5*u - 4*k + 0*k + 45 = 0. Let d = -354 - -364. Calculate the highest common divisor of d and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t + 2*t - 2*t)*(3 - 3 - 4*t) + 477*t**2 - 160*t**2 + 69*t**2.\nAnswer: 382*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17 - -13. Let m(i) = 28*i**2 + i + 2. Let y be m(a). Suppose 3*c = 4*r + r + 328, -y = -4*c - 2*r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 13. Let b = y + 6. What is the second biggest value in 1\/8, b, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - -1560806054?\nAnswer: 1560806065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of -7*v**3\/6 - 56*v. Let a be (-1 + 2)*1 + -4. What are the prime factors of g(a)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -5*a - 16, 0 = 2*a - 4*y - 4 - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -490, -3, -4.\nAnswer: -490, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 14\/3. What is the closest to -0.1 in 4, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 9*c**2 + 7*c + 14. Let w be j(8). Suppose 0 = -4*n + 2 + w. Solve n*x = 5*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6180.2 + -6180.277033. Let f = 6.279 - 6.202. Let y = f + w. What is y rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 10 = 0, -f - 3*f = -2*m + 110. What are the prime factors of m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1541 + -1540.9. What is the closest to 1\/2 in u, 0.05, -29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -6*a**2 + 3*a - 4. Let n(b) = -154*b**2 - 3 + 2*b + 313*b**2 - 164*b**2 + 6 - 6. Suppose r - 15 = -4*r. Give r*q(j) - 4*n(j).\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 16*h + 4*h + 19*h**2 + 11 + 7*h**2. Let j(y) = -5245 - 7*y - 5250 - 9*y**2 - 5251 + 15742. Determine -17*j(q) - 6*o(q).\nAnswer: -3*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = 321 + 470. Sort u, 5, -2, 3 in decreasing order.\nAnswer: 5, 3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of -h**6\/240 + h**4\/3 - h**2\/2 + 60*h. Let y(l) be the third derivative of t(l). Let j(f) = -4*f. Give y(j(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.11 + 0.11. Let i(p) = 3*p**2 - 6*p + 2. Let w be i(3). Suppose 4*r = w*r - 28. Which is the third smallest value?  (a) r  (b) u  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 5:56 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence atg when three letters picked without replacement from {j: 1, o: 1, a: 2, y: 1, g: 2, t: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 - (0\/5 + 3). Which is bigger: s or -2\/239?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*p + 5*p = 22. Let w(l) = 4*l**2 + 8*l + 19. What is the remainder when 33 is divided by w(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 7. Suppose g*v = l - 29, 3*l + 14 = -3*v + 41. What is the greatest common factor of l and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 15 = -1012*s + 1014*s, 4*g - 5*s - 21 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35.23162908 - 37.931625. Let j = 2.7 + o. What is j rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b + 123. What are the prime factors of w(12)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5614468021 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2226384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 95, 104, 103, 86, 47?\n\"Answer: -m**3 + m**2 + 13*m + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 914 + 6*r - 914. Let i(s) = 3*s. Give 3*c(o) - 5*i(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 12832, 12836, 12840, 12844?\n\"Answer: 4*j + 12828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2090886329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(2\/15))\/(f*f**(2\/25)\/f)*f*f\/(f\/f**(-1\/2))*f*f**(1\/2)\/f)**14 assuming f is positive.\nAnswer: f**(1876\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 6505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, a: 1, l: 3, c: 7, e: 3}. Give prob of picking 1 c and 1 l.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (956\/(-102637))\/((-155)\/(-14923)). Let y = 1\/102637 - p. Let m = 1\/310 + y. Calculate the common denominator of -25 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 5 + 118*s**3 + 22*s**2 - 981*s**3.\nAnswer: -863*s**3 + 22*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 487 + -490. Let i be (2\/(-1))\/(1 + -4). Is l bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1275618 is divided by 19312?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 11. Suppose b + k*d = 2 + 26, -b - 3*d + 24 = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2260.4735 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) -1  (c) 13413\/8  (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -2 + (-51 - -49) - (8 + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111110010001001100 (base 2) to base 4.\nAnswer: 332101030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 190607, -1, 14 in descending order.\nAnswer: 190607, 14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 196 and -77.\nAnswer: -15092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*k**3 - k**3 + 5*k**3.\nAnswer: 64*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 1:00 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*p - 61*p - 280 = -37. Let o(g) = 9*g**3 - 2*g**2. Let j(w) = -9*w**3 + 2*w**2. What is p*o(n) - 2*j(n)?\nAnswer: -9*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**2 - 18*j + 41. Let m be q(6). Suppose 10*o - 6*o = -5*c + 12, 15 = 5*o - m*c. Let k(a) = a**3 - 3*a**2 - 4*a. Give k(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -3. Let d = -1.97 + -0.03. Let x = 12 - 11.9. Which is the nearest to x?  (a) d  (b) n  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (12\/(-18) - (-1)\/3)*21. Let r = -1 + -6. Let u = p - r. Solve 3*d + 6 = 3*o, u = -4*d - 2*o + 4*o - 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of -x**3\/2 - x**2\/2 + 11*x. Let l = 11 - 0. Let y(n) = -6 - l*n + 2 + 8*n + 2. Calculate 4*r(d) - 3*y(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*t = -954 - 680. Let c be t\/30 + 3\/((-135)\/(-6)). Put 4, -5, -58, c in increasing order.\nAnswer: -58, -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -10 + (-2 - -12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.32 * 0.3.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 277 - 107. Let n be y\/15*-4*-37500. What is n rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 9*k**2 + 11*k - 11. Determine t(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11779*v + 11782*v - 3 - 21 = -2*w, 2*v - 2*w - 2*w = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 103, 208, 313, 418, 523?\n\"Answer: 105*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 4 + 5 = 3*j, -3*q = 2*j + 8. Is 2\/q - (-1 + -12) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - -32. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*d - 30*d**3 + 7*d - 18*d + 42*d**3 - 18*d**3 - 2*d.\nAnswer: -6*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*t**2 + t**3 - 6*t**3 - 16*t**2)*(-2*t**2 + 0 + 0).\nAnswer: 10*t**5 + 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 5*v**2 - 249*v + 3003. What is w(29)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 106*a**4 - 9*a**4 + 80*a**4 + (a**3 + a**3 - 3*a**3)*(-a - 3*a + 2*a) + 0*a**4 + 6*a**4 - a**4.\nAnswer: 184*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3079581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7644 divided by 78.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0036398659 to 5 dps.\nAnswer: 0.00364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 2.623389 kilograms?\nAnswer: 2623389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o - o + 0*o + (0*o - 3*o - o)*(-108 - 54 - 1) + (-5 + 2 + 4)*(o + 2*o - o).\nAnswer: 655*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 322*g**3*i**3 - 8*g**3 - 64*g - i**3 wrt i?\nAnswer: 966*g**3*i**2 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 460480*m - 5724 = 460372*m for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 h when three letters picked without replacement from {h: 2, q: 2, w: 1, k: 1, j: 1, i: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1353 = -86*s - 37*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, -1.44, 0.02?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmq when three letters picked without replacement from {q: 1, m: 2, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*m - 1099*m**2 - m**3 - 2 + 533*m**2 + 545*m**2 + 0*m**3 as v + o*m**3 + z*m**2 + b*m and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j + 12. Let x be m(6). Let d be (5\/(-15))\/(11\/x). Is d at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2 - 44149*z - 88302.\nAnswer: (z - 44151)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6345, -12689, -19033, -25377, -31721, -38065?\nAnswer: -44409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-39)\/26)\/((-3)\/4). What is the third smallest value in -3, x, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1aa7 (base 12) in base 6?\nAnswer: 23131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 73627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/3)\/((-5)\/170*170\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + 9 + 2 - 12) + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*(-1 + 0) - 3. Let g be (3 + 3\/z)*-2. Let f be 4*g\/(-3 + -3). Solve -2*t - 9 = -5*s, -15 = -f*t - 5*s + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 + 5. Is (-34 - 1)*(-6)\/h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.07, -308, -2\/3, -40661 in decreasing order.\nAnswer: -0.07, -2\/3, -308, -40661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - (-1 + 13 + (277 - 258)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1322120223 (base 4) in base 2?\nAnswer: -1111010011000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -181*h = -178*h - 5*z - 544, -5*h = 3*z - 884. What is the highest common divisor of 2403 and h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5907\/224 + 235\/32. Let a = 34 - c. Suppose 0 - 2\/7*d - a*d**2 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000904 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -191*b - 1146. Calculate j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -115*p**2 - 1035*p**2 - 10 - 11 + 21 as d*p + u*p**2 + n and give u.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the third derivative of -43*a**6\/20 - a**5\/60 + 7501*a**3\/6 - 144*a**2 - 7*a. Differentiate l(q) with respect to q.\nAnswer: -774*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3, -1\/5285, -1?\nAnswer: -1\/5285","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 32 + -26. Suppose -4*b + a*b = 4. Solve -5*s - 19 = -b*n + 10, 0 = -2*n + s + 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 6:59 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 (base 7) in base 16?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*i + l + 340 = 79*i, -2*i + 4*l = -20 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/4  (b) 5  (c) -0.5  (d) -353  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 26 - 13 = 4*j, -4*j + 16 = 0. Let p be (b + 12)\/(0 - 1). What are the prime factors of -1 - (-4 - 41) - p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 AM and 10:03 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66649, 67287, 67915, 68527, 69117?\nAnswer: 69679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.23?  (a) 5  (b) 1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3029, 3732, 4787, 6206, 8001, 10184, 12767, 15762?\nAnswer: 19181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of g**2 - 18*g - 13. Let h be c(25). Suppose -30*b = -h*b + 2. Sort 5, b, -7 in descending order.\nAnswer: 5, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - w = -33, 2*s - 1036*w - 65 = -1037*w for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 AM and 9:30 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1153860.\nAnswer: 2, 3, 5, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4, -26, -62, -112?\n\"Answer: -7*h**2 - h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -223  (b) -0.2  (c) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.97 + 0.9699738. Round d to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*j - 26. Let z = j + 7. Suppose q - z*q + 4*k = 0, 5*q + 2*k = 44. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/168843 and -62\/300981.\nAnswer: 6922563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 21132 (base 4) to base 15\nAnswer: 2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*f - 3. Let v(u) = 3*u + 2. Determine v(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2 - 449823*b\/5 - 3148026\/5.\nAnswer: -3*(b + 7)*(5*b + 149906)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4844458 or 4844416?\nAnswer: 4844416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**5 + 18*n**4 + 2*n**3 - 36*n**2 - n + 18 = 0. What is n?\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 860312.\nAnswer: 1720624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 o when three letters picked without replacement from ttttlottttttotottttt.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 12*v - 51990. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y. Let l(v) = 2*v. Let k(n) = -4*l(n) + 3*t(n). Suppose q = -0*q. Let x(h) = q*h**2 - 2*h**2 - h**2. Calculate x(k(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -420261 (base 8) to base 13\nAnswer: -4b613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 334412984 a multiple of 3502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 4 - 7 + 37*w in the form o + l*w and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 5 + g - 4*g**2 + 0 - 1 + g**3. Let o be i(3). Suppose 17 - 5 = -4*k. Put o, k, 2 in decreasing order.\nAnswer: 2, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(20\/3)*f)\/f**(-1\/11))\/((f\/(((f**(3\/2)*f)\/f*f)\/f))\/(((f*f*(((f*f\/(f*f**(-5\/4)*f))\/f)\/f)\/f*f*f)\/f)\/f*f)) assuming f is positive.\nAnswer: f**(1387\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-8) - 10\/(-4). Let b = 7 - j. Find the third derivative of 5*q**2 + 3*q**2 - 12*q**2 + 3*q**b wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 171 and 33?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-17 - (-18 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 57?  (a) 0.2  (b) -13  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 11:23 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1276, 1263, 1246, 1225, 1200, 1171, 1138?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3868486 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/3))**49*((j*j*j**0*j*j)\/j)**28 assuming j is positive.\nAnswer: j**(350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 5 - 2*u + (2*u - 2*u - u)*(-1 + 1 - 3) + 7*u - 2*u - 2*u + (2*u + 2*u - 5*u)*(-3 - 1 + 5) to the form k + p*u and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19776804 is divided by 12037?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 + 32*h - 222. Let d be f(21). Let t = -111 + 64. Let k be 2\/(-5) - t\/5. Solve j = 2*v + v - d, 5*j = 3*v - k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 - 4*p**2 - 3*p - 4. Let q = -10 + 15. Give g(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7224\/11 in 4, 0.2, 694, -0.4?\nAnswer: 694","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -491*y**3 + 1469*y**3 - 4491 - 485*y**3 - 531*y - 489*y**3 wrt y?\nAnswer: 12*y**2 - 531","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 9, y: 1, u: 2, v: 8}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 442220135?\nAnswer: -442220132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(125)*3*4*-1.\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 41232 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6996414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2653*b**2 - 1622*b**2 - 983*b**2 + 1026*b**2.\nAnswer: -4232*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate l**2 + 2599*l - 11403.\nAnswer: 2*l + 2599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n - n - 2*n. Let v(u) = -3*u**2 - 5*u + 5. Let j(b) = 2*b**2 + 3*b - 3. Let y(d) = 5*j(d) + 3*v(d). What is y(l(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*r**2 - r**2 + r**2)*(-14*r + 2*r**2 - 2 + 14*r) in the form t*r + m*r**3 + q + b*r**4 + h*r**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1125 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -603 + -11a014?\nAnswer: -11a617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 9 - 2*b**2 - 5 + (-1 + 1 - 2*b)*(-2*b - 3*b + 3*b) + 1 - b**2 - 1 in the form s*b + l + h*b**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in -0.5, 0, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of p**5\/60 + 5*p**3\/6 - 12*p**2. Let i(k) be the first derivative of j(k). Let x(m) = -8*m. Calculate x(i(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -4*p - 3*n, -4*p + 5*n + 14 = 6. Suppose -4*x + 10 = j, 2*j - 6*j + 4*x = 0. What is the derivative of -3*s**4 + 18*s**j - 18*s**2 - p wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -318, -27, -4, -2, -146 in decreasing order.\nAnswer: -2, -4, -27, -146, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 157269960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 77350 and 2003365?\nAnswer: 20033650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 3:14 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 14 = -m, -5*a - 8 = -9*m + 11*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.13?  (a) -1  (b) 46929  (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y**2 + 36*y + 3. Suppose 25 + 35 = 5*v. Let s be q(v). Which is smaller: s or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 + 6*o**2 + 52*o - 310. Let x be n(7). Sort x, 6, -4 in decreasing order.\nAnswer: 6, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -9*d**5\/7 - 2252*d**4\/7 - 32225*d**3\/7 - 7050*d**2\/7 = 0.\nAnswer: -235, -15, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -441 - 100313101?\nAnswer: -100314042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2769, -2726, -2637, -2490, -2273, -1974?\n\"Answer: 2*p**3 + 11*p**2 - 4*p - 2778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3666763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4\/4 - 19*h**3\/4 - 63*h**2\/4 + 187*h\/4 - 26.\nAnswer: -(h - 1)**2*(h + 8)*(h + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1140*l + 56 + 670 = -414*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13\/730 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -21 - (0 + 10 - -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1*175\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 40\/18*3\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/7)*l*l**(-5))\/(l*l**5*l*l**(1\/13)\/l) assuming l is positive.\nAnswer: l**(-943\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 5*g**2 + 3*g. Let h be l(3). Suppose -3*v + 3 = -h. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 93038605 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 542 * -0.1.\nAnswer: -54.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/3 + 10*-2*80\/(-150)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -3*w**3 - 11*w**2 + 10*w - 4. Let v(h) = -7*h**3 - 23*h**2 + 20*h - 7. Let n = -28 - -30. Let i(z) = n*v(z) - 5*x(z). What is i(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1482 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.02 and 764.\nAnswer: 764.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**2*k\/(k*k\/(k*k*k\/k**14*k*k))*k*(k*k\/(k**6\/k*k)*k)**(-40) assuming k is positive.\nAnswer: k**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1121, -0.13, -0.4, -4, -47 in increasing order.\nAnswer: -47, -4, -0.4, -0.13, 1121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(5))**2*3 - (-4 + sqrt(20))**2.\nAnswer: -14*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -8*s - 14. Determine n(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00007038537 to six decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1441739.8439818 - 1441740. Let h = r + 0.156. Round h to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -15\/22  (b) 5  (c) -0.18  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*p = -17585 + 2345. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = -8*s + 7*s + 29 - 4, 0 = -4*s - 2*p - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49472606?\nAnswer: 2, 24736303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 2583882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1562, 1635, 1764, 1955, 2214, 2547?\n\"Answer: v**3 + 22*v**2 + 1539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 466345.4g?\nAnswer: 0.4663454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 16\/(-144)*-5*6\/4. Suppose -h - 10 = -6*h. Is h less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 - -8. Let r = 2 - i. Let k = r - 1. Solve -k*o - 5*m + 14 = -10*m, 0 = -5*o - 4*m + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 7:44 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.6080511g?\nAnswer: 608051.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n - 4. Let r be j(7). Suppose -o - 62 = -3*i, 2*o + r*o - 10 = -i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -5*y**2 - 7*y - 9. Suppose 0 = 4*f - 2*f - b + 18, -4*b + 9 = -f. Let l(x) = -x**2 - 2*x - 2. Give f*l(o) + 2*r(o).\nAnswer: -o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14486775 is divided by 1286?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.151473293 rounded to four dps?\nAnswer: 8.1515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-36 - (-130 - -16)) + 3 + 1 + -17\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**3 + 5*z**3 - 17*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2273096*c**5 + c**4 + 788*c**2 + 1029*c - 1.\nAnswer: -136385760*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 11\/1427 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = 30*p + 170 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13377 or -13392?\nAnswer: -13377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -12*v**3 - 12*v**2 + v - 26. Is z(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2. Let q(w) = -7*w**2 + 4*w. Let n(p) = 6*p**2 - 3*p. Let d(f) = 4*n(f) + 3*q(f). What is r(d(u))?\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 307.7 * -2279\nAnswer: -701248.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4305.\nAnswer: 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 49 + -2. Let t = i - 44. Let k(q) = -q**3 - 4*q**2 - 4*q - 1. Let b be k(-3). Solve -t*p - 6 = p + y, -4*p = -b*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 2076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/7  (b) 0  (c) 1.6081\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -1497333.\nAnswer: -299466.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 190*f + 189*f**5 - 302*f**2 - 294*f**2 + 594*f**2 wrt f?\nAnswer: 11340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1471*m**2 - 1471*m**2 + 16*m**3.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -238\/11, 1\/5, 20\/11.\nAnswer: -238\/11, -2\/9, 1\/5, 20\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 + l + 1. Let g(t) = 5*t**2 + 6*t. Let m(s) = g(s) - 4*n(s). Suppose 2 = -4*o - 10. Give m(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 5*u - 23 = 0, 87 = -4*p + 4*u + 59 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in sixteen ninths of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2536 - 2528 - (1 - 32).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n**2 + 10*n**2 - 6 + 11 - 4*n**2.\nAnswer: 10*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/87230 and 59\/9360?\nAnswer: 6280560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 22835 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n**3 + 12*n**2 + 2*n - 8. Let g be r(-8). Round g to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g**3 + 45040*g**2 + 1395279*g = 0. What is g?\nAnswer: -45009, -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5b40481c - 4?\nAnswer: 5b404818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.91 + 102.09. Which is the smallest value?  (a) 3  (b) 0.1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = f + 4*k + 5, 5*f - k - 30 = 0. Let s(v) = f*v + 2*v - 7*v**2 - 3*v - 15 + 18 + 6*v**2. Let h(w) = w**2 - 3*w + 1. Let m be h(4). Give s(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xyxycxxyxxycx. What is prob of picking 1 x and 1 c?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*c = -38*c + 18*c - 50 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.849 + -0.149. Sort d, 8, 0.4 in increasing order.\nAnswer: 0.4, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1491254 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*h**2\/3 + 92*h\/3 + 21 = 0. What is h?\nAnswer: -63\/29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m*m*m**1)**(-1\/7)*(m**(-3))**0)**(-36) assuming m is positive.\nAnswer: m**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1\/2, -8, 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5703084958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3010 - 231030?\nAnswer: -234040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1129140979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3*b = 3, 0 = -5*v + b - 0*b + 25. Let n = -4 + v. Solve -2*t = n + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hmhhmmmmmmhhm?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 + 25*v - 4. Let h(n) = n. Let i(c) = 5*h(c) - r(c). What is the least common multiple of i(-20) and 31?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 29, 0.2, -0.5, -10\/11, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -227*q**2. Let k(u) = -164 - 2*u + 335 - 2*u - 171. What is k(g(l))?\nAnswer: 908*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*o - 7*o + 2*x + 9, 63 - 66 = -o - 2*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 12, -19 = 2*z - 7*z + 3*n. Let s(w) be the second derivative of -5\/39*w**3 - z*w + 0 + 2\/13*w**2 - 7\/78*w**4. Suppose s(y) = 0. Calculate y.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14)\/(-8) + 5\/20. Let o be v\/(-11) + (16\/(-44))\/(-2). Let j(t) = -t**2 + 2*t - 4. Let x be j(o). Put 1\/6, x, -3\/4 in decreasing order.\nAnswer: 1\/6, -3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y + 18 - 3 - 12 + 3*y. Suppose 2*o - 5*p + 5 = 0, 21*o - 19*o = 3*p - 3. Give f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.6676469 and -9871?\nAnswer: 9872.6676469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) -5  (c) 4  (d) -216\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 676187418 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*n - 16*n + 7 = l, 3*n + 8 = -l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2*t**2 + 15*t + 1. Let f be n(8). Let j = f + -9. Let y be 9\/2 - 8\/j. Solve 0 = 2*u - l - 2, 3*u + y*l + 17 = 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}