diff --git "a/data/dm_maths/full_data_1/1720_11255.jsonl" "b/data/dm_maths/full_data_1/1720_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1720_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 418 minutes before 9:20 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 15. Let g be (-520)\/(-56) + (-2)\/7. Let j be ((-80)\/15)\/((-6)\/g). Let o be y(j). Is -4\/15 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250 divided by 37780\nAnswer: 25\/3778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 67*p - 324 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 205\/2772 - (-238)\/(-7854). Let w(z) be the third derivative of 1\/1260*z**6 + 28*z**2 + q*z**4 - 1\/90*z**5 + 0*z - 5\/63*z**3 + 0. Factor w(i).\nAnswer: 2*(i - 5)*(i - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8567?\nAnswer: 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1. Let y(c) be the third derivative of -3*c**2 + 0*c + 0 + 1\/12*c**4 - 5\/6*c**3. Give -3*t(o) - y(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiaaieiaigieipip. Give prob of picking 1 g and 1 p.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49518 + -33701. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -3*sqrt(931) + -3 + 5)**2.\nAnswer: -56*sqrt(19) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.76 - 0.04. Let g = -1.97 - 0.03. Let s = t - g. Which is the third smallest value? (a) -2\/3 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3*y**3 + 2*f**3*y - 23619*f**2*y + 1020*f*y**3 - 2*f*y**2 wrt y.\nAnswer: -18*f**3*y + 6120*f*y - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 515161*s**5 - 56160*s**2.\nAnswer: 30909660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -22508 less than or equal to -22243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12\/35 of a week?\nAnswer: 3456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35047639 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/14 - 10\/(-35). Sort 5, v, -7 in increasing order.\nAnswer: -7, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 21 + 5. Let z be h\/(-14) + (-240)\/(-56). Solve 5*x + 26 = 3*i, z*i = 2*x + x + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 0 - 8 + 3)*(10 - 34*t - 10 + t**2) in the form u*t**3 + x*t + i*t**2 + g and give x.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*14 + (-30)\/(-15). What are the prime factors of (0 - (-54)\/l)*-2 - -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5.06. Let c = -1583 + 1588. Let u = 81 - 565\/7. Sort c, w, u in descending order.\nAnswer: c, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j + 2. Let u be v(-2). Let a be ((-1)\/3)\/((-4)\/u). Let q be (-1)\/(-3) - 1 - a. Is q <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336540 and 72?\nAnswer: 2019240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bcc9d (base 15) to base 13.\nAnswer: 387ac6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46.00000064 - 46. Round a to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 9530*z - 38136.\nAnswer: (z - 9534)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10402 + 2103022?\nAnswer: 2042120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1316)\/(-44) + (1 - 0). Let n = d - 31. Let v = 1409.8 - 1410. What is the third biggest value in n, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832.651 millennia in months?\nAnswer: 21991812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(-3) - ((-16)\/56)\/(42\/(-245)). Let u = -4.4 + 4. Let y = 29 + -29.1. What is the smallest value in 3, u, y, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, 2\/15, -2\/39, 2, -0.69, 3\/4, -0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-16)\/54)\/((-170)\/(-357)))\/((-4)\/10). Solve 2\/9*m**3 + 14\/9 - 2\/9*m - k*m**2 = 0 for m.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/24)\/((-28)\/48). Find k, given that 3\/7*k**2 - i + 3\/7*k = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - b + 0 = -8, 0 = -2*c + 4*b - 4. Let t be (0*(-2)\/(-4))\/c. Solve t = -o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 9 + (-1 - -19) + -20?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12351 and 181327?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -40.9. Let l = -2539\/11 + 231. What is the third biggest value in 0.5, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 6*p**2 - 7*p + 6. Suppose -16*l = -15*l - 24. Let a be 5 + l\/15 + 2\/5. What is v(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -m - u, -u + 13 = -5*m. Find the common denominator of (-119)\/153*11\/m and -17\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144667 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.7 - -16. Let i = q + -0.3. Let c = 556 - 11678\/21. Sort 2\/17, c, i in increasing order.\nAnswer: i, c, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/5 in 8, -0.6, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 666376, 1333433, 2000490, 2667547, 3334604?\nAnswer: 4001661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236519 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 44420977\nAnswer: -533051724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 17*a - 4. Let s be g(-6). Let b = s + 185. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**4\/4 - 3*v + 4. What is the first derivative of r(d) wrt d?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 14*x + 2. Let f be n(7). Suppose d - 1 = -m, 4*d + f*m - 3 = d. Suppose -25*r = 17*r + 42. Put d, r, 2 in decreasing order.\nAnswer: 2, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-12)*-62 - (46 + -41). Let d = -251\/4 + 62. Which is the nearest to l? (a) -3 (b) d (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 10*o - 2389 = -b, 5*o + 7175 = 3*b. What is the remainder when b is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -34*v - 3. Let u be t(-3). Let f be (4*2)\/(0 - -1). Suppose -f*d + 3*d = -55. Calculate the greatest common factor of d and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 - 73. What is the second derivative of -14*c**5 + 31*c**2 + 33*c**2 + 19*c - v*c**2 wrt c?\nAnswer: -280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3351*i**3 + 2*i + 10. Let f(a) = 1068976*a**3 + 639*a + 3195. What is 1278*c(o) - 4*f(o)?\nAnswer: 6674*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 19 + 8*d + 19.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 142097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4 - 3*p**2 - 2*p - 3*p - 4*p - 6. Let m be y(-2). Solve -2*v + 2 + 0 = 5*b, 0 = m*b - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 + 23*c**4 + 3*c**3 + 26*c**2 - 9*c wrt c?\nAnswer: 120*c**2 + 552*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-seven quarters of a century?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a5 (base 12) to base 7.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -592*p - 33*p + 16*p + 62*p - 671*p to the form g*p + u and give g.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6728885 litres?\nAnswer: 672.8885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.040659 - -1.959341. Let w = -2.5 - 0.5. Sort 5, w, d, 0.11 in decreasing order.\nAnswer: 5, d, 0.11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, -11, -29, -55, -89, -131, -181?\n\"Answer: -4*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36595, -73196, -109843, -146560, -183371, -220300, -257371?\nAnswer: -294608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.373964nm in meters?\nAnswer: 0.000000000373964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*m = -19 - 1, 4*s - 2*m = -8. Let u be (-14 - -13)*5\/(-1). Sort s, u, -4 in decreasing order.\nAnswer: u, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 14)\/(-3)*(-3 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 614\/(-3256) - (-6)\/33 and (1\/6)\/(2\/28*-6)?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6069011 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:05 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -459755, -919123, -1378491?\n\"Answer: -459368*i - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n - n - 10 + 7*n - n + 0*n + 0*n + (2 + 1 - 1)*(-3 + 3 - 2*n) + 2*n + 1 - 1.\nAnswer: -6*n - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 187, -1\/7 in ascending order.\nAnswer: -1\/7, 5\/2, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*u - 103*u - 2917 = -3*l, 3*u + 3861 = 4*l. Calculate the greatest common divisor of l and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 72?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**5 + 9*a**4 + 7*a**3 - 10*a**2 + 5*a. Let d(y) = 5*y**5 + 10*y**4 + 7*y**3 - 10*y**2 + 6*y. Let i(x) = 5*d(x) - 6*w(x). What is k in i(k) = 0?\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from {s: 11, t: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) + (sqrt(2160) - sqrt(2160)*-1))\/(sqrt(1728) - 2*sqrt(1728)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28779 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1355459 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1182670.9*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2941 + 2831 - (-13 - 5)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - -8)*14\/(-126))\/(28\/24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-8) - (-11)\/(-4). Let j = -26 - -28. What is the closest to a in 2\/5, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12120210312 (base 4) to base 10.\nAnswer: 1673526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87175 and 33754160?\nAnswer: 168770800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2439912990 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*p - 2*p + 28, 29 = 2*p - r. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 35 = -2*f + 5*v, -2*f - 6 = v. Suppose 3*z + 15 = -5*q, 0 = -5*z + q + 8 - 5. Let y = -7 + 4. Put f, z, y in descending order.\nAnswer: z, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, o: 1, s: 1, w: 6, b: 1, n: 1}. What is prob of sequence nst?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -6. Let h = -2 - p. What is the third derivative of 3*i**5 - 5*i**5 - 3 + 2*i**h + 3 wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -883743*c**4 - 1000104?\nAnswer: -3534972*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10233313 - -30131?\nAnswer: -10203122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -t + 3636730, 4*t + 6*o = 9*o + 14546815. Round t to the nearest ten thousand.\nAnswer: 3640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-4) + 20\/(-16). Let x(p) = p**2 + p. What is x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3818845 litres?\nAnswer: 381.8845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-18))\/(1*1\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 128, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4) + -4 - (-5 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -16*c - 56*c + 36*c**2 + 99*c + 6 + 15*c**3 = 0?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49470.\nAnswer: 2, 3, 5, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00060166 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -11. Is (75\/d)\/(3\/8) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3 + 59499454*j**2 + 1019990355 with respect to j.\nAnswer: 6*j**2 + 118998908*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-4)\/84)*2\/(-6). Let g(k) = k**3 + 11*k**2 + 5*k - 4. Is g(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (32 - -40641) + -23 + (0 - 0).\nAnswer: 2, 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 8\/83 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*d + 2*s + 11, 8*d - 42 = -2*s. Solve 0 = -y + 2*y - d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/(-8) - 5)*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -293 - -42481\/145. Let v = x - -608\/1015. Factor 2\/7*m**4 - 2\/7*m**3 + 2\/7*m + v - 6\/7*m**2.\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -837\/25 (b) -1\/8 (c) 7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 5, -8, 52 in decreasing order.\nAnswer: 52, 5, 4, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) -9\/2 (c) 0.1 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6977521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 182710212.3 milliseconds?\nAnswer: 0.30210021875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -280*a**2 + 6*a - 6. Calculate r(1).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6876 and 711?\nAnswer: 543204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let m = r + 3. Let h be (6 + -2)*(4 - 5). Which is the third biggest value? (a) m (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 9. Suppose g*m + 6 = -9. Let b(f) be the third derivative of -f**5\/60 - f**4\/6 + f**3 + f**2. What is b(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 1. Let g(a) = -4*a - 3. Let s(k) = -g(k) - 5*o(k). What is s(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 at most -131107\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -39819\/7 at least -5688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j + 0*j - 3*j + 10*j. What is a(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11110101100010111010 (base 2) to base 12\nAnswer: 40604a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (292503\/(-4))\/((-2)\/(-8)). Let x be (3 + v)\/(6\/(-8)). Suppose 0 = o - 2*o - x. What is o rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 316. Let u(s) be the third derivative of -s**5\/60 - 3821*s**2. Give u(g(k)).\nAnswer: -k**2 + 632*k - 99856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 57 = -43. Suppose -4*g = -20, -k = -4*c - 2*g + g. Let j = 0.48 - 0.38. What is the closest to j in -0.2, c, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 34.9.\nAnswer: -13.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1542.218734 + -1538.918. Let l = 3.3 - o. Round l to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 t when four letters picked without replacement from {l: 1, t: 3, b: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1070 and 62?\nAnswer: 33170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/5)\/f*f**(-11\/4))\/((f*f\/f**(4\/13)*f)\/(f*f*f**1*f)))**(-1\/10) assuming f is positive.\nAnswer: f**(583\/2600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j + 375 = j + 45*j for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 502929397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o + 103. Let x be b(15). Does 4 divide ((-11)\/4 - 1)\/(x\/(-1040))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351359219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9083272 is divided by 275.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 58\/3 - (-2)\/(-6). Suppose b*p - 275 = 8*p. What is the remainder when p is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020813 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 106+-22\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o*o*o**(-19)*o*o*o)\/o)\/o)\/(o*o\/o**(1\/4)) assuming o is positive.\nAnswer: o**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-2) + (-341)\/31. Which is the nearest to -0.1? (a) -0.3 (b) y (c) -2\/13 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225)\/(-180))\/((-21)\/12)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1179 + 69.2.\nAnswer: 69.0821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 0*b**2 + 0*b**2)*(-191*b + 324*b + 69 - 65).\nAnswer: 399*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*l + 177 + 72 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6066341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 11:31 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and ((-2)\/(-2))\/((10\/(-5))\/(-522)) - 6.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 7)*(-2 - k**5 + 2) + 2 - k**5 - 2 + (-3 + 3 - 2*k**2)*(-3*k**2 + 3*k**2 - 2*k**3) + 2*k**5 + 2*k**5 - 2*k**5.\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 24. Let p be o(12). Let m be 3*((1340\/12)\/(-5) + p). Is m bigger than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000256574 rounded to six decimal places?\nAnswer: -0.000257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.01, -3, 206 in ascending order.\nAnswer: -6.01, -3, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5619306.\nAnswer: 2, 3, 7, 11, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.31 + 0.044. Let r = q + 0.015. Round r to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + (-160)\/6)*(3 - 0). What is the common denominator of -8 - p\/8 - 16\/(-5) and 133\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100000001 (base 2) to base 3.\nAnswer: -10212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -87, -726, -2457, -5826, -11379?\n\"Answer: -91*x**3 - 2*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 37. Which is the nearest to 0.1? (a) n (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 16 = -4*r, 0 = 4*r - u - 13 + 5. Suppose -3*y + 0*y = -3. Solve -5 - y = r*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33541, -33544, -33549, -33556?\nAnswer: -33565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Calculate the remainder when 1105 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:00 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 23*l**3 + 4*l**2 + 2*l - 20*l**3 + 42*l**3. Suppose 2*r + 3*h - 9 = -3*r, 2*r + 4*h + 2 = 0. What is u(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202420892 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21220555 + -114?\nAnswer: -21221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87525242 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -3*u + 2550. Let h be -1 - (u\/5 - 0). Suppose -3*n = 2*w - h, 5*w = n - 5*n + 217. What is the greatest common divisor of 90 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-5) + (-4)\/(-10). Let f be (4\/b*-2)\/(2\/(-12)). Solve 0 = 4*k + l + f, 3*l - 4 = -k - 0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96597 is divided by 926.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-8) - 959\/(-11508)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24.426, -0.25, 5.\nAnswer: -24.426, -0.25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/10*(-12)\/168*154?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 12 = 5*y, -2 = m + 5*y - 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 70, 54, 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-848*j - 22*j**2 + 848*j)*(197*j**3 - 394*j**3 - 195*j**3).\nAnswer: 8624*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = 17 - 56 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674544.\nAnswer: 2, 104659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -151. Let a = 1123 + -1101. Calculate the remainder when h is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006474 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140194 or -140195?\nAnswer: -140195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 8) to base 11\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 174, 183, 206, 249, 318, 419?\n\"Answer: m**3 + m**2 - m + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12620 and 10?\nAnswer: 12620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 786, 1575, 2366, 3159, 3954, 4751, 5550?\nAnswer: 6351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136476717 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/26758536 and 47\/107464.\nAnswer: 26758536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131 - -129.6. Round r to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n = 93*n - 825 - 995 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1. Let a(j) = 2*j - 13. Calculate -a(v) + 4*u(v).\nAnswer: -2*v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*b - 17*b + 96 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 3)*(-h + 2*h - 2*h) + 2 - 2 + 2*h - 9*h - 26 + 26 as p*h + a and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2099052 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 q when four letters picked without replacement from vvvfvvfvqvvqv?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*l - 6, -3*c - 6 = -l - 7*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -253, 890, -3.\nAnswer: -253, -3, 1, 4, 890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11405 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*d = 3*d. Suppose d = -5*u + 4*g + 6, -12 = -4*u - 3*g - g. Solve 4 = a - u*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186026 and 2726?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -70\/11?\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 29 + h - 9 - h**2 + 5*h**2 - 26*h.\nAnswer: 5*(h - 4)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 2:06 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 140. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-29))**(-8\/3) assuming v is positive.\nAnswer: v**(232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00339651382 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 161135.\nAnswer: 10\/32227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*k = -15, 13 = n - k + 2. Solve 7*x - 31 = -n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4706*p + 4708*p - 9392*p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, 16 = s - 2*j - 103. Let x be ((-16)\/(-20))\/((-2)\/(-85)). Suppose 0 = 2*v - 4*v + x. What is the highest common divisor of s and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/7 - 6*g**3\/7 - 4*g**2\/7.\nAnswer: -2*g**2*(g + 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10015840, 20031683, 30047526, 40063369?\n\"Answer: 10015843*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/20 and -157\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 9 = 5*r, 3*r - 2*s + 11 - 6 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*g - 24. Let b(z) = z - 1. Let u be b(g). Suppose u*j - 24 = -3*j. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 4\/7, 34, -57388.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -71*t**4\/4 + t**2\/2 - 10*t - 106. Find the second derivative of b(l) wrt l.\nAnswer: -426*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -13*r**2 - 3. Let u = 5 + -7. Let v be n(u). Let g be 22\/v + (-2)\/(-5). Solve g = -5*d + 3*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -63.5. What is the closest to 1 in -5, 8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m\/m**(-4))*m))\/(m\/(m**8\/m)))\/(m**(-2\/11)\/m)**(13\/6) assuming m is positive.\nAnswer: m**(895\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let c be u - (-1 + -1) - 1. Let t(q) = -4*q**2 + 7*q**2 - q - 2*q**c. Let l(h) = 4*h**2 - 6*h + 2. What is -l(g) + 6*t(g)?\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k = -28*k + 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 2, q: 3, t: 1, v: 2, o: 8}. What is prob of sequence vqqw?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -890*d - 139*d + 13377 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4892?\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81963 at least 81965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -328*b - 1302. Does 207 divide q(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = -14. Let w(g) be the second derivative of 0 + 0*g**i + 1\/12*g**4 + g + 0*g**2 - 1\/10*g**5. What is the third derivative of w(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spxx. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/9*531\/(-4). Let o = 584 - x. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 645613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2370 - -2446. Solve 0 = -i*x + 91*x + 30 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15577?\nAnswer: 37, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(125) - 3*sqrt(125))*-4*6)**2.\nAnswer: 2592000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/227337 and -27\/530453.\nAnswer: 1591359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7077837 + -3352229?\nAnswer: -10430066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*w - 57*w = 3444*w + 65090 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*q - 330 = 67*q. Let r = 824 - q. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) + 1\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u, 2*h + u - 100 = 6*u. What are the prime factors of (-2)\/(-4) - h\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhbbbhhcbyc. What is prob of picking 1 y and 1 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**(-1)))**(-41)*(c\/(c*c**5))\/(c\/c**(2\/15)) assuming c is positive.\nAnswer: c**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9858215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -1\/3*q**3 + 3 - 1\/8*q**4 + q + 1\/4*q**2. Find o such that k(o) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 8206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 69 = -4*x + g, 5*g = -5*x + 125. Which is greater: 138\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:19 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4828709573 to the nearest integer?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115 and 31194790.\nAnswer: 717480170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*k + 16. Let h be 3\/4 - (-38)\/k. Let d = -4 - h. Which is the third smallest value? (a) 3\/5 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13 - 7) + -8 + (-2)\/(-3). Let t = -301 - -2407\/8. What is the nearest to t in -4, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5647 + 5656 - 2*z**2 + 23*z**2)*(-3*z**3 + 4*z**3 - 2*z**3).\nAnswer: -21*z**5 - 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7905398561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10914)\/(-2354) + 5\/(-1). Is r <= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/40 - (-32)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880624?\nAnswer: 2, 23, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(209) - sqrt(209)) + 1*(sqrt(209) - sqrt(209)*2 - sqrt(209)))\/((sqrt(66) + -4*sqrt(66)*-3 + sqrt(66))\/sqrt(6)).\nAnswer: sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 330734*b**5 + b**2 - 241*b + 1 wrt b.\nAnswer: 19844040*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 160?\nAnswer: 11\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 5\/2 (b) -147.56 (c) -1 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12464559, 99716499, 336543185, 797731989, 1558070283, 2692345439, 4275344829?\n\"Answer: 12464562*f**3 + f**2 + 3*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzy when three letters picked without replacement from yucgzzcyuuuzyggzuz.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*i + 6, 20*g + 4*i + 8 = 16*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 66. Let m(g) = -3*g. Give l(m(x)).\nAnswer: -6*x + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -81*v + 1. Let s be l(-4). Suppose -400 = -5*r + s. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4412 or 4413?\nAnswer: 4412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/5 + 201309*w**4\/5 + 2415372*w**3\/5 + 6440592*w**2\/5 - 9661536*w\/5 - 28983312\/5 = 0.\nAnswer: -67091, -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1096 - 728. Calculate the greatest common factor of 112 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34121 and 15049.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 24, -553?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(45\/8))\/(((-64)\/(-72))\/2)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4044*g + 11. Let i(f) = 2702*f + 7. Calculate -8*i(w) + 5*o(w).\nAnswer: -1396*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 82\/4 - (7 - 65\/10). Solve 4*y + y = d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 496800 and 151800.\nAnswer: 5464800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c08 (base 14) to base 6.\nAnswer: -14532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 - 7*h - 7. Let c(a) = -3*a**2 - 4*a - 4. Let r(q) = -7*c(q) + 4*w(q). Let b(d) = -d - 22*d**2 + 26*d**2 + d. Determine r(b(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8298 (base 10) in base 7?\nAnswer: 33123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d - 9. Let b(a) = -3*a + a - 2*a + d*a. Let c(r) be the second derivative of -5*r**4\/12 + 72*r. What is b(c(k))?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/90)\/((-1)\/18). Let y be ((-3299)\/36)\/(s\/(-18)). Let d = 8429\/30 + y. What is the common denominator of -33\/32 and d?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -179, 1, 5 in decreasing order.\nAnswer: 5, 1, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = -5*j - 3*b - 274, -5*j - b = 445. Is j > -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 53.7. Let t = v + -0.3. What is the second smallest value in -1, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yppityijiiiitiitj. Give prob of picking 1 t and 2 i.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*b - 282*b - 14229 = 0. What are the prime factors of b?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40.5, -0.161, 10.\nAnswer: -0.161, 10, 40.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -46. Let c = -17.62 + 17.5. Put c, -5, h in descending order.\nAnswer: h, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 276 - 261. Calculate the smallest common multiple of 27 and h.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169984355 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244447?\nAnswer: 7, 47, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.115, 1.076, -1 in increasing order.\nAnswer: -1, 0.115, 1.076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -32*o + 997. What is the remainder when 1804 is divided by t(30)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1217*x - 18*x**2 + 448*x + 443*x + 326*x.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/2 + 4329*v**2\/2 - 133920*v + 2118144.\nAnswer: -3*(v - 1379)*(v - 32)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 27 = -5*o + 67, -5*o - 5*y + 40 = 0. Let m(s) = 37*s**3 - 6*s**2 + 5*s. Let p be m(o). What is p rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {p: 1, d: 1, o: 1, t: 1, u: 1, q: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1330404 and 13116.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2951947.24 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6796768 and -105\/1699192.\nAnswer: 6796768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16068802649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 + 2)*(q - q + q) + 0*q + q + q + (1 + 1 + 1)*(0*q + q - 2*q) + 1 - 1 + 2*q)*(5*q**2 + 31 - 31) as f*q + h + j*q**3 + o*q**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/5 + 28\/(-32)*-4. What is the closest to -1 in -0.1, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.123 in -5, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:44 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - h = -2*h, -3*r + 8 = -h. Let l be (1 + (-6)\/r)*-2. Let x be (1 - l)*(-3)\/6. Solve -5*g + 3*g + 4*k + 10 = x, -5*g + 1 = -4*k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-145427753\nAnswer: -29085550.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3607085 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57.7 - 61. Let f = 3 + l. Sort f, -1\/4, -2\/17 in descending order.\nAnswer: -2\/17, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 150 - 146. Solve w = 2*w - v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10\/9 (b) 10 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 98, 141, 180, 215, 246, 273, 296?\n\"Answer: -2*f**2 + 49*f + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1776, 2013, 3392, 6483, 11856, 20081?\nAnswer: 31728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**4\/24 - z**3\/2 - z**2. Let r be o(8). Suppose 0 = 2*k + 5*y - 10, -3*k + 0*y = 4*y - 1. Put k, r, 3 in descending order.\nAnswer: r, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1611, -3253, -4895?\n\"Answer: -1642*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12120 (base 4) to base 12\nAnswer: -2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 82. Suppose -5*z + 660 = 2*u, z - 2*u - o = 99. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {m: 1, y: 1, r: 1, e: 1, h: 1, o: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -16 - 44 - (-14 + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.547906ug to tonnes.\nAnswer: 0.000000000005547906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4416 and 33488.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1864 and 1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22112 (base 3) in base 7?\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62297, -124729, -187435, -250553, -314221?\n\"Answer: -23*r**3 + r**2 - 62274*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 14*x + 5. Let o be i(-14). What is the highest common factor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v - 306 = -23*v - 28*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 8)*(4*h**3 + 3*h**3 - 5*h**3) + (2*h**2 + 4*h**2 - 4*h**2)*(-3*h + 3*h + 2*h).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2868419.\nAnswer: 29, 98911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106332 divided by -12.\nAnswer: -8861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 48.87024 decades?\nAnswer: 4.887024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**2 - 137*q - 11. Determine i(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21422 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 109*q + 16. Let y be k(11). Suppose 10*b + 5*b = y. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/3)*y\/(((y*y\/(((y*y**(-10\/7))\/y)\/y*y))\/y)\/y)*y**(2\/15)*(y*y**(-10\/3)\/y)\/y)**(-23) assuming y is positive.\nAnswer: y**(7153\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2247, 2357, 2467, 2577, 2687, 2797?\nAnswer: 2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -25, 0.4, -3, 3\/8, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2193*f - 224*f + 1543*f.\nAnswer: 3512*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(84\/98 + (-93)\/84).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*x - 108 = -47*x. Let v = -8 - -7.7. Sort -0.1, x, -5, v.\nAnswer: x, -5, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 7*q + 5. Let z be l(2). Let i be 290\/15 + z\/3. Let -6*w + 7*w + i*w + 75*w**2 - 20*w**3 = 0. What is w?\nAnswer: -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 714053*c**3 - 238029*c**3 - 238018*c**3 - 238009*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 105758958*x**2. Let d(m) = -m. Give d(f(j)).\nAnswer: -105758958*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 + 5*z**2 + (-3 - z**2 + 3)*(0 - 5 + 2))*(-10*z - 6 + 6).\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9668 is divided by 3220.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + 3 - 3)*(0*a + 3*a - 2*a) + (2*a**2 - 2*a**2 - a**4)*(-a + 2 - 2) - a**5 + 0*a**5 - a**5 + 2*a**5 - a**4 + a**4.\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47\/66 + 1\/22. Let z = 0.1 - 3.1. Put -2, z, f in decreasing order.\nAnswer: f, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075169?\nAnswer: 1075169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/35 and 9\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 37. Let o be y(0). What is the units digit of -1 - (-1 + 3 - o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1018*y - 34348. Determine m(34).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0 + 16 = 0. Calculate the greatest common divisor of z and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1086 or 1005?\nAnswer: 1005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3052.6551 to the nearest ten.\nAnswer: -3050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 192420203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400\/175*(-497)\/(-213)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s + 47. Let b be p(-9). Factor 0*x + 0*x**b - 2\/9*x**3 + 0.\nAnswer: -2*x**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 49*v - 151. Calculate the remainder when w(18) is divided by 148.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i - 46. List the prime factors of a(-14).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 7 = 5*p - 19, 2*g - 8 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22\/2376*18)\/(2\/(-220)))\/((-10)\/(-30)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.017 - 20.004162. Round t to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81389*b - 81373*b + 224 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005799*q - 1005799*q + 73*q**2.\nAnswer: 73*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, 2, -0.2704, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5 - 79*i**2 + 4 + 80*i**2 + 1. Let v(s) be the third derivative of -17*s**5\/60 - s**2. Calculate v(q(f)).\nAnswer: -17*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/3, -0.0479, -73, 6?\nAnswer: -0.0479","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 9. Let f be y(4). Suppose -5*k + 4*j + 7 + 169 = 0, -4*k - 5*j = -108. Suppose 3*d - k = 13. What is the greatest common divisor of f and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34 - -4.66. Let i = -0.3 + -0.8. Let n = i - -0.8. What is the third smallest value in -3, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -328, -753, -1348, -2113, -3048, -4153?\nAnswer: -5428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -2.7.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8966*m + 784*m = 1197*m - 821088 for m.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from kywkppkkklpkplpo.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (2 - 2) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -94?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -2 (b) 1\/52 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**6 + l**5 + 112*l**3 - 4*l**2 + 2253 wrt l.\nAnswer: 600*l**3 + 60*l**2 + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -40, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138308227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 + 3*w - 2. Let f(n) = 7967*n. Give h(f(z)).\nAnswer: 380838534*z**2 + 23901*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104664 = 246*d - 540*d. Calculate the remainder when d is divided by 280.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 13*s**2 - 31*s + 27. Let t be f(-15). What is the greatest common divisor of t and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(11) + 1)*-3 + sqrt(88)\/sqrt(2) + 3)*-5.\nAnswer: -5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 343690550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5*n + 34 = 0, -74*n = 3*u - 24*n - 45*n - 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:36 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-45))\/((-144)\/972)*12\/(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)\/g)\/g**(1\/43) assuming g is positive.\nAnswer: g**(-45\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 231\/4, 3, -143, -3, 65, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 3 - sqrt(7)) + sqrt(7))*-6 + sqrt(1008) + 2 - 5*5*(-2 + sqrt(1008)).\nAnswer: -294*sqrt(7) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -31*c - 15. Let k be n(-4). Suppose -30*a + k = -29*a. Suppose 105*j + 5468 = a*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -458.3967 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48610 is divided by 6053.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(2\/3)*q)\/q))\/(q*q*q\/(q*q\/(q*q\/q**(-3\/2)))*q*q))**(-9\/4) assuming q is positive.\nAnswer: q**(111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 631431*d**3 + 747827 wrt d.\nAnswer: 1894293*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21851*i**4*s + 23*i**2*s + 5*i*s + 266170*i wrt i.\nAnswer: -262212*i**2*s + 46*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 437592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*o**3 - 5*o**2 - 47.\nAnswer: -42*o**2 - 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/5 - 26*b**4\/5 - 72*b**3\/5.\nAnswer: -2*b**3*(b + 4)*(b + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c. Suppose 0 = -14*s + 4*s. Let i(h) = s*h + 6*h - 4*h + 3*h. What is i(b(l))?\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.124585 times 5?\nAnswer: -165.622925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**3 + 173*t**2 - 4*t + 2140?\nAnswer: -18*t + 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.56848 + -0.457. Round n to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/10 and -29\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 107*a + 3805. What is s(-67)?\nAnswer: 1125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1005093, 2010175, 3015255, 4020333, 5025409?\n\"Answer: -g**2 + 1005085*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-10) + 39\/(-3). Let r = j - -12. Which is the closest to r? (a) -2\/15 (b) -4 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.711 and -19767130.\nAnswer: -19767126.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -2161, -6725, -15357, -29365, -50057?\nAnswer: -78741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14991, -14992, -14993?\n\"Answer: -m - 14990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 8*n + 4. Let c be x(10). Suppose c - 61 = -k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -15*u - 5. Suppose -5*y + 2*n + 4894 = -0*y, 0 = -4*y - 4*n + 3932. Let v = -961 + y. Calculate the remainder when k(-4) is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p = -30. Suppose -68*k + 68*k - 77*k = 95*k. Let f be (2 + -8 - -2)\/(-1). Solve -f*s + s + p = k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.11, 0.7, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 475.9044 micrometers in centimeters?\nAnswer: 0.04759044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 8988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2705948 is divided by 905?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*c = -1785, 11*c - 25 = 16*c. What is o rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*k**2 + 6 + 186*k - 2 - 186*k.\nAnswer: 70*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004957 rounded to 4 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 + 1 - 52*u + 44*u - 4*u**2.\nAnswer: -4*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**1\/w)*w**4\/w)\/(w*w**(-16)*w**15) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193*l - 157*l + 93*l)*(-2*l + 2*l + l**2 - 2).\nAnswer: -257*l**3 + 514*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -25188437 and -25188438 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13515668*d**3*z**2 - 12*z**2 + 2508*z + 729 with respect to d.\nAnswer: -40547004*d**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*w + 49*w - 700 = -47*w - 58*w for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9693528 millimeters?\nAnswer: 0.09693528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 4, m: 1, p: 3}. Give prob of picking 1 m and 1 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/9))**(-2\/105)*f**7\/(f\/(f**16\/f)))**(-2\/77) assuming f is positive.\nAnswer: f**(-39674\/72765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 1. Suppose 7*m + 40 = 2*m. Let a(s) = -s**2 - 7*s + 2. Let l be a(m). What is the units digit of o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -7.49698783?\nAnswer: -2.49698783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1 - 6\/(-5). Let j = -1.4 - -0.4. Let w = j - 1. What is the nearest to 2 in v, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-6)\/(-12))\/((-40)\/6))\/((-176)\/1408). Solve -6\/5*h**2 - o*h**5 + 12\/5*h**3 + 6\/5 - 9\/5*h + 0*h**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 - -8) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 535 - 532. Suppose 0 = h*r - 2*m - 13, -9*r + 12*r - 4*m - 17 = 0. Solve -q + 4*q = r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-6) - (-610)\/(-24) and ((2 - 1) + 0)\/(28\/142).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 965591401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*i + i - 8, 0 = 3*k - 2*i - 46. What is the remainder when 58 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905.0096 centuries in millennia?\nAnswer: 90.50096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 24*w**2 + 10*w - 9. Give o(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 5*y**2 + 6*y - 5. Let i = 72 - 90. Let t = -14 - i. Give u(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -593569 and 0.4.\nAnswer: -593568.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09201837 + 0.092. Round t to 7 decimal places.\nAnswer: -0.0000184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + m - 6 = 3*m, m + 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 m when three letters picked without replacement from {d: 1, w: 2, m: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 + 85*b = 0. Calculate b.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -2*c + 5*l, 4*c - l = -0*l - 29. Let g be (-4 + 3)*c + -3. Solve g*a = 5*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1272871683\/673388 - -4\/168347. Let s = -1901 - g. What is the common denominator of s and -5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - 8. Let f = z + 2.9. Round f to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 26*n. Let z be (1 + -6)*20\/25. Let u be l(z). Let f = -72 - u. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, -3, -29, -55, -81, -107?\n\"Answer: -26*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 257770 to the power of 1\/2, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2118681351436 take away -1.2?\nAnswer: -2118681351434.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30871?\nAnswer: 30871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.1. Let h be 115\/(-1 + 0\/3). Let w = h + 801\/7. What is the closest to v in w, 1, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2146, 2149, 2152?\n\"Answer: 3*d + 2143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 8. Suppose 2*d + i = 32 - 7, 2*i + 10 = 2*d. Suppose -5*s - d = 5*k, 6 - 17 = 4*s + 3*k. Let a be (s - -4)*1*0. What is m(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 536, 526, 514, 500, 484, 466, 446?\n\"Answer: -w**2 - 7*w + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7390 and -0.1771529151.\nAnswer: -7390.1771529151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51423999841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -33, -38, -39, -36, -29, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) - (-24)\/(-960). Which is the second biggest value? (a) 2\/3 (b) 0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190 - 151. Calculate the remainder when j is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4028, -5, -4 in decreasing order.\nAnswer: 4028, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/4 - 3002134*y - 9012808553956 = 0.\nAnswer: -6004268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2990 - 2990.2. What is the second smallest value in x, 0.8, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(-11)*4\/(-24))\/(360\/(-5832))?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10101 - 5690. List the prime factors of s.\nAnswer: 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585975279 a multiple of 861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-202)\/(-18) + (-16)\/72. Let i = -11 + b. Suppose -2*a + 1 = -i*d - 3*d, -4*a = 3*d + 7. Put 4, d, -6\/5 in decreasing order.\nAnswer: 4, d, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*h - 708 - 216. Calculate the greatest common factor of h and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, -1\/31, -16.02 in descending order.\nAnswer: 161, -1\/31, -16.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(1694))\/(4*-2*(sqrt(7) - sqrt(7)*2)))**2.\nAnswer: 3025\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uluu when four letters picked without replacement from {u: 9, l: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, q: 1, g: 1, k: 1, f: 2, e: 3}. Give prob of sequence ke.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 - (-423)\/36)*2. Let y = -5.2 - -0.2. What is the second smallest value in g, y, -2\/7, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 20*d - 76. Let c be l(12). Suppose c*h - 3*h = 85. Sort h, -3, 37 in increasing order.\nAnswer: -3, h, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18799424 is divided by 172.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -179 + 203 + 31 + -131?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 41*z + 1402. Let p be f(-34). Which is the third biggest value? (a) -4 (b) p (c) 13 (d) 2 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*v - 359 = 0, -59 = -u + 2*v + 57. Calculate the remainder when u is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 52, 104, 176, 268, 380?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -298a (base 15) to base 16.\nAnswer: -22c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 1170 = 40*h. Calculate the remainder when 3039 is divided by h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-2)\/(-2)))\/((-10)\/1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 139*m**4*u**2 - 4*u**2 + 188*u wrt m?\nAnswer: 556*m**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(1 + sqrt(1100) + -1 - sqrt(1100)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.227 - 0.158. Let n = r + -1.069. Which is the fourth biggest value? (a) 2 (b) n (c) -1\/9 (d) -3.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**4 - 4*s - 12*s**4 + 0*s**4 + 11*s wrt s?\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 - 6*p + 3. Give u(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 0 (c) -42\/11 (d) -1\/2 (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55550*m**3 - 371*m**2 + 165346649 wrt m?\nAnswer: -166650*m**2 - 742*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/25*(1 - 16). Let w = 29 - z. What is the remainder when 20 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9819824 to two dps.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -43*j - 368 - 376 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 980 and 202580?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 10*v**2 - 13*v - 4. Let a be u(-9). What is the remainder when 1*a + (-3 - -3) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -118, -4, 0.4, -1388?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/21)\/(j*j\/(j**(-12)*j)*j) assuming j is positive.\nAnswer: j**(-296\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1017, 2\/19, -0.3, -2 in descending order.\nAnswer: 1017, 2\/19, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 5)*(5 - 5 + 2*i)*(-20*i**2 + 5*i**2 - 14*i**2) to g*i + r*i**2 + n*i**3 + z and give n.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*h = 66*h - 3*y - 15, 16 = 5*h - y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5231505 + 1?\nAnswer: -5231504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 28 = -4*g, 68*g - 73*g = -4*w - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7041 by -1.\nAnswer: 7041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 21030, -0.2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.9 (b) 189\/4 (c) 6 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.999998785 + 21. Round v to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51128914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {f: 1, l: 1, z: 1, i: 1, d: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 2495513628 + 2495513628.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2, -1, 7, 0.1, -285 in ascending order.\nAnswer: -285, -2, -1, -2\/3, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 38 + 130. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j\/((j*j*j**30)\/j*j))\/((j\/j**(-35))\/(((j\/j**(-9\/5))\/j)\/j)) assuming j is positive.\nAnswer: j**(-301\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 51 - 26)*(-b**3 - b + b) - 146*b**2 - 3*b**3 + b**3 + 148*b**2 - 93.\nAnswer: 93*b**3 + 2*b**2 - 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4506, -4505, -4504?\n\"Answer: m - 4507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00258025136 rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 243 + -259 - (-8 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z - 3 = -2*h - 36*z, 2*h - 5*z + 3 = 0. Let y(j) = j**3 - 7*j**2 + 12*j - 25. Give y(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -8879a0a?\nAnswer: -8879a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 138*q - 2554. What is t(25)?\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5395 - 5383. Let m(g) = g**3 - 14*g**2 + 23*g + 3. What is m(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -51*c - 3. What is the remainder when s(-2) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*a - a - 3*m, -2*a - 5*m = 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/21*(-49)\/(-14). Let u = 20 - z. Factor -u*h**3 - 15*h**4 + 10*h + 15*h**2 - 1190 + 1190.\nAnswer: -5*h*(h - 1)*(h + 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f7 - -3?\nAnswer: -1f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 7*g - 6. Give j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.9365nm in centimeters?\nAnswer: 0.00003049365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9406, 18790, 28162, 37516, 46846, 56146, 65410?\n\"Answer: -z**3 + 9391*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1*24.9.\nAnswer: 102.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011140 is divided by 351?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*t = 4*r - 5, 2*r - 3*t = 0. Let i(a) = -9 + 26*a + 2 + r. What is the hundreds digit of i(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 43*g. Let v(z) = -z**2. Calculate n(v(m)).\nAnswer: -43*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2499991*z**2 - 2245405*z wrt z.\nAnswer: -4999982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 151 = -3*p, -114 - 138 = 3*k + 4*p. Let r = -11 + 43. Let n be ((-36)\/k)\/(-2*(-6)\/r). What is the second biggest value in -2, -4, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 2 = -12*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*s**5 - 1365*s**4 + 720*s**3 - 100*s**2 = 0. Calculate s.\nAnswer: 0, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 257274 smaller than 257274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6 + 5 + 5*u + u - 4. Let t(n) = n - 1. Let j(y) = 2*t(y) + x(y). Let s(b) = 7*b - 6. Let f be 9 - (3 + (-4)\/(-4)). Determine f*s(d) - 4*j(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 6, 99939 in decreasing order.\nAnswer: 99939, 6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2130 is divided by 164?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*r**3 + 1 + 6*r**2 - 14*r**3 - 4538*r - 3*r**2 + 4593*r - 3 as j*r**2 + z*r**3 + d*r + n and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/11 + 750*b**2\/11 - 93534*b\/11 + 3880114\/11.\nAnswer: -2*(b - 137)*(b - 119)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 4:50 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - -3.6. Let x = n + -1. Let y = x + -3.2. Is 0 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 6:54 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -7*t + 10. Suppose 0*j + t*j = x - 3, 6 = -3*j. Is 2 - (-209)\/((-1)\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.024 + -0.004. Sort g, -3, -5 in increasing order.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqffffqffoqwfoyiqofi. What is prob of sequence woo?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -524\/195 - -38\/15. What is the nearest to r in -1\/2, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(2 + (-18)\/3 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -334800 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 771883123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 - 2. What is the closest to -1 in w, -2\/11, 3\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 - h. Let w(b) = -6*b**3 + 4*b**2 + b + 2. Let m(u) = -3*q(u) - w(u). Let i(r) = 0*r**3 + 3 - 4 + r**3 + r. What is -2*i(f) + m(f)?\nAnswer: f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(180)) - sqrt(55)\/((sqrt(110)*1)\/sqrt(10)).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 47*j - 801. Let d be s(17). Suppose 40 = 3*g + g. Is (-694*(-3)\/(-10))\/(d\/g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - f - 3)*(2*f + 0*f - f)*(-f + 0*f + 3*f + 0*f + f + f + (-2 - 4 + 5)*(3*f + 0*f - 4*f) - 4*f - f + 4*f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8 + 2 = 0. Suppose -1 = -5*g - n. What is the tens digit of -3 + 22 - (g + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqee when four letters picked without replacement from eeexxqxeeeexq.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -3514575.\nAnswer: 70291.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3*w - 3*w + 62*w**2 - 2.\nAnswer: 62*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, 4, 3.09?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f**2 + 4*f + 1. Let y be i(2). Let m(z) = z**2 - z + 21. What is the lowest common multiple of m(0) and 22\/(-4)*(-2)\/y*-3?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0*k**3 + 48*k**2 - 1\/108*k**6 + 0*k**5 + 0 + 0*k**4 + 0*k - 1\/945*k**7. Suppose c(j) = 0. Calculate j.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1420*y**2 - 5*y + 283 + 5*y.\nAnswer: -1420*y**2 + 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -21 + 47 - (31 + -55).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 4*u**2 + u + 3. Let q be h(-3). Suppose 15 = -2*j - 5. Let t = j - q. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 19*n - 14*n - 6*n = i + 246, 0 = 5*i + 4*n + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/35)\/((-4)\/705). What is the greatest common factor of 2914 and s?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25910 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78227720?\nAnswer: 2, 5, 1955693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3.5 (b) 33.986 (c) -2\/9 (d) -3 (e) -2\/7 (f) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 13. Let n(f) be the first derivative of 2*f**2 - 470. What is n(d(a))?\nAnswer: -4*a - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6115 + 5549. Which is smaller: a or -558?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -0.7584423884189\nAnswer: -10.2415576115811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1450 and 4016790.\nAnswer: 20083950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2092356 divided by -10108.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 2078?\nAnswer: -37\/2078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2116573152?\nAnswer: 2, 3, 22047637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 3. Calculate the remainder when 835\/25 - (-6)\/10 is divided by l(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 6736 = 1040. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 12*g - 104116. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 401946748.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -2. Let w = 2 + a. Solve w*f + 0*c - 20 = 5*c, 0 = -5*c + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + i**3 - i**3)*(-2*i + 0*i + i + 2*i + 2*i - 2*i + (3*i - 3*i + 2*i)*(3 - 6 + 1) - i + i + i).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575100005.\nAnswer: 5, 115020001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 170 (b) -0.4 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -13*p - 6. Let h(i) = -i - 1. Suppose 3*a + 3 = -0*a. Let f(r) = a*x(r) + 6*h(r). Let n(g) = g**2. What is n(f(j))?\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1184\/(-8288))\/((4\/(-4))\/2))\/((-3)\/(-35))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -65. Let t = 24.1 + q. Which is the closest to 2? (a) t (b) 3\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) - 26\/45. Let o = -0.4 + -0.1. What is the second smallest value in s, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnlr when four letters picked without replacement from lfcrrrclrrncrrrrrrr.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d - 4. Let x be (-8)\/2 + 288\/16. Let g(k) = 4*k + 7 + 4 - x. Give 5*b(t) - 6*g(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-12)*(-99)\/(-6). Let g(x) = -x**2 + 13*x - 16. Let u be g(l). Let c be 4*u\/16*2. Solve d = -3*d + 4*t - 12, -c*t + 9 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**3 - 2*w**2 - 2*w - 1. Let p(g) = -g**3 - 1. Let l(i) = -7*i**3 - 3*i**2 - 3*i - 5. Let r(b) = l(b) - 3*p(b). What is -3*d(u) + 2*r(u)?\nAnswer: u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*t + 32. Suppose -t*f - 40 = -9*f. Let p = f + 55. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/2, 524, -4.9?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - 4*o**2 - o - 3. Let n(p) = -2*p**3 + 5*p**2 + p + 4. Let h(d) = 3*c(d) + 2*n(d). What is the remainder when 13 is divided by h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 4)*(-9*y + 2*y - 6 + 9*y).\nAnswer: 4*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 84*f + 253. Let d be v(44). Let y(t) = -11*t - 43. Let x be y(-9). Calculate the highest common divisor of x and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -27465267*w**2. Let r(o) = 2*o**2. Determine z(r(c)).\nAnswer: -109861068*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 8*v - 8. Let p be l(-6). Let d(y) = 23*y**2 + 114*y - 11. Let x be d(-6). Suppose 9*r + x = 169. Solve 8 = r*m + p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 814389.3 millimeters?\nAnswer: 0.8143893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.954 + 23. Let o = 2.954 + i. What is the nearest to 1 in 2, o, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d05 - 8?\nAnswer: -1d0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 17*s**2 + 4*s + 178. Does 15 divide h(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/17? (a) 4\/9 (b) 38 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 1 - 1)*(-11*f + 18*f - 2 + 1).\nAnswer: 28*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*v - 300 + 657 + 1744 - 4471 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 686719583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v - 1. Let c(s) = 11*s**3 + 11*s**2 - 11*s - 11. Give -3*c(f) + 33*y(f).\nAnswer: -33*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1299766ml in litres?\nAnswer: 0.0001299766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3147 rounded to two dps?\nAnswer: 2.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((234\/182)\/(6\/28)). Let h = 2 + -2. Sort h, 0.16, v, -2 in descending order.\nAnswer: 0.16, h, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**2\/2 - 26. Let s(b) = 22*b**2. What is s(a(k))?\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224747 and 3558.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 10660*a + 53346. Determine y(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 9*r + 584 = -4*m, 4*r = -3*m + 1179. What is the remainder when r is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 27*p**2 - 17 to the form q*p**2 + u*p + t and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 24430832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 13. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 + 17 - 104*b**6 + 3 + 6*b**2 + 85*b**6 wrt b?\nAnswer: -2280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r. Let a be y(-2). Let d = 17 + a. Let g = 4 - d. What is the highest common divisor of g and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1062443, 1062441, 1062451, 1062479, 1062531, 1062613?\n\"Answer: z**3 - 9*z + 1062451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -10, 3 in ascending order.\nAnswer: -10, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 3}. What is prob of sequence br?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2855 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9898 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 8*l + 17. Let u be j(-5). Which is the closest to 1? (a) 0.4 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404\/(-37) - (-78 + -17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3733226 and 1554?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3))\/s**(-2\/11))**(-3\/47)\/(s\/s**(2\/7)*((s\/(s\/(s**(-3\/5)\/s)))\/s)\/s)**(-46) assuming s is positive.\nAnswer: s**(-2399882\/18095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 957025006 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 7410280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84a2 + -3?\nAnswer: -84a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-252)\/(-252)*((-8)\/(-156))\/(1*-1).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*o + 6, -3*o = -4*i - 9 - 23. Let m = i + 21\/4. Let g = -155\/2 + 75. Which is the third smallest value? (a) 2\/15 (b) m (c) g (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**3\/5 + 139*t**2\/5 - 4509*t - 1551483\/5 = 0.\nAnswer: -211, -57, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*b**5 - 301*b?\nAnswer: -2640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215337.\nAnswer: 3, 179, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718401?\nAnswer: 3, 43, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*b*j**3*u - 10*b*j**3 + 3306*b*j**2*u + 2*b*j**2 + 2*b*j*u + b + 170*j**3*u + 30*j**3 - j**2 - 3*j*u wrt j.\nAnswer: -48*b*u - 60*b + 1020*u + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 14*v - 39. Let n be r(9). What is the remainder when (n + -4 + 2)*(-621)\/(-18) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581 = -41*f + 210 - 53 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfhbbnhhbbnhnhb. What is prob of picking 1 h and 2 b?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*sqrt(96))\/(sqrt(98)*-3)*-3*-2)*3 + -2.\nAnswer: -17 + 72*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4, 4*q - 10 - 58 = p. Suppose -1456 = -61*t + 69*t. Let i = -177 - t. Solve -i*u + 2 = -q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16561 - 16556. Calculate the remainder when 617 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b**2. Let p(q) = -3*q + q + 3*q - 2*q. What is p(u(h))?\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 236147669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/51 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -20989352.79 to the nearest ten thousand.\nAnswer: -20990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 120, 231, 376, 549, 744?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -735 + 160 + 202 + 184 + 160 - w.\nAnswer: -w - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + (sqrt(80) - sqrt(80)*-4)) - (0 + sqrt(5))*6*4*5)**2.\nAnswer: 11520*sqrt(5) + 288576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - a + 1. Let u(o) = 7*o**2 - 6*o - 7. Let i(b) = 6*m(b) - u(b). Let g(l) be the first derivative of i(l). Let n(z) = -3*z. Calculate n(g(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - t - 340 = 574, -2*i + 446 = 5*t. Solve i*w = 235*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtxxtxx. Give prob of picking 3 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58652.\nAnswer: 2, 11, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*o**3*z**3 - 30*o**3 - 4544*z**3 wrt o.\nAnswer: 132*o**2*z**3 - 90*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-7 - (-11 - -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 11129079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1231 divide 98587418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1173 + 1261. Solve g - 172 = -21*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43208 and 102613599.\nAnswer: 5401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-135)\/75)\/((9\/20)\/(33\/(-22))). Suppose 5*f + 0*f = 10. Solve -t*n = -o - f*n + 12, 12 = -o - 4*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 36 = 2*c - 3*y, -4*y + 7 = c. Let q = -12 + c. Suppose -10 = -2*u - 4*g, 0 = -5*u + 2*u + q*g + 6. Solve 1 = u*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23315 - 245?\nAnswer: 23050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5733)\/(-351) - 464\/24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - v + 20, -6*a + a - 2*v + 50 = 0. Suppose -15*l + 10495 = -a*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 5.6.\nAnswer: -5.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -15*c - 2. Let h(m) = 19*m**2 - m - 106. Calculate i(h(s)).\nAnswer: -285*s**2 + 15*s + 1588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 117*r**2 + 64*r + 5616. Give x(116).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -126 + 126.464. Let x = 0.064 - a. Let o = -2173\/8 + 272. What is the biggest value in -3\/4, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.093 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120568081 or 120568082?\nAnswer: 120568082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8 + 24\/(-96)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1659021 by 9373.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*n + 112*n - 3332 = 0. Suppose -6*w + n = -98. Solve -k + 46 = w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*1\/2 + -46. Let j = m - -49. Suppose -4*s - 76 = -5*i - s, j*i = 2*s + 32. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*((-6)\/21 - (-22)\/(-21)). Solve 10*v = b*v + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**2 - 8. Let i(p) = 2*p**2 + p**2 - 2*p**2. Calculate i(s(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 0)*(24\/180 + (-48)\/(-15))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -133, -318, -681, -1282?\nAnswer: -2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 10. Let a be j(7). Suppose -5*r - s - a*s + 230 = 0, 2*s - 184 = -4*r. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 9. Let w = -1 - u. Suppose 4*z = 16, -7*b - 4*z = -w*b - 28. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4492 is divided by 195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 26.167.\nAnswer: 5.2334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 35*k + 15. Determine h(-18).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134162.6ml to litres.\nAnswer: 134.1626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -4 + 2)*-3. Suppose 0 = 4*f + 3*o + 2, -2*o = -3*f - y + 10. Let w(l) = 2*l**3 - l**2 + l. Calculate w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1521 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwfv when four letters picked without replacement from {f: 4, w: 1, v: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -22*j**3\/3 - 20*j**2 + 7*j + 3. Let c be b(-2). Calculate the highest common divisor of 54 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 469 + -468.5. Sort -0.1, 6, w, -6\/25 in increasing order.\nAnswer: -6\/25, -0.1, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2138.\nAnswer: 12828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (14937 + 13)\/23 + (-5)\/(5\/2) and 1080?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Suppose s = -5*c + 13 + 2. Suppose 0 = -o - w - 4*w + 26, -5*w = -3*o - 2. Calculate the remainder when o is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 31*p - 370. Give u(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 - 196. What are the prime factors of 22\/(o - (-42)\/(-45))?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5208 times -625?\nAnswer: -3255000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -494*i + 493*i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -t - 9, -8*t - 4*u + 30839 = 30899 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 3*f - 2*f + 0*f + 0*f + (0 - 4 + 5)*(-1 + f + 1))*(0*f**3 + 2*f**3 - 7*f**3) - 3*f**4 + 4*f**4 + 0*f**4.\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3949506 millennia in years?\nAnswer: 394.9506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214 and 175706198?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (130\/(-30) - (-2)\/1). Suppose 18*m = 9*m + 99. What is the nearest to 1\/3 in 0, 4, m, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r + 4. Let m(j) = 17*j + 7. Let y(i) = -11*l(i) + 6*m(i). Let w be y(3). Suppose 0 = -2*d + w*d - 35. Solve d*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (-28 - -11))\/((-6)\/4). Let a(n) = -2*n**3 - 3*n**2 - 3. Let s be a(-3). What is c in -124 + s + 4*c**3 + x*c - 44*c**2 + 130*c = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/19, 34\/5115, -15?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*t*x - 700*d**3*t + 54*d**3*x + d*t*x - 174005*t*x + x wrt d.\nAnswer: -12*d*t*x - 4200*d*t + 324*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 x when four letters picked without replacement from gxbbebxtgbbb?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*h + 394*h - 7 = 4*r + 792*h, -4*h = 12*r + 24 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -38, -12, 0.123, -1.8?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2588233\/13 + -199095. Let k = 151 + -1059\/7. What is the closest to -1 in 5, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - t)*(-3 + 5 - 5)*(-713 + 2098 + 191).\nAnswer: 4728*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062988 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44\/5*u**2 - 26\/5*u + 14\/5*u**4 - 2\/5*u**5 - 36\/5*u**3 + 6\/5 = 0 for u.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271972 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 + 2716*t - 15906. Calculate w(-549).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, h: 5, o: 3, i: 6}. What is prob of sequence ohh?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**4\/3 - 48*c + 6. Let p(k) = -k**2. Let j(r) = -13*r**2. Let i(y) = 2*j(y) - 10*p(y). Determine i(d(w)).\nAnswer: -256*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16212 and 9.\nAnswer: 48636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -286 - -542. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 71*h**2 + 3*h + 212. Determine s(-71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6164 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: Let j = -49496 - -49342.742. Let i = 1.058 + j. Let z = i + 141. Round z to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 5, 18, 39, 68, 105, 150?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75 - 174 - 327)*(9 - 5*r - 4 - 7) to the form t*r + i and give t.\nAnswer: 2130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-2 - 4 + 5)*(2271 + 67*f**4 - 2271).\nAnswer: -67*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vllrlrlvlrlrrllvvv. Give prob of picking 3 l and 1 v.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 16 + 0)*(v**4 - 2*v**2 + 2*v**2 + (v - 2*v + 2*v)*(-2 + 2*v**3 + 2)).\nAnswer: 33*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 433831156*t - 23526183989537042.\nAnswer: -2*(t - 108457789)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5.06. What is the fourth smallest value in -3\/7, d, 3\/8, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32029067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -127424 divided by 5\nAnswer: -127424\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -211860.5 take away 0.1?\nAnswer: -211860.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -806, -851, -894, -935, -974, -1011, -1046?\n\"Answer: k**2 - 48*k - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (22 + -11)) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/5)\/d*d)\/(d*d*d**(-3)*d))\/(d*d**(1\/5)\/d)**(-26) assuming d is positive.\nAnswer: d**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.5 (c) 61 (d) 2 (e) 3 (f) -11\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 197 + -206 + 0 + 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 = -4*h - 130. Let d = -191 + h. Let k = -48 - d. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 6*m**2 + 7*m - 3. Let u be k(-7). Let w(b) = -b - 4. Let g be w(u). Let d = g + 4. Solve -d*t + s + 2*s + 24 = 0, 0 = 2*t + 5*s + 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (133 + -138 + 11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121619?\nAnswer: 19, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**6\/6 + c**5\/4 - 35*c**4\/4 - 75*c**3\/2 - 344*c. Factor g(l).\nAnswer: 5*l*(l - 5)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + 120. Let o be (-1 - (-3)\/6)*-40. Let f = 37 - o. Calculate the highest common divisor of f and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 7:20 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -48*m - 10381. Give d(-202).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*x + 13*x - 14*x.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/4 - 18*l**3 + 26*l**2 + 54*l - 579. Give w(53).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 588 = 4*t, -3*t - 318 = 2*i - 7*t. Let m = 95 + i. Let h = m - -81. Calculate the highest common factor of 275 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s. Let n(r) = 4*r + 469. Let f be n(s). Suppose f = 5*o - 126. What are the prime factors of o?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 648558 + 9902. Round s to the nearest 10000.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8 + 5 - x**3 + 1 - 305*x**2 - 16*x + 320*x**2. Determine u(14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-90)*-2)\/((-784)\/(-490))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 (base 8) in base 7?\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) 2\/11 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154139 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*h = 5194 - 21831 - 909 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102.89 + 103. Let d = i + -38.11. Sort 3, d, 0.2 in increasing order.\nAnswer: d, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188 + -191 + (99 - -43).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8578151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*r = -114502 + 450922. What are the prime factors of r?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14518*l**3 + 66*l**2.\nAnswer: 2*l**2*(7259*l + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 d when three letters picked without replacement from dzzzzzzzzddzzdzzzz?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 + 16*v + 26. Let n be j(-2). Is -8 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*w = 2*a - 298, 0 = a - 3*w - 155. What is the remainder when 583 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -400917888\nAnswer: 1\/133639296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = 1. Let s be -9*((-15)\/(-9))\/5. What is the third biggest value in y, 0.5, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157650\/7 or 1.2?\nAnswer: -157650\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (-3)\/((-3)\/(-5)). What is the greatest common divisor of 3 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 74 + 74.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - -8. Suppose -l - 3*l = -i. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85491206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*(-2)\/(-4) - -788. Let p be 2\/14 + a\/161. Let k = 33 - 21. Solve -4*z = -k, p*z - 8 = 3*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:43 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 132 = 0. Suppose -q - t = -4*q. Let n(f) = f - 10. Let g be n(q). Solve -11 = 2*l - 3*j - g, -5*j - 25 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:01 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -3*a + 168 - 155, a - 3*q + 14 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 6\/3) + -4. Let w = -64 + 64. What is the closest to 2 in w, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i + 5. Give z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 7*f**2 + 6*f. Let w(j) = 8*j + 3. Let t be w(1). Let u = -7 + t. What is n(u)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63139\/27057 + 2\/9019. Which is the second smallest value? (a) -28 (b) 1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-8))\/((-12)\/64*60\/3162195) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5) - (6 - 9424\/665)) + -8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*y - 68*y = 85. Let d(q) = 5*q + 194. List the prime factors of d(y).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 + 3*h - 5. Let x(j) = 49*j - 4. Let n(v) = 270*v - 22. Let t(c) = -2*n(c) + 11*x(c). Determine t(f(s)).\nAnswer: -7*s**2 - 3*s + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)*-1)\/sqrt(9) + ((sqrt(576) - sqrt(36)) + sqrt(36))*-6)\/(2*-1*sqrt(108)).\nAnswer: 25*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 495, 837, 1149, 1401, 1563?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/9 - 8\/(-36). Suppose v = -n + 3. Solve 11 = 4*q - 3*z, -n*q = 2*z + 15 - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3167, -26635, -90317, -214319, -418747?\nAnswer: -723707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/11, -7, 33, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -5, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 0, -3 in descending order.\nAnswer: 7, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(-1 - 1 + 3)*(-20*w**3 - 263*w**3 - 12*w**3).\nAnswer: -295*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.1, 0.34, 1\/8, 3\/2?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 595.0855 - 595. What is h rounded to three dps?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153162 is divided by 19136.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (90\/(-4))\/((-3)\/24). Let m be 6\/((-7)\/((-182)\/(-4))). Let r = m + p. What is r rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -818*n + 6516. Calculate g(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 1, t: 1, z: 1, h: 1}. What is prob of picking 1 t and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*v**2 - 249*v**2 + 62*v**2 + 61*v**2 + 63*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34281 and 24?\nAnswer: 274248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a + 12, -4*a = n + 22. Let c be 5 - -1 - (8 + n). Suppose 5*r + c*p = 5*p + 9, -3*p + 11 = 4*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 156\/(-6)*(1 - 5010001). Round a to the nearest one million.\nAnswer: 130000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281.08 + 281.48. Is -1602 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -554000 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*a + 2*a = 3*y, -2*y - 4*y + 124*a = -y + 121*a - 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*c - 4, -4*c - 36 = -5*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3540625 (base 7) in base 4?\nAnswer: -1231012303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j**(1\/3)\/j))\/j*j**(-2))**(-16)\/((j**(-1\/4)\/j)**40\/((j\/(j*j**(-2\/17)))\/(j\/j**(-1\/3)))) assuming j is positive.\nAnswer: j**(920\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 432743 or 433378?\nAnswer: 432743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4, -5, -3\/62?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21013 + 42021 - 13908*u**3 - 21008.\nAnswer: -13908*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2076\/8713 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10697447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -4, 18, 60, 128?\n\"Answer: w**3 + w**2 - 2*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 2. Let o = 77 + -75. Which is the closest to o? (a) d (b) 6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 16. Let d = l + 18. Suppose -d*v + 5*v = -24. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 4*b - 3. Let a be t(-5). Suppose 3*m = -a*m + 25. What is the second derivative of 2*x - 3*x**m + 0*x + 2*x wrt x?\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.54 + -0.44. What is the smallest value in x, -0.4, 3\/17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/5, -1\/7, 186, 3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 53520093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*y**3 + 0*y**3 + y**3)*(-10*y - 2*y + 0*y) to h*y**2 + i*y**4 + c + a*y**3 + m*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 = -4*n - 47, 4*h + n = 123. Suppose 1006 - 1031 = -5*q. Calculate the least common multiple of h and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-60))\/(((-45)\/(-5))\/144)*(-65)\/(-598).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d. Let g(l) = -4*l - 23. Let m(o) = o + 5. Let u(p) = 2*g(p) + 9*m(p). What is k(j) - 3*u(j)?\nAnswer: 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016548742 rounded to seven decimal places?\nAnswer: -0.0001655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 8*a - 2. What is w(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + (130\/(-39))\/((-8)\/(-15)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 1.54, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 - 1277*p + 65470. Give r(71).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 - 3009*b\/4 + 437329\/2.\nAnswer: (b - 2683)*(b - 326)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 3*m**2 - 6*m**2 + (-5 + 2*m + 5)*(-2*m - m + 4*m) + 2 - 2 + 2*m**2 + 1 - 1 - 2*m**2 + 1293 - 33*m**2 - 1293.\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r**2 - 13*r. Let l(m) = -5*m**2 - 6*m. Let y(i) = -13*l(i) + 6*q(i). Let s(t) = -17*t + 2027 - 674 - 672 - 681. What is s(y(p))?\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(19) - sqrt(57)\/(sqrt(3)*-1)) + -4)**2.\nAnswer: -16*sqrt(19) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3641 + 3044 = 191*s. Solve -162*k = -157*k + s for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + 12 + 11 - 17 + 2*x**2 - x**2 - 4*x**2 - 3*x**2 - 14*x**2 + 4*x**2 + (-2*x + 2*x - x)*(-x + x - x).\nAnswer: -13*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 25*o**3 - 16*o**2 + 58*o + 6. Let k be q(3). What is the greatest common factor of k and 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 7. Let s(k) be the third derivative of k**3\/6 - 3*k**2. Let r(m) = 14*s(m) - 2*t(m). Let n(y) = 3*y. Give n(r(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:23 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1144 (base 5) to base 10\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 19*q**2 + 28*q + 138. Calculate the remainder when f(-6) is divided by 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1 - 7 = 0. Let x(y) be the first derivative of -y**3\/3 - y**2\/2 + 2*y - 9. Determine x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 361*x**4\/4 - 4*x**3\/3 - 8*x**2. Let t be z(-12). What is t rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*i - 21 = i, -3*i + 9 = 0. Let m = k + 8. Suppose 4*v - 16 = -2*q, 5*q - 2*v = 2 + 2. Solve -5*z - m = q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a. Let g(m) = -529474*m**2. Calculate p(g(d)).\nAnswer: -1588422*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.866 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 33*i**2 - 34*i + 18. What is the tens digit of z(31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -699.650149 rounded to 2 decimal places?\nAnswer: -699.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*r**3 - 22*r**2 + 22*r**2)*(4 - 592*r - 73*r - 4).\nAnswer: -11305*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 6 + -3 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136223781*r**3*x - 57834491*r**2*x wrt r?\nAnswer: 817342686*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 - 136938?\nAnswer: -136937.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 3 + 5 + 7)*(3*a**3 + 2*a**3 - 4*a**3).\nAnswer: -3*a**4 + 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54128280\/7 or -7732612?\nAnswer: -7732612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 11:45 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 28 = -3*x + 4*j, 0 = 3*x + j - 22. Suppose x*i = 10*i - 8. Let m be 18\/4 - (-2)\/(-4). What is the greatest common divisor of i and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1. Let c(l) = -2*l + 10. What is c(s) + 4*m(s)?\nAnswer: -2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 42 = -179 - 130 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1166 divided by -1915\nAnswer: 1166\/1915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16218)\/(-1378) + (-6)\/(-26))*(3 + -1). Calculate the highest common divisor of 12552 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2957\/4 - 729. Let y = 3693\/164 + -52\/41. What is the common denominator of y and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 + s**2 + 0*s**2)*((-1 + 1 + 1)*(10 + 5 - 12) + (-16 - 6 + 10)*(-6 + 5 - 4)) as z*s**2 + j*s + w and give z.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 - 707. Let a = m - -583. Sort -8\/21, a, 2\/13.\nAnswer: a, -8\/21, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -348585050 greater than or equal to -348585050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2368 at least 204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p - 22. Let f be y(-8). Let k(m) be the first derivative of -f - 2*m - 1\/6*m**3 + m**2. Factor k(l).\nAnswer: -(l - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6)*1*-4. Let j(v) = -2 + v**3 - 2*v**2 - 4 - 6*v - 2*v**r. Let a be j(6). What is the greatest common divisor of a and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:57 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 5*p = 429. Let d be (-11 - 1)*19\/3. Let z = p - d. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -85*b + 25. Suppose 0 = 6*o + 3*o + 27. Is m(o) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(600) - (4*-2*sqrt(600) - sqrt(600)))*1)\/(-2*sqrt(288)*5 + -6*-2*sqrt(288)))**2.\nAnswer: 625\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*f**5 + 12*f**4 - f**3 - 3724*f**2 wrt f.\nAnswer: 4200*f**2 + 288*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*n + 4. Suppose -2*l + 12 = r, 4*l - 8 - n = -5*r. Let h = -4 + l. Solve -5*v = -h - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 + 14*t + 1. Let g(a) = 5*a**2 + 16*a + 2. Let w(f) = 5*g(f) - 6*u(f). Determine w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -205241?\nAnswer: 1\/12073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 3:06 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1142 in 5\/6, -428\/17, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - 3*i**2 + i. Let g = -8 - -7. Let u = -4 - g. Let r be ((-2)\/4)\/(u\/12). Calculate z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:24 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 17*z + 63. Suppose 18 - 375 = z*v. Let s = v - -197. What are the prime factors of s?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30493?\nAnswer: 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from iiliiliiiilllill.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 + 9. Let q be b(0). Let f be ((-14)\/(-3))\/(3\/q). Solve 4*n = -5*z + f, 2*n - 10 = -4*z - 0*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 = 16*l + 262 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 11*y**2 - 10*y + 6. Let g be i(-10). Solve -4 - g = -2*r + t, 4*r - 10 = -3*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.36 + -2.64. Suppose -3*k + 5 = 5*w + 26, 0 = 5*k - 2*w + 4. Let h be k + 0\/(-1) - -1. Put h, -3\/4, l in descending order.\nAnswer: -3\/4, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**6\/360 + p**5\/30 + p**4\/8 - p**3 - 3. Let f(u) be the third derivative of w(u). What is f(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9319 - 9361. What is the nearest to 4 in 3, o, -5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 625*a - 4982. Calculate r(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-231)*(-1760)\/(-80))\/(3\/279)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235 is divided by 221?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013716265 to 6 dps.\nAnswer: -0.001372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -610*q + 608*q - 31, -3*q + 4*x = 41 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.895 to one dp.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9387 + 4914. Let q = v + 6526. Round q to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6\/17, 29 in increasing order.\nAnswer: -1, -6\/17, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w - 23. Let u be z(5). Is (u - (-67)\/2)*(10 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 13*z**2 + 25*z - 25. Let c be v(11). Suppose 4*r + o + 19 - 3 = 0, -2*r = 4*o + c. Put -1, 4, -5, r in decreasing order.\nAnswer: 4, -1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -231742481?\nAnswer: -231742501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**4 + 2*n**3*t - 2572*n**2*t - 2*n**2 + n*t + 116020*n wrt n.\nAnswer: -24*n**2 + 12*n*t - 5144*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36 + ((-1)\/(-1))\/(-1). Suppose 3*f + 2*z = v, 13 = f - 4*z - 8. Suppose -f = -0*p + p - 4*o, 2*p = 4*o - 10. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 17. Let a(c) = c**2 - 4*c + 12. Calculate the remainder when a(7) is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2964)\/14)\/(260110\/(-95830)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 2*r**2 - 2*r - 12. Let z be j(-3). Solve z*w + 4 = 10*b - 8*b, -5*w - 5*b = 40 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k - 2. Let j be m(6). Let v be 36\/(-16)*16\/(-6). Suppose 0 = 3*h - 2*p - j, -h + v*p + 22 = 3*p. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 397717, 3, -4, -2 in ascending order.\nAnswer: -4, -2, 0, 3, 397717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Let i be 115 + (-2 - 1) - l. Suppose 0*k + i = 5*k. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5 - 563*r**4\/6 - 4285*r**3\/6 - 1588*r**2 + 4384*r\/3 + 2816\/3 = 0. Calculate r.\nAnswer: -8, -11\/24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 38, 159, 390, 767, 1326, 2103?\nAnswer: 3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, 4, 5, -6, -35, -88, -171?\n\"Answer: -n**3 + 3*n**2 + 5*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.11526 and -1899.4697.\nAnswer: -1898.35444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 6*u - 7. Let f be g(7). Suppose -n + 6*n = f. Let h = 5 - 5. Do h and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46370, -15, 3, 21 in decreasing order.\nAnswer: 46370, 21, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 4*j - 158. Let t be w(11). Solve 0 = -s + 8*z - 5*z - 7, -5*s + z + t = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 25, 90, 213, 412?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*o - 6*o + 28*o**2 - 6*o wrt o.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*y - 67*y - 387 - 4992 = 17896 for y.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 488 or 975\/2?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47\/80 + -3\/16. Let g = -1 - -4. Suppose 0 = -d - 3*d + g*c - 19, 5*d = -c - 19. Sort 4, d, t.\nAnswer: d, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y. Suppose -4*r + r + 3*j - 75 = y, 2*j = -4*r - 130. Does 13 divide (-10)\/r*(-1 - -352)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = b - 9, -3*b + 6*b = 4*l + 32. Suppose -b*n - 6 = -78. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 29*c**2 + 29*c + 56. Let h be k(-2). Calculate the highest common factor of h and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 443724a?\nAnswer: -4437246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 27*q**2 + 2*q + 33. Let f be w(-27). Let p be (16\/(-6))\/(7\/f). Let n = 1.3 + 0.7. Put n, p, -1\/4, -2\/3 in decreasing order.\nAnswer: p, n, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 51)*(-802 - 428*x + 802) in the form m + d*x and give d.\nAnswer: 21828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -1)\/(3\/(-157)). Let v = -30 + c. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*c + 74*c + 56*c + 73*c - 307*c + 67*c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = t - 4. Let g = 1 + t. Suppose g = 2*v - 23 + 1. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -713*n**4\/2 + 2104*n**3\/3 - 750. What is the third derivative of c(t) wrt t?\nAnswer: -8556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3025 by 5.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {s: 17, x: 3}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -1, 3414448 in decreasing order.\nAnswer: 3414448, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 10:46 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5266152263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**3*b*b**(1\/4))\/(b\/(b**(-1)*b))**(-8)*(b*b**(-2\/13)*b**(-1))**(-42) assuming b is positive.\nAnswer: b**(1025\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*d + 1 - 2 + 6*d)*(-2*d - 16 + 16) to the form s*d + l*d**2 + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/4 and (-22)\/9 - 68\/17?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -26 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 divided by 24.\nAnswer: -53\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 476992*m - 28440171008.\nAnswer: -2*(m - 119248)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 154*n**2 + 319*n + 819. Give k(152).\nAnswer: 3099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 29*x - 204. Let z be t(-18). Which is the second biggest value? (a) z (b) -0.1 (c) -3.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 7*q**2 - 7*q - 4. Let x be k(8). Let t be (-10)\/(-4)*(-12)\/165. Let a be (-8)\/126 + (-2)\/(-7). Put t, a, x in decreasing order.\nAnswer: x, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 2 = -23. Suppose d*m - 7 = 2*m. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/162)\/((56\/48)\/(-7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 9*h - 23. Let z be a(6). Let p(o) = 2*o**2 - 3 - o**2 + 4 - 2*o**2 - 5*o. Let l be p(z). Solve l = -m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 12*y**2 + 10*y + 31. Calculate k(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*f + 1249*f + 552*f = -15072 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12691261 - -7891261. What is r rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (3 - 1)) + 3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*t**2 + 246*t**2 + 96*t**2 + 163*t**2 to the form p*t**2 + f + s*t and give p.\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172835*r**2 - 3 + 3.\nAnswer: 172835*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + r. Let t(b) = -11*b + 5. Let l(v) = 4*k(v) + t(v). Let h be l(5). Suppose -4*u + h = u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040)*1)\/(3*sqrt(5)*-3).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 - 333*m**4 + 1319*m**3 - 983*m**2 - 1320*m + 1316 = 0. Calculate m.\nAnswer: -1, 1, 2, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61844478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 1 - 1)*(12817777 + 26726*u - 12817777) as t*u + x + b*u**2 and give b.\nAnswer: 26726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdddqqsqsuaeqsd. Give prob of picking 2 q and 1 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200 - -11?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 5*g**3\/6 - 11*g**2 + 7*g. Does 9 divide v(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 1 - 3)*(-2*n - 3*n + 4*n + (-n - 3*n + 2*n)*(-2 - 3 + 4) + n + 2*n - 2*n) to the form q + s*n and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1611 = -107*o + 109*o, -2*i = 4*o - 3230. What is the remainder when o is divided by 346?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 7, 969\/49 in decreasing order.\nAnswer: 969\/49, 7, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:37 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 7*v + 8. Let b be q(7). Let y = 16 - b. Let a = 12 - y. Solve -3*g = -a*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15638963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/(-6)) - -4. Let n = -475 - -648. Suppose 3*d = n - 167. Sort d, f, -2, 3 in ascending order.\nAnswer: -2, d, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:33 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6602*r + 1506*r - 5068*r + 793*r + 1 - 2*r**2 to the form u*r**2 + o + c*r and give c.\nAnswer: -9371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 6:49 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -38. Let i(w) = -4 + 42*w - 76*w - 3 + m*w. Give i(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -739 + 727. Let h(g) = 4*g**2 + 44*g - 49. Calculate h(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**3 - 427*o**2 + 72*o - 72. Calculate b(71).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 535230 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 62 (b) -2\/5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3225161, -6450322, -9675483?\n\"Answer: -3225161*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/54615 and 187\/39720.\nAnswer: 436920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272849, 272817, 272785, 272753?\nAnswer: 272721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209976 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 2*a - 16, -221*y - 13 = -219*y + 3*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {v: 6, f: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-27)*158370\/(-95))\/1. Let s = -786 + 230. Let w = s - d. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - (-11 - -6)*34\/5 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 17, 136, 377, 782, 1393?\nAnswer: 2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**5\/6 + 155*s**4\/6 - 135*s**3 + 770*s**2\/3 - 500*s\/3 = 0?\nAnswer: 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 740302\/20559 + (10 - 230\/5)?\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5 + 44*y**4 + 332*y**3 + 896*y**2 + 98*y - 1372.\nAnswer: 2*(y - 1)*(y + 2)*(y + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/127 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 822 = -4*r + c + 3077, -4*c - 2252 = -4*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185941900?\nAnswer: 2, 5, 71, 26189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 + 1030?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*x - 2 + 20, -4*x = 5*q - 36. Calculate the smallest common multiple of x and 19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(720)*2 - (sqrt(720) + -2 + 4 - sqrt(720) - sqrt(720)))**2 + 2 + -1.\nAnswer: -432*sqrt(5) + 6517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.3. Suppose 2*d = 3*s + 17, 3*d - 58 + 55 = 2*s. What is the second smallest value in 32, d, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvj when three letters picked without replacement from vvvvjvvvvvvvjvvj.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 509225477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7980)\/5850 - (-18 + (-1850)\/(-111))?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**(1\/6))\/x))**(-1\/51)\/((x*x*x**(1\/3)*x*x)\/(((x*x**(-5\/2)\/x*x)\/x)\/x)) assuming x is positive.\nAnswer: x**(-1201\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**9\/60480 + c**7\/5040 - c**6\/720 - 7*c**5\/12 - 23*c**2. Let n(x) be the third derivative of m(x). What is n(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 12:05 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c + 2. Let b(w) = -w**3 - 9*w**2 - 8*w - 4. Let y be b(-8). Let z be x(y). Calculate the highest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10419 - 44249 = 599*t - 9743 for t.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2205106 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**2 + 4*n**2 - n**2)*(n + 2*n - n)*(4*n + 2 - 2) as b + o*n**3 + h*n**4 + u*n + x*n**2 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-4 - 1\/(-1)). Suppose -4*p + 100 = -q*p. Calculate the highest common divisor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-273)\/9 - 1)\/((-2)\/3). Suppose -z + v = -w, 5*w - 183 = -5*z + 62. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 19 - 4 = 0. Does 16 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:30 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4739554*a**3 + 9*a**2 - 11*a + 172 wrt a.\nAnswer: -28437324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -643032 - -643037. Let f = -2.4 - 0.4. Which is the third biggest value? (a) -1\/3 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) -0.1 (c) -4 (d) -1\/5 (e) 420755\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/28*(2 + 5). Let u = -9 + 16. Let a be (0 - 2)\/d*u. Solve -5*v + 4*s + 4 = 0, 2*v - s - a = -3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 11*v + 7. Let r(g) = -g + 107. Let z(y) = 71. Let d(c) = -5*r(c) + 7*z(c). Let m be d(6). Calculate t(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.25191 and 0.01?\nAnswer: 0.24191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**1\/(t\/t**(-4\/5)) assuming t is positive.\nAnswer: t**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 5*p**2 + 6*p + 4. Suppose -2*b + b + 30 = 0. Suppose 0*n - b = 5*n. Let u be k(n). Solve 0 = -c - u*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 14*w**2 + 2*w. Let v be f(-4). Suppose v = 4*g - 4*j, -3*g + 5*g + 2*j - 104 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 319.\nAnswer: -1\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 333841*j**3 - 228650*j**3 - j**2.\nAnswer: -562491*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 7631 = 33676. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n - 80 = 0. Suppose p = 31 + n. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 20*1\/2. Let z(c) = 8*c**2 + 14*c + 33. Let a be z(-3). Calculate the greatest common factor of q and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/3))**(-1\/34)\/(((t\/(t*((t*t**(-2\/9))\/t*t)\/t))\/t)\/t**(-9)) assuming t is positive.\nAnswer: t**(-1261\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269178.84ns to minutes.\nAnswer: 0.000004486314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227027*-0.81.\nAnswer: 183891.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 - 13*x - 4. Determine i(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x - 29*x - 16 = 0. Let q = x + 8. Solve 6 + 10 = q*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 2)*(0*s + 0*s - 2*s) - 3*s - 2*s + 3*s + (15*s + 0 - 28*s - 1)*(6 - 2 - 2) to p*s + d and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*b + 14 - 23*b - 31*b)*(2*b**2 - b**2 + 4*b**3 - 6*b**3).\nAnswer: -4*b**4 - 26*b**3 + 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 297?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/6389 - -25582\/83057. What is the closest to 1 in 2, -1, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -16875 - 4915. Let y = -9284650 - -185780119\/20. Let q = y + s. What is the common denominator of -11\/4 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-5))**(2\/99))**(-1\/68) assuming o is positive.\nAnswer: o**(-7\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0 = -90. Let o = g + 29. Calculate the highest common divisor of o and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4 - 48728*q**3 - 19453896*q**2 = 0. Calculate q.\nAnswer: -23958, -406, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*m = -2*m + 22, 0 = 5*m - 25. Suppose -u = i*u. Suppose -2*j + 130 + 4 = u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11, 0, 5\/2, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 6*q - 45. Suppose -2*b = -q - 29. Suppose 3 = -2*c + 3*l, 5*l + 6 = 2*c + b. Calculate the lowest common multiple of 10 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 (base 10) in base 15?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 424314 and 422604 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 12*g**2 - 2*g + 101. Let x be y(-11). Solve 4*b - 7*f - 27 = -x*f, -f + 12 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70616 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 3 + -1 + 12*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -18*c + 406. Calculate the lowest common multiple of u(22) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.56845 microseconds?\nAnswer: 568.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*o)*((-39 + 12*o + 39)*(-5*o**2 + 5*o**2 - o**3) + 2*o + 2*o**4 - 2*o).\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16720 = -5*d - 3*x, 6688 = 6*d - 4*d + 2*x. Suppose 5*i - 4*t + 521 = d, t + 2817 = 5*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, -6, 7, -4 in ascending order.\nAnswer: -21, -6, -5, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3))**(-37)\/((b\/b**(-2)*b)\/b*(b\/b**(-1))\/b)*((b\/(b\/(b*b**0)))**(-28))**36 assuming b is positive.\nAnswer: b**(-3073\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 322350562*c*g**3 - 218678601*c*g**2 + c wrt g.\nAnswer: 1934103372*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 415729 to the power of 1\/2, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/39236292 and 83\/96.\nAnswer: 313890336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -84*l**2 + 4*l - 7. Let w be h(1). Suppose -2*p + t = -221 + 14, p - 3*t - 116 = 0. Let b = w + p. What is the smallest common multiple of b and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2870 * 4\nAnswer: 11480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**7\/840 - a**6\/48 - 3*a**5\/20 - 19*a**4\/48 - 13*a**3\/24 + 140*a**2. What is p in c(p) = 0?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83570 (base 9) to base 13.\nAnswer: 1c13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**5\/30 - 2*l**3\/3 - 7*l**2. Let f = 84 + -80. Let k(o) = -2*o**2 + 5. Determine f*k(u) + 5*h(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 18. Let d be g(17). Let q = 118 + d. What are the prime factors of q?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971 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: Let f(x) = -30*x - 32. Let o be ((-150)\/(-4))\/5*24\/(-20). What is the hundreds digit of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-342*j**3 - 6363*j + 341*j**3 - 8974*j + 1949*j - 5327*j)*(-1 - 2*j + 1).\nAnswer: 2*j**4 + 37430*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 8162?\nAnswer: -8162.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9. Let c(p) = -1450*p - 3654. Give 2*c(m) + 812*o(m).\nAnswer: -2900*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 12:37 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 6*i - 20. Let g be 1*-1*(i - -7). Solve a + 4 = -g*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*r + 19, 0*h - 5*h + 5*r = -55. Suppose -n = -0*n - h. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10861847 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/12)\/(12\/(-54)). Let s be 8 - (-1 + 2 + k). Solve -s*v + v + 12 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122388 is divided by 5315.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/13)\/o)**(-1\/16) assuming o is positive.\nAnswer: o**(11\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 824 and 678564.\nAnswer: 1357128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 754520 and 6593344?\nAnswer: 428567360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5248?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 5*k + 4. Let r(t) = 105 - t**2 - 5*t - 3*t - 99. Give 7*d(a) - 5*r(a).\nAnswer: -2*a**2 + 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(((-31)\/(-248))\/((-55)\/4)) is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfvvvvvvf. Give prob of sequence vvff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2047.\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32095 and 4585?\nAnswer: 32095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 4. Let p(j) be the first derivative of -3*j**2 + 2*j - 7. What is the tens digit of p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.1 (c) 0.02 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 394 divided by 5\nAnswer: 394\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1989668*s + 5969005. Give l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/15 + h**4\/4 + 16*h**2. Let w(s) = 2*s**2 + 3*s. Give 3*r(g) - 5*w(g).\nAnswer: 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h - 9 = 0. Let f be h\/(10\/65 - 121\/533). Suppose -g - f + 437 = 0. What is the greatest common divisor of 36 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 23. Let v(u) = -u**2 - 7 + 4*u - 1 - n*u. Let b be v(-6). Is 4 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.3 + -0.7. Which is the nearest to -2\/7? (a) t (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:49 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i - 62*i**2 + 2*i + 11*i + 65*i**2. Let k(c) = 7*c**2 + 17*c. Suppose -7*f - 76 - 15 = 0. Determine f*g(d) + 6*k(d).\nAnswer: 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/30 + i**4\/8 - 3*i**3\/2 + 52*i**2. Is 19 a factor of y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(190))\/sqrt(10))**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 302*m - 302*m + 601*m - 1380 + 1380.\nAnswer: -m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16813*y**3 + 31941*y**2.\nAnswer: 100878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 9*n = g + 8, 32 = 5*g - 4*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 366858994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 - b**3 - b**3 - 2*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 824 - 2?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = 2*u - 998. Let j = u + -689\/2. Find the common denominator of (2\/(-5))\/(2\/8) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2474633 to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -343 - -343. Suppose -5 = 3*t + 1. Let r be (q\/(t\/(-2)))\/2. Solve 5*j - 4*j - 2 = r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(432) + -5)**2 + -4.\nAnswer: -120*sqrt(3) + 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**6\/360 - t**5\/24 - t**4\/8 - 9*t**3 + 39*t**2. Let n(l) be the first derivative of v(l). Determine n(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + ((sqrt(156) - (sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156)*2))*-1 - sqrt(156)))*2)\/(-2*sqrt(1728) - sqrt(24)\/sqrt(32))).\nAnswer: -8 + 48*sqrt(13)\/97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4831 - 22975 - 22746 = -870*g for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 24*d - 14. Determine t(-24).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385739509?\nAnswer: 23, 16771283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -909*m**3 - 106*m**2 wrt m?\nAnswer: -5454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*6556.\nAnswer: -1311.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.3 - -13. What is the smallest value in -0.5, y, 2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*3*(4*sqrt(133) + sqrt(133)))\/((sqrt(693)*3 + sqrt(693))\/sqrt(11) - sqrt(2268)*4).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5504072 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 5*i + 1559980, -d = i + 390004. Round d to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48354, 96708, 145062?\n\"Answer: 48354*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 3. Give z(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6\/11 (b) -1 (c) 12 (d) -0.4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11102 (base 3) to base 11\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -51. What is the second derivative of 6*s**4 + 7*s**4 - 8*s**q + 4*s**4 + 71*s + 2*s**2 wrt s?\nAnswer: 108*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k + 13. Let f be t(-2). Which is the third biggest value? (a) f (b) -1\/7 (c) 6\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92.21 - -92.21. Let t(l) = l**3. Let o be t(-1). Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.948853 + 3.949. Round c to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 952225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111668 + 175024. What are the prime factors of i?\nAnswer: 2, 47, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.2105328019173 + -2.\nAnswer: -19.2105328019173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*p - 4 = 0, 2 = r - 3*p - 2. Suppose 2*j - 27 = 73. Let d = -46 + j. Solve 0 = -3*i + 2*i + d*l + 10, r*i + 5 = l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -68, -287, -730, -1475, -2600, -4183, -6302?\nAnswer: -9035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 114 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 5*q**2 - 8*q + 2. Suppose 4*o - 2*f + 24 = 0, 3*o - 3*f = -o - 24. List the prime factors of x(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0, -0.26, -1, -45?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9314 plus 5.11797?\nAnswer: -9308.88203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 24 = -15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62352 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (33\/(-132))\/((-1)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -18. Let j(x) = x**3 - 8*x**2 + 10*x - 8. Let n be j(s). Which is smaller: n or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58931 and 72416.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*3\/3 + -1. Suppose -2*o - 2*g + 10 = 0, 0 = -2*g + a*g - 5. Is (-3 + o)\/(2\/74) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 26 - (-1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 12363 = 5*j, 0 = -42*o + 44*o + 12. List the prime factors of j.\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2220\/13 (b) -8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 6) in base 9?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*f + 14, -3*f + 10 = -0*w + 5*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-14))\/((-105)\/1701) - (0 + 7). Which is the third smallest value? (a) 0 (b) -0.02 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**6*z))\/z)\/(z*z**(-3)))**(-47)\/(z\/(z*z**(-3)\/z)*z*z**3\/z*z*z*(z**(2\/13)*z)\/z**5) assuming z is positive.\nAnswer: z**(2988\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -10*d + 8*d. Suppose -4*m = 5*s - 13, d*s = 5*m - 18 - 29. Suppose -4*h = -2*y - 18, -5*y - 5 - 25 = -5*h. Solve 2*u - h - m = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54031518 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-1 + (4 - 2) - -6 - 6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let p be j\/((-2 - -6)\/2). Suppose p*b = 2*b + 4*s - 34, -37 = -2*b - s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/21 - 2\/7. Sort b, -0.5, 0 in descending order.\nAnswer: 0, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from jjwyjjyjjywi?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*b - 14 = 0, v + 16*b - 19*b = -11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114323649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225 - -405. Let q = x + -179.8. Which is the third smallest value? (a) -13 (b) -5 (c) -2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 28*k - 15*k - 15*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 110859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24859 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: Solve 6*x - 17*x + 108 = x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d = -21*d + 646. Calculate the common denominator of (2\/280)\/((-7)\/14) and d\/119 - 106\/(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 57.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + m**2 + m + 2. Let g be h(0). Let n be ((-4)\/3)\/(g\/6). Let w(t) = t**2 + 2*t + 2. What are the prime factors of w(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from uuuoe.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/31)*d**(-3\/13))**(-8\/9)\/((d**(1\/2)\/d)\/d*d*d\/d**3*((d*d**(1\/4))\/d)**(-36\/7)) assuming d is positive.\nAnswer: d**(199735\/50778)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 7. Suppose -g = -3*g + 56. Let n(a) = -43 - 40 + 164 - 39 - 41. Give g*n(m) + 4*y(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(3\/57) - -4. Let l be (-10)\/(-4) + 36\/k. What is the nearest to l in 0, -1\/12, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9214*u**2 - 24299*u**2 - 23140*u**2.\nAnswer: -56653*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2057) - (sqrt(2057) + 0))**2 - -1*(sqrt(2057) + -1) - 5*((sqrt(17) - (4 + sqrt(17) + 0)) + sqrt(68) + -5)**2.\nAnswer: -746 + 191*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f + 16\/5*f**5 - 3 + 7\/2*f**4 + 0*f**2 + f**6 + 4\/3*f**3. Factor v(t).\nAnswer: 2*t**2*(t + 1)**2*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 434*o**2*w**3 + 318*o**2*w + 2 wrt w?\nAnswer: 2604*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14657351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, 11, -5, -2768, 1 in descending order.\nAnswer: 11, 4, 1, -5, -18, -2768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g - 11*g - 16, -4*n = 2*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, q: 1, m: 2}. Give prob of sequence tqmm.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 5, 1\/4, -0.11, -0.22?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 27*m**2 - 15*m - 299. Let i be b(26). Let p(c) = c**3 + 13*c**2 - 3*c - 24. Calculate p(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118215 (base 11) to base 3\nAnswer: 100110222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r. Let a be t(-2). Let w = 16 - 15. What is the highest common divisor of w and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, y: 5, t: 2}. Give prob of sequence yq.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 28 + 21 - 6*z + 25 + 18 - 85. Give h(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1605641 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 423403 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -11 - (0 + 3). Suppose -3*z - 22 = 65. Let d = r - z. What is the greatest common factor of d and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + 0*n)*(6*n - 6*n + 3*n**3) - 2*n**2 - n**4 + 2*n**2 + 2 - 5*n**4 - 1 + 2*n + 14*n**4.\nAnswer: 2*n**4 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/9352949 - 757611661\/106586206804. What is the common denominator of t and 89\/10?\nAnswer: 56980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 11*x**2 + 31*x - 30. Calculate z(12).\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**13*p)\/p*p*((p\/(((p\/p**(5\/7))\/p)\/p)*p)\/p)\/p*(p*(p**5*p)\/p)\/(p**(13\/3)\/p) assuming p is positive.\nAnswer: p**(386\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 22 (b) 1\/3 (c) 45 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -44.9. Let d = m + 4.90016. What is d rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 64870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-10))\/((a*a\/((a**(-3\/7)*a)\/a))\/a) assuming a is positive.\nAnswer: a**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 + 7. Let w(q) = -6*q**2 - q - 8. Let t(g) = 5*d(g) + 4*w(g). Let n be t(4). Suppose m = n + 3. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136828940 rounded to the nearest one million?\nAnswer: -137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6 + 0*c + 0*c + c + 6. Let q be j(-10). Find the first derivative of -3 + 8*n**2 - 11*n**q + 3 - 6 wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011010111000 + -11?\nAnswer: -11000011010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 247 = 4*f - 88, -3*f = -3*v - 231. Let o = f - 29. Suppose -78 = -4*s + q, -70 = 3*s - 5*q - 154. Calculate the remainder when o is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-104)\/20)\/(3\/(-105)). What is the highest common factor of 26 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-461*r**4 + 12*r - 71*r + 3*r**2 + 463*r**4)*(9*r - 14*r - 5*r).\nAnswer: -20*r**5 - 30*r**3 + 590*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q - 54. Calculate the remainder when 21 is divided by x(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**19\/t*t)\/t)\/((t**(-1\/13)\/t)\/t))\/(t**(-5\/6)*t)**(-44))**20 assuming t is positive.\nAnswer: t**(22160\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -405, -715, -1009, -1281, -1525?\n\"Answer: q**3 + 2*q**2 - 323*q - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -0.3 (c) -4\/31985\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**9*y*y**(-14)*y assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*j + 29*j - 28527 = -128*j for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -1757286.\nAnswer: 8\/878643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 119?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazeemazmbeezm. What is prob of picking 3 e and 1 m?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 6*n - 478. What are the prime factors of n?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + -1 + (5 - 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/54115551 and 5\/49?\nAnswer: 54115551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = -2*a, 0 = 3*x + 72 - 63. Let d(z) = -z - 25. Give d(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by 66.\nAnswer: 127\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 3*f**2 + 3*f. Let p be b(-2). Let h(a) = -3*a - 3. Determine h(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174172.\nAnswer: 2, 43543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-2)\/(-10)*5. What is the nearest to q in 2\/9, 3\/2, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -11. Let p be (-10)\/12 + m\/(-4). Suppose 16*s = 23*s + 14. Which is the closest to p? (a) 0.1 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1642e2 (base 16) to base 8.\nAnswer: -5441342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 - -25. Suppose -28 = 4*c - p. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 divided by -2.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*r - 254, 4*d - 5*r - 385 = d. Let l = 125 - d. Is l at least -1\/172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25033, -25055, -25081, -25111, -25145, -25183?\nAnswer: -25225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-20) - (-23)\/40)*(-120)\/(-90)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101100000001 (base 2) to base 5.\nAnswer: 210123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.004 * -53867\nAnswer: -215.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1874, 1865, 1842, 1799, 1730, 1629?\nAnswer: 1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 12434775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 9. Let f(n) = -n**3 + 4*n**2 + 2*n - 5. Is f(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:10 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**20*x)\/(x\/x**(-12)*x*x*x))\/(x\/(x*x**14*x))**(-29))**(8\/5) assuming x is positive.\nAnswer: x**(-688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*(-7)\/(-84).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993.5 rounded to the nearest 10?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279953.\nAnswer: 71, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130 - -132) + (2 - -10) + -15 + 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 7*p + 5. Let w be s(5). Let n be (-2)\/3 + (-128)\/(-168). Which is the third biggest value? (a) 5 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1044*d + 1785 = 1047*d. Is d a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (203\/(-42) - -10) + (-2)\/3. Let v(t) be the first derivative of 2 - z*t**2 - t. Differentiate v(j) wrt j.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 1. Let x be m(7). What is the highest common divisor of x and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (sqrt(25)\/(sqrt(125) + sqrt(5)))**2) + -1*(0 + sqrt(5) + sqrt(5))*1.\nAnswer: -5\/36 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15722 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/54*2*15\/(-5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-25))\/((13338\/(-760))\/117)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 81*j**5 - 315*j**4 + 390*j**3 - 180*j**2 + 24*j = 0?\nAnswer: 0, 2\/9, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 148, 295, 456, 637, 844, 1083, 1360?\n\"Answer: w**3 + w**2 + 137*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 460 + 2?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5111402248.\nAnswer: 2, 163, 3919787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 95285.41 millennia?\nAnswer: 1143424920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 26 = -2*g, 4*w = -4 + 12. Let z = 133 + -91. What is the remainder when z is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 2*i**2 + 0*i**2)*(5*i**2 + 0*i + 0*i)*(3 - 3 + i).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.8 - -1.2. Let t = -0.053 - -28.753. Let s = t - b. Round s to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 61 + 43. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b + 34. Let j(d) = 5*d - 33. Calculate 2*j(z) + 3*p(z).\nAnswer: z + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**3 - 42*s**2 - 19*s - 7. Let w be x(-8). Solve w*a = -80 + 29 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 8:08 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -100*b + 89*b. Is 25104\/b + (-7)\/(43 + 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-5 - -1) - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31985 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -2, 752, -831 in decreasing order.\nAnswer: 752, -1, -2, -5, -831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2384 - -2386. Solve 0 = 5*x - 5*j - 15, -q*x = -4*x + j + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-112)\/44) - (-3)\/(-7). Let s(j) = j**2 - 11. Let d(m) = 1. What is x*s(l) - 14*d(l)?\nAnswer: -2*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -4)*2\/(-2). Suppose p*n + 10 = n. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*-1 + sqrt(5) + -2 - sqrt(5) - (sqrt(405) - (sqrt(405) + 0 + sqrt(405)))) + 3 + sqrt(15)\/(sqrt(3) + 1*sqrt(300)) + 2)**2.\nAnswer: 534*sqrt(5)\/11 + 40694\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1887715863.\nAnswer: 3, 11, 19067837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let r be j(-3). Suppose 0 = 3*f + 69 - 57. Put r, f, 1 in increasing order.\nAnswer: f, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(sqrt(133)*5 - sqrt(133) - sqrt(133))*-4)\/(sqrt(1008) + 1*-6*sqrt(1008)).\nAnswer: -2 - sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1098 + 1095. What is the closest to 2 in s, 8, 0.2, -57?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 + 80.929. Let q = -1021 - -1023.229. Let n = x - q. What is n rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - -3. Calculate the remainder when i is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 3*v**2 + 8*v - 8. Determine w(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2176 to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-216)\/(-15))\/(30\/(-100)). Let j = w - -52. Let p be ((-4)\/36)\/(j\/12). What is the closest to p in 0.2, -3, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2\/15 + 124*l\/3 + 9610\/3 = 0?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 75*x**2 - 27*x - 51. Let u be v(-2). Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 54705, 48 in descending order.\nAnswer: 54705, 48, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/38 + -71\/190. Let l be 1\/(-2 + (-14)\/(-6)). Suppose -l*o - 9 = 3*b, 2*b + 3*o + 10 = -0*o. Which is bigger: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2938223?\nAnswer: 2938223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 12*u - 12. Let m = -180 - -190. What is p(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/30 + h**5\/60 - 67*h**4\/24 - 12985*h**3\/6 + 10*h**2 - 42*h - 3. Differentiate s(f) with respect to f.\nAnswer: 12*f**2 + 2*f - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 80821 (b) -3\/5 (c) -2\/3 (d) -1 (e) -1\/4 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 490\/(-168)*(-315)\/70.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllleell. What is prob of sequence el?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 6. Let t be z(-2). Suppose -118*w + 113*w + 12200 = t. Round w to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(29 - 61 - 40)*(-2*q**2 + 3*q**2 - 2*q**2) in the form k + a*q**2 + v*q and give a.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 380233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1750003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 + 1 = -3*r, -2 = r. Let o be (6\/8)\/((-10)\/8). Which is the nearest to -1\/2? (a) j (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Suppose n + 2 = -2*b - v, 0 = 4*b + 16. Suppose 0 = 4*m - n*m - 31. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3762\/570)\/((-6)\/(-10))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 91. Let y(h) = -h - 30. Let j(b) = -2*l(b) - 7*y(b). Determine j(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2*t = -19, -421*y + 3 = -422*y - 4*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-175)*5\/(-1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -470115 (base 8) to base 6.\nAnswer: -3231525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120 - 126)\/(1\/(-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83\/5 or -401317?\nAnswer: -401317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 2 - 4) + 18 - (46 + 28 + -64)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -2)\/(11\/(-22)). Solve -3*x - 5*c = m*x, 5*x - c = 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17959 + 18071.03. Round z to the nearest integer.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 39 = 4*c + 58, 19 = -4*g - 7*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 3*z + 0*z)*(-3*z - 3*z + 4*z) + z**2 + 0*z + 0*z + (-3 + 1 + 0)*(-1 + 1 - z**2) + 5*z**2 - z**2 - 2*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3. Let d be ((-68)\/85)\/((-1)\/20). Is (3 + g)*-1*(-2564)\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((-8)\/3 - 158\/(-237))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -46. Let h be -489996 + r + 0 + -3. What is h rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x - 2840 = 15237 + 2023. Calculate the greatest common divisor of x and 938.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (19\/(-3))\/(9\/54). Let h = -39 - b. Put 2, 5, h, 0 in decreasing order.\nAnswer: 5, 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -732 (base 15) to base 9\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.1 + 90.1. Let n = v - 71.5. Suppose -r = -5*l - 0*l - 6, -l + 1 = 2*r. Which is the smallest value? (a) 2 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 16*k - 9. Let v be w(6). Let b = v - 134. Let y = b + 292. Calculate the remainder when y is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and 9.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1532763 and 252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 0.2 (b) 4 (c) -1\/5 (d) -3603 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 - -22079?\nAnswer: 22576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k**2 + 178*k**3 + 66*k**2 + 15*k**3 + 122*k**2.\nAnswer: 193*k**3 + 159*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 6*v**2 + 43*v + 477. Let y be d(-8). Solve -2*f - 5 = -y*l, -4*f - 13*l + 3 = -10*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9491.315 kilometers in meters?\nAnswer: 9491315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.56 - 27.5. Let g = 2.14 + f. Which is the nearest to -8? (a) g (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17215\/894 + -40\/447. Calculate the common denominator of f and 7\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6780870 and 4248.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 110, -4, -0.17, -4\/5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03899916 + 0.039. What is o rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 1. Suppose 2*m - 6 = -3*y + 5*m, m = -y. Let p(s) = -s**2 - s + 3. Determine y*p(f) - 2*j(f).\nAnswer: f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 783, 27, 0.8, 7?\nAnswer: 783","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*c = 7563, -5*a - 3*c + 3099 = -6354. What is the smallest common multiple of 945 and a?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(363) + sqrt(363)*-2)*-4)**2 + (sqrt(6)\/sqrt(2) + 1 - (sqrt(324)\/sqrt(9))\/sqrt(12))**2.\nAnswer: 5810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -992767\/14 or -70911?\nAnswer: -70911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113.07 + -0.07. Let s = -112.999999818 + q. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.16 rounded to one decimal place?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/4)*k\/(k\/(k\/(k*(k**(1\/5)\/k)\/k*k)))*(k**(1\/2))**(-15) assuming k is positive.\nAnswer: k**(-139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 566 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 7*c**2 + 5*c - 1. Is t(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110*i - 5*i**2 + 110*i + (i + 0 + 0)*(i - 2 + 2) + 2*i**2 + i**2 - 2*i**2)*(-2*i**2 + 0*i**2 - 2*i**2).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 + 151 + 13 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397775 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2. Suppose 88*a = 58*a. Let s(o) be the third derivative of 0*o**4 + 0*o**3 + a - 4*o**2 + 1\/5*o**5 + 0*o. Give b(s(x)).\nAnswer: 288*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*y - 7. Let q = 20 - 20. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172848136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79 + 2*b**3 - 2*b + 49*b**2 + 26*b**4 - 24*b**4 - 151*b**2 + 78 to r*b + s*b**4 + v*b**2 + o + d*b**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-123)\/(-1)*10\/(-15). Let s = m + 88. Solve -f + s = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2554, -11460, -26378, -47308, -74250?\n\"Answer: -3006*l**2 + 112*l + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.9, 21, 47, -5, -0.2?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/57)\/(6\/7 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7478, -7503, -7660, -7949, -8370, -8923, -9608?\nAnswer: -10425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 17. Let s(j) = -j**3 - 8*j**2 - 13*j - 3. Let p be s(-5). Let r be d(p). Solve 4 + 8 = 4*l + c, 3*l = 4*c + r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 5}. Give prob of picking 3 g.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -994*n - 227*n + 4485 + 2977 = 136 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -1. Let i = -0.4052 + 1.4052. What is the closest to -0.1 in -8, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23751?\nAnswer: 3, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.4 + 22. Let t = -15 - -14.9. What is the nearest to t in 2, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 10. Let d(s) = 10*s + 9. Give -2*d(w) - 3*t(w).\nAnswer: -8*w + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 12. Let d = -3 + 1. Let u = 4 + d. Which is the second biggest value? (a) -0.3 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 299, 0.03, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -8342.88\nAnswer: 3337.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12322 - -2?\nAnswer: 12324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-2))\/((-6)\/(-12)). Suppose -4*b = -n*b + 21. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 14 + 4 + -15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 12:43 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 21675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 - 1449*i\/2 + 78008.\nAnswer: (i - 2786)*(i - 112)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 2. Let i = -4 + d. Solve i*k = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 10*k**2 + 16*k + 2. Let z be b(-5). Let q = 102 - z. What is the highest common divisor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008976 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 484 + -479. Suppose v*a - 2*y = -5 + 13, 3*y + 7 = 5*a. Solve a*x = 4*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 16. Let z be (9\/v)\/(1\/2). What is the second derivative of h + 4*h**3 - 6*h**z + 0*h**2 + 0*h**2 wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from uppupu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*a - 1308160749 = -79*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 22*u**4\/7 + 1014*u**3\/7 - 3098*u**2\/7 + 1866*u\/7 + 28 = 0.\nAnswer: -49, -1\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -14, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1705 or -5\/6?\nAnswer: -1705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-6))\/(2\/82)*(-82 - -769)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = 23*p + 2*p + 78. Sort 6, -42, 5, -1, p in ascending order.\nAnswer: -42, p, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -339*j**4 + 17*j + 34734 wrt j.\nAnswer: -1356*j**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*g - 155, -g + 4*j + 80 = g. Let s = g + -34. Suppose -7*x = -5*x - s. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -37922?\nAnswer: -3\/37922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322\/46 - (-4 + (-3 - (-4 - -4))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16524 and 12636.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5025 + -0.05.\nAnswer: 5024.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20746 + 20758. Calculate the highest common factor of 1038 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 8. Solve 0 = -3*x - 7 - r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 3:09 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1168 (base 10) to base 12\nAnswer: -814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**3 - 2*v**2 + 3*v - 1. Let a be w(2). Which is greater: -34 or a?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1534230 by 16.\nAnswer: 767115\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 99942 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (149*d - 520*d + 1127*d)*(-2 - 1 + 8) in the form z*d + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 1. Let k(l) be the first derivative of 7*l**4\/4 + 14*l**3\/3 + 14*l + 2. Let g be -9 + ((-48)\/84)\/((-4)\/70). Give g*k(s) + 14*a(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2 - 5811*q - 34758 = 0. Calculate q.\nAnswer: -1931, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2 + (-36)\/8. Let y = 25.5 + -3.5. Let w = y - 27. Sort u, -1.5, w in descending order.\nAnswer: -1.5, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = -10. Suppose -12 = -7*y + t*y. What is the remainder when 21 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 13*m**2 + 17*m - 35. Calculate n(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 144? (a) -0.06 (b) 2 (c) -6.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8834633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(-1*sqrt(2)*3).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(16\/64). Let z(a) = -8*a - i*a**2 + 8*a. Let j(k) = 9*k. Determine z(j(g)).\nAnswer: -162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*-6 - sqrt(320)*-1.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:30 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 1. Let i be (-30)\/5 + 2 + -1 + 1. Determine j(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 84. Let q be (-1)\/(-7)*-5 + (-28)\/98. Let d be -2 + 38 + -8 + -2 + q. Solve o*j - 4*j = -d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 74.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 281487.945 - 0?\nAnswer: 281487.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -28*d**2 + 85 - d**3 - 27 - 27*d - 58 = 0.\nAnswer: -27, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -4*l - 6, 4*y + 27*l - 22*l = -9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -4 - ((-30)\/(-8))\/3\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + h**2 - 6*h**2)*(-62 + 32 + 30 - 66*h**2) + 5 - 6*h**4 + 9 - 5.\nAnswer: 126*h**4 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -20. Suppose p*d + g - 5*g - 12 = 0, g + 21 = 5*d. Suppose 15 = 4*r + s, 9*r - 11*r + d*s - 6 = 0. Solve r*l + a = 17, 2*l = a - 3*a + 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/120 - b**5\/30 + b**4\/24 + 5*b**3\/6 - 32*b**2. Let n be h(-2). Suppose -8*y + 3955 = -n*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - h + 0*a - 60 = 3*a, -1805 = 95*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:53 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/8 - (-6)\/8. Suppose j - 6 = -o*j. Let n be (j - 13\/3)*72\/16. Does n = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7348382?\nAnswer: 2, 149, 24659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122135 - 102?\nAnswer: 122033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*z + 6 + 74*z - 3*z**2 - 21*z + 141*z + 290*z in the form j*z + f + b*z**2 and give j.\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = -u. Let p = 6 + u. Suppose 10 = 5*y - 5*v, 4*v + 4 = 3*y - 2. Solve -y*z = -2 - p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 + 15\/2. What is the derivative of -1 + 4 + k*u**2 - 3*u**2 wrt u?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25576.\nAnswer: 2, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3056 - 3013 + 994 - 142 = 1739*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 17*g + 106. Let c be n(-6). Solve c*l - 5 = 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 + 4*v. Let x(c) = -16 + 23*c - 18*c**3 + 16. Let y(o) = -34*w(o) + 6*x(o). What is the second derivative of y(i) wrt i?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 47445 * -0.3\nAnswer: -14233.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 3776 - 2428 = 0. Does 47 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*j - 2*j + 7 = 0, 3*j = -a + 1. Let q(v) = -9*v - 16. Let i be q(-2). Let p be 4*(-5)\/a*i. Solve p*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133799249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 18 - 41*f)*(5*f + 0*f + 4 - 10*f) as i + j*f + p*f**2 and give j.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 18 = 82. What is the remainder when 55 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8202686 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: What is 7458 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4115*p**2 + 3665*p - 1 wrt p?\nAnswer: -8230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2015427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 2. Let d be u(-3). Suppose 8*g - 6 = d*g + 2*m, -1 = m. Suppose 16*p - 10 = 11*p. What is the remainder when p is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 - -218. Suppose 359 = 25*q - 2416. Calculate the greatest common factor of c and q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*o**4 + 184165*o**3 + 6873545*o**2?\nAnswer: -168*o + 1104990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 38. Let n(h) be the second derivative of -h**5\/20 - 7*h**4\/6 - 5*h**3\/2 + 3*h**2 + 2*h. Does 7 divide n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -681, -683, -685, -687, -689, -691?\n\"Answer: -2*r - 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 - 5\/((-10)\/(-6)). What are the prime factors of 61\/3 - d\/(-12)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, m: 5}. What is prob of picking 1 q and 1 m?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 0 + (-63)\/12. Let j(a) = a**3 - 5*a**2 + 3*a + 2. Let t be j(4). Let k = -5\/4 - -3\/4. What is the third smallest value in t, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:18 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-66*l**3 + 15*l**3 - 37*l**3 - l**4).\nAnswer: -2*l**4 - 176*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13989794 - 1689794. What is g rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444 is divided by 181.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 2)*(-33 - 104 + 68 - s).\nAnswer: -5*s - 345","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/60 + 4*p**2. Let x(s) = s**2. Determine x(j(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*p**2 - 39*p**2 + 15*p**2 + (2*p - 3*p + 2*p)*(0 + 2*p + 0).\nAnswer: -57*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 0.18785781.\nAnswer: -5.81214219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 - 1538 = -26*n. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-13)\/u*u*u*u**(-4\/15)\/u*u*u)**(8\/3))**(-16) assuming u is positive.\nAnswer: u**(21632\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a millennium in years?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13846 - 9670. Let r be l\/435 - (0 + (-3)\/(-5)). Solve 6*n - r*n = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -987 + 577. Let v = i - -15989\/39. Are v and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-1)\/(10\/(-15765))). Let s = 1944\/83029 - q. Let c = s + -251\/553. Sort c, 27, 1, -5 in descending order.\nAnswer: 27, 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200210120 + -10?\nAnswer: 1200210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**2 - 29. Let x(t) = -13*t**2 + 30. Let b(d) = 5*x(d) + 4*z(d). What is the first derivative of b(a) wrt a?\nAnswer: -26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66*(-8)\/(-440)*-25\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3306 is divided by 1100?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 704 + -728. Which is bigger: s or -30?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 479*j - 3281. Let y(f) = 2*f**2. Calculate b(y(d)).\nAnswer: 958*d**2 - 3281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3550 + 3554. Let o = -8269\/13882 + 3\/631. Let m = 1\/11 + o. Which is the smallest value? (a) m (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1506 divided by 3\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344368944 to the power of 1\/3, to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 13. Which is smaller: t or -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.5. Let t = 4.4 - 4.149. Let o = 0.051 - t. Which is the nearest to 1? (a) w (b) o (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1038 + 1035. What is the third biggest value in -1\/5, -1\/18, x, 10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3764.91131967 and 46.\nAnswer: 3810.91131967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v**2 - 7*v + 122. What is the tens digit of c(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -15\/2. Suppose -24*h = -21*h - 9. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 12*i - 7. What is the tens digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -335.78 + 343. Let x = j + 27.68. What is x rounded to zero dps?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.5, -1, 1790\/7, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -15*n**4 + 21474*n**3 + 356367*n**2 - 230130*n - 147696 = 0.\nAnswer: -17, -2\/5, 1, 1448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*o + 28. What is the third derivative of -12*l**5 + 9*l**2 + 13 - o*l**4 - 15 + 11*l**5 wrt l?\nAnswer: -60*l**2 - 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9097, -36393, -81885, -145573, -227457, -327537, -445813?\nAnswer: -582285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19876 - -19884.223. Let l = n - 8.65. What is l rounded to 2 decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105700.\nAnswer: 2, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1381*h**2 - 314?\nAnswer: 2762*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6809\/32154 + 3\/233. Calculate the common denominator of a and 25\/276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-80)\/(-35))\/4 - 278900\/(-14). Is (3 + 30\/(-12))*u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91817.9 - 23\nAnswer: -91840.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8395340, -8395339, -8395338, -8395337?\n\"Answer: k - 8395341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**2\/x)*x*x)**(-21)\/(x**(-1\/7)\/(x**(-1\/4)*x)) assuming x is positive.\nAnswer: x**(-1151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**4 - 5*g**2 - 627*g**3 + 626*g**3 - 2*g**4 + 29*g to the form u + s*g**4 + v*g**3 + q*g**2 + m*g and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*i + 436 = -16*i + 190. Solve -2*h = -i*y + 16, 23*y - 25*y = -5*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -25. Suppose -2*f - 224 = -5*y, 4*y + 3*f = 2*y + 101. Calculate the least common multiple of y and c.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -55. Let m = 4118527 + -4118528.99999888. Let a = m + s. What is a rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1716, -1702, -1674, -1626, -1552?\nAnswer: -1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -6351 (b) 3 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6673208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -63*b - 6296. Let a be w(-100). Solve a*s + 2*j + 2 = 0, 13 - 3 = s - 3*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3860131?\nAnswer: 11, 103, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 96 = 3*q, 2*o - o - 90 = -3*q. Suppose 5*m - o = 292. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3919101*j**2*p**3 - 16*j**2*p + 14*j**2 - 9764313 with respect to p.\nAnswer: -11757303*j**2*p**2 - 16*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*g + 6, -5*y + g = 5*g - 18. Suppose 2*d = -y*d. Let r = d - -2. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 + 7 - 16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 515. Let t(r) = 9*r**2. Give j(t(f)).\nAnswer: 81*f**4 - 515","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*x + 9 = -270*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/27 (b) -0.068 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-18*n + 11*n - 88*n).\nAnswer: 190*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1919, -3427, -4935?\nAnswer: -6443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/4 - 837*k**2\/2 + 693825*k\/4 + 1414562 = 0 for k.\nAnswer: -8, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/4131 and 149\/162.\nAnswer: 8262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23266*z**4 + 2*z**3 + 118439*z**2 wrt z?\nAnswer: -558384*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + p**2 + 0*p**2 + (3 - 3 - 2*p)*(-p + 2*p + 0*p) + (8*p**2 - 5 + 5)*(329 - 18 - 4) + p**2 - p + p.\nAnswer: 2454*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 636573.8km in millimeters?\nAnswer: 636573800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5 (c) -43.15 (d) 5 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 + 7 = 0. Suppose r*q - 5*q = -177. Suppose -q = -4*j + 67. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 3\/((-2)\/2). Let l = 1.01 - 0.41. Let z = -77 - -76.6. What is the closest to 0 in y, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 - ((-496 - -518) + 49 + 1)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x + 4*s + 9 = 31*x, 16 = 4*x - 4*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(70\/15)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7148 = 162*n - 166*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.022671558 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2237 - 12310?\nAnswer: -10073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11771 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**12*k)*k**(-4\/5) assuming k is positive.\nAnswer: k**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 63*g - 669. Calculate the remainder when (268\/6)\/2*3 is divided by o(-49).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/48)\/(-5)*-15*(-40)\/2100\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 13860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/5, 0.03, 3\/4 in increasing order.\nAnswer: -17\/5, 0.03, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1475095*d**2 + 218*d**3 - 1475095*d**2 - 942*d**3.\nAnswer: -724*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119.7308 rounded to the nearest ten?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + 0.06. Let c = 0.3 - w. Put 0, c, -1\/11 in decreasing order.\nAnswer: c, 0, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:10 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 10*q**2 - 17*q - 7. Give s(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 3 (b) 8\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8) - 0)*(248\/14 - 18).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 10102?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 + (-188)\/(-20). Let d(f) = f**2 - 10*f + 11. Let a be d(c). Find the third derivative of 5*k**2 - k**2 - k**2 + 2*k**4 - k**a wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 24\/(-2)*25\/(-50)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 7*m**2 - 6*m + 7. Let k be i(6). Let r = k + -8. Which is greater: r or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/5 - (-5 + 0). Suppose -2*f = n - 4, -u*n + 0*n - 5*f = -11. Solve -n*t + 8 = -6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190280697.\nAnswer: 3, 31, 2046029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4821 - -790.8179. What is p rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218467364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*-1*5) + sqrt(117) + 3*sqrt(117)*-1)\/(-5*sqrt(1296)*3 + sqrt(1296)).\nAnswer: -sqrt(13)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 346813357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = -3*i. What is the second derivative of -42*t**3 + 42*t**3 - t**i + 6*t wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three halves of a litre in millilitres?\nAnswer: 36500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 131959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 1 - 8*d)*(-4*d**3 + 4*d**3 - 2*d**3) to z*d**4 + x*d**3 + y + f*d**2 + a*d and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.498941mm in nanometers?\nAnswer: 2498941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)*q)**(2\/19)\/((q\/(q*q**10))\/(q\/q**(-8\/3)*q)) assuming q is positive.\nAnswer: q**(838\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Suppose -q = -x + 2*x. Let w = 315 + -316. Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214*0.03.\nAnswer: -6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*t - 80, -2*d + t + 80 = 2*t. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - s**2 + s + 2. Suppose 10 = 5*z - 0*z. List the prime factors of d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f**2\/5 + 2997486*f - 1577624\/5 = 0.\nAnswer: 2\/19, 788812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*-36)\/(-6)*2\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6 - -3) + 3)\/1. Let s = r + 1. Find the first derivative of 0 - 2 + 7 + 2*l**2 + s wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-4)*15\/(-100).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + 0 + 0)*(-x - 3*x + 2*x) + 0*x**2 + 3*x**2 - 9*x**2)*(-2*x**2 - 2*x + 0 + 0).\nAnswer: 4*x**4 + 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 16 - 2 = 5*d, -6*k + 5*d - 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3, -k + 917 = 3*k + y. Let a = 251 - k. What is the smallest common multiple of a and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-105)*2\/30*(-37128)\/9724.\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -69. Let w be ((-8)\/d)\/((2\/(-10))\/1). Let j(i) = i**2 + 6*i + 4. Determine j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 6:29 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24134 is divided by 23994.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 120\/2498207 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -7) + -5 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000065010761 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*f - 11 + 67 = 0, 2*q = 4*f + 40. Let g(y) = 6*y**2 - 76*y + 16. Let a be g(14). Calculate the greatest common factor of a and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a + 81. Suppose 5*q - 3*b - 37 = 0, -4*q + 7*b = 2*b - a. Suppose -g + 118 = 87. What is the remainder when g is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.42 + 315288561477.\nAnswer: 315288561477.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18783 + 18861. Solve u = -4*t + 17*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33 + 2*a**4 + 61*a - 78 - 44 wrt a.\nAnswer: 8*a**3 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -11 + (38 - 46) + -16.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 683146 and 3818.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*n = 9045 - 8978 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12310 - 24299 = -316*w - 13569 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3543045*q - 8*q**3 + 4*q**3 - 3543045*q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185342 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*d - 7*d + 457260. Suppose -30*o + 28*o = -d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let o(a) = 6*a - 1. Let z(r) = -o(r) + 5*w(r). Suppose -3*k + 89 = 32. Let s = 25 - k. Give z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 16*v**2 - 41*v - 24. Let t(o) = -3*o**2 + 8*o + 5. Let m(h) = 2*k(h) + 11*t(h). Let s be m(-2). What are the prime factors of -1*3 - (s - 29)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -831*w - 569*w + 494*w - 29284 - 54068 for w.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 u when three letters picked without replacement from {t: 4, a: 2, r: 2, u: 3, m: 2, k: 2}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38184993 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6356 divided by -676?\nAnswer: 1589\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-1617)*-35)\/(-3)\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 - 8*r**3 + 2 - 32*r + 10*r**3 + 30*r to the form c*r**3 + o*r + j + v*r**4 + q*r**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**2 - 83 + 9*a**2 - a**3 + 81 - 49*a in the form m + r*a**2 + k*a**3 + n*a and give n.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -0.25904302.\nAnswer: -7.74095698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.63 + -117964?\nAnswer: -118089.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40)*-1*-3)\/(sqrt(98)*1)*2)\/(sqrt(12)\/(sqrt(3) - sqrt(6)\/sqrt(2)*-5) - ((1*sqrt(64) - sqrt(64)) + sqrt(4))*1))**2.\nAnswer: 1296\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 - -94.3. Which is the smallest value? (a) 0.1 (b) l (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 489*k**2 - 4877*k + 442*k**2 + 760*k**2 + 4877*k to g*k**2 + a*k + q and give g.\nAnswer: 1691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.32 + -14.32. Let f = 14.09 + b. Round f to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 115. Suppose 0 = 3*q + 2*w + 4, 5*q - 4*w - v = 7. Let l = 37\/2 + -17. Which is greater: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6360)\/1908*(-162)\/10 + -19.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 572? (a) 0.5 (b) -4 (c) 4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3443 + 1?\nAnswer: -3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -46, -63, -70, -67, -54, -31?\n\"Answer: 5*z**2 - 42*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2*(250\/(-30))\/5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41097557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 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: Rearrange -17*l + 3*l**3 + 2*l**2 + 3*l**3 - l**3 + 18*l to the form b*l**3 + o*l**2 + m*l + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let z(i) = -150*i. Calculate z(n(k)).\nAnswer: -150*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 - 4*v**2 - 19*v + 16. Determine i(-7).\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*b**3 + 352*b**2 + 50*b**2 - 103*b**2 + 5*b**4 + 207*b**2 wrt b?\nAnswer: 120*b - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, f: 4, y: 1}. Give prob of picking 1 f and 2 b.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -500\/13*c - 275\/13*c**2 - 70\/13*c**3 - 17\/26*c**4 + 19 - 2\/65*c**5. Determine u so that y(u) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(18)\/sqrt(2)))\/sqrt(2).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247998501*k**2 - 972652236*k wrt k?\nAnswer: 495997002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 1. Suppose -8*s = -12*s + 28. Suppose -s*m = t - 2*m - 24, 4*m - 22 = 2*t. Calculate w(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 4*i + 6*i + 2*i - i - 2*i - 2*i - i + 2*i + (-2 + 0 + 4)*(4*i - 5*i - i) - 62*i - 25*i - 41*i.\nAnswer: -133*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3264 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o - 4. Let r(v) = -v - 1. Let f be (-216)\/56 + (-2)\/14. Let h(p) = f*r(p) + d(p). Let a(x) = 2*x**2 - 2*x. Give -a(m) + 2*h(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(68) - (sqrt(68) + sqrt(68) + 1*sqrt(68)*1))**2 + -1*2*sqrt(68) + ((sqrt(68) + -2)*-5)**2*4.\nAnswer: -804*sqrt(17) + 7477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123873663 + 123873663 - 3*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**3 + 29*d**3 + 2*d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 45241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c6 - -a427?\nAnswer: a341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 33 = 4*n. Suppose -1 = 5*u + 5*p - 16, -4*u + 2*p + 36 = 0. Let f = u + n. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -545, -792, -1059, -1346, -1653?\n\"Answer: -10*g**2 - 217*g - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 9047.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5475 (base 14) in base 7?\nAnswer: -60405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 120162?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*g - g + 5*g)*((5 - 3 + 1)*(45 + 73 - 32) + 0 - 1 + 2).\nAnswer: -259*g + 518","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -541 + 655 - (-2 + 54).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -9*l**6\/10 + 1443*l**5\/20 - 6291*l**4\/4 - 3645*l**3\/2 - 13544*l. Solve m(u) = 0.\nAnswer: -5\/9, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 4, -1004 in ascending order.\nAnswer: -1004, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*g + 122*g + 115*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2012122220?\nAnswer: 2012122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -444436 or -444435?\nAnswer: -444435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-93)\/15 + 1\/5. Which is the closest to d? (a) 0 (b) 4\/3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 21*o + 635, 57 = -2*u + 2*u - 9*u + 3*o - 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -2706c?\nAnswer: -27071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v = -20*v - 82961. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 18*j**2 + 9*j - 209. Let x(v) = v**2. What is z(x(k))?\nAnswer: 18*k**4 + 9*k**2 - 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723861 a multiple of 1527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 0*s + 0*s + s**3 + (29*s**2 - 3*s**2 - 11*s**2)*(s**2 + 3*s**2 - 5*s**2).\nAnswer: -14*s**4 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 - 184*s\/5 - 186\/5.\nAnswer: 2*(s - 93)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*i - 5. Suppose 3*m - 19 - i = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - 5*((sqrt(209) + sqrt(209)*-2 - sqrt(209)) + sqrt(209) + sqrt(209) + sqrt(209))))\/sqrt(11).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 2, 0, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**7\/84 - 31*l**6\/240 + 37*l**5\/60 + l**4\/3 - l**2 + 636. Let m(y) = 0. What is y?\nAnswer: -8, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27379497377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 + 3*c - 5. Let m(y) = 12*y**2 - 5*y + 9. Give 3*m(p) + 5*w(p).\nAnswer: 6*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8473*n + 180 = 8482*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8 + 2 - 13*h + 2. What is the units digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2760*f - 145226 = -23786 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/5 - 6) + -2 + 9. Let s(v) = 36*v - 2. Let h be s(2). Suppose t*f - 45 = -2*f + z, -3*f - z + h = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18588800.\nAnswer: 2, 5, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14708\/9 + 1634. Put q, 3\/5, 1\/5, 0, 4\/7 in descending order.\nAnswer: 3\/5, 4\/7, 1\/5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -123?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b6a7 (base 14) in base 15?\nAnswer: -5296d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 10:27 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0295 minus -0.1?\nAnswer: 0.1295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.477575 millennia to years.\nAnswer: 477.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17447807 - 11916607. What is s rounded to the nearest 10000?\nAnswer: 5530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2113*g**4 - 575*g wrt g?\nAnswer: -25356*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/43008 and -29\/99456.\nAnswer: 1591296","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209 and 38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 1\/525*m**7 + 0*m**6 + 0*m - 2\/225*m**5 + 0 - 1\/2520*m**8 + 30*m**2 + 0*m**4 + 0*m**3. Factor k(q).\nAnswer: -2*q**2*(q - 2)**2*(q + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 54*p**2 + 136*p + 77. List the prime factors of r(51).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 20 - 70. Let g = v - -52. Suppose -5*k + 10*k - 340 = 0. Calculate the least common multiple of g and k.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 843\/5324 - -1\/1331. What is the common denominator of w and 65\/6?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.665 from -0.2.\nAnswer: -0.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/21 and -187\/150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1*(1 + 0). Let v be 0\/(-1) + 2\/(-2)*3. Sort v, 8, s in decreasing order.\nAnswer: 8, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857591641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -423, -588, -727, -834, -903, -928, -903?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3545*l + 0*l**2 - 5*l**2 + 1769*l + 1776*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p = 4*y + 22, 3*y = -2*p - 6. What are the prime factors of y\/(-8) + (-62)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + -32. Let i = 62 + v. Let o be i\/(-4) + (-20)\/40 - -574. Round o to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 2*v - 6, -156*u - 2*v = -155*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 5 + 6 - 5. Let v be h(-2). Let i = 42 - 40. Solve 3*f - 4*w + 27 = v, -5*f - 26 - i = -w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 78*f**2 + 9*f**2 - 3*f**3 + 32*f**2 - f**3 + 94*f**2.\nAnswer: -4*f**3 + 213*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -291 + 0\/(-27). Let g = 285 + b. Let v(m) = m**3 + 5*m**2 - 7*m - 1. What is v(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/3 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*n*p - 2*a**2*p*q - 4*a**2*p + 3*a*n*p*q - 3*a*n*p - n - 2*p*q wrt q.\nAnswer: -2*a**2*p + 3*a*n*p - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102718777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/12081 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*m - m + 4*m - 44 = 0, -11*d + 20*m = 24*m + 163 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13585*j**6 - 284*j**2 + 14*j wrt j.\nAnswer: 1630200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 483759294 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d + 0 + 50\/3*d**2 - 35\/3*d**3.\nAnswer: -5*d*(d - 1)*(7*d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:54 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3664 or -30\/11?\nAnswer: -3664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-30)*(-16)\/12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - h + 0*h + 1 = 0, -3*h - 27 = 4*n. Let k = n - -10. What is the greatest common factor of k and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 152, -5, 2\/13, 5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2775*a*w**3 + 5*a*w + w**6 - 2*w**4 - 966*w**2 wrt w?\nAnswer: -16650*a + 120*w**3 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 26364 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d (base 16) in base 2?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(8*i - 4*i + 3*i)*(-6*i**2 + 21*i**2 + 4*i**2) + (-1 + 0 + 2)*(-5 + 5 + i**3) - 14*i - 4*i**3 + 14*i.\nAnswer: -269*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-1 - -7 - (-2 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 8. Let n be v(5). Suppose 4*r = n*t - 2*t + 7, 5*r = t + 11. Let k(y) = 15*y + 9. Let q(p) = -8*p - 5. Calculate t*q(h) + 5*k(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575390306 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*f**2 - 21*f**2 - f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5\/3, 3\/7, 145\/14, -6, -5.\nAnswer: -6, -5, -3, -5\/3, 3\/7, 145\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16092 (base 11) in base 14?\nAnswer: 83d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 1 (c) 8 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11615 and 34845.\nAnswer: 34845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 58, 197, 464, 901, 1550?\nAnswer: 2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.9 - -11.2. Let r = q - 0.3. Let d = 2126 + -2129. Which is the nearest to d? (a) -3 (b) -4\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-258096)\/(-21) - (-40)\/(-140)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*x - 4*h, -13 = -x - 3*h - 3. Let p = -19 - -59\/3. Which is the closest to x? (a) -0.5 (b) p (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 8*n - 8 = 0. Suppose 5*d - 2*l + 1 = -0, 2*l = -n. Let v be 4\/12*0*d. Solve v = 2*o - 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**6\/40 - 151*r**5\/20 + 703*r**4 + 2888*r**3 + 31*r**2 + 6. Find w, given that h(w) = 0.\nAnswer: -1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 43. Solve -a*j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.1, -2, -0.5, 5, 9554?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/24*-2*2. Let s(o) = 3*o**2 + 0*o**t - 2*o**2 + 5*o**2. Let a(i) = 2*i. Determine s(a(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffcfffcff. What is prob of sequence ff?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89570557 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 8:16 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + f + (-4*f - 4*f + 5*f)*(1 + 5 + 0))*(-f**4 - 2*f**4 - f**4).\nAnswer: 68*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -1, -2 in increasing order.\nAnswer: -34, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14539 is divided by 1264?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -0.2, -6, -915\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3478?\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = 6*i + 4*i + 120*r - 481, -5*r = 3*i + 2*i - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2621 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0665, -2\/59, 32?\nAnswer: -0.0665","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:36 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 12. Let t be m(14). Let b(d) be the third derivative of 11*d**6\/120 - d**5\/30 + d**4\/24 - 8*d**2. List the prime factors of b(t).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.7493484 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26.57 and -3.\nAnswer: -79.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2324*n + 9558 = -4394*n + 2188*n for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -18053165*k**2. Let r(l) = 2*l. Determine r(m(u)).\nAnswer: -36106330*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1133, 4, 78 in descending order.\nAnswer: 1133, 78, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 + 221\/2. Let h = 2\/17223 - 252614\/86115. Let o = h - -18\/5. What is the closest to -0.1 in k, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/7))**(-5\/11)*(u*u**5)\/u**2 assuming u is positive.\nAnswer: u**(303\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198970, 198954, 198932, 198904, 198870?\nAnswer: 198830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times 3?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 5. Let z(k) = k + 1. Calculate -f(l) + 6*z(l).\nAnswer: 5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 737*s. Let n(i) be the third derivative of -2*i**5\/15 + 3*i**2 + 2*i - 61. What is n(g(v))?\nAnswer: -4345352*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31047, -31054, -31083, -31146, -31255?\nAnswer: -31422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 701 divide 276391682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 59. Let j be 1562\/33 - 2\/6. Let o = q + j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22323967 rounded to four dps?\nAnswer: 0.2232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1118 and -355456.44.\nAnswer: -354338.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*h - 5*k + 680, 2*h + 2*k + 638 = 0. Let r = 844 - h. List the prime factors of r.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1273*n = -1269*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 67. Let v = c - 14. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a hour in minutes?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -14, -20, -38, -74, -134, -224, -350?\n\"Answer: -w**3 + 3*w**2 - 2*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n**6*n)\/(n\/(n*n**(-2\/3)))**11*((n*(((n\/(n*n**(-2)))\/n)\/n)\/n)**(11\/5))**(-14) assuming n is positive.\nAnswer: n**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4 + 1 - 11*x - x**2 - 5. Let a be g(-10). Suppose 0 = 4*l - a - 10. Solve 24 = o + 4*t, -l*o + 3*t = -0*t - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201123 times -5?\nAnswer: -1005615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.0164485 rounded to one dp?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*m - 126 - 12, 3*m - 3*l - 114 = 0. Let u(t) = -m*t**2 - 5*t**3 + 2*t + 6*t**3 + 70*t**2 - 34*t**2 + 7. Calculate u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 2*s. Let a = 1 + s. Let u(b) = -b**3 + 36*b**2 - 32*b - 102. What is the remainder when u(35) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.044483 - -166233.\nAnswer: 166232.955517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mamaaawaaa. Give prob of sequence mam.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b. Let j(y) = 10*y**2 + 23*y + 6. Let f(g) = -28*g**2 - 70*g - 17. Let r(w) = -6*f(w) - 17*j(w). Determine r(a(k)).\nAnswer: -128*k**2 + 232*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0 + t**2 + 0. Let i(c) = c + 7. Let w(u) = -u - 6. Let r(o) = -6*i(o) - 7*w(o). Determine r(x(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2119\/1656?\nAnswer: 2119\/1656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = 4*w, 4*w - 4 = -2*b + w. Let r(t) = 5*t + 15*t**2 + 16*t**3 - 3*t + 5*t - 14*t**3 + 8. Calculate the remainder when r(-7) is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4 + 5*i**3\/3 - 7*i**2\/2 - 28*i. Let x be d(-5). What is the lowest common multiple of (2\/(-6))\/(x\/(-72) + -5) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 475996858 or 475996861?\nAnswer: 475996861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1047.2 times -0.2\nAnswer: 209.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 989679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1488106 + 1488129. Factor z*h + 0 + 1\/2*h**3 + 25\/2*h**2.\nAnswer: h*(h + 2)*(h + 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157416342*p**3*w**2 + 47040968*p**3*w wrt w?\nAnswer: -314832684*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66787663*c**2 - 785793*c - 157 wrt c?\nAnswer: 133575326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -6 - 3) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**2\/2 - 11*z - 3. Let o be m(11). Suppose o = -3*b + 50 + 55. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9697 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -250.0062, -3 in decreasing order.\nAnswer: 1, -3, -250.0062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3036 + -4?\nAnswer: -3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g - 379. What is the units digit of k(55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 6307*t - 6304*t - 30 = 0, 4*z + 16 = t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**20\/w*w*w*(((w*w**(-4)*w)\/w)\/w)\/w*w)\/((w\/w**(-3\/4)*w)\/((w*w**(-6)\/w)\/w)) assuming w is positive.\nAnswer: w**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0 - 1\/6*l**3 + 3*l + 0*l**2. Let b(m) be the second derivative of -m**3\/3 + 9*m. What is k(b(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/4 + (6 - 1) + -9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41712)\/(-88))\/79*(-25)\/(-3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**3 + 44*q**2 + 80*q - 128 = 0. Calculate q.\nAnswer: -8, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3629, -3609, -3575, -3527, -3465, -3389?\nAnswer: -3299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1*(-35)\/40\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010344221 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 877131 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 861 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106639922*s**2 - 57284*s + 313 wrt s?\nAnswer: -213279844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 - -6 - (-19 + 27))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*o - 13782 = -2*i - 58*o, 4*i = 2*o + 27564. What are the prime factors of i?\nAnswer: 3, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 25 = 4*y, -5*y - 2*h + 7*h + 5 = 0. Suppose -3 = z, -47*t = -52*t - 5*z + 55. Solve 5*s - y*n - 5 = 23, t = s - 5*n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 409 - 404. Let d be (x - 880\/175)*2. Are d and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303730664?\nAnswer: 2, 37966333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.382498 tonnes in grams?\nAnswer: 9382498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 8*l**2 - 80*l - 652. Calculate s(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(34)*-4 - sqrt(34)) + (sqrt(2176) - 3*sqrt(2176)) + sqrt(2176) + sqrt(2176))\/(sqrt(16)\/(sqrt(128)*1)*3).\nAnswer: -20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78377*r**2 - 3*r + 3*r.\nAnswer: -78377*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10178.313 rounded to the nearest integer?\nAnswer: -10178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*t = 23, -3*t - 5 = -2*t. Suppose 18 = -5*y + i. What are the prime factors of 0 - (-11 + y) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -48, -113, -204, -321, -464, -633?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00549736926 to 6 dps.\nAnswer: 0.005497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 1 + 6*sqrt(9)\/sqrt(3) + sqrt(3) + -2)**2.\nAnswer: -18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 9*y = -12*y + 375, y - 730 = 2*b. Let s = -148 - b. What are the prime factors of s?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173363128 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/(-78))\/((-16)\/166983456) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*q - 48 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 44 (c) -1 (d) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(29\/2)\/(v\/(v**27*v*v)) assuming v is positive.\nAnswer: v**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*(18\/4 - -4). Let l = m + 119. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/7)*s**3*s*s*s**(-5)*s**4)**(-8\/13))**(1\/7) assuming s is positive.\nAnswer: s**(-200\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 482345 - 160784 - 160781 - 160780.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -30086*s - 90253. Give v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 greater than or equal to -3058\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j\/j**(-4\/5))\/j)\/j*j*j*j\/j**(2\/13))**(-46) assuming j is positive.\nAnswer: j**(-10902\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 11*q**2 + 10*q. Let x be o(-10). Suppose x*s - s - 7502 = 5*y, 0 = 3*y + 3*s + 4494. Let c = y + 2270. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 12*k**2 + 9. Let r(w) = w**3 - w**2 - 2. Let n(f) = 2*r(f) + y(f). Is 27 a factor of n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601742 is divided by 30087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 61*b + 2779. Calculate f(-68).\nAnswer: -1369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + (-14 - -66) + (1 - -2) + 89?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -80*d**3 + 9*d**2 + 5*d - 89. Let u be l(-6). Do 17484 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 227*t = 334*t + 53*t - 12540 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -49\/596, -0.24, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b4 (base 12) to base 14.\nAnswer: -972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 2*f - 2*f + (11*f**2 - 14*f**2 - 19*f**2)*(-35 - 19*f + 35) to the form s*f**2 + o*f**3 + x + b*f and give o.\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -16 + 6 + -1 - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.58 - 1.42. Which is the nearest to 5? (a) -3 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**4*p - 169*h**2*p**3 + 16*h*p**3 + 212*h*p wrt h?\nAnswer: -120*h**2*p - 338*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 5, 6, -680, 14 in increasing order.\nAnswer: -680, -4, 5, 6, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 7*x = 72. Let w(g) = g + 3. Let h be w(6). Calculate the highest common divisor of x and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6. Let s(v) = x - 3*v - 3 + 2 + 0. What is the remainder when s(-1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 0*d - 2*d + 3*d**2 - 5*d**2 - 3. Suppose -1291 = 1234*h + 1177. What is x(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 16) to base 12.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(117)*2)\/sqrt(9) + sqrt(143)\/(sqrt(11) - sqrt(11)*4))**2.\nAnswer: 10*sqrt(13) + 406\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 9*s**3 + 10*s**3 + s**2 - 3*s + s**4 + 0*s**2 - 3*s**2 to the form f*s**2 + v*s**3 + q*s + k*s**4 + y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 44*v - 205. Let q be s(26). Solve 5*p + 12 = -2*b, 25*b + q*p - 8 = 20*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20177*p + 3466*p + 16035*p.\nAnswer: 39678*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16312 - -16314. Sort 695, z, -5, -4 in descending order.\nAnswer: 695, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j = -22*j + 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 11*x + 63. Let z be y(15). What is the second derivative of -9*m + 9*m**5 + 12 - 23 + z*m wrt m?\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110111111001111010 (base 2) to base 6.\nAnswer: -43214350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((78\/(-975))\/(1\/5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.3359646 to three dps.\nAnswer: 6.336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59095348?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 119*c + 268*c - 1280 - 1042 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/7)*x*x)\/x)\/(x\/(x\/((x\/(x*x\/x**(1\/2)*x))\/x)*x)))\/(x**(-1)*x*x**7) assuming x is positive.\nAnswer: x**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -1 + 59 + -9 + -36?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23035734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, -10072, -5, -0.6 in decreasing order.\nAnswer: 0.1, -0.3, -0.6, -5, -10072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31844620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 - 9 + 9 + (0*b - 7*b + 4*b)*(0*b + 4*b - 2*b) to t*b**2 + a + n*b and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvq when three letters picked without replacement from {v: 2, h: 1, q: 4, j: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2707 + 647. List the prime factors of q.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3468 divided by 204?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2958 and 10?\nAnswer: 14790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1063424 and 127\/24.\nAnswer: 3190272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 at least 349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 23 - 97. Let d = -35 - y. What are the prime factors of ((-3196)\/119)\/(d\/(-7))?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2079 * 0.5.\nAnswer: 1039.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140 + 137 - 256)*(4*k**2 - 3*k**2 + k**2).\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/14)\/(378\/(-882)). Solve 50 = 15*p - j*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*f**3 + 41*f**3 - 15*f**3)*(0 + 2 - 1) - 4*f**3 + 4*f**3 + f**3 to x*f**2 + b*f + l*f**3 + a and give l.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8317 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17075657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2645 (b) -0.07 (c) 1 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 49.35. Let b = c + 0.84. Is 0 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 15*b**2 + 536*b + 8315. Give j(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 100) + -10*1\/2. Put r, 2, 3 in increasing order.\nAnswer: r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 3 (c) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1439*b*w**2*x**2 + b*w**2*x - 42*b*w*x**2 + 3*b*w*x - 2*w*x**2 - x**2 - 2 wrt w.\nAnswer: -2878*b*x**2 + 2*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2 + -3)*(-18)\/45 - -1. Solve -5*g + q*a = -20, 4*g + a + 2 = -a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -617923661*n**3 - 250419984*n.\nAnswer: -3707541966*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 314.11 + -318. Let u = 0.11 - q. Let j = -3754 - -3749. Which is the closest to u? (a) j (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2220211 (base 5) to base 12\nAnswer: 1a55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 + -110. Suppose 3*z = 2*m - 0*z - 204, 3*m - 304 = 5*z. Calculate the remainder when m is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36*0.8103.\nAnswer: 0.291708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1424045.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.40422*0.756.\nAnswer: -0.30559032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 132, 27, -120?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 10*o**2 + 16*o - 5. Let y(z) = -z**2. Let f(s) = n(s) - 4*y(s). Let c be f(15). Suppose -7*t - 333 = -c*t. What are the prime factors of t?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/15*5*(-36)\/16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 0*h**2 + 5*h**2. Let j(l) = -l - 2. Let g(o) = 1. Let y(x) = 2*g(x) + j(x). Calculate u(y(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -35 + 44. Let n(w) = -v - 25*w + 35*w + 9. Let l(y) = -5*y. Let d(r) = -9*r. Let z(g) = 3*d(g) - 5*l(g). Give z(n(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**7\/1260 + b**6\/240 - b**5\/24 + b**4\/4 - b. Let s(u) be the third derivative of l(u). What is the units digit of s(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/2 + 9\/18. Suppose 0 = 4*v - 13 - d. Solve 0 = -v*j + 26 - 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 minus 443933.68?\nAnswer: -443937.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 20*b**2. Let p(l) = -5*l. Calculate p(n(r)).\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 2*i + 1. Let b(p) = -16*p + 1032. What is the remainder when b(57) is divided by y(4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z + 24. Let h = 4 + z. Let j = 7 - h. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171771\/12 + 507\/(-156) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/16*0 - -12)\/2. Let k(z) = -z + 10. Let c be k(r). Solve 2*p - c*p = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1515, -2269, -3023?\n\"Answer: -754*g - 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -5 (c) -15\/3992 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133829 + -206335. Let i = x + 72506.1999984. Let u = i + -0.2. Round u to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/126 and -17\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(-14*m + 16 - 16) - m + 4*m - 2*m + 1 - 1 + m + (3 + 0 - 1)*(-3*m + 2*m + 3*m) + 2 - 2*m - 2.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 4:06 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 4940849.\nAnswer: 2\/4940849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196.43506 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minus 200249?\nAnswer: -200216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t + 6 = 22*t. Let l be t\/1*((-16)\/12 + 2). Solve 3*q = 6, 5 = 3*f - l*q + 3*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -9. Let s = g + 0. Sort s, -3\/2, -0.6 in increasing order.\nAnswer: -3\/2, -0.6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0*r + 0*r**5 + 0 + 1\/60*r**6 + 3*r**2 + 1\/8*r**4 + 0*r**3. Find the second derivative of x(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**3 - 10*t**2 + 10*t + 5. Let g(f) = -5*f**3 + 10*f**2 - 11*f - 6. Let n = -4 - 1. Let r(h) = n*g(h) - 6*a(h). Factor r(j).\nAnswer: -5*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1547\/44 + -129\/4. Calculate the common denominator of 41\/11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 1. Let w = 91 + -89. Let m = 1 - -1. Let x = m - w. What is h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2\/26 - (2 - (-4442162)\/(-377))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -63.7\nAnswer: 12.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 70 + 154 = 0. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/52 - (-6)\/8. Let s(k) be the second derivative of 0*k**3 - 1\/12*k**4 - 2*k - m*k**2 + 0. What is the first derivative of s(p) wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -914, -915, -916?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 984.\nAnswer: -4920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(-1*sqrt(495) + sqrt(495))*-5)\/(sqrt(1125) - sqrt(1125)*-1*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 25722, 15, -0.4.\nAnswer: -4, -0.4, 15, 25722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**4\/12 + 19*r**2. Let l(t) = -2281*t**2. Calculate l(m(g)).\nAnswer: -9124*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9153?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 75 = 4*o + 6*o, -276*o + 11*z = -280*o - 75 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r + 2911 = 7984. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*a + a - 4*a)*(-a + 2*a + a) + 1 - 4*a**2 - 1)*(0*a - a**3 + 0*a).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 164*y - 304 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36590 and 164655.\nAnswer: 329310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(468) - (sqrt(468) - (sqrt(468) + 1))*4)*-3 - (-3 + 2*sqrt(468) + 5)) + -1)*1)**2.\nAnswer: 3600*sqrt(13) + 47700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.82 - 27.82. Which is the third biggest value? (a) -2\/13 (b) 135 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**5 - 18219*i**4\/4 + 25125*i**3\/2 + 86565*i**2\/4 - 50202*i - 13689 = 0.\nAnswer: -1521, -2, -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4466*t - 21381*t - 29489*t - 75135*t - 97497*t.\nAnswer: -227968*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -1. Suppose 3*v - 13 = -4*d + 7, d = -5*v + 22. Sort v, 0, p, -3 in increasing order.\nAnswer: p, -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 12. Let r be c(-5). Let v(f) = f**2 - 6*f - 4. Let w be v(r). Suppose -13 = -5*k - w. Calculate the remainder when 4 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.046 - 2.046. Let l be 27\/(-6) + 1\/(-2). What is the second biggest value in -0.4, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 10:51 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 230. Suppose -3*y + x = -51. What is the highest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 10*h = -1240. Let x = 139 + h. Calculate the remainder when 26 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000033057733 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131803089 is divided by 39309.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, -2\/11, -1\/11 in decreasing order.\nAnswer: 7\/5, -1\/11, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f - 4*m + 22 = -43*f, -8 = -2*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 13. Is w + 409\/3*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6271023224 less than -2?\nAnswer: 6271023222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzyihyz. What is prob of picking 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 64. Let f be ((-2)\/2)\/(3\/(-6)). Suppose -4*c = f*o - p, 5*c + 2*o = -0*o + 46. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h**4 - 3924*h**3 + 319*h**2 - 5*h - 38?\nAnswer: -192*h - 23544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 12:01 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1471*l**2 - 4*l - 12. Let f(h) = h + 3. What is -4*f(j) - g(j)?\nAnswer: -1471*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 710.1618 rounded to 1 decimal place?\nAnswer: 710.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3234, -3290, -3382, -3510, -3674, -3874, -4110?\n\"Answer: -18*z**2 - 2*z - 3214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 93*r - 94*r = 1014, -3*r = n - 1018. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2075396 is divided by 8107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10739974 rounded to the nearest one hundred thousand?\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249511*n = -249596*n - 2210 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 356408846.\nAnswer: -356408846.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -2739, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -285224 - -0.4?\nAnswer: -285223.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9955982 centuries in millennia?\nAnswer: 0.09955982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 23. What is the remainder when 1 - (5 - (23 - -6)) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbzbbrr. Give prob of picking 1 r and 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -45. Sort -0.2, 2\/13, -1, v in descending order.\nAnswer: v, 2\/13, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 - 788*k**3 + 21954*k**2 - 41540*k + 20375 = 0. Calculate k.\nAnswer: -815, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*v + 68*v = -910 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (10912\/110 + -99)*(263 + 2)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h - 3*x = 23, 13 = 4*h + 3*x. Suppose 0 = -2*o + 4*o - h, 5*o - 250 = -4*u. Calculate the highest common divisor of u and 1140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 5\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(243) + -4 - 5*(sqrt(243) + -1))**2.\nAnswer: -72*sqrt(3) + 3889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 142424*k + 5071148944.\nAnswer: (k - 71212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 3\/7, 0.014, 2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3015377 and -7\/22688?\nAnswer: 96492064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 5.18?\nAnswer: -25.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(847) + -1)**2 + -5 + -1.\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -43, -3 in descending order.\nAnswer: -3, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-19)\/(-19))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-16)*13694\/(-143787).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 + 25*o**4 - 216*o**3 + 704*o**2 - 512*o.\nAnswer: -o*(o - 8)**3*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/(-4))\/(4\/64*8). Let w(r) = -10*r - 78. Is w(c) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (8910\/23760)\/((-6)\/(-400))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/9)\/(u\/(u*(u\/(u*u**(-6)*u))\/u)))\/(u\/(u**(-1)\/u*u))**(-1\/3))\/((u**(-2))**27\/((u**(-8)\/u)\/u**(-6))) assuming u is positive.\nAnswer: u**(503\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13489197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111110 + -210?\nAnswer: 110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.047 and 668549.\nAnswer: 31421.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -11\/345545?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 1. What is the greatest common factor of t and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2462209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 + 32. Which is greater: z or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:15 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2054\/2288 - (-9)\/(-33).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551829689?\nAnswer: 941, 586429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10822, 10842, 10862, 10876, 10878?\nAnswer: 10862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 250259834 to the nearest 1000000.\nAnswer: 250000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -236, -227, -216, -203, -188?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643299.29 rounded to the nearest one hundred?\nAnswer: -1643300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11481 and 2709.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108.23 + -6.97. Let i = 115 + g. Let x be (8\/70)\/(2\/5). Are x and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55134513?\nAnswer: 3, 7, 32413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 374 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 2:53 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(133)\/(sqrt(7) + (sqrt(7) - sqrt(7)*-1)) + sqrt(57)\/sqrt(3)*-1 + (sqrt(19) - (3 + sqrt(475)))**2 + -2 + sqrt(19) + -2).\nAnswer: 73*sqrt(19) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/10687 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (3 - 49)) + 4 + -12 - 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 429 + -359 - (-6 - (-7 + -6 + 7)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 5*d**2 - 2*d**2)*(d**2 - 4*d + 4*d) - 45*d + 45*d - 36*d**4 + d**4 - 2*d**4 - d**4.\nAnswer: -46*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 28 + 44. Let v = q + -11. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -344, -383, -422?\n\"Answer: -39*p - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaahahaaaaa?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 3715344?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/11 - 168918*k**3\/11 + 9510927984*k**2\/11 - 16226507678382*k - 535560356299329\/11.\nAnswer: (k - 56307)**3*(k + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/70 - 6\/10)*1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 0.037?\nAnswer: 0.0259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 10*i + 12. Let f be n(-9). Let m = -1 - -1. Suppose -5*q - 5*g + 120 = m, -100 = -5*q - 4*g + f*g. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.1 + 13. What is the closest to -1\/2 in 5, a, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/21))\/b*b\/(b**6\/b)*b*(b**(-1\/2)\/b*b)**(-10\/13) assuming b is positive.\nAnswer: b**(-701\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 287486781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + m + 15 = 0, -3 = u - 0*m + m. Solve a - b + u = 5*a, -3*b = -a + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 24 = 5*q + 4*h, 29 = -4*q + 15*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-7 - -4) + (0 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44537 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n - 5. Let q be c(-1). Let w(x) be the first derivative of q + 0*x - 1\/3*x**3 - 1\/2*x**2. Find the second derivative of w(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 19*b**2 + 22*b + 44. Let r be s(-20). Solve 0*i = r*w - 3*i - 9, 15 = 3*w - 5*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orgmrbmrr. What is prob of picking 1 b and 1 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9546\/2 + (1 + -3 - -7). Suppose 2*q = 2*a - 4760, 0*q + p = 2*a + 4*q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 5 = 4*q, 5*r = 5. Suppose 115 = j + 4*a, q*a + 115 = j - 3*a. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4274?\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x**3 - 180*x + 427*x - 247*x.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l - 16. Let u(z) = 505*z + 4097. Calculate the remainder when u(-8) is divided by f(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -87604558.94 and -23.\nAnswer: -87604581.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9866 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a - 10*a**3 - 8001*a**2 - 8044*a**2 + 16056*a**2 as b + f*a + t*a**3 + y*a**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r + 21*r - 9*r**2 - r**3 + 15*r - 10*r - 3*r.\nAnswer: -r**3 - 9*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxii when four letters picked without replacement from ixxxixxx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*s - 696 = 247*s. Find the first derivative of -44*i**2 - s - 29*i**2 + 31*i**2 - 165*i**2 wrt i.\nAnswer: -414*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 2673*u**2\/2 + 3543*u + 2030. What is the first derivative of c(m) wrt m?\nAnswer: 2673","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -46, -1, 405, -5\/4, -2?\nAnswer: 405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17456)\/6*(-300)\/200. Is z less than or equal to 4365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:39 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p - 36. Let d = 38 - 33. Let f be m(d). Let i(c) = c - 5. Give i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13219 and 4.\nAnswer: 0.52876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 543 + -359. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -493 divided by -19223?\nAnswer: 493\/19223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29993 + 46823. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 divided by -41?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/272405532 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s - 19*s - 242*s**2 + 2196*s**2 + 9*s to the form j + x*s + b*s**2 and give b.\nAnswer: 1954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -b5a3 (base 14) in base 10?\nAnswer: -31307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = 40*w - 337. Sort -76, 2, w, -5 in decreasing order.\nAnswer: w, 2, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = 0, -30 = -4*i + 4*r - 2*r. Let q be 2\/i + 7\/15. Let j = -0.1 - -0.3. What is the second biggest value in j, q, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j + 8. Let v(a) = a + 5. Let r be v(-5). Let p = -4 - -3. What is the biggest value in p, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 783*l - 786*l + 5*c + 4, -4 = -4*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3789589.733 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 11*w + 22. What is the smallest common multiple of g(11) and 172?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**6\/15 - 33*u**5\/20 + 13*u**4\/4 - 55*u. What is the third derivative of i(t) wrt t?\nAnswer: 48*t - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = 14*j - 214. What is the units digit of (j + 2)\/((-2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, u: 3, g: 4}. What is prob of picking 1 s and 2 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 522 = -2*u, 3*u - 680 = 1009*l - 1014*l. Calculate the greatest common divisor of l and 336.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (57 - 141 - 37)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p - 1. Let r(d) = -9*d - 145. What is 4*a(v) + r(v)?\nAnswer: 3*v - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - t)*(5 + 0 + 3) + 0*t + 10*t - 3*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -324 - -356. What is the greatest common divisor of y and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from ghgghgghggggghghghg?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4937, -4916, -4895, -4874, -4853, -4832?\n\"Answer: 21*x - 4958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 4, l: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6681 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3252 + -3250.493. Let q = -29.5 - -28. Let v = q + p. Round v to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 111.44 and 181?\nAnswer: 20170.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8527 - -8532. Let n(q) = 3*q**2 + 11*q + 3. Let j(b) be the second derivative of b**4\/6 + 7*b**3\/6 + b**2 + b. Calculate f*n(c) - 8*j(c).\nAnswer: -c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 5. Let n(x) = -2*x + 12. Let i be n(4). Sort i, p, -4, -8 in increasing order.\nAnswer: -8, p, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105492 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, w: 2}. Give prob of picking 1 t and 1 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150745 and 735?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -27*l**4\/4 + 63*l**2\/2 + 160*l + 34. Let f(k) be the first derivative of h(k). What is the first derivative of f(j) wrt j?\nAnswer: -162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, f: 11}. Give prob of sequence ff.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*w + 23, 0 = -4*t - 3*w + 4 + 2. Let o = t - 0. Suppose o*b = b + 22. Calculate the remainder when 30 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -2*h + 0 - 1\/3*h**3 - 2*h**2. Let u be w(-3). Solve -u*o + 6 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10451, 20866, 31295, 41744, 52219, 62726?\n\"Answer: r**3 + r**2 + 10405*r + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -8*n**3\/5 - 3702*n**2\/5 - 118914*n\/5 + 5992 = 0.\nAnswer: -428, -35, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**3 + 5*v**2 + 1572*v + 11072. Give y(-7).\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167432170.\nAnswer: 2, 5, 16743217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/47, -0.3, 1\/3, 1, 0?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5683748 milligrams in micrograms?\nAnswer: 568.3748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.144 + -0.1438482. Round d to 6 dps.\nAnswer: 0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*m + 1623*m = 524*m - 34185 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2\/5 - 73196*r\/5 - 146376\/5 = 0 for r.\nAnswer: -18297, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 789 - 384 - 405 + 3*c. Suppose q - 6*q + 10 = 0. Let k be l(q). Solve -w = -k*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (796\/(-22))\/(17\/(-187)) is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 40. Let a = 14.3 - i. Let o = a - 3.3008. What is o rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -1715*h**5 - 13965*h**4 - 18060*h**3 + 22720*h**2 - 7200*h + 720 = 0?\nAnswer: -6, -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 - -111001010000?\nAnswer: 111000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25274258?\nAnswer: 2, 113, 111833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwwwwwwwwwww. Give prob of sequence ww.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0057 * 0.4\nAnswer: 0.00228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.8 + -14.8. Let v = 7.5 + -8. What is the biggest value in j, 1, v, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 295 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65658 and 49773?\nAnswer: 3085926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.896 times 0.5?\nAnswer: -121.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*d**3 - 42*d**3 + 21*d**3)*(2*d + 0*d - 4*d) + (-103275 + 103275 - 34*d**3)*(d - 4*d + d) as l*d**3 + h + p*d + w*d**4 + v*d**2 and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -657 + 666. Let g(i) = -3*i + 2*i + 5*i + 26 + 0*i. What is the remainder when g(r) is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 160 = 40. Let z = 174 - 170. Solve -f + h = z*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 27. Let g(i) = -4*i**3 + 11*i**2 + 6*i - 15. Let z(y) = 3*y**3 - 12*y**2 - 5*y + 15. Let n(x) = 4*g(x) + 5*z(x). Is n(o) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 + 1392138*q**2 - 11870530675182*q\/7 - 35611679730294\/7.\nAnswer: -2*(q - 2436243)**2*(q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h**2 + 31*h + 71. Let i(y) = 6*y**2 - 21*y - 49. Let r(u) = -7*i(u) - 5*p(u). Calculate r(-9).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 * 189\nAnswer: 30618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 421863183 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 38701601.\nAnswer: -38701600.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 909180651 to the power of 1\/4, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 11941 = -4*k + 3*k, 59600 = 5*k + 5*u. Is 35 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*z + 14505, -2*g + 0*z = -5*z - 28995. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(3 - 2) - 2. Let t = 6 + l. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 8)\/(-12 + 12 + -11 + 56).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 equal to 11468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6673*v + 613085 = -2950*v - 1524*v for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1300) - (-1 + sqrt(1300))) + 3 + sqrt(78)\/(sqrt(294) - -2*sqrt(294))).\nAnswer: -8 - 2*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 980942400 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) - (sqrt(19)*2 + 5)).\nAnswer: -5 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89512?\nAnswer: 2, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-4*3\/8 - (5 - 9)). Solve p*v + 35 = 11*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 22 = -2*g + 6, 5*g - 62 = -w. What is the lowest common multiple of 33 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1. Let t = y - 2. Suppose 0*q - 3*q = 0. What is the nearest to q in t, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 - t**4\/3 + 2*t**3\/3 - 3*t**2\/2 - 5*t. Let r be p(-5). Calculate the greatest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.3 (c) -1.216 (d) -2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -263512*d + 272335.\nAnswer: -263512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-65)\/40 + 2 - 44703\/(-24)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003960508 rounded to 7 decimal places?\nAnswer: -0.0003961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b591 (base 16) to base 12.\nAnswer: -449869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8550764 by -28.\nAnswer: -2137691\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/((-1)\/(-6)). Let t be 71\/i*(-10 - -8). Let h = -49 - t. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*2 + sqrt(1100) + 1 + sqrt(11) + 1 - (sqrt(891)*-2 + -1 - sqrt(121)\/((1*sqrt(33))\/sqrt(3))).\nAnswer: 3 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-1\/3)*q*q*q)\/(q\/q**(-5)*q))**(10\/7)\/((q*(q\/q**(3\/5))\/q)\/q*q*q\/q**(6\/5)*(q**0)**(-39)) assuming q is positive.\nAnswer: q**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**4\/14 + 20*k**3\/21 - 9*k**2\/7 - 59. Factor r(m).\nAnswer: -2*m*(m - 9)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (33 - (21 + 14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12\/53 + -272\/265. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 15 = -4*g - 3, 3*v - 6*g - g + 24 + 18 = 2*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9930 by 6.\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 8*x + 16. Determine f(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 120*q + 1\/2*q**2 - 241\/2 = 0.\nAnswer: -241, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*v - 1057 - 1757. What is the units digit of (-2 + 8)\/(((-12)\/v)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -2) + (1 - 1). Suppose -w = w + 18. Let i be r\/3*w\/(-2). Calculate the highest common factor of 2 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 3 = 0, -v = 2*i + 275. Let k be i\/(-3)*-250*20. What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 7}. Give prob of picking 3 t.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 11 (b) 3\/4 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/80 and -47\/220.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x**3 + 192*x**2 - 136*x + 144. Let u(v) = 2*v**3 + 36*v**2 - 27*v + 29. Let s(g) = -16*u(g) + 3*w(g). Find r such that s(r) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39368, -39365, -39354, -39329, -39284, -39213?\nAnswer: -39110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 1376 = 25*p - 0*v, 0 = -8*p + 27*p - 2*v + 1043 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 49\/14 - 2\/4. Suppose o*a - 26 = 31. Calculate the remainder when 54 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -2*h - 2*t, t - 120 = -3*h - h. Let y = 48 - h. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-16) + 162\/8. Suppose 2*x = -3*o + 45, 0 = x - 2*o + 6*o - f. 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: What is prob of sequence kkh when three letters picked without replacement from kkhkkhkkkkkhk?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 753.221 nanometers?\nAnswer: 0.000000000753221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 240 - 1297*i**3 + 1232*i**3 - 143 - 3*i.\nAnswer: -65*i**3 + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -10*f**2 + 2*f + 1. Let g be o(-1). Let l = g + 20. Suppose 0 = -5*x + 2*x + l. Solve 2*q + 2 = x*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Suppose d*r - 6*r = 0. Suppose -6*p + p + 31000000 = r. Round p to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 134, 334, 606, 944, 1342, 1794?\nAnswer: 2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 99, 178, 287, 432, 619, 854, 1143?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -437?\nAnswer: -1\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s**(2\/9)*s)\/s)\/s))\/s**10 assuming s is positive.\nAnswer: s**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4929202 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:39 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -118980 divided by 59490?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**2 + 4*y**2 - 5*y**2)*(0*y**2 + 0*y**2 + 2*y**2) + (-y**4 + 3*y**4 + 2*y**4)*(1 - 8 - 5) to p*y + t + d*y**4 + c*y**3 + b*y**2 and give d.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9469 - 37047. Let c = x + 46516.19143. Let n = c + -0.189. Round n to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*f - 4*o - 23, -3*f + 21 = -3*o. Is (-1)\/f - (-205)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -4.7. Let o be 2*(1 - 6\/4). Let k = -0.6 + 0.5. Sort k, x, o in descending order.\nAnswer: x, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (-10 + 28)) + -17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 18. Suppose 0 = -5*s + 5 + w. Solve -s = -l - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112331\/5 - -22208. Let p be (443\/80)\/(2\/94). Let c = p + y. Find the common denominator of c and -73\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 70. Suppose -5*d - c = -135. Suppose 44 + d = 5*j. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1160075 or 0?\nAnswer: 1\/1160075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1085939 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 2\/7, -3\/2, 4.5, 6\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*v + 419 + 1302 + 1017 = -1609 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.69 + -0.8. Let g be -5*((-62)\/130 + 1). Let u = -149\/52 - g. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*l = 31, 5*l = 2*k - 270 + 300 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 - 11525*f**3 + 6794895*f**2 - 176869615*f + 985963960 = 0. Calculate f.\nAnswer: 8, 19, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71790 and 9150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 7*s**2 - 7*s + 12. Determine o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6189 a factor of 384114096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g**2 + g - 2 + 2 + 0 to z*g**2 + t*g + j and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60416348 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3964 and 146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 24*t - 206. Give d(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6021, 6030, 6039, 6048?\nAnswer: 6057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 3862 - 3862 + 23*j.\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13.46 * -94\nAnswer: -1265.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5830564 to the nearest integer?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 17 - 5*c - c - 3 - 4. Does 14 divide f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/4 + 108\/48 + (-57 - -7)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -109, -97, -65, -7?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c + 299 - 7 = -37 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 11 + 18 + 11 + (-2 + 0 + 4)*(4*u - 4*u - 2*u) to l + r*u and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(192)*-4 + 4 + sqrt(192) + -6*sqrt(192))*3)**2.\nAnswer: 4032*sqrt(3) + 84816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263733?\nAnswer: 41, 55213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8968 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 75.75 and 150183.618.\nAnswer: 150259.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 214915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + (sqrt(1584) - -1*sqrt(1584))*4)**2 + (6*(sqrt(1584) - (sqrt(1584) + -1)) + -5)**2*6.\nAnswer: -768*sqrt(11) + 101398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -450 - -639. Suppose 0 = -38*l + 41*l - u. What is the greatest common divisor of l and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)*(y*y**(-9))\/y)\/(y\/(y*y**1\/y*y*y))**(-3\/17) assuming y is positive.\nAnswer: y**(-301\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35018 and 68?\nAnswer: 2381224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-6) + (-4)\/(-6). Let v be (-4)\/(-6) + (-1)\/y. Let k be 2*v\/(2\/5). Put -2, k, 3 in ascending order.\nAnswer: -2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 28*h**2 - 127*h + 7. Give q(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**5\/3 + 3335*h**4\/3 + 19630*h**3\/3 - 132200*h**2\/3 = 0.\nAnswer: -661, -10, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxofxxzf. What is prob of picking 1 o, 1 z, and 2 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, r: 2, q: 2, t: 1, g: 1}. What is prob of picking 4 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 6:10 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23853 is divided by 5884.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i = 2*g + 41*i - 11, 5*i = 5*g + 60 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4377, -4311, -4101, -3675, -2961, -1887, -381, 1629?\nAnswer: 4215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6007511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(5) + sqrt(180) + 5.\nAnswer: 10 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 8*h - 10. Suppose 3*i - 3 - 3 = 3*p, 3*i = -3*p - 30. Let t be k(p). Differentiate 8*d + 50 - 8*d - 23 + 40*d**t wrt d.\nAnswer: 80*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252812514 divided by 126406257.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:35 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**2\/2 - 5*l + 27. Calculate t(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3768978431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 10:16 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 328790 and 535.\nAnswer: 35180530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/46 (b) -27 (c) 0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19354777 or 0?\nAnswer: -2\/19354777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 9. Let o be v(4). Let i(b) = -2*b + 6. Let l(h) = -h + 6. Let m(n) = o*l(n) + 6*i(n). What is the first derivative of m(p) wrt p?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 + 71*n - 133*n + 61*n + 4*n**3 - n**4 - 107*n**2 in the form s*n**4 + i + l*n + g*n**3 + q*n**2 and give q.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w - 3. Suppose 10 - 30 = -4*p. Let v be g(p). Suppose 4*s - 114 = 590. What is the highest common factor of s and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*h = -9, 2*z - h - 7 = -0*h. Let g be 102\/12 - 8 - (-326)\/4. Suppose z*n = 50 + g. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -42, 3, 6 in descending order.\nAnswer: 6, 3, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z + 25. Solve 4*l - 3 = l, -z*c + l - 26 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 27. Let s be (3 - 1) + -251 + r. Let p = 353 + s. Calculate the highest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79021 + -0.136?\nAnswer: 79020.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5226?\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:52 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7541 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 16. Suppose -2 = m*i - 26. Let t be 881 - (16\/i + -3). What is t rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -942, -4976, -11694, -21090, -33158, -47892?\n\"Answer: q**3 - 1348*q**2 + 3*q + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**2 + h + 3 - 3)*(0 + 39 + 38) to the form d + o*h**2 + w*h and give w.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 21*i**2 + 84*i - 9. Let f be v(-4). What is the fourth smallest value in 8, -1\/5, -5, f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1831 - 23b?\nAnswer: -1a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*q = 594, -3*q + 0*q = -3*p + 1746. Suppose p = a + a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177155 divided by 55.\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 1 (b) 3 (c) -3\/21836 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5\/7 + 32*j**4 - 3586*j**3\/7 + 13956*j**2\/7 - 18045*j\/7 + 7452\/7 = 0.\nAnswer: 1, 3, 12, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -30*o**2 + 3*o - 3. Let f(k) = -45*k**2 + k - 7. Let u(a) = 40*a**2 - 2*a + 6. Let n(p) = -2*f(p) - 3*u(p). Calculate 4*c(w) - 3*n(w).\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656954659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/30*2 - (-10)\/(-15). Sort o, 5, -20, 2.\nAnswer: -20, o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27345794 is divided by 302.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 176*u + 4. What is the tens digit of a(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2706, -2739, -2794, -2871?\nAnswer: -2970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 + 9*n - 11. Let a(q) = 4*q**2 + 5*q - 6. Suppose -752 = 3*c - 719. Give c*a(k) + 6*y(k).\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from daaadddadpd?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/779? (a) 2 (b) 7\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (108\/15)\/((-4)\/(-10)). Let o be 12\/d + (-1 - (-10)\/3). Solve 0 = 3*p - o, -p - 3 = 2*k + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2021\/(-50525)*-22*(-75)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 100 + 9030*f**3 + 99 - 296.\nAnswer: 9030*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -14*f - 151. Let d be u(-11). Suppose -9*q = -d*v - 13*q - 17, 2*q + 8 = -2*v. Let i be (-4)\/6*-2*3. Sort v, i, 5 in decreasing order.\nAnswer: 5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 + 6*m**2 + 3*m**2. Let r(c) be the first derivative of -c**3\/3 + 976. Calculate p(r(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 + 0*o**2 + o**3 - 2*o**3)*(-40 - 12 + 12) to x + h*o + k*o**2 + l*o**3 and give k.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 2*a. Let b(v) = -4 + 3 - 5*v + 4*v**3 - 7*v**3. What is -2*b(g) - 5*z(g)?\nAnswer: -4*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59083491553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 105*k**4\/2 - k**3 + k**2 - 15. Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30)\/(-3)*45\/2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 2, 2\/5, -1\/4, -3954, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 28*s = -1775. What is the remainder when 279 is divided by s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -8*p + 2. What is the remainder when m(-10) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = s + 14, -i + 4*s = -0*s - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133191516*t + 266484447 with respect to t.\nAnswer: -133191516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5500 + 5488. Put -2, -1, v, 16, -5 in decreasing order.\nAnswer: 16, -1, -2, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/1621 + 1617\/6484. Let t = -124 + 1861\/15. Let i = t + 2\/15. Put -6, i, z in decreasing order.\nAnswer: z, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-7))\/((-12)\/21)*-2938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2191 + -2021. What is the remainder when 1052 is divided by f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2046957826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + -26. Let r be -1*3 + j\/(-10). Solve -2*n - r = -12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.1 (c) 0.02181 (d) 0.97 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, q: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-6))\/o)**34*o**(-1\/6)\/(o\/(o\/(o\/o**(5\/6)*o))))**43 assuming o is positive.\nAnswer: o**(26144\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8)*5\/(-25).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10444112 - -40?\nAnswer: -10444022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -12 - 2. Let t(h) = -h**2 - 6*h + 10. Let y be t(w). What is the first derivative of -o - 3*o - y + 6*o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -12*v**5 + 10372348*v**4 - 2241368458568*v**3 + 747111294696*v**2 + 2241368458580*v - 747121667044 = 0.\nAnswer: -1, 1\/3, 1, 432181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*4*4\/(-64))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -5. Let u = -2 + r. Is 6\/u - 1*-89 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30142005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*x - 66 = 0, g - 2*g - 5*x = -24. Let n(f) = 19 - 19*f - 18*f + 7*f. What is the remainder when n(-4) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 + 159189*n**2\/5 - 31838*n.\nAnswer: n*(n - 1)*(n + 159190)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11721632.\nAnswer: 2, 13, 19, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 5 - ((18 - 2) + -3 + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002373381 to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4957357 by -4307.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2. Let s(t) = -22230*t**2. What is s(x(b))?\nAnswer: -22230*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, q: 11, s: 4}. What is prob of picking 1 s and 1 o?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j**3 - 14*j**2 - 11\/450*j**5 + 7\/900*j**6 - j - 1\/1575*j**7 + 0 + 1\/36*j**4. Factor i(k).\nAnswer: -2*k*(k - 5)*(k - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from kkkkvkvkvkkkkk?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 1 + 11. Suppose -14*o = -j*o - 792. Calculate the remainder when (-433)\/(-4) + 54\/o is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299290853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8)**33 assuming x is positive.\nAnswer: x**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 853 in -4, 5, 2, -16\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlhl. Give prob of sequence hllh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 7*r + 14. Let l(q) = q - 7. Let i(g) = g - 1. Let d(p) = 4*i(p) + l(p). Let v be d(1). Does 10 divide x(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.6187905 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 + 8*b - 1 - b**4 + 2*b**2 - 10*b + 2*b**3 to the form t*b**4 + l*b + p*b**2 + g + w*b**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 55*u + 13*u - 150*u + 2.\nAnswer: -192*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*i**4*m + 22*i**2*y + 5*i*m + 4*m + 4948*y wrt i?\nAnswer: 40*i**3*m + 44*i*y + 5*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22a4 - 4?\nAnswer: 22a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -162?\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/(-69))\/(-2)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1272135069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -106. Let f = n + 61. Let t = f + 12. Calculate the smallest common multiple of t and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/3))**(-18\/7)\/(s\/s**(-2\/3)*s**20) assuming s is positive.\nAnswer: s**(-545\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -487 (base 10) in base 16?\nAnswer: -1e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 56 + z + 20 + 19 - 13*z**2 to the form y*z + v*z**2 + w and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 13. Suppose -9 = -l*z + z. What is t in -1\/3*t**5 + t + 1\/3 + 2\/3*t**2 - 2\/3*t**z - t**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 14 + 6. What is the second biggest value in 4, -0.3, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 3:04 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d*g**2*p*z + d*g**2*p + d*g**2*z - 2*d + 3*g*p*z - 3*g*p + 16*p wrt g?\nAnswer: 8*d*p*z + 2*d*p + 2*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11539 is divided by 391.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2251620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - 0. Let c = -0.39 - r. Suppose 39*y - 3*y + y + 185 = 0. Put c, y, 4 in descending order.\nAnswer: 4, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4305 (base 15) to base 11.\nAnswer: -a721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102112120112122 - 22?\nAnswer: 102112120112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let y(o) = -83*o + 6. Calculate s(y(c)).\nAnswer: 83*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273072)\/(-398230)*14\/4.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*s - 3*s = -28, 0 = -3*s - 12. Suppose c*j - 24 = 8*j. Suppose -50*y - 64 = -52*y. Calculate the remainder when y is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -384727*v - 83485753. Determine b(-217).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/13)\/(u\/u**0*u))\/(u**(-1\/2)\/(u**6*u)))**(6\/19) assuming u is positive.\nAnswer: u**(441\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115163308\/5 or -23032662?\nAnswer: -115163308\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, 24, 2, -58, -168, -340, -586, -918?\n\"Answer: -2*q**3 - q**2 + 21*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 2*g**2 + g - 3. Let q be b(-3). Let o = q - -108. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 155*v - 6795. Give d(-109).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13335 (base 10) to base 15\nAnswer: 3e40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 - 2*j**2 + 2*j. Let p be l(-4). Suppose 2*y = -2*y + p. Let q = -19 + y. Solve -2*d + 3*d = -q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + y**3 - 3*y**3 + (4*y**2 + y**2 - 3*y**2)*(2 - 3*y - 2) + y + 6*y**3 - y + (y + 1 - 1)*(-y + y + y**2).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240, 4, 1, -194.\nAnswer: -194, 1, 4, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 39 = -115 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 6*d = -106, -4*d = 977 - 917 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -350 + c?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((84\/5)\/6)\/((-12)\/(-180)). Solve 4*a + d - 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*u + 36*u - 60 - 27*u - 19*u as f*u + v and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12699097763 and -2.\nAnswer: -12699097765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (-4*-3*sqrt(1700) - sqrt(1700) - -2*sqrt(1700)*1)**2 + -1.\nAnswer: 287295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643585.9 millennia in centuries?\nAnswer: 6435859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 241531923*g**2 - 499*g - 503210 wrt g?\nAnswer: 483063846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 15 + 11. Let z be (-12 + 8)\/(k\/2). Suppose -3*h + 0*h + 9 = 0, z*h = -p + 110. 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 greatest common factor of 284255 and 94070?\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.478 - 21.522. What is the third biggest value in -0.3, -4\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 27 = -4*z, 4 + 8 = v + 3*z. Suppose -4*o = v*x - 52 - 10, 4*o = 3*x - 46. Let f = 283 - 271. What is the lowest common multiple of x and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1101 + 1102.947. Let n = k + 0.233. Let w = -0.18 + n. Which is the nearest to w? (a) -2\/9 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 3:04 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 797543271 and 537.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/78 - 5*p**3\/39 + 4*p**2\/13 - 8*p. Determine b so that y(b) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/3 - 2\/3. Let o = p - 41. Let n = o - -28. Which is smaller: n or -15\/7?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Let h = -0.72 + 0.32. Let j = 2 - 4. Which is the biggest value? (a) k (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/((-330)\/(-80))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 545292 * 29.\nAnswer: 15813468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19153374 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.1 + -2.5. Let n = v - 2.1. Which is the nearest to 0.1? (a) 2 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2482*l**2*u**2 + l**2 - 2*l*u**3 - u**3 - 7*u - 137 wrt u.\nAnswer: -4964*l**2 - 12*l*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 - 3*r**2 - r - 2. Let p be c(-2). Let t(x) = x**2 - x - 2. Let g be t(p). What is the greatest common factor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 4 = -12*b. Find the third derivative of -30*s**4 - s**b + s**3 - 8 + 11*s**2 - 13*s**2 wrt s.\nAnswer: -720*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33990193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 830281, 1660537, 2490761, 3320953, 4151113, 4981241?\nAnswer: 5811337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 28*k + 150. Let d = -468 - -442. What is the remainder when m(d) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -73*a + 17. Let j(p) = -p**2 - 6*p + 11. Let v be j(2). Let y(b) = -72*b + 17. Let n(k) = v*d(k) + 6*y(k). Find the first derivative of n(r) wrt r.\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2497*r**4 + 5*r**3 - 173496*r**2 wrt r.\nAnswer: -59928*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2796210?\nAnswer: 2, 3, 5, 31069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/13 in 0, -2, 2376, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -380 - -357. Let f be (1 - -1) + 0\/r. Solve -2*o = 4*a + 18, 5*o - 4*a = f + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1071.518 to the nearest 10.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 13*q**4 + 882*q**3 + 4800*q**2 + 11*q - 11. Let g(n) = 35*n**4 + 2425*n**3 + 13200*n**2 + 30*n - 30. Let p(d) = 11*g(d) - 30*y(d). Factor p(w).\nAnswer: -5*w**2*(w - 48)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 947320670 to the nearest 100000.\nAnswer: 947300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7759950?\nAnswer: 2, 3, 5, 11, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, 0.47, 11, -1, -0.095?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5151.\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011060122 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j**2 - 22*j**2 + 35*j**2 + 50*j + 74*j as b + u*j**2 + h*j and give h.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 - -204. Find the second derivative of -131*c - 28*c**3 - 14*c**3 + n*c wrt c.\nAnswer: -252*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a29069 (base 15) to base 13\nAnswer: 17a64b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17380 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203 + 243. What is the smallest common multiple of 8 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -625*c**3*r*z**2 + 10*c**3*r - c**3*z**2 - c**2*r*z**2 - 28*c**2*r + 262*c*z**2 wrt c.\nAnswer: -3750*r*z**2 + 60*r - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -24. Suppose -4*l + 180 = q*b - 2*l, 0 = 4*b + l - 375. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -11 (c) 1039473\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351293, -702729, -1054165?\nAnswer: -1405601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002054319 rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 372 - 3?\nAnswer: 36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 + 18*m)*(-1 - 2*m + 1) + m**2 - 4*m**2 + 2*m**2.\nAnswer: -37*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 7, j: 2, d: 2}. What is prob of picking 1 d and 2 j?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11*b**2 - 244*b - 10. Determine h(-22).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 - -347. Let f = o + -138.801. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and 116.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/12 - 2*y**2 - y. Is 6 a factor of f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (-14 + 6 - -8) - -1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 26, 81, 188, 365, 630, 1001, 1496?\nAnswer: 2133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90731, 181574, 272417, 363260, 454103, 544946?\nAnswer: 635789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*9\/(-108))\/((-4)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + 1667*s - 16 - 10 - 107*s - 15 as b + o*s and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4 - 3 + 0 + 9*g - 8 - g**2. Calculate v(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 32 + 7 - (-6 + -2 - 3).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 0)*(d + d - 4*d)*(0*d - 4*d + d + (3 - 3 + 2)*(-3*d - 4*d + 5*d) + d + d - d + 0*d + 0*d + 2*d + 0 + d + 0) to g + p*d**2 + x*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, j: 2, l: 2, v: 5}. Give prob of picking 2 v and 2 l.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 + 24 - 30*c**2 + 4*c**2 + 4*c**2 + 5*c**2 + (-4 + 5 - 16)*(0*c**2 + 3*c**2 - c**2).\nAnswer: -47*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*d**2 - 3*d**2 - 18*d - 22*d + 31*d to the form l*d + g + r*d**2 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:31 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -130, -515, -1262, -2491?\nAnswer: -4322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 n when three letters picked without replacement from uunnu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 1\/4, -0.2, -12431?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(162) + 3 + sqrt(162))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -383.0598 + -0.5.\nAnswer: -383.5598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -1) + 1*5. Let t be (-1)\/((-3)\/18*r). Suppose -4 + 10 = -5*o + 4*f, t*o - 26 = -5*f. Solve -3*i + o*a = -4, -1 = 3*i - a - 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 15344?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23070630071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19972 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*t*w**2*y - 4*t*w**2 + 282*t*w*y + 13*t*w - 4*t + 6*w**2 with respect to y.\nAnswer: -6*t*w**2 + 282*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 5*t**2 - 431*t - 2567. Give h(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.9421 * 0.7\nAnswer: -0.65947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.393 - -0.007. Let b = -2.4 + f. What is the second biggest value in -2, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 124, 249, 374, 499, 624, 749?\n\"Answer: 125*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1408*c + 22 - 908*c - 22 - 3929*c.\nAnswer: -6245*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -15. Let m(h) = -6*h**2 + 27*h - 21. Let v(o) = o**2 - 4*o + 3. Let y(b) = x*m(b) - 27*v(b). Factor y(q).\nAnswer: -3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -46, 477, 2190, 5687, 11562, 20409?\n\"Answer: 99*w**3 + w**2 - 173*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from pza?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/20 (b) -0.4 (c) 1 (d) 1\/2 (e) -213 (f) 26 (g) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, -3, -2, 5 in descending order.\nAnswer: 5, 0, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p + 44*p = -12125. Sort 0.5, -2\/9, p, -2\/27 in ascending order.\nAnswer: p, -2\/9, -2\/27, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172\/455 + -2\/91. Let h = 5.4 + -5. Which is the nearest to m? (a) 0 (b) -5\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34544 - 34540 = b + 3*p, 4*p = -b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43962 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyyzzygphygz. What is prob of sequence zz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**9\/126 - 7*r**5\/15 - 26*r**2. Find the third derivative of t(a) wrt a.\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27746201 and -3.\nAnswer: -83238603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/36 + 5\/4. Which is the closest to i? (a) 2\/11 (b) 2\/17 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*u**5 + 8*u**3*y**3 + 2*u**3*y + 51*u**2*y**2 - 7*y**3 wrt u.\nAnswer: 1560*u**2 + 48*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {r: 10, a: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 4461806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1698813 divided by -3.\nAnswer: -566271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - -1.28. Let l = f - 3.3. Let s = -7 - -10. Which is the smallest value? (a) l (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011687 to five dps.\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130574 + 16452497\/126. What is the common denominator of 123\/20 and n?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17929743 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3080 is divided by 2464.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7873.\nAnswer: 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8940015, 17880010, 26820005, 35760000?\n\"Answer: 8939995*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 2, -15, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - -7. Let c = u - 20. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9810, 19614, 29402, 39168, 48906, 58610?\n\"Answer: -o**3 - 2*o**2 + 9817*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -l - 23, -f + 3*l = l - 11. Suppose -9 = 3*z - 2*n + 5*n, -3*n - f = 5*z. Let v = 0 + -0.1. Which is the nearest to 1? (a) z (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -761 and -150226?\nAnswer: 114321986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*v + 12*v + 317*v**3 - 3*v + 2*v**2 - 318*v**3 to the form w*v**3 + j*v + y*v**2 + x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 1)*(4 - 5 + 2)*(-o - o - o).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 100689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0166 * 3\nAnswer: 0.0498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137109893?\nAnswer: 3, 379036631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 169200 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from mgzgpgzlxxlgmz?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/9*20 + 24\/(-108). Let l(h) = 23905*h - h**n - 23905*h. Let u(t) = 52*t - 44. Let v(q) = q - 1. Let s(j) = 4*u(j) - 176*v(j). Calculate s(l(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582*m**2 - 582*m**2 + 7*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsr when three letters picked without replacement from {b: 2, o: 1, s: 2, q: 3, r: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 + (-20)\/(-4 + 9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(1702\/(-74))\/276)\/(2\/(-2)*-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5*t**2)*(0 - 4 + 3)*(0 - 4 + 3).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 0, 5*f + 14 = 4*k - 13 - 83. What is the closest to 11 in -2\/3, f, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - 2\/((-8)\/15). Suppose 43124 = -2*y + 6*y - n*q, -q + 21562 = 2*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3251*w = -1210*w - 230633 for w.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1393 - 1393.2. Let p be ((-140)\/75 - -2)*3. What is the nearest to p in -4, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k**4 - 2539407*k**3 + 96361452*k**2 - 910405083*k - 65521500 = 0. What is k?\nAnswer: -60500, -1\/14, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - g**2 + 2*g - 4. Let a be z(2). Suppose -a*v + 7*v = 3*t - 15, 4 = 2*t - 5*v. Solve 2*k = -4*s - 6, -2*s + 0*s + k = -t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112270, -112521, -112772, -113023, -113274, -113525?\nAnswer: -113776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 278 = 5*r, 101 = 4*r + 3*l - 143. Is (r\/4 + 2)*(-692)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t)**(5\/13)*(t\/((t**(-1\/4)*t)\/t))**(15\/2) assuming t is positive.\nAnswer: t**(1095\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108968163, 217936323, 326904483?\nAnswer: 435872643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 15) to base 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 371 and 0.2?\nAnswer: 74.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13873 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4065.99 + 4325199.\nAnswer: 4321133.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267881?\nAnswer: 19, 23, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006273 is divided by 4529?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -92*r - 1096. Calculate the lowest common multiple of 184 and h(-13).\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 51. Let o be a(4). Which is smaller: 38 or o?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3511 (base 7) to base 4\nAnswer: -110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*j + 164*j = 80*j + 680. Calculate the greatest common divisor of j and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 - 133. Let n(t) = t - 5 - 2 + t**2 - 1. Let s be n(z). Solve 3*o + s = -3*u, 3*u + 0*u - 4*o - 9 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 2*j + 3. Let r be x(2). Let t be 6 - (-9)\/(-3) - -1. Suppose -g = -t - r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -1.1. Let g(w) = -2*w - 9. Let k be g(-5). Sort l, k, -1.\nAnswer: -1, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*h - 1783 - 10065 - 780. Calculate the remainder when h is divided by 180.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 12 = 4*g. Let p(s) = s - 12. Let t be p(g). Suppose 210 = t*u + 2*u + 2*i, 0 = 4*u + 5*i - 207. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/12 + 3*q**2\/2 + 81*q + 1. Determine w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -505996 * 27.\nAnswer: -13661892","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwg when three letters picked without replacement from {b: 8, w: 2, g: 2, l: 7, r: 1}.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 9*l**2 + 5\/6*l**3 + 1\/8*l**4 + 0*l + 0. Differentiate d(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 68 = 12*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -11*y - y**3 + 5 + 0*y**3 + 5*y - 7*y**2. Let h(l) = l + 3. Calculate the lowest common multiple of h(7) and g(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*m - z, -3*z - 8 = 1. Let o = -29.7 + 30. What is the closest to -2\/7 in m, -7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331032 + 33230210?\nAnswer: 32233112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -385103952 in ascending order.\nAnswer: -385103952, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - 4) + -3 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-37)*r**(-34))**(2\/31) assuming r is positive.\nAnswer: r**(-142\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -8, 0.356 in decreasing order.\nAnswer: 0.356, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/60 - 7*i**3\/3 - 17*i**2. Let o(x) be the first derivative of r(x). Let d(s) = 12*s**2. Calculate d(o(b)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6214786*d + 2120467?\nAnswer: -6214786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (3 + -3 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 10:01 AM?\nAnswer: 637","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257734614?\nAnswer: 2, 3, 42955769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 37. Let w(o) be the first derivative of 0*o - 2\/5*o**2 - 14\/15*o**a - 1\/2*o**4 + 3. Let w(n) = 0. What is n?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n - 6. Put 0, 1, n, 3 in increasing order.\nAnswer: 0, 1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*o = -12, -3*y + 2*y = -2*o - 9. Solve 5*n - 21 = -4*r, 2*r - y = 3*n - 0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 738 = 3*j + 736, 3*n + 8 = j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*n**3*v**3 + n**3 + 9*n**2*v**2 - 4*n*v**3 - 38*n*v + 5*v**3 wrt n?\nAnswer: -234*n*v**3 + 6*n + 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:48 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)\/f**6)\/(f**21*f\/((f*f**5)\/f)) assuming f is positive.\nAnswer: f**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + (-6)\/(-4). Let v = 1 + 0. Let n be (1 + 0 - 0)*v. Is n <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.05. Let v = 41726 - 41726.0500005. Let k = v + o. Round k to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -22*a + 95. Let o be v(-13). Calculate the highest common factor of 9 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13513 is divided by 267.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -413*q**3 + 778*q**3 + 10 - 4*q + 4*q**2 - 363*q**3 to z*q + c + m*q**3 + i*q**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16995582 is divided by 1413.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.9 and -82.8934.\nAnswer: -81.9934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*z = 309*z + 22872 - 1393 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 110110100000110 (base 2) to base 13\nAnswer: c91c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(42) + (sqrt(84)*-2)\/sqrt(2))\/sqrt(6).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**2. Let o(c) = -3*c + 5*c - 5*c. What is t(o(g))?\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r + 2*i - 8 = 0, -5*i + 20 = 3*r. Suppose 4*s - 5*s + 21 = r. What is the greatest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64046 is divided by 539?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 25. Suppose o*d + 5*i + 2 - 27 = 0, -d + 5*i - 7 = 0. Suppose 5*l = 4*l + 3, -d*b = -l - 12. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2206824016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10494151.\nAnswer: 17, 31, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 56\/868 - (-459)\/93\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 5*k = -8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3\/4 - 33*c**2\/2 - 405*c\/4 = 0.\nAnswer: -5, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1965 and 262.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7859.8171 - 7858. What is y rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9875 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/56462 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38\/7 + 183\/35. Let o = -0.05 + -4.95. Sort o, 1, p.\nAnswer: o, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8680 divided by -5\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 + 49156*p**3 + 128053112*p**2 - 146109205888*p + 145981103616 = 0. Calculate p.\nAnswer: -6568, 1, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -23. Let u be 4\/(-6)*q\/(-10). What is the smallest common multiple of 16 and 1*(u - 3)*-1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/(-176)*(7 + -2 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/36*34*117\/(-117).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503907 is divided by 332.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5*(5 + 244\/(-40))\/(24\/48)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29605 is divided by 205?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104 - 8*g**3 - 104 + (-2 - 2*g**2 + 2)*(6*g + g + 2*g) - g**3 - 2*g + 0 + 0 - 1 to s*g**3 + m*g**2 + b + o*g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/53 less than 5463\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -3 + 4)*-1. Let u be (19 + -4)*(q - (-120)\/9). What is the greatest common factor of 40 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 + 413. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 6*r - 5. Suppose -2*q - 2*q + 116 = 0. Suppose j - 4*j + 4*d + q = 0, 0 = 5*j - 2*d - 39. Let y be s(j). Solve -12 + 2 = y*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w - 4*w - 52. Suppose 2*r + 2*r = -4*m - 4, -3*m - 1 = 2*r. What are the prime factors of (-14)\/r - (w - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 + g**4 + 3*g**4)*(4 + 2 - 3).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-15*y - 21*y + 3 + 38*y)*(-2 + 3 - 3).\nAnswer: 4*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -292, 1\/6, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 + 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Suppose -2*f = -2*s - 4, s - 3*f = -o*s - 8. What is the tens digit of s + 1 + 84 + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 11, -2\/7, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from kpkxzpzkzkppb?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 4, y: 1}. What is prob of picking 1 f and 1 u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 1, h: 1, u: 1, t: 2, p: 1}. What is prob of sequence hzuh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*c**3*u**3 - 16527*c**3 + 2*c*u + 18*u**2 wrt u?\nAnswer: -30*c**3*u**2 + 2*c + 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c + 25264*c**2 + 7*c + 5*c - 2.\nAnswer: 25264*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*i - 48*i = 1672 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 14, 42, 92, 170?\n\"Answer: f**3 + 2*f**2 - f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + 8\/12*-6. Let h be (j\/1 - 3) + 27644\/14. Let u = 360429\/182 - h. Find the common denominator of -83\/18 and u.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from sgggggsgggggg.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10122222 (base 3) to base 11.\nAnswer: -200a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - u. Let h(l) = 8*l**2 - 6*l. Let m(x) = 2*h(x) - 12*w(x). Let z(v) be the second derivative of -v**3\/6 - v. Determine z(m(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16071 - -16068. Let i(j) = j**3 + 2*j**2 - 13*j - 33. Determine i(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156756110 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-8850)*(18 + -6). Let w = p - 84051\/5900. Find the common denominator of 69\/10 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 = -5. Suppose -n*v - 5 = -20. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 8. Suppose -15*x + 7*x + 32 = 0. Calculate r(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2187 + -2170. Solve 27 - q = 10*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 29*a**2 + 28*a - 219. Calculate w(15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6837 by 2279.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 70.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -49*u**2 + 28*u - 28. Let t(c) = -c**2 - 327*c + 1999. Let b be t(6). Let i(f) = -f + 1. Determine b*o(y) + 28*i(y).\nAnswer: -49*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 481\/426 + 171\/142. Let x(o) be the third derivative of -z*o**3 - 1\/12*o**4 + 0*o - 20*o**2 + 0. Give x(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/4 + 4\/8. Suppose k - 5*k + g = -l, -5*l + 2*k = -14. Sort -2\/5, -1\/9, l.\nAnswer: -2\/5, -1\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y + 4*y - 32*y as b*y + a and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1036 - 894. What is the remainder when 203 is divided by b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -591 - -835. Suppose 3*t = 311 + a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1526504400 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*((-p - 2*p + 2*p)*(-4 - 2 + 5) + 2*p + 3*p - 7*p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 3*j - 0 + 21, 0 = -3*z - j + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*j = -9496 + 7714 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**5\/12 - s**4\/24 + 3*s**2\/2 - 2*s. Let y(f) be the first derivative of w(f). Let m be y(1). Solve -m*z + 2 - 6 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34406, 138430, 311804, 554528?\n\"Answer: 34675*c**2 - c - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3059.999km in meters?\nAnswer: 3059999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/7)*m**(-4)*(m\/(m**3*m*m))**(-2\/9) assuming m is positive.\nAnswer: m**(-214\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and (-8)\/(-44) + 92\/(-22) - (201 - 1463)?\nAnswer: 10064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4284161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*g + 170, -5*z + 6*g = 3*g - 258. Suppose f - z + 57 = 0. Suppose -u + 3*j + 2 = 4*u, 3*u = 4*j + 10. Are f and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:55 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -53*o - 325. Let b be a(-6). Let c(u) = 4 + 2*u**2 - u**2 + 3 - 4 + 5*u. Determine c(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*k - x + 303, -5*k + 377 = -2*x. Suppose 483 = -6*n + k. Let m = -65 - n. Solve m = d + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*j**5 - 1926*j**4*n - 240368*j**2 + j*n wrt j?\nAnswer: -5340*j**2 - 46224*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14455 - -45100?\nAnswer: 103555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 117938492 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990\/1530 - (-74328)\/(-74936).\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-34)*z)*z**(-26) assuming z is positive.\nAnswer: z**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let f(r) = 5*r + 3. Let j(b) = 26*b + 16. Let g(k) = -16*f(k) + 3*j(k). Let y(d) = -10*d. Let q(o) = 16*g(o) - 3*y(o). Determine n(q(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34 - 83aa7?\nAnswer: -83b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109995 is divided by 440.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 6)*(-2)\/(-1). Suppose -i*p + 0*p + 8 = 0. Suppose 34 + 26 = 5*d + 5*t, 4*t = -p*d + 16. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -5, -23, -6 in descending order.\nAnswer: 3\/7, -5, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2594*o - 459 = -2567*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1 - (-3 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245 + 250. Put 2, q, -2, 2\/3 in descending order.\nAnswer: q, 2, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglllgllglggg. What is prob of picking 2 l?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14861 + 2990 = -83*h + 7634. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -1\/2, 2\/111, -2, -1\/6, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-4))\/((-4)\/640). Calculate the highest common factor of 40 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.58332nm to micrometers.\nAnswer: 0.06458332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h + 2. Let x be b(-3). Let t(g) = -10*g - 3. Let r(o) be the third derivative of 5*o**4\/4 + 5*o**3\/3 + o**2 + 4*o + 35. What is x*t(a) - 3*r(a)?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**3*h + 53*c**3 - 189*h wrt c.\nAnswer: 9*c**2*h + 159*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 2\/15 (c) -3 (d) -219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1290921491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*k**2 - 15*k**3 + 45*k**2 + 402*k**2 + 16*k**3.\nAnswer: k**3 + 333*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*i**3\/7 - 7221881*i**2\/7 + 1520384*i\/7 - 80020\/7 = 0. What is i?\nAnswer: 2\/19, 20005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 17. Let a = -0.8 - -1. What is the closest to -0.1 in -0.5, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 19*d**2 + 43*d - 105. Let z be m(12). What is the greatest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 251.6 + -251.1. Let d = -0.8 - -1. Let i = d + 0.8. Which is the nearest to i? (a) -5 (b) j (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:19 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 w when three letters picked without replacement from vfffwbyvbfbwvb.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -8 (b) 4 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 + -0.1202188. Round o to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3333?\nAnswer: 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 437038643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**6 - x**5 + x**4 + 2*x**2 + x. Let b(g) = 16*g**6 + 5*g**4 - 667*g**2 + 5*g. Let q(i) = b(i) - 5*t(i). Find the third derivative of q(p) wrt p.\nAnswer: 1320*p**3 + 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 60, 143, 248, 369, 500, 635, 768?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 14*f - 13. Let r be m(6). Sort 6, 1, r in decreasing order.\nAnswer: 6, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.10606 - -5.21306. Let w = h + -0.107. What is the second biggest value in w, 0.8, 3\/5, -2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 11002?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 3:28 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -15. Which is the second smallest value? (a) 0.5 (b) 4 (c) j (d) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1053 and 10476.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 215636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1170, 2118, 2744, 2886, 2382, 1070, -1212, -4626?\n\"Answer: -27*s**3 + s**2 + 1134*s + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1118 and -1314 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/6 + 1\/(-3). Let f be 79200\/432*(-7)\/(-4)*30\/35. Suppose -5*c + 3*k + 341 + f = 0, 116 = c - h*k. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17 - -1)*291\/2. Suppose 0 = -2*k + 2*u - 2560, 2*k + 5*u = 31 - g. Let v = k - -3344. Round v to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**4 - 65*o**3 - 1220*o**2 + 11600*o - 24000 = 0.\nAnswer: -15, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -29. Suppose -3*h - 1 = o, -h + 1 = o - 0*h. Suppose p + 3*y - 14 + r = 0, o*y + 64 = 4*p. Calculate the greatest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -47*u**2 - u + 1. Let m be n(1). Let v = m + 139\/3. Sort v, 1\/2, -0.2 in descending order.\nAnswer: 1\/2, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1064943630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1005, 952, 899, 846, 793?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -13*s**3 + 33*s**2 - 12*s - 21. Let p(q) = -3*q**3 + 8*q**2 - 3*q - 5. Let i(k) = 2*h(k) - 9*p(k). What is i(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14600224 divided by -3650056\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -0.13 (c) 0.7 (d) -5 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 16 - 14. Let x = t + 4. Let r(v) = 9*v**3 - 2*v - 9. Let o(l) = 4*l**3 - l - 4. Calculate x*r(b) + 5*o(b).\nAnswer: 2*b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 5:08 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + sqrt(784) + sqrt(49))*2)\/(-3*sqrt(7)*3) + ((sqrt(252)*1)\/sqrt(9))\/(-2*sqrt(196)).\nAnswer: -59*sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26760 and 60.\nAnswer: 26760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**3 - 2*o**2 - 11*o + 11. What is the units digit of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -807*h**3*j**3 + 9*h**3*j**2 + h**2*j + 191341*h*j**3 wrt h.\nAnswer: -4842*h*j**3 + 54*h*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*k**4*v - k**4 + 12*k**3*v**3 + 155*k**2*v**3 - 6*k**2*v**2 + v**3 wrt k?\nAnswer: 624*k*v - 24*k + 72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8*l - 6*l + 34 = 0, -4*l + 103 = 5*w. Let a(t) = 3*t - 50. Determine a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w + 45 - 8 + 4.\nAnswer: -16*w + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkdnndknnmddk. Give prob of picking 1 d and 3 n.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(645\/102 + (-165)\/(-935)). Let d be (-1 - 1\/(-1))\/(-2). Sort d, l, -3 in ascending order.\nAnswer: l, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/(2*45\/(-540) + 330\/252)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -343, -340, -335, -328, -319, -308?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 656 = -3*s, 4*s + 2*n + n - 870 = 0. What is the highest common factor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5204 - -5258. What is the highest common divisor of v and 396?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*m = 30*m + 370. Let p be (1 - 1)*(-1 + 2). Sort p, 4, m, -290.\nAnswer: -290, p, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 6840032 = -3*d, 5232699 - 1128679 = -3*s + 2*d. Let j be (-16)\/(-72) - s\/(-18). What is j rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d + 15. Let t(a) = 15*a + 31. Let s(q) = 6*t(q) - 13*x(q). Determine s(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -481 and 0.5?\nAnswer: 481.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 - 311722408?\nAnswer: -311722325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2142177746 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) 4 (c) 2 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(16\/5))\/d**(2\/31))\/(d**34\/(d**11\/d)) assuming d is positive.\nAnswer: d**(-3079\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 146 - 92 = 0. Let m(j) = -9*j + w*j - 5*j**2 - 30*j**2. Let u(o) be the third derivative of o**4\/8 - 2*o**2. Determine u(m(b)).\nAnswer: -105*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 172451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0406*9.\nAnswer: -0.3654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 318 + -315.87. Let p = s + -0.13. What is the smallest value in 6, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30703454 is divided by 3185?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - n**4 + (-424*n + 424*n + 315*n**2)*(5*n**2 - 2*n**2 - 2*n**2).\nAnswer: 314*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*m + m + 2*m)*(-4 + 4 - 2*m**2) + (m**3 - 8 + 8 - 3*m**2 + 3*m**3 + 3*m**2 + (m + 2*m - m)*(m**2 - 3*m**2 + m**2))*(-2 + 1 - 1).\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -63, -18 in descending order.\nAnswer: 0.2, -18, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -338*o**4 - 61*o + 3 + 7*o + 2 - 1110*o**4 + 205*o**4 wrt o.\nAnswer: -14916*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2)*4599*(1 - 2). What is the units digit of u\/(-14) + 1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1393, 2795, 4203, 5617, 7037, 8463, 9895?\nAnswer: 11333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.067 - 3.077. Which is the smallest value? (a) 2\/5 (b) t (c) -9 (d) 4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -972*k*m**2 + 49*k*m + 569050*k + 2*m wrt m.\nAnswer: -1944*k*m + 49*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7934 divide 1828566374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -191 in ascending order.\nAnswer: -191, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 1251*i - 389612. Determine q(-585).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + a - 1. Let o be h(3). Let l(n) = o*n + n - 2*n - n. Let s(z) = -z. Determine s(l(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 = -4*k + y, 0*k + 292 = 2*k - 5*y. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-595 - 109 + 63)*(0*y + y + y) to the form a + u*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597233877.\nAnswer: 3, 89, 2236831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(96\/4))\/((-10)\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:34 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 163, 323, 527, 769, 1043, 1343, 1663?\nAnswer: 1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 615 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12*b**2 - 982*b - 4929. What is y(-5)?\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 816 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -466651.6.\nAnswer: -139995.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 69*i**3 - i**2 - i - 1. Let t be f(-1). Let h be (3 - 4) + 3 - 34. Calculate the common denominator of (t\/h - 2)*-6 and -48\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 259*p**2 + 3 + 261*p**2 - p. Calculate the smallest common multiple of 23 and u(1).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m - 3*m**2 - 2 + 6*m + 2 to x + f*m + g*m**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:00 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20574 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*b = -90*b - 83*b - 959 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -101000002?\nAnswer: 100222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o - 105. Determine r(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 547, 1091, 1641, 2197, 2759?\nAnswer: 3327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*g - 210*g + 36 = -2*b, -2 = 3*b - g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 89 + 5?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 308702280*g - 617404580.\nAnswer: 5*(g - 61740458)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 0*v**3 - 3\/56*v**8 + 0*v**5 + 1\/6*v**4 + 0*v**2 + 0*v**6 + 0 + 0*v**7 - v. What is the third derivative of f(i) wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 6*c**2 + c + 3. Let v = -2 - -7. Let m = v - -1. Is 8 a factor of r(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cidu when four letters picked without replacement from dcuuusdccduiudupduc?\nAnswer: 35\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*y**2 - 5*y + 983*y**2 - y**2 + 2*y**3.\nAnswer: 2*y**3 + 889*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11237 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1143420 - 121343?\nAnswer: 1022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 74*g + 961. Let x be j(-12). Calculate the greatest common divisor of 949 and x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 52, -61 in ascending order.\nAnswer: -61, -18, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 2*j - 3992. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1562? (a) -4\/5 (b) 45 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24948879.\nAnswer: 3, 8316293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - s = 2*v - 42, 318*v - 5*s = -285*v + 607*v - 70 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = 3*y. Let x = -13\/28 - -3\/4. Suppose 5*o = -3*j - 17, 3*o + 5*j + 19 = 4*o. Which is the closest to y? (a) x (b) 3\/8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**4\/3 - 16*z**3 - 2*z**2 - 20*z. What is the smallest common multiple of (-4)\/(-10) - (-96)\/10 and n(13)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 32\/5 of a millisecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/208)\/((-3)\/(-14)*112\/32)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 10 = -8*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*r + 11530, 0 = 2*l - 15*r + 16*r - 4603. List the prime factors of l.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*1\/7*-2. Suppose 5*x + 3*w = -4, -4*x + l*w - 8 = 6*w. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a factor of 31432832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46240373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 - (-20)\/6. Suppose 21 = -0*i + y*i. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 + 4*s**2 + 2659*s - 7940. Give w(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 b when four letters picked without replacement from bowbb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z = 44*z + 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12209, -62121, -145307, -261767, -411501, -594509?\nAnswer: -810791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:43 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/40)\/((-6)\/4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000461364 to 7 decimal places.\nAnswer: 0.0000461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129522677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 1.8. Suppose -h + 5 = 3. Let w(x) = -x**3 + 5*x**2 - x + 4. Let c be w(5). What is the nearest to h in c, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(85) + (sqrt(85) + 1*sqrt(85))*2)\/sqrt(5) + ((-3*sqrt(102) + sqrt(102))\/sqrt(6) - (sqrt(17) - (sqrt(17) - sqrt(17)*4)**2)*6).\nAnswer: -3*sqrt(17) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -13 + 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a - 76. Let f(z) = z**3 - 27*z**2 - 7*z + 198. Let o be f(27). Calculate u(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 24\/(-30) - (-4)\/20. Let h = 2.9 + 1.1. Let l = h + -6. Which is bigger: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177.9999892 + -178. Round r to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3066*t + 2 + 3374*t - 2 as g + p*t and give p.\nAnswer: 6440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 5. Suppose -4*t = 3*z + 27 + 7, -4*t + 110 = -5*z. Let x be 80\/24*z\/(-10). Give u(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 26. Suppose -k + 2*r = 12, -5*k + 3*r - 2*r - 24 = x. What are the prime factors of k\/18 - (-2620)\/45?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10588*o + 529405. What is p(-50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2 - 1 + 3 - 4331*l + 4263*l. Let z(x) = -5*x**2. Give z(p(j)).\nAnswer: -23120*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4546959.\nAnswer: 3, 173, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 531296 rounded to the nearest one thousand?\nAnswer: 531000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004059784112 to 6 decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-8)*6)\/((-4)\/16). Suppose 3 = l - r*q, -l + 9*q - 5*q = -4. Solve 2*u + l*d - 9 = 3*d, 5*d + 8 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/5 + 0 + 56\/10. Suppose 3*k + 49 = 61. Suppose -4*g + 3*g = k*v - 119, w*g - 2*v - 661 = 0. What are the prime factors of g?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/3786 and -85\/114?\nAnswer: 71934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1792) + sqrt(1792) + 0 + sqrt(1792) + 4)**2.\nAnswer: 384*sqrt(7) + 16144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/250*(3 - 23854\/7950). Let n = -36104\/493396875 - b. Let g = -210187\/29790 - n. What is the common denominator of 47\/24 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g. Suppose g = -0*t - 2*t. Suppose -2*h - h + 201 = t. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z - z**2 - 2*z + 3*z**2 + 2. Let q(p) = p - 14. Let g(c) = c - 14. Let x(h) = -4*g(h) + 3*q(h). Let b be x(11). Give n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8838 by -391.\nAnswer: 8838\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 249121 + -174206. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crskckckrffcsk. What is prob of picking 2 s and 1 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 3 + -1 + 4. Let c be g*2*(-3)\/(-6). Suppose -c*p + 125 = -79. What is p rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 - 32*w**2 + 4*w + 6. Let h(f) = -f**3 - 5*f**2 + 1. Let i(n) = 5*h(n) - m(n). Give i(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 63 = -8*s + 12*s, 3*s - 47 = -p. Let y(h) be the second derivative of 1\/9*h**3 + 0 + 0*h**2 - 1\/36*h**4 + s*h. Factor y(c).\nAnswer: -c*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**4 + 5*c**4 - 3*c**4 + (c - c**2 - 2*c**2 + c**2)*(-23*c**2 - 106*c**2 - 27*c**2) to u*c**3 + w + r*c + a*c**2 + i*c**4 and give u.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.796608*0.1.\nAnswer: 0.0796608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**3\/6 + k**2\/2 - k. Let x be r(-3). Solve -4*h - 5*p = 10, 0*h + 4*p = -x*h - 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -102126 + -5?\nAnswer: -102132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-14)\/p*p)**(-27)\/(p**(-7)\/(p**(1\/2)\/p)))**46 assuming p is positive.\nAnswer: p**17687","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80529 and 163659.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**4 + 2*v**4 - 11*v**4 - 5*v**4 + 3*v**4 + 3*v**4 + (0*v**2 + 3*v**2 - 5*v**2)*(0*v**2 + 3*v**2 - 4*v**2) + 2*v**4 + 1 - 1.\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444427410 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751 = 13*a - 673 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**39\/a*a**35*(a*((a**(-14\/9)*a*a)\/a*a)\/a*a)**(-13) assuming a is positive.\nAnswer: a**(488\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39641.52s in minutes?\nAnswer: 660.692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 786080, 786082, 786086, 786092?\n\"Answer: v**2 - v + 786080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/2)*k)\/k)**(1\/23)\/(k**(-1\/2)\/k**(-2\/3)))\/(k**(-2\/7)\/k**5)**(-3\/4) assuming k is positive.\nAnswer: k**(-7939\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4059208g in tonnes?\nAnswer: 0.0000004059208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -51. Let z(g) be the second derivative of 3*g + 0 + u*g**3 - g**2 + 0*g**5 + 1\/15*g**6 + 0*g**4. Differentiate z(c) with respect to c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5*l**2 + 29*l - 77*l - 85*l - 66*l - 36*l as s*l + c + v*l**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 8) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*a - 450367, 3*g + a = 272929 + 177430. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -295\/8 (b) 2\/17 (c) 0.3 (d) 6.5 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 40. Let j = -12.0706 + 0.0706. Let l = j + c. Is -1\/3 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + -6. Let g be (q\/4)\/(3\/(-190368)). Let f = -466656 + g. What is f rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-32)*(-544)\/(-51)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -4751.05.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 - 1 + n**2 + 0 - n - 3*n**2. Suppose 2*u - 1 = 5. Is o(u) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 51*c**2 - 82*c - 694. Calculate the lowest common multiple of a(49) and 295.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-18)*4\/4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/26 and -2\/1313.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + ((-7436)\/77)\/(-13)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -996.0005972 - -996. What is r rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38688779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-5)\/t*t\/t**(-1\/4))\/(t**3*t**4) assuming t is positive.\nAnswer: t**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**2 - 31 - 3*s**2 + 30 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.07036 minutes to seconds.\nAnswer: 2884.2216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) - (-18)\/(-5). Let m(t) = t**2 + 12*t - 8. Let x be m(-13). Let y(z) = 1 + 25*z**2 - x*z + 25*z**2 - 51*z**2 + 3*z. Determine y(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 4. Let f be n(3). Suppose 2*l + f = 3*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/25*20\/6*(-15)\/(-20)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10886 in 0.02, -1.4, 1\/2, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1836285 and -197\/1066230.\nAnswer: 33053130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/39)\/r*r**23*r*(r*((r**10*r)\/r)\/r)\/r**(-13) assuming r is positive.\nAnswer: r**(1792\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by 1?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, 5, -4, -5, -24, 0 in ascending order.\nAnswer: -170, -24, -5, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + (sqrt(108) + -2*sqrt(108)*2 + sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108) + -2*sqrt(108) + 5 - (-5 + (sqrt(108) + 1)*-1)))**2.\nAnswer: 144*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 65\/3 and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -339, -657, -975, -1293?\n\"Answer: -318*x + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -52*f - 1. Let g(i) = 3*i - 1. What is 3*g(x) + y(x)?\nAnswer: -43*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-147)\/(-756) - (-1)\/(-9))\/(9\/24). What is the second smallest value in -3, 1\/10, -1\/3, -0.038, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pypypypnhupq. Give prob of sequence uuy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.086236388\nAnswer: 0.344945552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401014 - -3314?\nAnswer: -342200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 12\/(-4))\/(34\/238).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 21 (b) 5 (c) 34 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1031838 or -2\/109?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269036 - -112623. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.10403 rounded to 1 dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36268492 is divided by 7092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**6\/20 + 7*d**4\/6 - 7*d**2 - 23*d. Let q(t) be the first derivative of c(t). Find the second derivative of q(o) wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 238299349\/8 or 29787418?\nAnswer: 238299349\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 23*w**2 - 415*w - 7616. What is h(-14)?\nAnswer: 2702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 3. Let h be f(2). Suppose 0 = -m + h + 4. Suppose t - 5 + 3 = 0. Sort m, t, 0 in decreasing order.\nAnswer: m, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + 26*g**2 + 285*g + 20. Calculate s(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -934*l**2 - 656*l**2 - 1683*l**2 - 2*l + 541*l**2 in the form k*l**2 + p*l + q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10343*-0.3.\nAnswer: -3102.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = -0*d - 9*d. Let b = d + 65. What is the second derivative of -42*c - 5*c**2 + b*c**2 + 10*c**2 wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l**3 + 69*l**2 - 40*l + 81. Give u(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -313, -580, -921, -1336, -1825?\nAnswer: -2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, s: 3, h: 6}. What is prob of sequence hhss?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694.1139 millennia to centuries.\nAnswer: 6941.139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 a factor of 6838369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*q + 13. Let g(r) = r**3 + 6*r**2 - 7*r - 8. Let d be g(q). Suppose w - 3*p - p = d, 106 = 4*w - p. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400336 is divided by 308.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42437869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*j**4 - 8*j*o + 11*o + 3 wrt j.\nAnswer: 92*j**3 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(((-3)\/(-3))\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-6) + 2 - 30\/(-10)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3954.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 10*k + 2. Let j be t(-9). What is the units digit of (-21 + -58)\/(1\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.62801ug?\nAnswer: 0.00000262801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17140 (base 9) to base 13\nAnswer: 5493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 12922 = 36*m - 12*m. What is the remainder when m is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 12*l**2 + 26*l - 175. Let w be -19 + (-5070)\/(-270) + 238\/18. What is r(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -997 - 2423. Let b = -850 - s. Factor 1\/4*l**b - 1\/4*l**4 - 1\/4*l**3 + 0*l + 1\/4*l**2 + 0.\nAnswer: l**2*(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 2, g: 1, j: 2, q: 1}. What is prob of sequence qgj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63.458 + -0.442. Let q = k + 64. Which is the third biggest value? (a) q (b) 1 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 2705*c - 35 = 2707*c, 5*c + 20 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Suppose -22 = -8*p + 34. Let n(l) = -7*l + p*l + l. Let v(w) = 15*w. Let d(c) = -12*n(c) + v(c). Give d(k(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.294 - -1.27. Round f to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/27)*(g**(2\/13)\/g)\/g)\/((g*g**(-2\/3))\/(g**(2\/11)*g)))**(2\/29))**(5\/6) assuming g is positive.\nAnswer: g**(-20690\/335907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54685232 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174069?\nAnswer: 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52687249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 24\/16)*2\/(-3). Suppose -4*k + m*q = 1394, 4*k = -2*q + 290 - 1694. Round k to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12989244?\nAnswer: 2, 3, 137, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13081\/10 - 1308. What is the closest to 0.1 in a, -2, 4, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -9 - 4) + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 5*n**2 - 4*n + 4. What is x(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18386 = 18*z - 2908. Calculate the greatest common factor of z and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 4 = -5*u + m, 5*m - 7 = 2*u. Let x(k) = 1 - 3*k**2 + k**3 + 0 + 0*k - 3*k. What are the prime factors of x(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1652716341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1521 and 66456.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 2*v - 4*v + (-6 + 3 + 4)*(2 - 2 + 2*v) + 4 + 5*v - 4)*(-v + 0*v - 2*v) in the form f + i*v + u*v**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28358940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from zpzzzzzzzzzzzzzzzzpp.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - c + 2 - 5, 2*l - 3*c = -5. Let -k + 4 + 8*k + l*k**2 - k = 0. Calculate k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 3*n + 2*n)*(0 - n + 0 + (-2*n + 4*n + 0*n)*(-1 + 5 - 9)) + 0*n**2 - 2*n**2 + 0*n**2 + 0*n**2 + n**2 + 2*n**2 as m*n**2 + j + l*n and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 4*q. Let a be (q\/3)\/(-4 - (-33)\/9). Solve a = -5*l - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oadv when four letters picked without replacement from {v: 2, a: 1, o: 7, i: 1, d: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/76)\/(4\/(-2))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231183 = 27*m + 24*m. Does 39 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12415180, 24830378, 37245578, 49660780?\nAnswer: 62075984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(40\/(-42))*12. Suppose 3*l = -w + 9 + 22, -5*l + v = -4*w. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**2 + 14 + 16*d - 7 + 3 + d**3. What is the tens digit of g(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4514 + -23?\nAnswer: -4541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/319, 16, -5, 224, -2?\nAnswer: 2\/319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*k = 16, 5*n - k - 23 = -43 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 193*p**2 - 8888*p + 262. What is q(-76)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 302*k - 235648.\nAnswer: (k - 448)*(k + 1052)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-6) + ((-224)\/(-42))\/(-16)*396\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -835 (base 11) to base 13\nAnswer: -5c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 + 30 = o. Round o to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erye. Give prob of picking 1 y and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1 + 2 - 3 + 3 + (4 - 5 - 3)*(2 - 2 + 2))*(-8*w**5 - 5*w**5 + 2*w**5).\nAnswer: 44*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 0.181 (c) -3 (d) -0.0334\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(8) - sqrt(48)\/sqrt(6))\/sqrt(4) - ((5*sqrt(28)\/sqrt(2) + sqrt(14))\/sqrt(7))**2.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134517 or 836?\nAnswer: 836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383923, 768972, 1154021?\nAnswer: 1539070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13a8 + 44?\nAnswer: 141c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 14. Let y be r(0). What are the prime factors of ((-4992)\/7)\/(-3) - (-4)\/y?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/4 + 4\/8. Let y be 48\/(-22) - (3 + p). Is 1 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 2166 - 1331. Suppose -4*o + j = -3*r, -2*o - 3*r + 139 = -0*r. Solve -62*n - 249*n**4 - 252*n**2 + 245*n**4 + 386*n - o*n**3 = 0 for n.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*d = -21 + 7, 0 = d + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 - (-1 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {s: 3, u: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -2c44?\nAnswer: -2c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*x - 46*x - 42*x + 181*x - 7*x**2 - 41*x.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 6) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 1. Let r = 5 + f. Suppose 3*y = r*y. Solve y = 2*b - 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1764 = 3*k - 2*h, 3*k - 4*h - 1755 = 9. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-8)*n**(-10))\/((n**(-2)\/n)\/n*n)**(-16\/5))**(-18\/11))**(-5) assuming n is positive.\nAnswer: n**(-2484\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-122)\/(-8) + 1\/(-4). Let m = -10 + 2. Let d = c + m. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1274 and 83\/196?\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.139 + -0.139. Let x = 16 + -29. Let a = x - -17. What is the closest to h in -0.43, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5\/21 (b) 0.5 (c) 1\/133 (d) 2\/3 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7750 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2433?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -110000101101 (base 2) to base 16\nAnswer: -c2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38713464?\nAnswer: 2, 3, 59743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 911716 times -0.9\nAnswer: -820544.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 = 4. Let a be 0\/(-2) + (-2)\/(-2). Let d(c) = a - 4*c**l + 3*c**2 + 1 + 7*c. What is d(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 15*s - 5 - 18*s - s - 3*s + 3*s + (1 - 3 + 0)*(-4*s + 6*s - s) + 2*s - 4*s + s + 2*s - 2*s + 3*s to j*s + q and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5539297?\nAnswer: 17, 23, 31, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4, 11, -19463 in descending order.\nAnswer: 11, 1, -1, -4, -19463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 11:24 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (-2 + sqrt(242)*-2)) + -2 + (sqrt(242) - (-1*sqrt(242) - sqrt(242))))**2.\nAnswer: 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 0.2054, -3\/4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595593 and 622554?\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t**3 - 1. Let s be w(1). Let b = 20 + 3. Let d = b - s. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -716 + 741. Calculate the remainder when 63 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 282\/9)*12\/(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 7*b**2 + 9*b - 12. Calculate v(6).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8734916.\nAnswer: 2, 29, 257, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3859268?\nAnswer: 2, 7, 137831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 1. Let b = k - 12. Suppose g = c - 21, -c - 3*g + 11 = -2*g. Solve -3*u + 10 = -3*t + 4, -2*t - b*u = c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c. Let s = 4 - 4. Suppose 0 = 3*x + 5*v + 20, 4*x + s*v - v - 4 = 0. Let j(o) = 2*o + x*o - o. Calculate j(n(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2740 + -101386\/37. Is z >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 + 19\/(-35). Let p = -0.12 + -2.88. Let c = -29293\/39052 + 1\/9763. Put p, q, c in decreasing order.\nAnswer: q, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/345)\/(330\/1650)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2179.\nAnswer: 5\/2179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + (sqrt(6300) - (sqrt(6300) + sqrt(6300)*5 + sqrt(6300)))\/(-5*sqrt(81))*-5)**2.\nAnswer: -200*sqrt(7) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11312 and 1062.\nAnswer: 6006672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 840. Let s be (-8 - -6)\/(4\/q). Let i be 7\/35 - (-11)\/s. Which is the biggest value? (a) 2 (b) 2\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*r = 56, 2*v + 49*r - 54*r = -77. Sort 5, 1, v, -14 in increasing order.\nAnswer: v, -14, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + d + 1. Let z(o) = -19*o**2 - o - 9. Give 3*c(v) + z(v).\nAnswer: -16*v**2 + 2*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 15*c + 15. Solve a + 0*a = -c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 7076?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 2\/3, -5, 1\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 41?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 + 15*n**2 + 27*n - 108. Let h(b) = -b**2 + 2*b. Suppose 8 - 5 = 3*m. Let o(p) = m*g(p) + 9*h(p). Factor o(z).\nAnswer: -3*(z - 3)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-5 + 4 - 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86177 and 242801.\nAnswer: 1609527829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21311.9 - 21312. What is the closest to f in 0.3, 4, 61, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezre when four letters picked without replacement from {z: 3, r: 8, e: 6}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - 6211b1?\nAnswer: -62119b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Suppose 0 = w*i - i - 16. Let k = 10 + -1. Solve -i*j + 3*q + 3 = 0, j - k = -3*q + q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**5\/3 + 11449*a**4\/6 - 4430927*a**3\/6 + 521339839*a**2\/6 - 581466365*a\/6 + 32273006\/3 = 0.\nAnswer: 1\/8, 1, 269, 892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 11*l**2 + 5*l - 1. Let v be z(-6). Suppose 442 = v*h + 2*s - 0*s, h - 3*s - 85 = 0. What is the greatest common divisor of h and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (3 + -127)) + -13 + (-11 - -21 - 3).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-336)\/196 + 2*1. What is the closest to -1 in -3, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uak. What is prob of picking 1 u and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - 15*w**2 - 20*w + 306. What is m(9)?\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6 and -12\/241.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 221103304 (base 5) to base 11\nAnswer: 5a3871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 53699*a**2. Let j(b) = -560*b**2. Calculate y(j(q)).\nAnswer: 16840006400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -431 divided by -45764.\nAnswer: 431\/45764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3936?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6875*t + 6907*t = -288 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 4*c - 3. Let b be h(-2). Solve -b - 5 = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:54 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8. Let f(u) = -2. Let i(t) = 18*f(t) - 4*g(t). Let x(w) = -w**3 - w + 11. Let r(k) = 11*i(k) + 4*x(k). What is the second derivative of r(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 24 = 3*a. Suppose 5*x = 5*j - 30, 4*j + 8 = x - 5*x. Is a + (-6 + j - -1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 29 = 5*r + h, 5*r - h - 21 = 0. Let b(k) be the first derivative of -r*k**2 + 6 - 7 - 11 + 7*k**2. Let s(q) = -2*q. Give b(s(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26206.39ng in milligrams?\nAnswer: 0.02620639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, z: 5, v: 1, c: 4}. Give prob of picking 1 v, 1 z, and 1 c.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 2 - 2 + (4*j - 6*j + 3*j)*(557 - 36*j - 557) - j**2 + j**2 - j**2 + (0*j - 3*j + 4*j)*(0*j - j + 3*j) as p*j + t + c*j**2 and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 - 136. Suppose 4 = -0*u + 2*u. Suppose u*t + 7*i = m*i + 95, 4*i - 60 = -t. What is the greatest common factor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 4. Suppose 5*m + 111 = 4*o, 4*o = -o + f*m + 132. What is the common denominator of o and -5\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2457202 is divided by 2457196.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 + b**4 - b**2 - 2*b**4 - 12 + 359*b - 292*b - 2*b**3 as i*b**2 + f*b**3 + s*b**4 + g*b + n and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.88065 nanograms in milligrams?\nAnswer: 0.00000388065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 380000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 22 - 10, 0 = -5*t + g - 448. Let m = -81 - t. Differentiate m + 14 + 2*i**2 + 5*i**2 wrt i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405*q + 86 = 10211. Solve -4*y = -5*x - 13, 24*y - q*y = 5*x + 28 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 116202*u - 116203*u = -2*t + 5, 19*t = -u + 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9492401 (base 10) to base 16.\nAnswer: -90d7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9468*h - 608272 + 608272 as o*h + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*g - 0*g - 348. Suppose 3*n - 13 = 2*c, 3*n + c = 4*c + 12. Suppose -p = -0 - n. What is the remainder when g is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*g + 106*g + 205*g)*(-3*g**4 + 0*g**4 + 5*g**4) - 2*g + g**5 + 2*g.\nAnswer: 659*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 o when four letters picked without replacement from iioiooii.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 810*p - 276*p - 497*p - 286*p + 0.\nAnswer: -249*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*p + 25 - 7 = 0, -559706*a + 4*p = -559702*a + 36 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 6*l - 3. Let t be (-6)\/(-18)*(-5 + 2). Let h be t\/1*3*1. Calculate r(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102*o**2 - o**4 - 102*o**2 + (-1 + 2*o + 1 + (0*o + o + 0*o)*(3 - 4 - 1) - 3*o + o + 0*o)*(7*o**3 + 0*o**3 - 2*o**3).\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 - (0 - -3 - (191 + -191))) + 7.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -17. Let i = 13 + d. Is ((-164)\/(-8))\/(i\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6*z - 2. Let v be n(-7). Suppose 3*y + 2*k = 298, v*k + 305 = -3*y + 6*y. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2343, 4722, 7101, 9480?\n\"Answer: 2379*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 11701?\nAnswer: -5\/11701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 132, 438, 1170, 2550, 4800, 8142?\n\"Answer: 37*u**3 - 9*u**2 + 74*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -119, -214, -285, -326, -331, -294, -209, -70?\n\"Answer: m**3 + 6*m**2 - 120*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 14047.\nAnswer: 154517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -1. What is the remainder when (z - 1*-40) + (-1 - 0) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110130320 - -1?\nAnswer: 3110130321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -58, 9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*d - 6, 0*d - 5*d = 3*m - 10. Let q be 5\/10 + (-22)\/(-4). Solve 3*j - 6*j - q = m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjdp when four letters picked without replacement from {d: 1, i: 4, j: 3, p: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89825 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -132, -257, -382, -507?\n\"Answer: -125*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 101559, 203149, 304745, 406347, 507955?\n\"Answer: 3*v**2 + 101581*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2279 is divided by 784?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a + 1132 - 264 + 893 + 539 - 12*a**2.\nAnswer: -12*a**2 + 14*a + 2300","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 25, 17, -15, -77, -175, -315?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f1 - d0bf?\nAnswer: -d6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 324577994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7, -0.0188, -2, -3, 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 816 + 874. What is the least common multiple of n and 6?\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {g: 7, u: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h - 24. Let b be w(5). Let d = -39 - b. Suppose -8*o + d = -6*o. Solve 0*m - o = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -43. What is the closest to z in 3, -6, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 + 5*z**2 - z**2 - 8*z + 3 - 1. Let v be y(8). Solve -3*t + 12 = d, v*d - 6*t = -t - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:31 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k + 439 = 4*g, 5*g = 2*k - 852. Suppose -2*s = 4*z - 7*z + k, 0 = 2*z + 4*s - 266. List the prime factors of z.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -160*(-4 - 5\/(-20)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 + -0.35. Let y = -7 + 12. Let t = y + -2. What is the closest to 2\/3 in 0, p, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/20 and -9\/275.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 11*y**2 - 10*y + 3. Let t be a(-10). Let v be t\/(-6)*32*50. What is v rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 12 (c) -1509\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -366 - -1166?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7137\/4961 + -60\/41. Let i = y - -281\/1573. Let g = 0 - -0.1. Which is the closest to 1? (a) 1 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 1, w: 1, a: 1, b: 1}. What is prob of sequence jba?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -30) + (-7 - -2) + -10 + 14 - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28 + (-59 - -82))*(-6552)\/10. What is the highest common factor of 840 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37017 + -37015. Factor -2\/11*v**k + 52\/11*v - 338\/11.\nAnswer: -2*(v - 13)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 252476 or 1?\nAnswer: 252476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 9*i + 10. Calculate the least common multiple of (-2)\/(-10) + 14\/5 and s(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 3a1?\nAnswer: -3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.2, -0.06, -0.3, -7027?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -77541762.\nAnswer: -77541771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*o = r - 10, 0 = 4*r - o + 7. Let b be 1*(48\/15 - 3). What is the closest to r in b, -3\/2, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(245)*2)**2.\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 959315*r**2\/3 - 76690279216*r - 76690598988.\nAnswer: -(r - 479658)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o**3 - 6*o**2 - o + 112. Let k(m) = 4*m**3 + m**2 - 2*m - 2. Give h(z) - 2*k(z).\nAnswer: -2*z**3 - 8*z**2 + 3*z + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3578 (b) -8 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1536 and 468.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 6 + -1)\/(-1). Let f = -672 + 671.6. Which is the fourth biggest value? (a) 1\/18 (b) s (c) f (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 2*d**3\/3 - d**2\/2 + 3*d + 71. Let t = 4 - 2. Let g be n(t). Solve g = -2*w + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(76) - (5*(sqrt(76) - -1*sqrt(76)) - sqrt(76))) + -4)*3 - (-1*-3*sqrt(76) + -5 + 0 + sqrt(76)))*-4)**2.\nAnswer: 12544*sqrt(19) + 954128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 7) + -11 + (-5 + 3 - 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)*1 - sqrt(624) - sqrt(234)\/(sqrt(6) - sqrt(24)))\/(sqrt(24)\/(sqrt(88)\/(-2*sqrt(11) + sqrt(11)))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0713195871 to 3 dps.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.07 (b) 6\/35 (c) -3 (d) 10 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5185469 to the nearest integer?\nAnswer: 2277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2136 divide 1337895703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1206, -1364, -1520, -1674?\nAnswer: -1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1681*q**2 + 208440*q - 491. Give u(-124).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70103\/93428 - 8\/23357. Factor 1\/4*a**3 + 0*a - 1 + y*a**2.\nAnswer: (a - 1)*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 13*m + 15*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/83? (a) 14 (b) 480 (c) 2\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 8770.7681?\nAnswer: -1754.15362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11 + r + 6*r**2 + 7*r**2 - 9 - 4*r**2. Let j(h) = -h**3 + 2*h**2 - 2. Let f be j(2). Is 12 a factor of s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 7*a - 8. Let v be f(-14). Let u be (3\/2)\/(9\/60). What is the greatest common factor of u and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.9830069 hours?\nAnswer: 0.0826252875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 60*r - 1. Let w be n(-1). Let s be (-208)\/6*(-2 - -5). Let l = w - s. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460487 = 14*q - 231435. What are the prime factors of 4\/(-6) + q\/33 + 5?\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -657020 divided by -10108?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b8 (base 16) in base 7?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 373399?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvbsctvc. Give prob of picking 1 b and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -503*c. Let d(v) = -12614 + 12614 + 3*v**2. Give r(d(m)).\nAnswer: -1509*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5\/3 + 596*z**4\/3 - 22496*z**3\/3 + 21904*z**2\/3.\nAnswer: -4*z**2*(z - 74)**2*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/12*9\/(-3) + 6128. Suppose 0 = 2*m - 3294 - h. Suppose -7*n = m - 653. What is n rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18641789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200 divided by 700?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907\/6 - 3\/(-24)*-4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 27. Let d be (2\/6)\/(3\/18*1). Suppose -d*b + b = -5*x + 160, 5*x = -3*b + 160. Calculate the highest common factor of s and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-207)\/483)\/((36\/70)\/(-1)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4429041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15e58 (base 16) in base 7?\nAnswer: 522324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4 - 7*b**3 + 45*b**2 + 7*b - 44 = 0 for b.\nAnswer: -11, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1*m*(m\/m**4)\/m*m*m**6\/(m*m**(-2)) assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.875 and 4.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**2 + 12*x. Let y(v) = 120*v**2 + 128*v. Let n(m) = 32*g(m) - 3*y(m). Let a(o) = -81*o. Give n(a(l)).\nAnswer: -52488*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9))**(9\/8)*y**0*y**(1\/5) assuming y is positive.\nAnswer: y**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -285.83 - -287.83. Let l = 0.1 + -0.3. Sort l, z, 8 in increasing order.\nAnswer: l, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*h - 217441 - 125721 = 82*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 981914 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -6. Let t be (2\/10)\/(l\/(-5)). Factor 2\/3*h**2 + t*h + 0 + 1\/3*h**3.\nAnswer: h*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26624)\/3584)\/((6\/(-21))\/(-1)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.747015l to millilitres.\nAnswer: 4747.015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -11*i**3\/6 - 83570*i**2\/3 - 759475*i\/6 + 189875\/3 = 0.\nAnswer: -15190, -5, 5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -0.1, 0.06, 2.93?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*k**3 - 35*k**3 + 16*k**3 + (-12*k**2 - 7*k**3 + 12*k**2)*(1 - 1 + 1) to the form a + z*k**3 + n*k + s*k**2 and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32711849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31091936 and 3886492?\nAnswer: 31091936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 95253449 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80951 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5484.3 < 1.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2458.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**5\/60 - g**4\/6 - g**3\/3 - 10*g**2. Let x be j(-2). Suppose -x*n + 230 = 3*n. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from idibufuiduiiuiidubu?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((705\/6)\/47)\/((285\/72)\/19).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -15*b**3 + 24*b + 24. Let d(x) = -3*x**3 + 5*x + 5. Determine -24*d(i) + 5*l(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 1, e: 1, x: 1}. What is prob of picking 2 z and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26374 take away -0.2?\nAnswer: 0.46374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3433 + 2437. Calculate the remainder when o is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19198*j**5*r - 10*j - 7*r - 4 wrt j?\nAnswer: 383960*j**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1270.683g?\nAnswer: 1270683000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4048 divide 114971296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14596024, -14596017, -14596010, -14596003?\n\"Answer: 7*u - 14596031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151696728405 + -0.6?\nAnswer: 1151696728404.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -866 divided by 12\nAnswer: -433\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x*x*x**(-1\/2)*x*x*x)\/x*(x**(-14)*x)\/x)**(-27) assuming x is positive.\nAnswer: x**(459\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/9027721 and 55\/24424.\nAnswer: 72221768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 63.7 (b) -0.46 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 155251 - -0.09\nAnswer: 155251.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -4 (b) -1\/3 (c) -15 (d) 3\/38 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 604*p**2 + 1997*p - 106809. Determine u(607).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 49 - 153 = -x, 2*b + 5*x - 220 = 0. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -19*s + 46*s - 16*s - 2 - 9*s. Let u be k(-4). Let x(w) = -2*w - 14. Determine x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 12 = -2*s, 3192*s - 18 = -5*o + 3191*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*h + 109*h - 39*h - 28*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22140 + -320?\nAnswer: -22500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/2526 and 133\/15257040.\nAnswer: 15257040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q\/(q**(1\/3)\/q))))\/q)\/(q*q**(-4)*q))\/(q*q*q**(-1\/6)\/q*(q**24\/q)\/q*q) assuming q is positive.\nAnswer: q**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16819013\/670 + -25103. Calculate the common denominator of p and -101\/14.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*i + 2*g, 5*i - g = -4 + 2. Let j be (-1 - -2) + 27\/(-9). Let o be ((-2)\/i)\/(-1 - j). Solve -2*l = o*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 2081498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 311 - -854. What are the prime factors of z?\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d - 1 - 3*d - 2*d. Let z be y(-7). Suppose i - 270 = -4*i. Calculate the highest common factor of i and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002233 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -z - 28, -10*k + 6*z = -6*k + 32 + 50 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {a: 4, e: 2, g: 1, h: 2, w: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 14 = -4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*y - 40 + 10 + 145. Let r = -2.06 - -2.1. What is the second smallest value in -2, r, y, 2\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(2 + sqrt(19)).\nAnswer: -sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 0.5, -1\/2, 0, 0.0389?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 2*l**2 + 4*l**2)*(-2*l - 3*l + 4*l) + 2*l - l**3 - 2*l + 2*l**3 + 4*l**2 - 4*l**2 + l - l - 2*l**3 + (52 + 4*l**2 - 52)*(-2*l - 1 + 1).\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Let y(v) = -v**2 + 5*v + 3. What is the lowest common multiple of (2\/(-3))\/(8\/(-12)) and y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.1, -7, 1, 2\/123.\nAnswer: -7, -0.1, 2\/123, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.9. Let q = -39.13 + 40.9. Let p = 0.23 + q. Which is the third smallest value? (a) p (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(40\/(-90))\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128403 (base 12) to base 6.\nAnswer: 10310403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -277*g + 49. List the prime factors of v(-3).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20244.22 and 160025.\nAnswer: 180269.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 10, 5*p + 5*z = -36 - 9. Let q(y) = -2*y**2 - 16*y - 8. Let r be q(p). Suppose -h + r = -9. Calculate the remainder when 59 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 503465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**2 + 5\/2*j**5 + 0*j + 0 - 10*j**4 + 25\/2*j**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10862508, -10862488, -10862468, -10862448?\n\"Answer: 20*m - 10862528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12406 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1200 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 31*d**2 - d + 46. Suppose -5*m - 50 = -205. Let w be a(m). Solve x - w = 3*x + 3*r, 4*x + 5 = -r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 34, 63, 100?\n\"Answer: 4*p**2 + 9*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -z + 12, 0 = -5*m + 2*z + 8 + 4. Suppose m*d + d + 5 = 0. What is the remainder when 14 is divided by 4 - (0 - -1)*d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 17*t = -52. Which is the biggest value? (a) t (b) 2\/13 (c) 4\/3 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -26*o**2 + 0 + 361*o - 7 + 57*o**2 - 368*o + 41*o**2. List the prime factors of h(-3).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 926491, 926490, 926489, 926488?\n\"Answer: -m + 926492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 2*y**2 - 63 + 66 + 3*y**2.\nAnswer: y**2 - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6969\/13 + (-107)\/1391 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128609074 = 490*j + 132*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20\/9, 0.5, 6, 14\/9 in decreasing order.\nAnswer: 6, 14\/9, 0.5, -20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/17 - 434*a**2\/17 + 23326*a\/17 + 23762\/17.\nAnswer: 2*(a - 109)**2*(a + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -128925766 rounded to the nearest 10000?\nAnswer: -128930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 1*sqrt(99)*1 + sqrt(99) - sqrt(99))*-3)\/((sqrt(1764)*-2)\/sqrt(4)).\nAnswer: 3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 4*v**2 - 5*v**2 + 3*v - 1 - 2*v**2. Determine q(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/4)\/(((-52)\/48)\/13). Let r(p) = 2*p**2 + 3*p. Let c(t) = -t**2 - 2*t. What is y*r(l) + 5*c(l)?\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1800) + sqrt(1800) + (sqrt(1800)*1 - sqrt(1800))))\/((2*sqrt(50)\/sqrt(5) + sqrt(10) - sqrt(10))*6).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5398 + -2776. What is the lowest common multiple of 138 and p?\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -3\/2, 57, 2\/17, 18\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 - 8*t**2 - 4*t - 11. Let u be h(10). Suppose 0 = g - 469 + u. Round g to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85\/8? (a) 2\/7 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33676*y**3 - 47967*y wrt y?\nAnswer: -202056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2372154 is divided by 69769?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27456215 (base 9) in base 14?\nAnswer: -1b2d772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 2, 1119, 3 in increasing order.\nAnswer: 2, 3, 4, 5, 1119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 8*w - 2. Let o be m(6). Let j = 25.4148 - 24.7148. Which is the third biggest value? (a) j (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veveelvelv. Give prob of sequence le.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81923 is divided by 2275?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/10062 and -61\/2.\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -6*f + 44 + 100, -2*f = 8. Calculate the highest common divisor of d and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 14, -5 in decreasing order.\nAnswer: 14, 9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.047401431 to four decimal places.\nAnswer: -0.0474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 - 2*u**2 + 3*u**2. Let g(s) be the first derivative of 0*s**2 + 2\/3*s**3 + 11 + 0*s. Calculate g(n(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7 - 4*d - 3 - 13*d**2 + d**3 + 11 - 5. Let k be h(13). Let c be ((-7)\/(k\/12))\/(3\/4). Solve 10 = 7*o - c*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 19. Suppose 0 = -w*b - d + 110, -5*b - 4*d + 28 = -160. Let j = -10 + b. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {w: 2, o: 1, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001648 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23234 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 + 3992*r**2\/9 + 30958*r\/3.\nAnswer: -2*r*(r - 2019)*(r + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139592?\nAnswer: 2, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -32 - (-1002 - -1072)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 3*z - 3*z)*(-28*z + 144*z - 24*z).\nAnswer: -92*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 3522240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1811\/780 - 33\/13. Calculate the common denominator of 151\/114 and k.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j + 11*j - 651*j - 127*j.\nAnswer: -799*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i - 1. Let n be x(1). Suppose 5*u + 4*r = 27, -4*r = 4*u - 10 - 14. List the prime factors of 3\/((u\/n)\/1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-12)*101235\/3970?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17097*k**2 - 48000*k**2 + 9392*k**2.\nAnswer: -55705*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/3)*f\/f**(-23))\/(f**(1\/6)*f*(f*f**(-11)*f)\/f) assuming f is positive.\nAnswer: f**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -18876400 to the nearest one hundred thousand.\nAnswer: -18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 496715.4 centuries?\nAnswer: 4967154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/7*-1*1. Let m = -89 + 200. Let p = 106 - m. What is the third biggest value in i, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*a**2\/3 - 58*a\/3 + 144 = 0. Calculate a.\nAnswer: -8, 27\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**2 - 2. Let s(q) = -3*q**3 - 10*q**2 - 1368*q - 4. Determine -2*f(o) + s(o).\nAnswer: -3*o**3 - 1368*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = 22. Let a = q - -14. Suppose 0 = -3*s - 2*f, 2*f - 3 = 3. Sort a, s, -5.\nAnswer: -5, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 5:37 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:36 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5796*g - 53654 + 175370 = 0 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12838 + -12950.145. Let p = a + 0.145. Let s = 111.999913 + p. Round s to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 4:05 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = 21*b - 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -115.3. Let g = i - -114. What is the nearest to g in -2\/7, -0.2, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214769327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7769444 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - 4*z + 4*z)*(1671*z - 14 + 1 + 14) to j*z**2 + m + q*z and give j.\nAnswer: -3342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10901 = -54*f - 1991. What are the prime factors of (f\/75)\/((-3)\/(-2595))?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000648 divided by -1000648?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6178 divided by -6178.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 57*i**3 + 328*i + 161. What is the derivative of j(m) wrt m?\nAnswer: 342*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 48143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-2 + 708\/(-8)). Let d = z + -126. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 + 13)\/((-85)\/(-17))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from {d: 1, a: 1, b: 2, f: 2, i: 1, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 26*i - 24*i - 12, 4*h = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 38 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**3\/6 - q**2\/2 - 6*q. Let z(j) = j - 1. Let o be z(7). Let m be b(o). Let v(f) = -f**3 + 4*f**2 + 6*f - 1. Determine v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1) + (-2 - -9) + (9 - 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac5 (base 13) to base 14.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 7*u**2 + 6. Let a be (-2)\/12 + (-315)\/54. List the prime factors of n(a).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2264040236?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -5\/48?\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 13. Let s(f) = -f**2 + 7*f - 5 + 0 + 1 + 0. List the prime factors of s(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.18582896 and -4.\nAnswer: -4.18582896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 62*b**2 - 5. Let k(m) = -4*m**2. What is c(k(i))?\nAnswer: 992*i**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -79a?\nAnswer: 7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8252*r - 8252*r - 6039 - 2*r**2.\nAnswer: -2*r**2 - 6039","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k**2 - 8*k + 184. Let w(r) = 3*r**2 + 3*r - 61. Let g(h) = 4*t(h) + 11*w(h). What is the derivative of g(x) wrt x?\nAnswer: -14*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24597.\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 3:03 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/l)**(10\/3))**(2\/17)*(l*l\/((l**7\/l)\/l))\/l**(-2\/15)*(l**0)**(-1\/11) assuming l is positive.\nAnswer: l**(-806\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmw when three letters picked without replacement from {m: 1, p: 2, t: 1, w: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 2:00 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -2*p - 3*x, 2*p - 83 = -0*x - 5*x. Is 29 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccce when four letters picked without replacement from ekcceeecceeeeceeeeee?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1184 divided by -16.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60\/8)\/((-2)\/(-4)). Let o(q) = q**2 - 6*q + 12. Let u be o(n). Suppose -3*v + 3*c = -u, 5*c - 13 - 219 = -4*v. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 59. What is the closest to 4\/9 in -0.1, r, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-536746.\nAnswer: -161023.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-7\/8))**23 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + 638\/(-77) - (12\/7 - 2). Solve c = -2*f + 2, -3*f + 6 = -5*w + 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = 365430 + 56735. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -6119?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-152)\/(-57))\/(-4 - (-16)\/3). Solve 18 = -r*m - 23*q + 27*q, -16 = 4*m + 2*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3652 divide 5284541353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/39)\/(85 - 419860\/4940).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8344281 millilitres?\nAnswer: 0.0008344281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -411343442 (base 6) to base 11\nAnswer: -3aa2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w - 6 = 0, 0 = -4*u - 2*w + 2. Suppose 0 = p - 3*p + 4*c, -4*p + u*c = -12. Suppose -p*f + 30 + 54 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-25)*(-562)\/(-1967).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2126*t + 1078*t - 29 + 1075*t to g*t + b and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 436 = -4*h - 11*p, 3*p = -4*h + 412. Calculate the lowest common multiple of h and 53.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeh when four letters picked without replacement from eheeehe?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osmor. Give prob of sequence rm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1975 divided by -395.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 9*i + 43. Is k(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 94. Sort -1, i, 3 in decreasing order.\nAnswer: 3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, z: 9}. Give prob of picking 2 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 4*o + 0*o)*(-2*o**2 + o**2 + 8*o**2).\nAnswer: 42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-2\/5))**(3\/19)*(q\/(q\/(q**(-1)*q)))**(-6\/5)*(q**(-2\/7))**(-45)*((q\/q**1)\/q)**47 assuming q is positive.\nAnswer: q**(-22453\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 301 + 169. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*b - 5528 - 2427 = 3385 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10798*y - 4308?\nAnswer: 10798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.099 - 0.001. Which is the closest to 0.6? (a) -3\/4 (b) z (c) -0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -682489.1944164 - -88\nAnswer: -682401.1944164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 833, 812, 795, 782, 773, 768?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*n**3 - 13*n**3 - 14 - 35*n**3 + n**4 + 88*n**3 - 2*n**2 in the form z*n**3 + k*n**2 + p + o*n**4 + x*n and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 6. Let t be 1 - 2*(-2)\/4. Suppose 4*u - 5*a = 1, u - 2 - t = 2*a. Calculate s(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10) + 169*(-5504)\/11180.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let p = o - 0.9. Which is the closest to -2\/7? (a) p (b) 1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v = 3315 - 1429 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 32 + 7 = -2*t, -4*x = 5*t - 100. What is the third derivative of 2304*y**2 - x*y**3 - 2267*y**2 - 58*y**3 wrt y?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 6 (c) -0.2 (d) -2\/11 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44, -87, -130, -173, -216, -259?\n\"Answer: -43*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and 34 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/21*(-54)\/(-72)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 94 - 0?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a second in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*g + 9 - 2 = -43, -11*z + g = 72 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1315461540478179\/1967 - -668765353910. Let p = u + 45418. Let f = -49223\/31472 - p. What is the common denominator of 19\/18 and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*z - 8953, j + 2236 = -4*z + 5*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 17*g**3 + 3479*g**2 + 2259*g + 3065. Give u(-204).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 12) + -18 - 32?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/289724986 or -1?\nAnswer: 1\/289724986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25671 - 25660. Solve 3*j - d = 3*l + 4*j, 3*l = -3*j - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let l(z) = -172*z. Calculate k(l(x)).\nAnswer: 172*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naaennppakbaeae. Give prob of sequence ab.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-70))\/((-24)\/10)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(231) + 3*(-1*sqrt(231) - sqrt(231)))\/sqrt(7))\/(sqrt(22)\/(-5*sqrt(98))))**2.\nAnswer: 91875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -13*m - 104. Let f be s(-8). Are f and 2\/35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -60 and -36.\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5731 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (98\/4)\/(1\/8). What is d rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v + 32. What is the greatest common divisor of v and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r = -390. Suppose -4*v + r = v. Solve 3*o = 2*o + 2*j - 1, -4*o - v = 3*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 16) to base 3\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-3\/7))\/y)\/(y*y**(8\/7)) assuming y is positive.\nAnswer: y**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*936.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 3*k**4 + 12 - 13 - k**3 - k as g*k**4 + q*k**2 + l*k**3 + r + u*k and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -71cbb (base 13) to base 14\nAnswer: -54654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-28) - 26\/(-56). Which is smaller: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32 + -1)\/(3 - 2). Let w(u) = -s + 4*u**2 - 4*u + u + 27 - u**3. Give w(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23949609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + 97. Is d at least 99\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 + -8. Let o(h) = 6 + 207*h - 614*h + s*h + 199*h. Let w(y) = -5*y. Give o(w(v)).\nAnswer: 25*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1\/4*z**3 - 7\/4*z**2 + 4 = 0. What is z?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-357)\/6*(-11)\/13. Let r = 50\/13 - b. What is the common denominator of r and -13\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 8*a**2 - 7*a + 10. Let d be k(-7). Let v = -16 + d. What is the units digit of 2 + (0 - (v + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (111\/407)\/(153\/(-34))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4327.061nm to millimeters.\nAnswer: 0.004327061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 11. Let p(q) = 1. Let u(c) = 5*p(c) + r(c). Let x be u(-5). Solve 3*i - x = 0, 0 = -5*w + 4*w - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 - 4*h - 3. Let a be 2\/(3 + -1) - 18. Let b = 14 + a. Determine p(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/378*(-35)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 - 24465*p**3 + 9*p**2 + 73389*p - 48930 = 0 for p.\nAnswer: -8155, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 9. Let z(a) = -a + 5. Let t(h) = -4*b(h) - 9*z(h). Let i be t(11). Let s be -4*(-4)\/16*i. Put -2, -3, s in descending order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+0.0264029\nAnswer: 0.1264029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b (base 14) in base 12?\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, p: 1, n: 1, b: 4, s: 2}. Give prob of sequence nbnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1033*t**3 + 863*t**2 - 76889*t - 27 wrt t.\nAnswer: 6198*t + 1726","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0.091218.\nAnswer: -1.908782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203\/28*(-88)\/(-11)*11 is divided by 565.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 11:19 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-26) + (-985)\/(-65). Let o = -49 + 44. Let z = -5 - o. Solve 6*q - q + n = z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40864 divided by 8\nAnswer: -5108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 21 + 9 = 0. Let c = q + 10. Let o = 68 - 36. Calculate the greatest common divisor of c and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-1 + sqrt(500))*-5 + sqrt(500) - (sqrt(500) + sqrt(500) + (2 + 1 + sqrt(500) - sqrt(500)))*-5) + 0)**2.\nAnswer: 2640*sqrt(5) + 18484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - 43*a - 2. Let j be h(8). Let f(l) = l**3 + 26*l**2 + l + 32. What is f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53 - 1374*y**2 + 136 - 42 - 53 + 49*y wrt y.\nAnswer: -2748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26547 by 5.\nAnswer: 26547\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2*r + 2*r**2 - 1\/3*r**3 - 2. Suppose -b + 1 = -3*l + 19, 2*b = -5*l + 19. Determine a(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5044, 4602, 4160, 3718, 3276, 2834?\nAnswer: 2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, a: 2, d: 2, m: 1, s: 1}. What is prob of sequence zd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3\/18 + 2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/7 - 181879840*i\/7 + 4135034524803200\/7 = 0?\nAnswer: 45469960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544 divided by -6.\nAnswer: -272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2583969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 24 - -10) + (2 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/10 and 25\/383?\nAnswer: 3830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 13868*z**2 + 2019608*z + 74320272.\nAnswer: 2*(z + 74)**2*(z + 6786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 54 = 0. Let a = -19 - -34. What is the remainder when c is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b. Let h(g) = -g - 4. Let o(t) = -3*t + 5*t - 20 + 25. Let c(y) = 5*h(y) + 4*o(y). Calculate s(c(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 + 3. Suppose -36 = 10*u - 6. What is j(u)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c2c (base 15) in base 4?\nAnswer: -222312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*c - 12, 4 = k + 5*c + 18. Let z = 7 - k. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14017, 14008, 13993, 13972, 13945?\nAnswer: 13912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1227645 (base 9) to base 10\nAnswer: 668291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 815*h. Let i(t) = 273043*t. Determine y(i(g)).\nAnswer: 222530045*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - b - 8. Suppose 216 = 28*s + 8*s. Calculate the least common multiple of g(6) and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 3*g**2 - 233426*g + 466859. Calculate q(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 2*n + 4522*n**2 - 2266*n**2 + 2*n - 2255*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28052 - -25818.3. Round t to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t - 2. Suppose 5*c - 2*c + 3 = 0. Let i(b) = 36690 + 36687 - 73376. Give c*r(u) - i(u).\nAnswer: -u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75404*q + 158499*q - 78430*q - 1831*q**2 wrt q?\nAnswer: -3662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -342 + 341.887. Let u = x + -0.087. Put 5, 25, -0.1, u in decreasing order.\nAnswer: 25, 5, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*m + 21. Let o = m + -13. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 544456932 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/144*(-1)\/5*-2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*a**4 + 41*a**2 + 4*a + 4 wrt a?\nAnswer: -324*a**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7253938ml in litres?\nAnswer: 0.0007253938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*w = 2*y - 19, 5*y = -2*w + 43. Let l(g) = 11*g + 13 - 6 - y. Let j(v) = -v**2. Determine l(j(s)).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 0.8612666?\nAnswer: -0.8612666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 296149768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -37. Let d = t + -15. Suppose d = 4*q - 3*z + 1865, 3*z + 1400 = -3*q + 5*z. What is q rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + x**2 + x + 1. What is the smallest common multiple of 11 and v(3)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 47*b - 220 = -48*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**3 - 22*m**2 - 9*m - 142. What is the units digit of f(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -21*w**3 - 6*w**2 - 5*w + 4. Let y(l) = -32*l**3 - 8*l**2 - 7*l + 6. Give 7*m(a) - 5*y(a).\nAnswer: 13*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -69. Which is the third smallest value? (a) 1\/5 (b) -0.3 (c) 6 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 328*k**7\/21 + 4*k**3\/3 + 10*k**2 - 436*k. What is the second derivative of a(v) wrt v?\nAnswer: 13120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3314, 5644, 7950, 10220, 12442, 14604?\n\"Answer: -2*n**3 + 2344*n + 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 218. What is the units digit of h(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282187 is divided by 321?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 + 51920*y**2 + 194519188*y + 161841714072 = 0. Calculate y.\nAnswer: -5911, -1158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 39867.\nAnswer: -32\/39867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + (43 - 45).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987 is divided by 244?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, -3, -7, -11, -15, -19?\n\"Answer: -4*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9940566.\nAnswer: 2, 3, 1656761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677675.3 millennia to centuries.\nAnswer: 6776753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 11*g = 288. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54065.\nAnswer: 5, 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-105)\/33 - (-6)\/33. Let c be k*(-5 - -3 - -3). Suppose 49*i - 14 - 48 = -13. Put i, 2, c in ascending order.\nAnswer: c, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Let m be (-2)\/((32\/(-3))\/4). Which is bigger: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 941 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6347200 to the nearest 100000.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/3 (c) 30 (d) -2\/9 (e) 0.1 (f) -3680\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30*(-20)\/1500)\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 9*m - 110 = 89, -5*m - 106 = -14*t + 27 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5356 + -5356.3. Which is the closest to -1\/3? (a) 10 (b) w (c) 0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 divided by 171?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + sqrt(5) + sqrt(5) + -2 - (4 + sqrt(45))))**2.\nAnswer: 14*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 24. Let k = p + -7. Suppose 0 = -2*c - 5*w + 14, -3*c + k*w = -2*c - 16. Solve z - c = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782 + y**3 - 570 + 752 + 18*y**2 - 777.\nAnswer: y**3 + 18*y**2 - 1377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79866338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 3921*k**2 - 1181*k**2 - 1185*k**2 - 1552*k**2.\nAnswer: -4*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -254866 at least -7391136\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1*122\/488\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92023640*b**3 - 2*b + 61737807?\nAnswer: 552141840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 19 - (33 - (22 - 23)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1*y*y\/y**(-3))**28 assuming y is positive.\nAnswer: y**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33100350?\nAnswer: 2, 3, 5, 149, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000657495529 to 6 decimal places.\nAnswer: 0.000657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.717146km?\nAnswer: 717.146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**3 - 11*t**2 - 6*t + 12. Let r be d(5). Let p = -220 + r. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)*(-6)\/24*-2. Solve d = 15*c - 12*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**6\/30 - 79*j**5\/20 - 186*j**4 - 4320*j**3 - 48384*j**2 - 5*j - 449. Determine w, given that s(w) = 0.\nAnswer: -24, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6480.967 + 6484. Let n = g + -0.033. Let u = 12 + -11. What is the nearest to 0.1 in u, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3040697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a8 + d93?\nAnswer: 9da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*n = -304*n - 12 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(320) + (sqrt(320) - (sqrt(320) - (2 + sqrt(320))))))**2*-2.\nAnswer: -2568 - 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (-57)\/(-9) - (-37)\/3. Calculate the greatest common factor of 276 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.6 + -39.6. Which is the nearest to -0.1? (a) 3\/7 (b) 2 (c) 9 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159*k + 120*k + 95*k - 380 - 109*k wrt k.\nAnswer: 265","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y. Let m(o) = 5127*o. What is r(m(q))?\nAnswer: -10254*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 8*b**2 - 14*b + 9. Let q be a(9). Let x = -35 - q. Suppose 5*l - x - 14 = 0. Solve l*g - 4 = 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p - 15*p + 78. Solve -p*v + 4*v + 11 = -3*o, -5*o + 4*v = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 657446202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -49 + 15 + m + 13 + 19. Calculate q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -335 and 15630.\nAnswer: -5236050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 5*o**2 + 6*o - 6. Determine q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144601*a**3 + 2234796*a**2.\nAnswer: -867606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4.9 (b) 0.086 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**3 - 4*f**2 - 6*f - 2. Let a(t) = -7*t**3 + 7*t**2 + 11*t + 4. Calculate 6*a(o) + 11*c(o).\nAnswer: 2*o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from aaeeheheeah.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*b - 3*b - 4*b**3 - 36*b + 4*b**2 + 15*b to g*b**2 + y + q*b + a*b**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 27 = 9*n - 64126*h + 64125*h, n + 21 = 5*h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99.7 + -94. Let y = k + -6. Which is the second smallest value? (a) y (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 223? (a) -5 (b) 0.09 (c) -1\/2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24757 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 2814?\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1*(-12)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**3 - 8*t**3 - 9*t**3 + 3*t**3.\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -229*k**2. Let q(t) = 7*t + 1. Calculate q(d(l)).\nAnswer: -1603*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 13*h + 17*h + 20583 = 0, -5*v - 5*h = -20565. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/12070 and -38\/78455?\nAnswer: 156910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -21*l**5\/20 + l**3\/6 - 5*l + 4. Let f(y) be the first derivative of x(y). List the prime factors of f(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**6\/10 + 31*k**5\/20 - 17*k**4\/3 - 10*k**3 + 245*k + 5. Determine o, given that m(o) = 0.\nAnswer: -2\/3, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 51 - 20 = 3*t - 28, 35*r = -t - 186 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 141550 = -26*c. What are the prime factors of c?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425, 3925, 13433, 31955, 62497?\nAnswer: 108065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.467753782 rounded to 2 dps?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*p**2 - 2 + (3 - 2 - 3)*(-p**2 - p**2 + 4*p**2) - 2*p + 2*p + 5*p**2 + 0*p**2 + 4*p**2 - 3*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2. Let t be g(1). Suppose -72 = -t*n + 103. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 - 870\/7. Let r = 10 + -10.4. Which is the closest to u? (a) -2\/9 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -15739.\nAnswer: -1\/15739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283917886.\nAnswer: 2, 7, 20279849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2288.69815 to 1 decimal place.\nAnswer: 2288.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (0 - -8 - (-22 + 32)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (6 - 2)) + (-21 - -28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -9) + 12 - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 34 = -1309. Suppose 5*o - w = 60. Let t = -41 + o. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7991.4*33.\nAnswer: 263716.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3412 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.08\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 107431510*i\/9 + 214862996\/9.\nAnswer: 2*(i - 2)*(3*i - 53715749)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 819643 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454930?\nAnswer: 2, 5, 7, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 4:35 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 57*j**2 - 28*j + 29. Let l be -4 + 5 - (-11 - 697\/(-17)). Calculate g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -386181, -386186, -386195, -386208?\n\"Answer: -2*v**2 + v - 386180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1564.1233 and 42.\nAnswer: 1606.1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4 + 33*k**3 - 10*k**2 - 149*k + 338014.\nAnswer: 8*k**3 + 99*k**2 - 20*k - 149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154019126 divided by -911.\nAnswer: 169066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pllovfvj. What is prob of picking 2 l and 1 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.07 (c) -2\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2*o + 4)*(3 + 0 - 2) - 2*o + 5*o + 0*o - 4 + 4 + 2*o)*(-4*o - o + 0*o)*(-2 + 2 - 1)*(0 + 8 - 3).\nAnswer: 75*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154687 is divided by 499.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10202 + -10198. Solve t + 0*t = -w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 + 0.02. Let f = -15\/14 - -3\/2. Suppose 116 = -29*u - 0*u. What is the nearest to u in f, 1\/6, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 16 = -3*j, -5*j - 3*q = -20. Suppose 5*h + 35 = 5*n, 0*n + n - 2*h = j. Calculate the remainder when 12\/16*4 + 17 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Suppose -3*f - 24 = f. Let q(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + 12. What is f*l(y) + 2*q(y)?\nAnswer: -2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 1:52 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y**2 + 6*y**3 + 8*y - 27*y**2 - 27*y**3.\nAnswer: -21*y**3 + 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 6 = 4702*y - 4697*y, 5*n + 4*y = -13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**5\/20 - 7*a**4\/12 - 5*a**3\/6 - 4*a**2 - 124*a. Determine i(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210958.\nAnswer: 2, 11, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjk when three letters picked without replacement from {j: 4, k: 6, v: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -791127*c**5*t + c**4*t - 15*c*t - 11301*c wrt c.\nAnswer: -15822540*c**3*t + 12*c**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 2:01 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -0.2, 9, 1, 4\/7, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from ncciooyccoiccozo?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**(-4)\/(a*a**(-1\/3))**4*(a**(-2\/7)*a*a)**(-6\/5)\/(a*a*(a**2*a)\/a*a\/((a**(-6)\/a)\/a)) assuming a is positive.\nAnswer: a**(-2071\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 942050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 323588663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9725367031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-10 - 19)) + -9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by (24\/192)\/((-6)\/(-2544)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 17*m**3 - 3*m**2 + 60*m**3 - 5*m**4 + 10*m**4 + 73*m**3 - 6*m**4 to the form g*m**3 + d*m**2 + l + k*m**4 + v*m and give g.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2742 = -q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418819798.\nAnswer: 2, 29, 37, 195163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (28\/364)\/(1377\/(-221))\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {z: 1, e: 2, b: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2 + 51208*u + 102400 = 0 for u.\nAnswer: -12800, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(6) + sqrt(150)) + sqrt(24))\/(sqrt(64)\/(sqrt(8) - -2*sqrt(8))).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -1) + (-25 - (39 - (35 + 6)))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 13*m - 2*m + 44*m.\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 8. Suppose i = -2, 0*x + 2*i = -x - 9. Let w = k + x. Calculate the remainder when 10 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*y + 78*y. Solve 0 = -g - 2*s + 4, 2*g + 2*s + y*s = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141376 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)\/f)**(-11)\/(f*(((f\/(f**(2\/7)*f*f*f))\/f)\/f)\/f*f*f*f**(2\/9)\/f*f) assuming f is positive.\nAnswer: f**(2339\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -4 + 32\/1. Let s = -18 - -15. Let w be ((-20)\/s)\/(8\/12). What is the greatest common factor of w and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 44. Let w = 38 - y. Suppose -g + 6*c + w = c, 0 = -2*g - c + 22. Calculate the highest common factor of 60 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -9. Let d be 2 + v - (-1 - 1). Let n(c) = c**2 - 4. Let u be n(-3). Solve d = -y + u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(-3)*l*l**(-1))\/(l**(2\/5)*l)**(-7))\/((l*l**7)\/l**(1\/2)*(l\/l**0)**(-30)) assuming l is positive.\nAnswer: l**(323\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -679, 2 in decreasing order.\nAnswer: 2, -2, -6, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -45987 + 8*r**2 + 45987. Let x(w) = 3*w + 5. Let d(c) = -c - 2. Let k(h) = 5*d(h) + 2*x(h). Calculate k(v(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.85 + -3.85. Which is the second biggest value? (a) k (b) 2 (c) -0.2 (d) 2\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*k**3 + 248*k - 91*k**3 - 248*k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -23. Let y = -11 + 8. What is the third biggest value in 0.4, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 11*d**2 + 11*d + 9. Let o = 109 - 105. Let p be (-15)\/(-6) + 38\/o. Give c(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7416\/(-216) - -19 - (-12 + 1)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/84*7)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 152710592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -44752733.4 to the nearest 100000.\nAnswer: -44800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x. Let f(a) be the first derivative of -55*a**2\/2 + a - 8777. Determine -2*f(q) - 11*t(q).\nAnswer: -11*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 6. Let v be 2*k\/(4\/(-6)). Solve w - v*s + 2*s = -10, 4*s = -2*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**1\/c))**6*c**0\/(c*c\/((c*c\/(c\/((c**3\/c)\/c*c)))\/c)) assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 1)*4\/40. Let j be (2\/3)\/(-7*(-32)\/168). Which is the closest to j? (a) l (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41406465, 82812932, 124219399, 165625866?\nAnswer: 207032333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1732 * -14\nAnswer: 24248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/8)*w*w)\/w**(-3))\/(w**(-22)\/w*w*(w*w\/w**2)\/w) assuming w is positive.\nAnswer: w**(225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5562 = -16*h + 5338 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3308*g - 3866*g + 60 - 60 to q + n*g and give n.\nAnswer: -7174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -10. Put 1, f, -4 in descending order.\nAnswer: f, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1127, -4516, -10099, -17822, -27631, -39472?\n\"Answer: 9*q**3 - 1151*q**2 + q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2306284 and 5189139.\nAnswer: 20756556","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/37 and 55\/21.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -7, -2 in descending order.\nAnswer: 4, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 12*q + 18 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83210 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffeneff. Give prob of picking 2 f and 1 n.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8375511582 to the nearest integer?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10 + 6 = r, -6*z = -3*z - 4*r + 7*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 631*s**5\/5 + s**3\/3 + 1083*s**2\/2 - 540*s. Find the second derivative of m(x) wrt x.\nAnswer: 15144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 7064?\nAnswer: -705b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1679*r**3*u**3 - 5*r**3*u**2 + 6051*r**3 wrt u.\nAnswer: -5037*r**3*u**2 - 10*r**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcfbjfs. What is prob of sequence cbsf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 287, 944, 2195, 4232, 7247, 11432?\n\"Answer: 32*r**3 + 9*r**2 + 4*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 901 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 + 1320*w**4 - 39328*w**3 + 36696*w**2 + 39332*w - 38016 = 0. What is w?\nAnswer: -1, 1, 32, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - o - 2. Let v(t) = -5*t**2 - 14*t - 15. Let c(h) = 2*k(h) - v(h). Is c(-6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28487 - 13096. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8774 + -39\nAnswer: 8735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3935*t**3 - 1972*t**3 - 1968*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.18 + 2. Let y = 2.82 - h. Sort y, -1\/2, 1\/4.\nAnswer: -1\/2, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5492 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: Put 5, 471, -7 in increasing order.\nAnswer: -7, 5, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 267 - 141 + 50 + 460 - 50*z wrt z.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let c(a) = 12*a**2 + 9*a**2 - 10*a**2. What is j(c(y))?\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.41 + 17. Let a = r - 0.09. What is the third smallest value in 3, a, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1077\/70 - -207\/14. Which is the fourth smallest value? (a) m (b) -4 (c) -9 (d) 7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.16 + -0.2. Let c = 94034.104 + -94035.06399949. Let v = c + a. Round v to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1758, 16713, 58114, 139185, 273150, 473233, 752658?\nAnswer: 1124649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 11. Let i be j(9). Let a = i - 10. Solve -u = u + a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 10*c**2 - c + 10. Let z be r(10). Suppose z = -0*l - l. Let n = 7.2 + -6.3. What is the closest to l in n, -5, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 575 - 149. What is the remainder when z is divided by ((-33)\/22)\/((-1)\/16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 26*g**2 + 1728*g + 6921. What is y(-4)?\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -177 * -52.\nAnswer: 9204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7 (b) 2\/31 (c) -0.2 (d) 4 (e) 15.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4503 - 151 = 136*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 633*k - 20. Let v(b) = 294*b - 9. Let z(n) = 10*c(n) - 22*v(n). Determine z(1).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-513)\/(-3510) + (-3)\/10. Put -4, 3, a, 0.4 in ascending order.\nAnswer: -4, a, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3511 + 3514. Which is the third smallest value? (a) -5 (b) 80 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 1 - 18*q**3 - 12*q**2 + 19*q**3 + (4*q - 4*q + 4*q)*(4*q**2 + q**2 - 2*q**2) + (q + 2*q**2 - q)*(-2*q - q + 4*q).\nAnswer: 15*q**3 - 9*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/12*((-1520)\/(-90) - 16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92805492.\nAnswer: 2, 3, 13, 367, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 6792?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -17 + 21 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 19 = 3*j, 13 = -0*j - 2*j + n. Let z be (-34)\/8 + j\/(-24). Which is the nearest to -2\/7? (a) 3 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1718 - 1715. What is the third biggest value in s, 4\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2251 + -1588. Let i = s - 663.2. Put -1\/22, i, 2 in ascending order.\nAnswer: i, -1\/22, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 57. Let c = -1 - 2. Let i = c + o. What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-9*1)\/1. Let k = -124 - -220. Find the common denominator of -127\/6 and (o\/k)\/(3\/126).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*y + 1115 = 0, o - 2*y + 563 - 194 = 0. Let q = 522 + o. What are the prime factors of q?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**3 - 2*j**2 - 13*j - 8. Let k(h) = 6*h**3 - h**2 - 14*h - 8. Let b(n) = 6*k(n) - 7*y(n). Let o be ((36\/6)\/(-3) - (2 + -3)) + -6. Calculate b(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 517, -0.8, -0.5, 0, 1\/122?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 (base 13) in base 9?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134114201 + 4?\nAnswer: -134114142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 992772 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00106561021 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.71 - -2.63. Let f = 56 + -55.14. Let h = t - f. What is the third biggest value in 3\/4, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/108)\/(4\/(-18)). Suppose -16*w + 80 = -8*w. Let y be ((-7)\/21)\/(w\/6). Which is the nearest to 1? (a) t (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -41375111?\nAnswer: -41375116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18370 and 24215?\nAnswer: 532730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a kilometer in meters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - (6 - (19 - 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.0865 minutes in microseconds?\nAnswer: 2885190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001010011 + 1000110?\nAnswer: 101010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/9*(-34182)\/13293\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 c when four letters picked without replacement from {c: 5, y: 7}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19077+2234936853\nAnswer: 2234917776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + o + 2. Let i be n(0). Let a(m) = 8345*m**2 - 9*m + 18. Let j be a(7). Suppose 28791140 + j = i*s. Round s to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14390.6776 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5\/2 - 3*u**4\/2 + 72*u**3 - 120*u**2 - 192*u = 0. What is u?\nAnswer: -8, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73 - 81*s**3 + 300*s**3 + 191*s**3 - 124 with respect to s.\nAnswer: 1230*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 497 + -454. Let m(s) = -k - 37 - 6*s + 7*s**2 + 71. Let w(f) = 10*f**2 - 9*f - 13. Calculate 7*m(z) - 5*w(z).\nAnswer: -z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66, 118, 168, 216, 262, 306, 348?\n\"Answer: -a**2 + 55*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -578, -921, -1248, -1559?\nAnswer: -1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - r - 1. Let s(q) = -5*q**2 + 10*q - 20. Let a(m) = 6*k(m) + s(m). Let x = 7 - -2. What is the remainder when x is divided by a(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9 = -3*d, -d - 4*d - 21 = 2*w. Suppose -5*h + 45 = 2*b, 4*h + b = w*h + 18. Suppose -h = 4*v - 7*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 325 - 226. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 3*t, 8*g + 2*t = 5*t + 39 + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 177*t**2 + 721*t + 543.\nAnswer: -(t - 181)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1584) + (-6*(-2 + sqrt(1584) - sqrt(1584)) - sqrt(1584)) + 3 - ((1 + sqrt(1584))*-1 + sqrt(1584) - (2*sqrt(1584) + 3))))**2 + -3.\nAnswer: 22800*sqrt(11) + 167422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-119 - -44) + 44 - (1 + 13)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x**3 + 0*x**5 + 0 + 1\/72*x**4 + 1\/315*x**7 + 0*x + 7*x**2 - 1\/120*x**6. Factor h(p).\nAnswer: p*(p - 1)**2*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2732, 2.7, 4 in ascending order.\nAnswer: 2.7, 4, 2732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -221, -414, -563, -644, -633?\n\"Answer: 4*l**3 - 2*l**2 - 215*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -143, -507, -1123, -1997, -3135, -4543, -6227?\n\"Answer: -j**3 - 120*j**2 + 3*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 4. Let d(w) = -14*w - 12. Let a(y) = -6*d(y) - 17*k(y). Let l be a(2). Is 54 + 0 - (3 - l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293269922?\nAnswer: 2, 11, 13330451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169012 by 58.\nAnswer: -2914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 964, 1935, 2930, 3961, 5040, 6179?\nAnswer: 7390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 15*b - 24. Let z(g) = -g + 1. Calculate 3*q(s) + 72*z(s).\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 37 + 76 - 1 to h + a*n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1462 > -10.988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27807879 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 578 + -d?\nAnswer: 56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/7375 and -81\/200.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 14*p + 6*p)*(-4*p + p - 11*p)*(-4 + 4 + 2) + 14 + 35*p**2 + 39*p**2 - 72*p**2.\nAnswer: 114*p**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p + 51 = 0. Let m be 5\/20 - p\/(-84). What is the nearest to -0.1 in 1\/7, m, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -81, -166, -295, -474, -709, -1006?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162480872 to the nearest integer?\nAnswer: 12747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**5\/3 - 350*l**4\/3 - 922*l**3\/3 + 1988*l**2\/3 - 240*l = 0.\nAnswer: -4, 0, 1\/2, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*s + 4 + 0 = 0, 0 = -4*g + 5*s + 9. Let a(p) = 7*p**3 - p**2 - p + 1. Let i be a(g). Solve r = i*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = 10, h - 4*u - 466 = 0. Suppose 0 = 2*w + 2*d - 1172, w + 4*d = h + 125. 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 6*h**2 + 11*h + 10*h + 12*h - 33*h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2158 (base 11) to base 14\nAnswer: -1074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1088) + 2 + (sqrt(1088)*3)**2 - (-6*(1 + sqrt(1088) - sqrt(1088)))**2).\nAnswer: 8*sqrt(17) + 9758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5990*i - 42626 = -7363 + 108497 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-12)\/420)\/(3\/(-42)))\/(274\/440). Is 1 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - 0) + 7*960\/(-168) + 24?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(0 - 11 + 2)*(6*h**3 + h**3 + 8*h**3).\nAnswer: 135*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-100)\/(-2))\/5)\/(1\/(-80)). Let p be 1300\/(-1 + 3 + 1608\/i). What is p rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = 3*c. Suppose c*u - 3428 = 2836. Let w = u - 1465. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 585891635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 + 34475*b**3 + 297320938*b**2 + 3266704704*b + 2969418240 = 0.\nAnswer: -17232, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 6*a + 4. Calculate the remainder when 7 is divided by k(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-40) + 58\/(-10). Let m(s) = 13*s**2 + s - 23. Is m(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88843 divided by 10\nAnswer: 88843\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-42)*-6*(-8)\/32. Put l, -3, -20 in descending order.\nAnswer: l, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 526490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 3*q + 4, -3*m + 19*q = -33 - 55 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 53*r - 206. What is the remainder when c(47) is divided by 12 + 7\/4 + 27\/(-36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*14*(-2369)\/6440*40?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*k + 13. Suppose 0 = l - k*l + 1040. Suppose 0 = o + 4*o + 3*m - l, -3*o - m = -160. Calculate the greatest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 19 = 2*h, 2*h + 3*h = -5*f - 10. Suppose f*o = 2*o + 16. Let d = 605 - 602. Solve c = -d*c + o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-12 - 1) + 12 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17\/(170\/1065)*(4 + (2 - 0)) is divided by 158.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5258067 (base 9) to base 11\nAnswer: -1652223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 7335 = -4425. Let y be 4 + -2 - q\/(-7). What is the greatest common factor of y and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*c**4 + 26*c**4 - 30*c**4)*(c - c + c)*(-2 - 4 - 8).\nAnswer: 1386*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccyc when four letters picked without replacement from {j: 1, e: 1, c: 1, q: 2, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-4 - -11) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -28, -44, -66, -94, -128, -168?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 7\/2*l**2 + 5\/3*l**3 - 1\/4*l**4 - 3*l + 2. Let m be i(6). Let a(y) = -y**3 + 3*y**2 + 2*y. Give a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u**2 - u + u**2 - 33*u - 2*u**2 + 3 - 16*u**2 to the form q + n*u + k*u**2 and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 369 in -3, -2, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6956 is divided by 582?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -29. Suppose 2*u - 2*f = -2*u + 12, 2*u = 5*f + n. Solve 0 + 21 = -4*d - 3*q, -21 = 5*d + u*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 426675 and -16831.\nAnswer: 409844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*c = 16, -2*c + 5 = 1. What is the nearest to -2\/5 in n, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2011, 4, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkggggxgknnxnkg. What is prob of picking 2 k and 2 n?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 174 = -168 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1379*m**2 - 37*m + 44*m - 7*m to x*m**2 + p*m + h and give x.\nAnswer: -1379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-18)*9*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, k: 3}. What is prob of sequence kr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -0.04, 5, -0.34, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -727 + 729. Which is the nearest to l? (a) -0.03 (b) -4 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*u**2 + 29*u**2 + 30*u**2 - 27*u**3)*(-u - 5 + 5).\nAnswer: 27*u**4 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*v - 953*v**2 + 920*v**2 + 7*v as m + r*v**2 + w*v and give w.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 15 = 3*r. Let w be (-657)\/803 - (2 - 3). Which is the second biggest value? (a) w (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 49. Suppose -w + 83 = -q. Calculate the remainder when w is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 231 = -0*r. Let d(j) = -3*j - 19. Let l be d(-10). What is the greatest common factor of l and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 23, -0.5, 7, 2, 5, -6 in ascending order.\nAnswer: -6, -0.5, -0.4, 2, 5, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6789599 is divided by 450.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 143*5\/165*12\/(-20)*5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21221 - 11011?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * -23051.\nAnswer: -645428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.6 or 32505?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 241412916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 7. Suppose 3*q = -4*k + 2*q + 11, q + 9 = k. Calculate the least common multiple of k and p(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14887 - 4*q**2 + 2*q**2 - 21*q + q - 14887.\nAnswer: -2*q**2 - 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10148, -10502, -10884, -11306, -11780?\nAnswer: -12318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 27. Let i be s(-16). Suppose -i*c + c + 8 = 0. Let r be ((-120)\/(-9))\/(-5) - c\/(-3). Put -1, r, 4 in increasing order.\nAnswer: r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**5\/35 - o**4\/21 - 2*o**3\/21 + 2*o**2\/7 - 3*o. Determine y so that p(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 3*r - 55. Let m(s) = s**3 + 2*s**2 - 8*s + 8. Let l be m(-4). What is the remainder when r is divided by -6*((-70)\/(-20) - l)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:12 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 84, 163, 242, 321, 400, 479?\n\"Answer: 79*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 76\/8)*10\/(-5). Let i(n) = -56*n**2 + g*n - 4*n + 2 + 65*n**2 + 12*n. Is i(-7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535011 and 250185?\nAnswer: 3849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/3))**13*w**(3\/4)*w**0 assuming w is positive.\nAnswer: w**(217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 215*o + 2728. Determine t(-13).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2636*l - 1027*l - 1381*l.\nAnswer: 228*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83931 = 35*z - 46514. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gae when three letters picked without replacement from aaaeeggqeaaa.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5 + 5 + 5*c. Let s(h) be the third derivative of -h**5\/30 - 7*h**2. Determine g(s(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 60*o + 720. Let q be m(-12). Put 18, 9, q in ascending order.\nAnswer: q, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36a181a - -1?\nAnswer: 36a181b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -79\/5, 3, -2\/21, -0.3, -2\/7?\nAnswer: -79\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4112461 + 4?\nAnswer: -4112454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -5. Let s be (-65)\/o + (-4)\/(-8). Is 11 a factor of 8\/6*1*s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41, -2\/17, 2\/19?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7868393 to the power of 1\/2, to the nearest integer?\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.5 (c) -3 (d) -5588 (e) 0.3 (f) 6\/25 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630\/(-150) + 936\/180.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 719*y**2 + 3589*y - 45. What is s(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566908 is divided by 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -33928.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2054, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1708*y + 28171 = 1719*y. Calculate the highest common factor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(sqrt(65) + 2*sqrt(65)) + (1*sqrt(65)*-5 - sqrt(65)))\/((sqrt(25) + (sqrt(25) - sqrt(300)\/(sqrt(12) - (sqrt(12) + sqrt(24)\/sqrt(2)))))\/sqrt(5)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127296*y**4 - 254*y**2 + y + 735 wrt y.\nAnswer: -3055104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Solve 13*o - 8*o - 41 = -u, 0 = -12*o - 4*u - 1526 + 1642 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2542 - 1005. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 5 (b) -3 (c) 179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 57338262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.4 + 24.2. Let q = 0 + -15. Let k be (-16)\/q + 2\/(-5). Which is the nearest to k? (a) m (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 4) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*r - 2, -5*t - 2*r + 7 = 2. Let c = 5532 - 5532. Solve c*h - t = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y. Let x(j) = -1440*j**2 + 3044. Determine g(x(w)).\nAnswer: -2880*w**2 + 6088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678715310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11995.9992317 - 11996. Round k to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 1034 = 3659. Let c = g - 135. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (25 - -9)*8\/20 - (39 - 39). Suppose -578\/5 - 2\/5*c**2 - r*c = 0. What is c?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(((-12)\/8)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322902.\nAnswer: 2, 3, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*z**2 + 5902172*z - 44266740.\nAnswer: 4*(z + 737779)*(2*z - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 2*y - 1. Let n be d(1). Suppose 0 = -3*b + 6 - n. Suppose -4*o + 7*o + 51 = b*a, -o = -1. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 2*r + 3. Let s be a(3). Suppose 3*n = -s*n + 12. Let f = -572 + 574. Solve w - n + 3 = -2*b, 2*w + b - f = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:15 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d + 3*a - 223, 0 = d - a - 119. Let j = -51 + d. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-16))\/(-5 + 91\/26).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6)*135\/15. Let t be -1*(w - -860001) + -2. Round t to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8257 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -984 - -11917. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -92.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.2 and 8.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.166 - -0.066. Which is the closest to 0.08? (a) m (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282375037 rounded to the nearest one million?\nAnswer: 282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6221 (base 7) in base 2?\nAnswer: -100001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.019 times -0.6\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 30*u - 2080. Let p(k) = -38*k + 2079. Give 5*g(j) + 4*p(j).\nAnswer: -2*j - 2084","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -4b?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 775, 3197, 7253, 12943, 20267, 29225?\nAnswer: 39817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 30.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -35682 >= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11286 divided by 66?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133935*c**2*y**3 + 51*c**2*y + 6*c**2 - 2*c*y + 2*c - 1181*y**4 - 8*y - 1782 wrt y.\nAnswer: -803610*c**2*y - 14172*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 + 365*h + 160. Let u(b) = b**2 - 2*b + 20. Give -3*c(v) + 24*u(v).\nAnswer: 3*v**2 - 1143*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5, -3, -2, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2 + 295592*a - 21843657616 = 0.\nAnswer: 147796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, 2\/19, -5.696, -3?\nAnswer: -5.696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**5 - 2*g**4 + 30433*g**3 - g**2 - 1154*g - 573 wrt g.\nAnswer: 300*g**2 - 48*g + 182598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2576 (base 8) to base 7.\nAnswer: -4046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -36. Let l(k) = k**2 - 8*k - 10. Calculate l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.59 equal to 5.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**3 - 199*o**2 - 49*o + 172. Let r be k(51). Calculate the highest common divisor of 38 and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -80*d - 1. Suppose 3*s = 2*x - 2 + 10, -4*x - 16 = 2*s. Let u be -5 + 6 - (s - -2). Let c be n(u). What is c rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*f**2 - 2072*f + 188 = 0. Calculate f.\nAnswer: 1\/11, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 761\/5025 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28700099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + sqrt(17) - sqrt(17))**2*-5 - sqrt(17)).\nAnswer: -25 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*c - 12. Let p = 7 + -12. Put -0.1, p, c in descending order.\nAnswer: -0.1, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13528019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 3402?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.52 - 3.9. Let x = 1.246 + t. Round x to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b + 4 = 0. Let p(g) = -g**3 + 7*g**2 + 13*g - 2. Calculate the remainder when p(6) is divided by -4*b*19\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 2*b**2 - 6*b - 1. Let x = 40 + -38. Suppose 4*r + 7 = x*g - 35, 5*r = g - 30. Suppose 0 = 4*p + i + g, -3*p - 2*i = 2 + 8. What is a(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - 4 + 4)*(0*a - 2*a + 0*a + (2 - 2 - 2*a)*(4 + 2 - 4) + 8 + 0 - a - 4 + 4 - 29*a - 4).\nAnswer: 72*a**4 - 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m = -47*m + 2280. What is the highest common divisor of 95 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192420.984 hours to weeks.\nAnswer: 1145.363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = -4. Suppose 3*c + 2*c = 25. Suppose 5*h - 274 = b*y - 0*y, 273 = c*h - 3*y. What is h rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**7\/945 - 28*i**6\/135 + 221*i**5\/270 - 55*i**4\/54 + 1226*i**2. Solve b(t) = 0.\nAnswer: 0, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1920*z**2 + 2*z + 4. Let j be s(1). Suppose 2*l - 134 = j. List the prime factors of l.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 395, 392, 385, 374, 359?\n\"Answer: -2*x**2 + 3*x + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3858\/209 - -2394129\/836. Suppose -2*b + 5982 = 174. Let l = b - c. What is the common denominator of -43\/11 and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let n(t) = 2*t - 7. Calculate i(n(h)).\nAnswer: -2*h + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19020881 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -215*g + 122*g = -103*g + x - 36, 4*x = -5*g - 0*x + 99 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17016 = 4*d - 0*q + 4*q, d = q + 4248. Is d + 0 + 2\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32113\/18 - -1786. Let q be (-346935)\/23292 + (3 - 0). Let m = 14\/647 - q. What is the common denominator of m and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/3 + 45080\/105 and 273.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -1*(-5 + (sqrt(153) - (sqrt(153) + 2*sqrt(153)))*-3 + 5 + 5)))**2.\nAnswer: 49572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198612 is divided by 2976?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/804)\/(3\/6). Let a = -409\/1407 - w. Is a <= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 11) + 4 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39.46 + -37. Round v to 1 decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 4*a + 1. Let s be q(-9). Let z(i) = -43 - 2*i - s + 89. Determine z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -137*s - 157*s + 306*s. Let o(j) = j + 2. Let z(f) = -2*f - 5. Let b(w) = -10*o(w) - 4*z(w). Calculate k(b(a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 + 18*y. Let n(u) = -u**2 - 6*u. Let c(k) = -8*n(k) - 3*p(k). Let a(w) = -4*w**2 - 5*w. What is -6*a(t) + 5*c(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 + 6*l**2 + 44*l + 6. Let t(w) = 2*w**3 - 5*w**2 - 43*w - 5. Determine -5*q(b) - 6*t(b).\nAnswer: 3*b**3 + 38*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 21.982. Let d = o - -0.048. Let i = -0.0808 + d. Round i to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3966317 divided by -3\nAnswer: -3966317\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32459.\nAnswer: 7, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 20143090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2)*(2*j - 3*j + 3*j) - 2 + j + j + 3*j + (0 - 2 + 0)*(-3*j + 1 - 1).\nAnswer: 15*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)\/k)**16\/(k**(-1\/2)*k**4)*((k\/(k\/(k*k\/((k*k**(-1\/2)*k)\/k)*k)))**(8\/15))**(1\/74) assuming k is positive.\nAnswer: k**(-773\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.3, 10, 177760?\nAnswer: 177760","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204) + sqrt(204))*-3 + -6*2*sqrt(204))\/(sqrt(144)\/(sqrt(2160)\/sqrt(5)))*5.\nAnswer: -270*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -4, -2.9, 1.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 2*n + 3*n + 0*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/720 - a**5\/18 - 67*a**4\/144 - 4*a**3\/3 - 862*a**2. Let p(j) = 0. Calculate j.\nAnswer: -16, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584922?\nAnswer: 2, 3, 13, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5835 + -88?\nAnswer: 5736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (22 + -13)) + (-33886)\/(-6230). Let c be (-6 + 2)\/((-890)\/4). Let f = o + c. Calculate the common denominator of -83\/10 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 4*l + 5. Let n be v(5). Let z(a) = a + 4. Let j be z(0). Suppose 4*r = -r + 25. Put j, r, n in decreasing order.\nAnswer: r, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3 + -10 + 3 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13281850 and 1545.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.42 - -0.08. Let l = s + -5.5. Let m = 0.3 - -0.2. What is the biggest value in m, 0, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 4*q + 1. Suppose 4*a - 5 = s, 3*s = -a - 2 - 0. Let k = 3 - s. Suppose -8 + k = -v. Determine u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 7*y + 4. Let v = 131 - 124. What is b(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1850 - -639. Let w = 6008 + r. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.93 + -96.59. What is s rounded to 0 decimal places?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*h - 4, 2*o = -2*o + 4*h - 16. Let p = 0 - o. What is the third derivative of -x**2 - p*x**5 + 3*x**5 + 6*x**2 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 10 = -2*g, 601*g = -5*f + 599*g + 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j + 5 - 3*j - 7*j + 23 + 16 as i + y*j and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74840 = 16*m - 584712. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 27. Let f be ((-28)\/(2 + -6) - v) + -3. Put f, 2, 5 in increasing order.\nAnswer: 2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 276.3 - 275.8. What is the nearest to -6 in -3\/5, j, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - -95433030.6.\nAnswer: 95432966.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2\/5 (c) 5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2160*i = 43530 + 118470 for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9692 * -148.\nAnswer: 1434416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 0*z + 7*z)*(0*z - z + 3*z) + (3 - 19 + 1)*(z - 784 + 784 + 11*z**2) in the form v*z**2 + h*z + d and give v.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15094048 and 1162.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + j)*(0*j**2 + 0*j**2 + j**2) - j**3 - 3*j**3 + j**3 + 0*j**3 - 4*j**3 + 2*j**3 + (-j**2 + 4*j**2 - 2*j**2)*(3 - j - 3).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-570)\/(-16891))*106\/371?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - -15) + -105 - -35?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 5*k + k)*(3*k**4 + k**4 + 0*k**4) + 17*k**5 - 46*k**5 + 61*k**2 - 1 - 63*k**2.\nAnswer: -25*k**5 - 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 86, 7, -1 in decreasing order.\nAnswer: 86, 7, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (-20 - 4 - -18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14148206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -3572?\nAnswer: -3568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = 34 + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:15 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -873 and 141.7?\nAnswer: 1014.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.296 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**3*(((q\/(q*q**(-6)))\/q)\/q*q*q)\/(q*(q*(q*q\/(q\/(q**(-2\/15)*q)*q)*q)\/q)\/q) assuming q is positive.\nAnswer: q**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.24 and 5.\nAnswer: -76.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9126)\/28392)\/((6\/(-35))\/(2\/10)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 20*l**2 + 7*l + 5. Let a be s(-5). Suppose 0 = 5*m - 4*g - a, -3*g - 398 - 77 = -5*m. Suppose -5*t + m = 18. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*d + 28 - 35 = 0, 0 = 2*l - 2*d + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((70\/18)\/5)*((-38808)\/44)\/42.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4583? (a) -1\/3 (b) 6 (c) 9 (d) 0.5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*n + 54*n - 28*n + 1)*(2*n**2 - 5*n**2 + n**2)*(25 - 25 - 25*n)*(3 + 0 - 2).\nAnswer: -350*n**4 + 50*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002155975187 to 7 dps.\nAnswer: -0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*j + 128 = -744*j - 490 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51936785 to the power of 1\/2, to the nearest integer?\nAnswer: 7207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 4 - 1 - (-4 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1182320 by -8.\nAnswer: 147790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28505387*i**2 + 31507851 wrt i.\nAnswer: -57010774*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.01 and -0.5572577?\nAnswer: -1.677345677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001001111100010100000011 + 1?\nAnswer: -1011001001111100010100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, 4, -4, -0.02, 2 in ascending order.\nAnswer: -86, -4, -0.02, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:16 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 12*f + 0*z - 2*z - z - 149 + 17 = 0, 5*z = f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*p = -2, -3*p = -23 + 8. Solve 18*t = 17*t - u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*d + 20 = 0, 15 + 1 = 3*j + d. Suppose -3*r = -4*s + j, 3*s - r = s + 5. Suppose 2*o + o = -3*a, 2*a = -3*o - s. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-402 + 735 + 2546*s**2 - 333)*(-1 - 2*s + 0*s + 3*s).\nAnswer: 2546*s**3 - 2546*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j + 1693. Let r(q) = q**3 + 13*q**2 - 14*q. Let f be r(-14). Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 18.689?\nAnswer: 37.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 28 = 2*y + 11*q, -y + 941 = 5*y - 10*y - q + 1011 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382307461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z + 181 = 26*z - 4. Suppose 5*r = 4*o - 155, 23 + 20 = o + 3*r. Is z <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 30 - 15. Suppose -b*v + 601 = -188. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 42 = q, 3*q - 4*q - 7 = -2*r. Let b = q + 26. Calculate the lowest common multiple of b and (217\/62)\/(1\/2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 6*f = -3. Which is the closest to 15? (a) -2\/3 (b) f (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2303808 and -4.087348.\nAnswer: -4.3177288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*b - 15, 0 = -3*p - 2550 + 2538 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -98, -325, -768, -1499?\n\"Answer: -12*x**3 + x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3*83\/(13280\/(-384))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Suppose 0 = 74*g - 27*g + 6627. Let m be ((-176)\/(-40) - 5)\/(g\/10). Is m greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - -2) + -1*2. Suppose -6 = y*t - 4*t. Let w be 2\/(t\/(-72)*3). Solve -w + 1 = -3*o, -5*o = 3*f - 19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q\/((q\/(q*q**5)*q)\/q))*q*q)\/(q**10*q*q))**(-3\/11)\/(q**(2\/11)*q**(-1\/3)*q*(q**(-1)\/q)\/q**(-1\/4)) assuming q is positive.\nAnswer: q**(659\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10407870 is divided by 74?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -8*n + 6. Let d = -3.6 + 3. Let r = -0.9 - d. Which is greater: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -312\/19 (b) -3\/7 (c) -1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 18 = -3. Calculate the common denominator of (-13)\/(-26) + 38\/(-10) and 2*(u + (-3)\/30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/803 - -784\/110011. Let q be 3\/(-4)*116\/87. Is q less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 6. Let q(l) be the third derivative of 3*l**4\/2 - 23*l**3\/6 - 323*l**2. Is q(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368145 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*f = f + 3, 0 = -5*v + 5*f + 55. Let h = v - 6. Let l be h + 0 + (10 - 8). Solve -2*r = -3*z - 1, 4*r = 3*z - 4 + l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*y**2 - 3*y**2 - 9*y**2 - 42*y**6 - 3*y**2 wrt y.\nAnswer: -5040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(1584)*1 + sqrt(1584) - sqrt(1584) - -1*(0 + sqrt(1584)) - ((sqrt(1584)*2 + sqrt(1584))*-3 + (sqrt(1584) + 0)*-1)) + 1)**2*-5.\nAnswer: -1140489 - 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 2*n**2 - 13*n - 6. Let k be d(5). Suppose 0 = -5*c + 2*b + 3089, k*c + 0*b = -2*b + 2482. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833461 is divided by 155?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37\/17 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 242521 (base 7) in base 12?\nAnswer: 21684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0 - 8. Suppose 14*h - 300 - 556 = -310. What is the least common multiple of h and q?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 - 29*s**4\/12 + 36*s**3 - 162*s**2 + 9945*s. Factor t(i).\nAnswer: (i - 18)*(i - 9)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3867200.684 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 9*p**2 + 11*p - 6. Let t be o(10). Solve -3 = t*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**3 - y**2 - y - 6. Let f(u) = 6*u**3 + u**2 + u + 5. Let l = 45832 - 45837. Determine l*a(k) - 6*f(k).\nAnswer: -11*k**3 - k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46531261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -b - 2, -s = 11*b - 15*b + 17. Let c(g) = -g**2 - 12*g - 1. Let q(w) = -2*w**2 - 25*w - 2. Let r(x) = s*c(x) + 2*q(x). Give r(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y - 10. Find the third derivative of -12*w**3 - 9*w**3 + 15*w**2 - w**3 + w**y wrt w.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 183058 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -73 - (2 - (3 - -2)). Let p be 4\/(-20) - (-6)\/m. Which is the third smallest value? (a) -4\/5 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y - 119*y = -4291 - 8609 for y.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*12\/(-33))\/1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 - 191.001195. What is x rounded to 5 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07037 rounded to 2 decimal places?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.81 (b) -10 (c) 1\/8 (d) 1\/4 (e) -0.3 (f) -101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 2, h: 2}. Give prob of picking 1 h and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3559.533 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -23*c**2 - 5*c + 15. Determine h(-4).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/5))\/((k*k**3\/k*k)\/k))\/((k*k**(2\/3)\/k)\/(k**(-2\/5)\/k)) assuming k is positive.\nAnswer: k**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 77*l**2 - 3 + 0*l + l + 4. Let k(m) = -m - 6. Let t be k(-5). Is z(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oisccoyoacoaiccoycio. What is prob of sequence syi?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/25 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 1 + 4)*(2*m**2 - m**2 - 2*m**2) as n*m**2 + a*m + f and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 5*i - 10. Let m be h(-10). What are the prime factors of m\/18*24\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.5 (b) 0.09 (c) 3 (d) -687 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.151149472 to three dps.\nAnswer: -7.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {i: 3, v: 1, n: 1, y: 2, j: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**4\/4 - 5*q**3\/3 + 3*q**2\/2 - 5*q + 5. Calculate the remainder when 27 is divided by o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 4*p**2 - 4*p**3 - 3*p - 6*p**2. Suppose -4*d + 2*y = d - 98, 4*y = -4*d + 84. Calculate the lowest common multiple of d and r(-2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -26.2. Let w(z) = 2*z**2 - 34*z + 12. Let c be w(15). Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 2*d - 2. Suppose 10 = 64*a - 69*a. Calculate v(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - 70\/(-28). Factor -12*r**2 - 16*r**2 - 5*r**2 + 24*r**f + 3*r**3.\nAnswer: 3*r**2*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17576 and 12?\nAnswer: 52728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3332 + 2654891.864.\nAnswer: 2658223.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qel when three letters picked without replacement from eeqqeqeelleell?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 24 = 3*v, -2*v = -2*w - 5*v + 6. Suppose w*k = k + 1855. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81322, 162684, 244086, 325528?\nAnswer: 407010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, -3, 3, -0.5 in ascending order.\nAnswer: -3, -0.5, 8\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = t + 391. Let y = t - -1095. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631 divided by -13381.\nAnswer: -631\/13381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 21.64. Let o = 0.0241 + 0.2989. Let u = o + l. Round u to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 94 = 14*n. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqvvvvvqvvfqqvvqfqf. Give prob of picking 1 v and 3 q.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 10*o**2 - 13*o - 5. Let i be g(-9). Suppose i*b - 12 = 34*b. Suppose 0 = -0*w - 4*w + 12. Put w, -3, b in decreasing order.\nAnswer: w, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 8*q**5\/5 + 3608*q**4\/5 - 33166*q**3\/5 - 20224*q**2\/5 + 431912*q\/5 + 124384 = 0?\nAnswer: -460, -2, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = y - 4*b + 43, 2*b = 2*y - 588. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 135728384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*o - 6*o = -63, -97491*z + o + 39 = -97493*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 15. What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -172 and -21313\/123 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008370346 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 200215, 200206, 200197, 200188?\n\"Answer: -9*c + 200224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 20*m - 13. Solve 4*s - 13 = q, -4*s - 2*q + 25 = m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*j = -2*f - 16, -2*f + 3*j = -19. Let h = f - 4. Is (-8 - h)*(-5)\/2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 685596?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-8)\/((x*(x**(-3\/2)*x)\/x)\/(x*x**(-5))))**(-2\/15) assuming x is positive.\nAnswer: x**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136452556*x**2 + 131614318*x?\nAnswer: 272905112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/351*-9)\/(5\/(-42))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 + -116.6. What is l rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 628115*f**2 + 19722339280*f - 256496573060.\nAnswer: 5*(f - 13)*(f + 62818)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 150385086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 40. Let d(z) = 24*z + 16. Let t be d(3). Suppose 10*i - t - 242 = 0. Calculate the greatest common divisor of i and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -44. Let y be i\/180 + (-4)\/(-18). Which is smaller: y or -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5\/3 - 72002*u**4\/9 - 72700636*u**3\/3 - 12540140636*u**2\/9 - 20451116854*u - 59968078562\/9 = 0?\nAnswer: -5971, -29, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 797.2012um?\nAnswer: 0.0007972012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(525\/6)*2\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 37 (b) -1\/2 (c) -4\/5 (d) 3\/10 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.2 + 7.67. Round g to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 8*u + 16. Let p be o(9). Suppose -b - p*b + 40 = 0. Solve 22 = 6*l - 2*l - 5*s, -b = -l + s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(180) + -1 + sqrt(180))**2 - sqrt(60)\/(sqrt(72)\/sqrt(6))).\nAnswer: -1442 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64568568?\nAnswer: 2, 3, 2690357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s\/(s\/s**(-10\/7)*s))\/s)\/s)\/(s\/(s*s**(2\/21))))\/((s\/s**13)\/s**(3\/5)) assuming s is positive.\nAnswer: s**(139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57536150.\nAnswer: 2, 5, 7, 43, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*o = 0. Suppose 2*t = 5*g - o*t - 30, -2*t = -4*g + 26. Solve -4 - 8 = g*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = -0*u + 6*u. Calculate the greatest common factor of 23 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1968 - -978. What is j rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**2 - 8 + 8)*(-j - 2*j + 4*j) + (6*j - 4*j + 0*j)*(j**2 + 2*j**2 - 2*j**2) in the form w*j**3 + s*j + p*j**2 + l and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 70, 106, 142?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 8640 = 4325 + 4375 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3520) - (sqrt(3520) - -2*2*sqrt(3520)))\/(((sqrt(50)\/sqrt(2) + sqrt(25) - sqrt(25))*4)\/sqrt(5)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307635902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12999952 - 0.13. What is l rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z. Let g(l) = -45*l + 10. Determine m(g(u)).\nAnswer: -135*u + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -f - 26*f**4 + 3*f + 4*f**2 - 1 + 28*f**4 in the form r + z*f**4 + x*f + m*f**3 + a*f**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 13*n + 18. Give u(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpff when four letters picked without replacement from {f: 3, v: 15, p: 2}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etz when three letters picked without replacement from ebtntqzeezbbbbqteb.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1) + 19 + -25.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/756 and -49\/18?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -686\/325 (c) 2\/4621\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c + 2 + 298 = -11*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/3 + 334*u**4 - 317879*u**3\/3 + 31036538*u**2\/3 - 30299820*u + 60179800\/3 = 0.\nAnswer: 1, 2, 179, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-22 - -12) + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 648, 6\/1615, -0.4, -2?\nAnswer: 648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*l**2 - 41772 + 472*l.\nAnswer: -4*(l - 177)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 331. Determine h(6).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 9423*j\/5 - 1329118\/5.\nAnswer: (j - 9562)*(j + 139)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*y - v = 329*y + 45642, -4*y + 45648 = 2*v. Does 54 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5*(-270)\/108)\/(-20).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270 - -414) + -1 + -51.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*g + 7*w - 8*w, 0 = -4*g - 4*w + 16. Let z(d) = -d**3 + 9*d**2 - 12*d + 11. What is the remainder when z(g) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4385827?\nAnswer: 19, 230833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -713*n**2 + 419*n**2 + 303*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**6\/24 - 9*x**5\/20 + x**4\/16 + 27*x**3\/4 + 9*x**2 - 5924. What is m in h(m) = 0?\nAnswer: -8, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsb when three letters picked without replacement from xhsrxbxxhxabbhxshab?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107039420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + sqrt(450) + -4*(sqrt(450)*-1 + sqrt(450)))\/((sqrt(81) - (sqrt(81) - (-1*sqrt(81) + sqrt(81)))*-3 - sqrt(81))\/sqrt(9)) + 2.\nAnswer: 2 + 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 119 = -61. Let a = -25 - h. Suppose a = t - 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d + 30. Let x(y) = 2*y + d - 4*y - y**2 - 4*y. Let n be x(-6). Solve 0 + n = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 13*i - 2. Calculate o(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009081788 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*v - 30 = 0, 2*v - 6 = m - 15. Suppose 1092 - 174 = 171*t - 450. Solve k + m = t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2915 + -2759. What is the closest to m in 1\/8, -1, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-728)\/16)*7\/27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.4 (c) -0.14676 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21516 divided by 22.\nAnswer: -978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000346302 to five decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or 3348892?\nAnswer: 3348892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -3 (b) 2 (c) 0.5 (d) -74.549 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 138, 147, 156, 165, 174?\n\"Answer: 9*q + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 529*f**3\/2 + 1034264*f**2 + 539589*f\/2 + 17595.\nAnswer: (f + 3910)*(23*f + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q**2 + 18*q + 49. Give y(-4).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, 1, -9, -176, -64, -3.\nAnswer: -176, -64, -22, -9, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-14 + (27 - 25 - (-16 - 3)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -75, 8, 21 in increasing order.\nAnswer: -75, -4, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (28 - 28)) + (-1 - 21)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216.08 rounded to the nearest 10?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6 + 5*w**2 - 5 - w + 4 + 3*w. Let h(i) = 1 - 8*i**2 + 34*i**2 - 14*i**2 - 13*i**2. Let f(d) = -6*h(d) - 2*n(d). Determine m, given that f(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1676 divided by 41\nAnswer: -1676\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/9724 and 7\/25857?\nAnswer: 1137708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51911*i**5 - 990*i**2*p - 818*i*p - 66389*p wrt i?\nAnswer: -1038220*i**3 - 1980*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -r - 0*r + 6, 2*r + y = 12. Solve -10*g = -r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 14*r**2 + 11*r - 19. Does 21 divide d(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 179183636 and 27536?\nAnswer: 716734544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1)*(-4)\/8. Suppose a = 4*o + 1 + 3. Let y be -2 - (o - (-1)\/(-1)). Solve -1 = -p - 5*f - 12, y = -f - 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859336661.\nAnswer: 613, 4664497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-4\/3)*s**6)**(-3\/28) assuming s is positive.\nAnswer: s**(-25\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1503 - 620*g - 1503 in the form k + t*g and give t.\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*s**3 + 82*s**3 - 17*s**3 + 1112*s**2 - 35*s**3 = 0. Calculate s.\nAnswer: -278, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222892, 222873, 222854, 222835, 222816, 222797?\nAnswer: 222778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.041462 and 130179290.\nAnswer: 130179290.041462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -33*d**3 - 5*d**2 - 5*d - 5. Let x(m) = -182*m**3 - 28*m**2 - 28*m - 28. Determine 28*c(w) - 5*x(w).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1431 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 12187.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -350\/3 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4661.71 and 0.22.\nAnswer: -1025.5762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 - 119.9. Let o = 11 - y. Which is the second biggest value? (a) o (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-536)\/40)\/((-38)\/(-5)) and -33\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 = -3*a. Let b(q) = -q**2 + q + 11. Let i be b(4). What is the tens digit of i*(0 - (a + 28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 40147175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47304959 is divided by 388?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0856863 millennia?\nAnswer: 1028.2356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8836960 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 (base 12) in base 14?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.6 (c) 4 (d) 0.005 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**2 - 25*j + 15*j + 10*j - 6*j**2. Let z(k) = 9*k - 5. Let n(y) = -8*y + 6. Let u(t) = -5*n(t) - 6*z(t). What is d(u(m))?\nAnswer: 196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**3 - 3*l**2 - l + 2. Let p be s(-2). Let r = -194\/3 - p. Which is the closest to 2\/7? (a) 1\/11 (b) -1\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 225 = -2*a. Let l be 4\/(-18) - 190\/a. Suppose -l*k + 3*h = -11, k - 6*k - 5*h = -40. Solve 3*p + 2*p = k*f + 5, -3*f - 5 = -5*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:10 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -1408.4.\nAnswer: -1408.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 218 (base 10) to base 5\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18513 and 50908693?\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3 and -25\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + ((5 - 18) + -23 - -22)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 1. Let i(y) = -y + 5. Let q = -277 - -279. Let h(z) = q*w(z) - i(z). Let f(n) = -5*n. Calculate h(f(j)).\nAnswer: 5*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = -2*d + 40, 5*k + d - 100 = 0. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 23 = -17*h + 3*l, -h = -2*l - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5 + 2 + sqrt(243) + sqrt(243) + -5 - (sqrt(243) - (sqrt(243) + -2 + sqrt(243))*1 - -2*sqrt(243)*5)))**2.\nAnswer: 1260*sqrt(3) + 12007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7465 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1)*(1\/(-1))\/((-14)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -20*j**3 + 137*j**2 + 4616*j - 32288. What is a(7)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 2, -4, 3, 1\/4, 54 in increasing order.\nAnswer: -4, 1\/4, 2, 3, 32, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 227 - 200. Suppose 16 = 31*g - l*g. Solve 0 = x - g*v - 21, 4*x - 9 = -v + 2*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 513287, -5 in descending order.\nAnswer: 513287, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*p - 100*p + 300*p + 50*p.\nAnswer: 475*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 6. Let d(z) = -9*z**2 + 1. Let n be d(-1). What is the remainder when c(n) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60709014 is divided by 6269.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1070 = -0*v + v. Let m = v - 621. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 4*w + 0*w - 2*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15981593879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/6))**(-4\/15)\/((t**(-7)\/t)\/(t\/t**(2\/7))) assuming t is positive.\nAnswer: t**(2731\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20666, -41279, -61892, -82505, -103118, -123731?\nAnswer: -144344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/46)\/((-1)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 437 = -126*k + 125*k, 5*k - 409 = 2*s. Which is bigger: s or -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let o be (-1)\/((7\/4)\/(-7)). Suppose -u - o*u + 13 = -3*b, 20 = 4*u. Solve r - 8 = -b*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**6\/360 - o**5\/24 + o**4\/24 + o**3 + 1. Let l(k) be the third derivative of v(k). Let h = 8 - 13. What is l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-35) - 33\/(-7). Suppose -b = j - 6*j - 61, 45 = -5*j + o*b. Round j to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -3 + 1)*(-18 - -17). Let n(f) = -f**2 - f. Let h(p) = 7*p**2 - 4*p. Give v*h(b) - 2*n(b).\nAnswer: 9*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 134109291.\nAnswer: 134109285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:27 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*h + 7508, -4*i + 100*h - 95*h + 7507 = 0. What are the prime factors of i?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = -f + 12, 3*f = 4*l + 4. What is the biggest value in 6\/5, 8, l, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 19*w. Let t(u) = 32802*u**2 + 9. What is t(o(r))?\nAnswer: 11841522*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*y + 17*y**3 - 510*y**2 + 46*y**3 + 510*y**2 wrt y?\nAnswer: 378*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 - 2*b + 2. Let x(f) = 12*f**2 - 15*f + 7. Let h(v) = -v**2 - v - 1. Let s(t) = -4*h(t) + x(t). Calculate 11*o(j) - 2*s(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 2. Let z be o(-2). Let d = -6 + z. Let n be (0\/(d - 3))\/(-2). Solve 0 = 5*i - f + 27, n + 9 = -i + 2*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(2\/(-3) + 1). Let s be -2*((-1 - m) + 0). Solve 0 = 5*c - s*o + 9, -2*o - 12 = 5*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 327 = 3*g - 2*j, 0 = -3*g - 5*j + 327. Suppose -12*p + 3*k + g = -11*p, -k = -4*p + 403. Calculate the remainder when p is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 901832855 or 901832852?\nAnswer: 901832852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 + 2. Let o = 0.35 + -7.75. Let l = o - -7. What is the third smallest value in 2, l, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*(sqrt(147) - (sqrt(147) + -2)) + -5) + -5*6*sqrt(147)*-5*-2)**2.\nAnswer: 21000*sqrt(3) + 13230025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 0 + (sqrt(156)*-2*2 - sqrt(156))\/(-5*sqrt(588)) + 4))**2.\nAnswer: -2*sqrt(13)\/7 + 62\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 4 - 3)*(-a - 1 + 1) + (-3*a + 3*a + 2*a)*(1 + 3 - 3))*(-4*a**3 + 2*a**3 + 0*a**3).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -50*f - 49. Is p(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = h. Let s = -11 + 4. Let b = s - -7. Solve 2*x = 4*o - 20, -h*x = -o - b*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -99750.\nAnswer: 1\/33250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 5*a**2 - 4*a**2)*(2*a + 2*a - 2*a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -16 (c) -3\/8 (d) -101\/3 (e) 3 (f) 19\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -488774968 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 - 13)*(-4)\/10. What is the nearest to z in 0.2, 4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12407718 and 188?\nAnswer: 24815436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-29))**(-3\/5))**(22\/5) assuming k is positive.\nAnswer: k**(1914\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 + 3*o**4 + 4*o**2 + 2*o**4 + 0*o**4 - 3*o**4 + (297*o**2 - 29*o**4 - 297*o**2)*(0 + 1 + 1).\nAnswer: -56*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaz when three letters picked without replacement from azxaaxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = 12*w - 418859 - 232651. What are the prime factors of w?\nAnswer: 3, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -966*a = -987*a - 42. Sort -6, a, 3, 5, 24.\nAnswer: -6, a, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 17*w**2 - w + 23. Let j be r(17). Suppose -2*b = -b + j. Which is smaller: -5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31665, -63280, -94895, -126510, -158125, -189740?\nAnswer: -221355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -20*6\/36*(-3)\/2. Suppose 5*p - o + 2*o = -29, -5*o = -s*p - 5. Let u(l) = l**3 + 6*l**2 + 4*l + 2. What is u(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-533)\/(-41574)*(-3)\/27*3*48\/4.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629906202 + 629906202 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11*(-8)\/44*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -164652678 divided by -9?\nAnswer: 18294742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 3:36 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 374, 1495, 3364, 5981, 9346, 13459?\n\"Answer: 374*b**2 - b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10263427 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -24 + 13 - (-1 + 1 + 20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2304 - 497*y + 2302 - 4606)*(2*y - 5*y + 2*y).\nAnswer: 497*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2953, -23296, -78223, -184930, -360613, -622468, -987691, -1473478?\nAnswer: -2097025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26209*r**2 - 6 - 66*r**4 - r + 65*r**4 - 26207*r**2 + 5*r**3 to l*r**4 + k*r**2 + n*r**3 + g + o*r and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 13*s**2 - 45*s + 18. Let r be h(-4). Solve -4*q + 322 - r = 0, 0 = u - q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 7*o**2 + 7*o - 1. Let t be r(5). Suppose 5*h - 61 = t. Let l = 56 - h. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 316.6 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -21. Suppose -v + l = 0, 2*z + 5*v = 4*z + 12. Solve -2*d = -3*b - d - 11, z*b = 4*d - 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966550.7 months in centuries?\nAnswer: 1638.79225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*a - 115. Let t = 39 + a. Let y be 3 + (1 - 3 - t). Solve 5*m = -4 + y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 7:07 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -290.1 + 290. Which is the closest to -0.1? (a) z (b) -2\/3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 688 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 360.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, 3\/5, 2\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + n + 23, -2*c + 5*n = -0*n - 23. Calculate the remainder when 7 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*t - 140 = 0, 5*t - t = a + 35. Let l = 83 + a. Suppose z - 2*z + 26 = -2*x, -51 = -2*z + 3*x. What is the highest common factor of z and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42837 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 + -22 - 270\/(-68). Let r = x + 2111\/102. What is the common denominator of 34\/19 and r?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2 - 0. Let o(l) = -4*l**3 - 2*l**2 - 3*l. Let n be o(k). Suppose -4*u = 4, 5*i - 2*u = i + n. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > 312\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 8*k**2 - 9*k + 5. Let z be f(9). Suppose -3*g + 116 = 3*w - 4*g, 0 = -5*g + z. What is the highest common factor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - 28) + -4 + 6 + -17 - (51 - -1).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176315?\nAnswer: 5, 179, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 971 divide 54190539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*g = 3449, 5*g + 1260 = -3*i - 828. Is 9 a factor of i\/(-11) + (-4)\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 1, j: 3, g: 1}. Give prob of sequence jg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4364, 6123, 5286, 1853, -4176, -12801, -24022?\n\"Answer: -1298*f**2 + 5653*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(8\/18) + 360\/42. Which is the nearest to -20? (a) 2\/11 (b) -2\/13 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 11*s**2 + 10*s - 10. Let o be x(-10). Let t be 270\/(-14) - (-4)\/14. Let m = o - t. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 206150655 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - p + 3 + 48, -3*p + 3 = 0. What is the remainder when 14572 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 5*v - 383*v**2 - 5*v.\nAnswer: -383*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/10*-5*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -4 (c) -143\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 635*k**2 + 2507*k + 10461. Calculate q(631).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -i + 129, 26*g - 25*g - 3 = 0. Calculate the greatest common factor of 3807 and i.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**5\/20 + 2*r**4\/3 - 5*r**3 - 15*r**2 + 98*r. What is the least common multiple of t(-8) and 6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 4:40 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.01, 0.08, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-17)*j))**(-9\/5) assuming j is positive.\nAnswer: j**(-153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -912809, -1825614, -2738417, -3651218, -4564017?\n\"Answer: t**2 - 912808*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2203159 centimeters in millimeters?\nAnswer: 2.203159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-1)*k)\/k)\/(k*k*(k**0*k)\/k*k))**(1\/14) assuming k is positive.\nAnswer: k**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3394722951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k = 5*n + 5, 2*k - 2*n = 2. Solve -20*i + 21*i = k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4765860 divided by -953172.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -6.00237\nAnswer: -0.2400948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -5. Let x = -958 + 963. Sort x, -5, t.\nAnswer: -5, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255)\/(-51)*(1\/1)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -7*r**5\/20 + 29*r**4\/24 - 30*r**2. What is the second derivative of w(t) wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 41 - 71 + 39 - 3*l. What is w(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38460 is divided by 109?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i**2 - i)*(-2 + 2 + i**2) + (0*i**4 + 6*i**4 - 4*i**4)*(-13915 - 27668 + 11544 - 8713).\nAnswer: -77505*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25784*w**3*y - 3109*w*y**2 + 73465*y**2 + 3*y + 292 wrt w?\nAnswer: 77352*w**2*y - 3109*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273957244 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 83.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 17. Let n be w(8). Let p(i) = -i**2 + 15*i + 4. Let m be p(n). Which is the biggest value? (a) 5 (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1028 + -6265\/6. Calculate the common denominator of -15\/46 and g.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 35564430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -91 in 2\/7, 1\/5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (4 + (3 - 28))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 10) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15825415391 + 15825827615.99915. Let a = m - 412249. Let q = -24 - a. What is q rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1708 + -1003. What is the remainder when t is divided by 701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2385 and 46\/21.\nAnswer: 16695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.007 or 28993?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/7*(-350)\/(-375)*(-6)\/40\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - 7*b**2 + 3*b + 2. Let f(n) = 13*n**3 - 27*n**2 + 13*n + 8. Determine -2*f(t) + 9*j(t).\nAnswer: t**3 - 9*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2 - 444880*d + 18688488 = 0.\nAnswer: -222482, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 2, y: 4, l: 4, f: 7}. Give prob of sequence ifyy.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b + 55*b**2 + 8*b**2 - 26*b**3 - 17*b**2 wrt b.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 440084*t - 2640648.\nAnswer: 4*(t - 110027)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -446a5 (base 14) in base 8?\nAnswer: -504111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.6 rounded to zero dps?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p + 21 + 3*p + 0*p - p. List the prime factors of j(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-4)\/(-4))\/((289\/323)\/(-17))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -63*m - 38. Let n(l) = -43*l. Give n(h(i)).\nAnswer: 2709*i + 1634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 24. Suppose 3*w + 88 = 4*t, 3*t + 8*w - 5*w - 66 = 0. Let r be n(t). Which is the biggest value? (a) -4 (b) r (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 - 32*l**3 + 37*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-10) - (-27)\/15. Let s(t) = -t**2 + 2 - t**2 + 0. What is s(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 15, d: 3}. What is prob of sequence zdz?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -1\/3*a**3 - a**2 - 1\/30*a**5 + 0 + 0*a + 1\/6*a**4. Factor u(n).\nAnswer: -2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 43. Let o be j(-16). Let v(s) = 16*s**3 + 8*s. Let i(m) = 11*m**3 + 5*m. Calculate o*v(l) - 8*i(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllellleeeeee. Give prob of sequence llle.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 85736.2 rounded to the nearest one thousand?\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 281963 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-4)*g))\/g**(-1\/2)*(g**(-1))**40 assuming g is positive.\nAnswer: g**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3)*(-9)\/(-8). Let m be 12*((-170)\/8)\/5. Let i = m - -48. Sort -0.2, i, s in decreasing order.\nAnswer: -0.2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Suppose -3*d = -0 - 9. Suppose 0 = -b + d - 0. Let s(k) = 4*k**2 + b*k**2 - 4*k**2. Calculate l(s(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 209.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011873 to seven dps.\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 2*i**2 - 3*i**2 + 2*i**3 + i**3 to the form o*i**2 + x + q*i + b*i**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1660645*u**4 + 6*u**3 - 17905927?\nAnswer: 6642580*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 163742906 <= 491228720\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -499*z - 48896. Calculate h(-98).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b406c7a - 1?\nAnswer: b406c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9))**(-39)*v**(34\/3)\/(v*v*v\/(v*v\/v**(22\/7))) assuming v is positive.\nAnswer: v**(111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x**3 - 5988*x**2 + 5*x - 2477. Determine d(499).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 7, f: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -19, 2, -1, 5, 0 in increasing order.\nAnswer: -19, -1, 0, 2, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 0)*(3*v**3 - 2*v**2 + 5*v**3 - 6*v**3).\nAnswer: 10*v**3 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1823540288 - -0.00573.\nAnswer: -1823540287.99427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, i: 9, z: 2, a: 2, n: 2}. Give prob of sequence aani.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257.6 + 257.8286. Let z = -0.0714 - s. Let t = -2.9 + -0.1. What is the smallest value in 0, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-1 - -14) + (-261 - -268).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.003 - 43794\nAnswer: -43794.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*x - 13, 2*x + 3*x + 11 = j. Suppose 5*n - 11 + j = 0. Calculate the lowest common multiple of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v. Let x(p) = 11*p. Let a(j) = -8*u(j) - 3*x(j). Let o(b) = -10*b - 41*b - 371 + 13*b + 371. Determine a(o(f)).\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -218, -2, -1, -4, 443, 0 in ascending order.\nAnswer: -218, -4, -3, -2, -1, 0, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 2220 = -7220. Suppose 2*n = -5*x + 1874, -4*x + t = n + 13. What are the prime factors of n?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/3 + 4024*c**3 + 24498*c**2 - 5988356*c\/3 + 13646864 = 0. Calculate c.\nAnswer: -28, 11, 6042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 16 + 1 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6920 is divided by 980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 divided by -79?\nAnswer: 154\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = -4*x + 48, 0 = 5*x. Suppose 3*w = -l + 40. Suppose 0 = 2*k + 5*m + 25, k = -2*k - 5*m - 25. Solve 2*z = -k*z - w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -872, -1330, -1808, -2312, -2848, -3422?\nAnswer: -4040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2929 + -8788\/3. Which is the nearest to 2\/7? (a) 4 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101321112 (base 6) in base 4?\nAnswer: 12223312010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/32 and 173\/126.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 258.8979 - 259. What is v rounded to 3 dps?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/11 and 544\/(-24)*3\/38?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Suppose 14 - 4 = d*m. Suppose -2*p + 26 = 4*n - 0*n, -n + 29 = m*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -22*j - 37. Let w(b) = -11*b - 21. Let p(g) = -9*w(g) + 5*x(g). Let q(v) = v**3 - 7*v**2 + v - 4. Let l be q(7). Determine p(l).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (65\/10)\/(-1) + (-2)\/4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1981542 is divided by 1038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34400 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = -24. Let k = -32 + 63. What is the remainder when k is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 1. Let x be j(-1). Is x greater than 17\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 15, 3*z + 61 = -g - 0*g. Let f be 4\/(-16) + g\/(-16). Solve y = -3*y + 5*p + f, 2*y = -4*p - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 25 = -5*j, 3*q + 0*q = -3*j - 6. Suppose -5*y + 52 = -j*f, -6*y + 2*f = -y - 48. What is the highest common factor of y and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 382.799 - 0.437.\nAnswer: 382.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -29, -14\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zilvvhzi. Give prob of picking 1 z and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -2654143 = 1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65967948 and 600?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 19*r**2 + 1. Let a be i(1). Suppose 5*z - a = -5, -3*m + z + 33 = 0. Let s = -22 + 106. Calculate the highest common factor of m and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 1.3 (c) 2\/55 (d) -34\/7 (e) -15 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**3\/3 + 4*f**2 + 2. What is the second derivative of x(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n - 3. Let b be m(3). What is the remainder when 47 is divided by (b\/(-5) - -1)\/(4\/(-90))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 3*o**2 - 2*o + 2. Let a be w(-3). Let s = a - 11. What is the third biggest value in s, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10757 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3161 - 1129 = 214*x - 19*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*z + 11*z + 41*z)*(2*z**2 + 2*z**3 - 2*z**2) as u*z + v*z**4 + g*z**2 + y*z**3 + x and give v.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63766 minus -0.122?\nAnswer: 63766.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -c5e (base 15) to base 13\nAnswer: -1367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 14.98. Let i = v + -15.058. Round i to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*h**2*y**3 - h**2*y**2 + 4*h**2*y + 3*h*y**3 + 2*h*y**2 + 459*h - y wrt h.\nAnswer: 134*y**3 - 2*y**2 + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117087?\nAnswer: 3, 31, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -427 - -436. Let h be (16*d\/(-27))\/(2\/(-15)). Calculate the highest common factor of 64 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*g**2 - 2\/7*g**3 - 2\/7*g**4 + 0*g = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 21*i - 40. Let y(g) = -30*g + 56. Let h(s) = -7*b(s) - 5*y(s). Let p(r) = -2335*r. Calculate p(h(c)).\nAnswer: -7005*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 1 - s + 0*s**2 + 5*s**2. Let x be ((13 - 6) + -6)*(-1 + 0). Let q be a(x). Solve -j = -3*j - 4*g + 6, 0 = 2*j - q*g + 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**6\/24 + 7*z**5\/20 - 9*z**4\/8 + 5*z**3\/3 - z**2 - 56. Suppose d(v) = 0. Calculate v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -39\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k*k*k**(2\/11)*k*k))*k)\/(k*(k\/k**(-2\/11))\/k))**(-3\/8)\/(k*k\/(k**(-1)*k)*k*k\/(k\/(k*k**(-4)*k)))**(-10\/11) assuming k is positive.\nAnswer: k**(-85\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**3 + 210*t**2 + 23*t - 120. Is f(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372976, -373187, -373398, -373609, -373820?\nAnswer: -374031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -11. Let x = -20 - -48. Suppose 5*v + 13 = x. Solve 3*f + 8 = -2*z, -12 - 2 = l*f + v*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*z + 195 = 161*z + 51 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20322 (base 4) to base 8.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 17, 13, 9, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*q - 128 + 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**1*(f*(f*f*f**(2\/7)\/f)\/f*f)\/f assuming f is positive.\nAnswer: f**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 - 1372616*y - 235509335432 = 0. What is y?\nAnswer: -343154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/12 - (-5 + 20 + -10))*(-422)\/1055.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 2*c**2 - 4*c + 11. Is u(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4802 + 4801. What is the third smallest value in r, 3, -80?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 16800.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 202*w - 521 = 0, -2*o - w + 20026 - 19995 = -4*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14237 is divided by 144?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3948 - -86901\/22. What is the common denominator of 1*-99*(-1)\/(-4) and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116175566 is divided by 490.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**2 + 10*q + 24. Calculate h(-4).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 4829580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 - 3*f**5 - 7*f**5 + (4*f - 4*f - f**2)*(2*f**3 - f**3 - 3*f**3).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25149 + -25149.2. Put -0.04, r, -0.066, 2\/5 in decreasing order.\nAnswer: 2\/5, -0.04, -0.066, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0 - 1 + 3 - 3 + (-1 + 2 - 2)*(-1 - 2 + 1) + (1 + 4 - 3)*(1 - 4 + 1))*(5*i**2 - i**2 + 34*i**2) as x*i**2 + n*i + g and give x.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-25))\/(3\/(-15)). Let w(r) = -268*r - 1. Is w(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -855*r - 5. Let x be c(-2). Suppose 0*a - x = -5*a. Suppose 9*s - 1196 = -a. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 - 2249.\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 5*n + 3. Let l be u(-4). Is 66\/10*(6 + l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2\/7 - 195*u\/7 + 594 = 0.\nAnswer: 63\/2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13554\/594 + 24\/11?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -26. Let t be (b + (-72)\/(-21))*-7. Solve 16 = t*p - 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 18 = 0, 0 = 1835*q - 1832*q + 3*z + 18 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/9 and -77\/234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -21, -73, -179, -357?\n\"Answer: -3*u**3 + 5*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 104150297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 17, 69, 155, 281, 453, 677, 959?\nAnswer: 1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 67*o + 83. What are the prime factors of w(5)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 459804535 times -5\nAnswer: -2299022675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31040109 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqssqqqsss. What is prob of picking 1 s and 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*j**3 - 96838*j**2 + 62983639*j?\nAnswer: 96*j - 193676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2809, 4, 0, -3, 1, -4, -2 in decreasing order.\nAnswer: 2809, 4, 1, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7007, -7014, -7025, -7040, -7059, -7082?\nAnswer: -7109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 - -19) + -24 - -26) + 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n + 16. What is the lowest common multiple of 16 - -1 - (-6 + 14)\/8 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c**3 - 1\/24*c**4 + 0 - 3*c**2 + 0*c. Let x(v) be the first derivative of -16*v**3\/3 + 48. Determine x(s(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 5*x + 1. Let j be 8\/10 - 1428\/35. Let a = -9 + -27. Let p = a - j. Calculate r(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p + 6 = 32*p. Suppose 2*l = 3*h + p, -2*l + 7*l - 20 = 5*h. Suppose 0 = l*v - 37 - 83. Solve 0*y + v = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l - 2*v - 10, 3*v = -4*l + 27. Solve 0 = 3*i + c + 12, l*i + 3*c = i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23 (b) -2 (c) -3 (d) -4\/13 (e) 4 (f) -0.01 (g) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-4)*(-2184)\/(-260)*16\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(180\/(-228) - -1). Factor 6\/19*b**3 + 0*b + 14\/19*b**5 + 0 - s*b**2 + 24\/19*b**4.\nAnswer: 2*b**2*(b + 1)**2*(7*b - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448065 > 447117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37433 and 4386467?\nAnswer: 3403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236 + 232. Put c, 17, 2 in descending order.\nAnswer: 17, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(132) - -1*sqrt(132)))\/(sqrt(48)\/sqrt(4)*2).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - v = -8, 12 = 3*l + 21*v - 24*v. Which is the closest to 4? (a) -3 (b) l (c) -2\/17 (d) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Solve l*a = 4*c + 4, 25 = -3*a - 5*c - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j + 78. Let o be d(-21). Suppose -i = -0 - o. What is the remainder when 72 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 252502?\nAnswer: 252454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12 = 3*d, 0 = 2*d - 0*f + f - 12. Suppose d*p + 490 = 13*p. Is 98 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 6*k - 7. Let q be t(5). Let l be (79 - (16 - 9)) + -7. Let h = l - q. Is 42 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 1\/16*k**4 + k**2 + 1\/24*k**5 + 0 - 1\/6*k**3 + 0*k. Suppose n(i) = 0. What is i?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63930 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00196483683 to six decimal places.\nAnswer: -0.001965","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 23487306322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, m: 5}. Give prob of sequence gmmg.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -21. Let w = -74 + 101. What is the remainder when w is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 19*w + 9. Suppose -2*k = 2*v - 20, 28 = 5*k - 5*v - 12. Let s be f(k). Suppose -3*b + 297 = -s*b. Is b a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1453875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**2. Let b(y) = 4*y**2 - 7*y**2 + 2*y**2. Determine b(n(k)).\nAnswer: -49*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348396 and 812924.\nAnswer: 2438772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*o**2*u - 115*o**2 + 5*o*u with respect to u.\nAnswer: -10*o**2 + 5*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 68*a - 2. What are the prime factors of w(1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15160 + -7228. List the prime factors of x.\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -179 + 184 + (37 - (-4 + 5 + 0))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/296234 and 47\/10?\nAnswer: 1481170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m**2 + 7*m + 70. Let j(r) = -29*r**2 - 15*r - 140. Let d(p) = -9*f(p) - 4*j(p). Let q(c) be the first derivative of d(c). Calculate q(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 19*r**2 - 79*r + 58. What is s(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8)*2 + sqrt(8)) - ((sqrt(104)\/sqrt(4))\/sqrt(2))**2) + (sqrt(26)\/sqrt(2)*-5 - (sqrt(1053) + 1 + sqrt(1053))**2).\nAnswer: -4226 - 122*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 14*s**2 + 3*s - 39. Let z be g(-7). Let y = -282 + z. Solve -y + 3 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) + (2 - 2). Suppose 26 = j + 22. Put j, 0.4, a, 5 in ascending order.\nAnswer: 0.4, a, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**8\/84 - 4*q**7\/35 - 3*q**6\/10 - 4*q**5\/15 - 183*q**2. Determine z, given that u(z) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - 3bc?\nAnswer: -3ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/155 and 59\/15.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/i**(-2\/35))\/i)\/(i\/(i\/(i\/i**(2\/5)))))**20 assuming i is positive.\nAnswer: i**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2898845*b. Let l(k) = k**2. Calculate l(m(p)).\nAnswer: 8403302334025*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000651151402 to 7 dps.\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1341 - -4002?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 113642015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28436259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 552697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4056 and 9672?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17598804 times -5\nAnswer: -87994020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10*3\/(-6) - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-3))\/(4*(-3)\/108). Let k = o + 41. Suppose -k = -z - 3*i, -4*z + 78 = -2*i + 4*i. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 + 229*n + 514. Determine a(48).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47000 - 1363437\/29. Is r > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 88999200, 177998402, 266997604, 355996806, 444996008, 533995210?\n\"Answer: 88999202*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b24 + -5?\nAnswer: 9b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 0 + 0*w + 4 - 80579*w**2 - w + 700795*w**2.\nAnswer: -2*w**3 + 620216*w**2 - w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 389506 divided by 13\nAnswer: 29962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 4. Let h be y(-5). Let j(u) = -145*u**3 + u**2 - 1. Is j(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4360 - -154513?\nAnswer: 158873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 20. Let q(n) = -5*n - 24. Let v(l) = 6*m(l) - 5*q(l). Let t(d) = -68*d. Calculate t(v(c)).\nAnswer: 340*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-208)\/(-32)*(-52)\/(-2197).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -661*h + 352*h - 927 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 92*o. Let n(m) be the second derivative of -3*m - 3 + 0*m**2 - 1\/6*m**3. Calculate r(n(d)).\nAnswer: d**2 - 92*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 19. Suppose 57 = 5*c + 17. Let o be v(c). Solve -o*a = 4*w - 4 - 7, -3*a - 3*w = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26938 + 46774. What is the greatest common divisor of o and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 34. Solve 5 = -3*a - g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 288. Let a be q(0). Suppose r = -21 + a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 78 = -7*a. Calculate the remainder when 72 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 3 - 2*p**3.\nAnswer: -2*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let f(q) be the first derivative of 11*q**5\/30 - 19*q**2\/2 + 14. Let r(b) be the second derivative of f(b). Determine r(o(m)).\nAnswer: 88*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m*t**3 - 389334582*m*t + 355305112*m wrt t?\nAnswer: 6*m*t**2 - 389334582*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3753 - 0?\nAnswer: 3753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - 525181981.1654.\nAnswer: -525181981.1854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doloflfmoul. Give prob of sequence ludo.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-12))\/((-20)\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/183?\nAnswer: 14\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5 - 1319*f**4 - 33291*f**3 + 1420051*f**2 + 2934694*f + 1482672 = 0 for f.\nAnswer: -46, -1, 24, 1343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437218907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133343246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 0*l + 2*l)*(-6*l**3 + 25*l - 25*l) as m*l + r + k*l**3 + g*l**4 + o*l**2 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64, 106, 178, 280, 412, 574?\n\"Answer: 15*v**2 - 3*v + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - f + 10 = 3, 2*z + 10 = 3*f. Let u = -29 + 88\/3. Let t = 58.6 + -59. What is the closest to z in u, 2\/21, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103796801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**6\/30 + 2*a**2 + 9. Let z(o) be the second derivative of c(o). Factor z(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*m**2 + 17*m**2 + 19*m + m**4 - 23*m**2 + 13*m**4 wrt m.\nAnswer: 168*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8290531 to the nearest integer?\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11061.76 + -11071.76226. Let a = 10 + r. What is a rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10745 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 3*sqrt(2448) + -2 + sqrt(2448) - (sqrt(2448) - -1*(4 + sqrt(2448))))**2 - (sqrt(2448) + (1*sqrt(2448))**2 + -3 + -3)*1.\nAnswer: -444*sqrt(17) + 19626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -734258?\nAnswer: 1\/734258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12887*d = -3*m + 12888*d + 23, -4*d = 44 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 43*d - 22*d - 1 - 18*d + 5. Let t(b) = b + 6. Let p be t(-3). What is the units digit of h(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 340*g - 1726. What is j(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 8:09 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 - 21428*v**3 + 1024206*v**2 - 2879820*v = 0.\nAnswer: 0, 3, 45, 10666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 8. Let y = -8 + r. What is the second smallest value in y, 2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2371951*l + 14*l**2 - 2371951*l + 238 in the form z*l + s*l**2 + t and give t.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7\/3 (b) -1\/2 (c) -0.2 (d) 22 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -1\/65, -0.33134.\nAnswer: -0.33134, -0.2, -1\/65, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - d = 0, -2*s - 3*d - 17 = 0. Let n(o) = 99*o**2 - o. Is n(s) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118945 + -118945. Let n = 233\/6 - 1111\/30. Factor -6\/5*v**3 + 0*v + u + 1\/5*v**4 + n*v**2.\nAnswer: v**2*(v - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5217595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -22. Let p be z\/(-54) - 7756\/(-9). Let c = p - 371. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 = -2*k - 5*f, -587*k + f - 30 = -590*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/100*1\/((-6)\/(-8)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223130822?\nAnswer: 2, 111565411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**5\/4 + q**4\/6 - q**3\/3 + 171*q. Determine r(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261570894 by 20120838.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (140\/(-525))\/((-704)\/(-4950) + 4\/(-18)). Solve -1\/3*x**2 + 11\/3 + l*x = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6.2. Let o = -2.45 + 0.05. Let q = 1.6 - o. What is the third smallest value in q, -1\/5, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/7)\/(67 + (-1328256)\/19824)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.428 from -172.\nAnswer: -172.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11783, 11781, 11779?\n\"Answer: -2*p + 11785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 633680, 2534736, 5703160, 10138946, 15842088?\n\"Answer: -m**3 + 633690*m**2 - 7*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 s, and 2 v when four letters picked without replacement from {v: 3, h: 4, d: 1, s: 2, q: 1, j: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/148 and -29\/32?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 2*p - 51 = 0. Which is the closest to 18? (a) p (b) -4 (c) 0.3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, -4 in increasing order.\nAnswer: -14, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -9, -45, -97, -171, -273, -409, -585?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9094270?\nAnswer: 2, 5, 53, 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = -0*o. What is the second derivative of 21*b + 1 - 6*b - b**4 - 11*b - 3*b**o + 3*b**4 wrt b?\nAnswer: 24*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/2)\/(-3 - 0). Let a = -4743\/7 + 677. Which is smaller: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48*0.12.\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 6*b**2 - b - 1. Let j be 1\/2 + (-13)\/2. Let g be t(j). Is 188 - (-9)\/(-2 + g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 11. Let a be j(-10). Suppose -a = -l + 1. Suppose -c = -5*h + 24, 6 + 5 = l*h + c. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q\/(q*q**23))))\/q)**(-28))**(7\/5) assuming q is positive.\nAnswer: q**(4704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmbfmfwtbmwmmmgmwbm. Give prob of picking 1 f and 1 w.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 14000*p**3 + 10 - 4879*p**3.\nAnswer: -18879*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1453*l**2 - 119*l - 1455*l**2 + 119*l. Let b(z) = -27*z - 2. Let w(n) = 13*n + 1. Let h(j) = 3*b(j) + 5*w(j). Calculate i(h(f)).\nAnswer: -512*f**2 - 64*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) - (-4 + sqrt(475)*-1).\nAnswer: 4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 17*y - 255. Solve -5*d + 10 = -4*h, -5*h - 12 = 2*d + y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - u**2 - 2*u - 5. Let h(n) = -2*n**2 - n + 235. Let c be h(-11). What is s(c)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230 - 111 - 119 + 278*i to x*i + o and give x.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**6\/120 - 7*r**5\/60 - r**4\/24 - r**3\/2 + 77*r**2 - 2. What is j(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-4\/9)*m\/(m\/m**(-1)))\/(m*m\/((m\/(m*m**(-1)*m)*m)\/m)*m)**(1\/48) assuming m is positive.\nAnswer: m**(55\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 11 = -0*h - 5*h, 4 = 2*h - 2*v. Suppose 3*z = -5*l + 2*z + 116, 3*l - 3*z = 84. Calculate the highest common divisor of h and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 7*n - 10. Let y be j(5). Suppose 0*c - c = -2*v - 2, 4*c - 4*v - 16 = y. Is 5 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68797421856 less than 1.658?\nAnswer: -68797421854.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/8 + 5\/(-20). Let h(t) = 129*t**2 - 4*t - 6. Let n be h(v). Let z = n + -301. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -28*y - 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 27 + 13. Let r = o - -18. Suppose 5*v - r = -w, -v = v - 10. Calculate the remainder when w is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = -5*y, -5*y + 0 = 4*w - 16. Suppose y = 5*q - 5. Let v be (4\/(-12))\/(q\/(-9)). Solve 2 = v*d - 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 99, 172, 243, 312, 379, 444?\n\"Answer: -u**2 + 76*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6709 + 286?\nAnswer: -6443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88954032?\nAnswer: 2, 3, 1853209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.2 (b) -0.2 (c) -3\/2 (d) 19\/30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1145 + 289. Let r be c\/5*25\/(-10). Suppose 4*i = r + 312. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13033020 divided by 394940\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + -4.08. Let l = 89.5 - 90. Let p = -0.7 - l. What is the nearest to 0 in o, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001011111010101 (base 2) to base 14.\nAnswer: -45d09","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1)*a)\/a)**50\/(a*a\/a**(-6)*a**(-1\/7))*(a\/((a*a**(-1\/3))\/a)*a)**(-1\/40)\/(a*a*a\/a**(-2\/3)*a*a)**(-34) assuming a is positive.\nAnswer: a**(155191\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**14)\/w)\/(w*w**(-18))*(w**2\/w)**43)**31 assuming w is positive.\nAnswer: w**2294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.1. Let y = -12\/19 + 10\/19. What is the third biggest value in y, 3\/7, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = -19*p + 14*p - 33*p. Calculate the remainder when 1111 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**5\/60 - 7*r**4\/24 + 7*r**3\/3 - 13*r**2. Let s be u(14). Suppose -j + 3*h = -2*j + s, 5*h - 455 = -4*j. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2\/8 - 28977*d\/8 - 26664475\/4 = 0.\nAnswer: -27002, -1975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -2 (b) 3 (c) -0.35 (d) 1775\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435065893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a century?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*i**3 - 8*i**2 - 5044*i + 12322565.\nAnswer: 30*i**2 - 16*i - 5044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 796194\nAnswer: -31847.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11094 + -5726. Let b = j + -5367.999997167. Round b to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -37*f**2 + 12*f - 13. Determine q(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 3*b + 5*b)*(2*b + b - b) - 3*b**2 - 3*b**2 + 0*b**2 - 4 + 4 - b**2 in the form n + s*b**2 + q*b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r**2 - 2*r**2 + r**2 to the form z + p*r + w*r**2 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/(-60))\/((-3)\/(-15)). Let v = 95 + -187\/2. Let 0*r**3 - i*r**2 + 3\/4*r**4 - v*r + 0 = 0. What is r?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*d + 13*d = 618 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4578)\/(-10) - 1\/(-5) and 18.\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**4\/4 + 7*m**3\/3 + m**2 - 37*m - 62. Let n be b(-7). Is -52 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*m + 12 = -535*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2164 + 3604 - 1450 + m + 4117*m**2 + 1687 wrt m?\nAnswer: 8234*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -67 (b) 0.0011 (c) -2.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8765399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l. Let i(c) be the first derivative of c**3 - 127. Determine i(r(w)).\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + u)*(2*u - 4*u + 0*u) + (-3*u + 0*u + 7*u)*(3*u + 3*u - 4*u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(1179\/(-54) + 7)*2. Let m = -3 + 6. Suppose -5*n + 3*c + 426 = -c, n + m*c = k. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48 - -32)\/240)\/(-1).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2423169 is divided by 392.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83991361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001976882 rounded to six decimal places?\nAnswer: -0.001977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z, -b + 16366 = 71*z - 70*z. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Let k(a) = 23*a**2 + 18*a. Let v(f) = -4*c(f) - k(f). Find the second derivative of v(m) wrt m.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11484)\/(-6) - (1 + 4)?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*3)\/(sqrt(448) + (sqrt(448)*2 - sqrt(448)) - sqrt(448)) - (-2*1*(1 + sqrt(363))*-2)**2.\nAnswer: -5824 - 701*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.66. Let l = 139.87 + -139.810037. Let b = l - g. What is b rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*f - 3*m + 114, 0 = -2*m - 8. Calculate the highest common divisor of f and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3190 divided by -638?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6 + (-2)\/6)*21\/(-6).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/24)\/((-9)\/(-90)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-75562*d + 75562*d + 851*d**2).\nAnswer: 2553*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/7, 2\/11, 1\/26, 0, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btbe when four letters picked without replacement from beubutetbebbb?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 23. Let v = u - -2. Calculate the remainder when v is divided by 144\/14 + (-8)\/28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2. Let v = 179 + -177. Let x(u) = -47*u + 45*u + 2 - v. Calculate z(x(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*p - 28 = 0, -3*h - 5*p = -823 + 863 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -13*b + 0*b**3 - 1\/12*b**4 + 0 + 3\/2*b**2. What is the first derivative of t(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 - 103. Calculate the remainder when 478 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 11*o**2 + 26*o + 32. Calculate the least common multiple of g(-13) and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3\/6 - 9*a**2 - 623*a\/6 - 95 = 0.\nAnswer: -38, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {z: 5, l: 4, o: 10}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9167 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.206 in 0.2, 0.1, -5.1, 30?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3 + 23 = 0. Let x = 6 + m. Suppose x*v + 8 = 2*c + 4*v, 5*v = -c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 7d0?\nAnswer: -7ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2272, -5260, -8246, -11230, -14212?\nAnswer: -17192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/65, -2, -1\/2, -1\/6?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -33*z - 2166. Let i(m) = 149*m + 8663. Give -2*i(p) - 9*r(p).\nAnswer: -p + 2168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, b: 1, d: 7}. What is prob of sequence db?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**2*t**3*u**2 - 22*i**2*t**3 + 3*i**2*t**2*u**2 + 28*i**2*t**2 - 2*i**2 + 14*i*t**3 - 16*i*t*u**2 wrt t.\nAnswer: 18*i**2*u**2 - 132*i**2 + 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*w**2 - 9*w - 124*w**2 + 5*w + 3*w.\nAnswer: -6*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f*v**4 + 59*f*v + 248*f - 2*o*v - o wrt v.\nAnswer: -16*f*v**3 + 59*f - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -469 > -435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22.5+2598\nAnswer: 2620.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-419)\/(113130\/1296))\/((-3)\/(-10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2507 + 2?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:22 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 6495*m - 351260.\nAnswer: 5*(m - 52)*(m + 1351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 522*p - 3602. Let w be d(-7). Solve -3*z + 4*o - 52 = -33, 3 = w*o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-8\/7)*z\/((((z**(-8)\/z)\/z)\/z)\/z*z))\/((z\/(z\/z**(-5)))\/(z\/z**(-3)))*z**(-4\/7)\/z**5*(z*z**(2\/5))**(10\/9) assuming z is positive.\nAnswer: z**(1205\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 7 - -41 - 18.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-446)\/(-669))\/((-2)\/(-30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -1, -13 in ascending order.\nAnswer: -13, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + 13685\/(-782) + (1 - -5)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-18) + 2\/(18\/33). Let j be 10 - 1 - 1 - -1. Solve -5*o + 15 = -4*f + j*f, -2*f + i = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5712 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60021 - 4?\nAnswer: 60016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (-5*1*(-1 + sqrt(500) + 0 + 4))**2 + 2).\nAnswer: -38169 - 4500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*f**5 + 9*f**5 - 11*f**5)*(8 - 3 + 2) - f**5 + f**5 - 8*f**5.\nAnswer: -162*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 11:22 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(209) + sqrt(209)*-1) + sqrt(209) - sqrt(209))\/((sqrt(132) - (-1*sqrt(132) - sqrt(132)) - sqrt(132) - sqrt(132))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 13 - 2*x**4 - 18*x**2 + 14*x - 3 - 14*x**3 = 0.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 14829?\nAnswer: 14829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -173549 and -173603 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4 + -481513489557.\nAnswer: -481513489554.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246*i**5 + 343*i**2 - 875*i**4 + 1753*i**4 - 879*i**4 wrt i?\nAnswer: -14760*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17178.13373 to the nearest integer.\nAnswer: 17178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 14 = 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + 21*m - 297. Let u be i(-14). Which is the biggest value? (a) -129\/7 (b) 0 (c) -1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 971111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*l**5 - 584*l**4 + 1018*l**3 - 568*l**2 + 104*l = 0. What is l?\nAnswer: -26, 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o**4 - 82*o**3\/3 - 4*o**2\/3 = 0.\nAnswer: -1, -2\/39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -724040 divided by 5?\nAnswer: -144808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 31. Suppose -m - s = -5*m + 24, 2*m = 3*s + 12. Let x(q) = 2*q - 31. Let u(j) = m*t(j) + 5*x(j). What is the first derivative of u(z) wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-138)\/15*5\/(-2). Suppose 2*m = 3*u - 39 - 41, -5*u + 124 = -m. Let a = g - u. Which is greater: a or -4\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 800179212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1441, 0 in descending order.\nAnswer: 4, 0, -1441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 1 + (5 + -11 - 5) + 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.16609 - -0.1475\nAnswer: 0.31359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 4 - 4)*(-255 + 499 + 13*p**2 - 249 + p).\nAnswer: 13*p**3 + p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 522331\/450648 + 1\/40968. Suppose -10*v = -7*v + 9. Find the common denominator of d and -23 + 2 - v\/12.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551.90565 seconds to days.\nAnswer: 0.006387796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(12\/7)*r**(-3\/11))\/(r**41*r\/(r**4*r)) assuming r is positive.\nAnswer: r**(-2738\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -159084 and 0.1?\nAnswer: -15908.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 9*a**2 + 9*a - 6. Let k be r(8). Suppose 0 = -2*o - q + 11, k*q + q - 19 = -4*o. What is the first derivative of 7*n - o*n + 1 - 3*n**2 wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 10*a**2\/9 + 3748042*a\/3 - 4497652\/9 = 0.\nAnswer: -1124413, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.8 + -0.2. Let f = 11 + v. What is the closest to 3 in 1\/4, -3\/8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 - 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + -2 + 1 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 21*a - 2. Is x(-10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.5 (b) 0.101 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82 + 51*w + 17 - 41 + (1 - 2 + 0)*(1 - 1 + 2*w).\nAnswer: 49*w + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0)*30\/27 - -2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z**3 - 4*z**2 - 9*z + 3. Let h be f(-5). Suppose -15 = -5*l, -4*l = j + h + 742. Let o = j + 4762. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f. Let m(o) = 2318593*o**2. Give c(m(s)).\nAnswer: -4637186*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 38032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**2)**(3\/8)*(((((b*(b*b\/b**7)\/b)\/b*b)\/b*b*b*b*b)\/b)\/b)\/((((b\/(b\/(b\/(b**1\/b))))\/b)\/b)\/b*b) assuming b is positive.\nAnswer: b**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 6. Let y = 28 - 16. What is the smallest common multiple of y and q(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 t when four letters picked without replacement from gugtutttt.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1 - 7 + 0 + 6*v. Let f = 15 + -1. What is the remainder when f is divided by t(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/8 - 17*j\/4 - 111\/8.\nAnswer: (j - 37)*(j + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*p = -12, 0*p + 6 = 2*x - 2*p. Suppose -x*k = -20 + 4. Let u = 10 - 3. What is the remainder when u is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71995 is divided by 937.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 + 12 = 0. Suppose 0 = -6*n + p*n + 45. Let m = n + 21. Solve -3*z = 2*f - 3*f - m, -4*f - 12 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3197 is divided by 168?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50514768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0) + (7 - 1). Let r(k) = 28*k - 649. Let x be r(24). What is the second derivative of 23*u + x*u - 16*u + 8*u**t wrt u?\nAnswer: 160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 161886574*a - 154889455?\nAnswer: 161886574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3503 * -81.668\nAnswer: 286083.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(((-2550)\/34)\/1050).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 5:05 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/7 - 178*l\/7 + 680\/7 = 0.\nAnswer: 4, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66 - -4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**7\/1470 + h**6\/210 + 2*h**5\/105 - 16*h**3\/3 + 13. Let r(x) be the third derivative of b(x). Factor r(k).\nAnswer: -4*k*(k - 4)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4324*o + 4343*o - 4 - 8703*o + (-4*o + 5*o + 0*o)*(0 + 2 - 3) + 0*o - 3*o + 5*o - 3*o + 6*o - o.\nAnswer: -33*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 54, -2, 4 in ascending order.\nAnswer: -6, -2, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*h - 6, f + 3*h - 2 - 3 = 0. Let d = 4 + f. Let b(g) = -g**3 - g**2 + g + 5. Let i be b(d). Sort i, 1, -1.\nAnswer: -1, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741*s + 65 = 754*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 603\/(-36)*(-47 - -1). Let w = 785 - i. Calculate the common denominator of w and 16\/19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1766065 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003658025 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -33. Suppose -p*v = -5 + 1. Suppose 5*x - 117 = -4*h, -3*x - 88 = -v*h - 13. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 88569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137245 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 + 53963238*x - 728007763861161 = 0. Calculate x.\nAnswer: 26981619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 + 0.39. What is the nearest to j in 5, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/(-10) + 32\/(-8). Put 18, -3, i, 8 in increasing order.\nAnswer: -3, i, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47167 (base 9) to base 4.\nAnswer: 13230001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, 1, 5 in ascending order.\nAnswer: -3, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.183 or -5?\nAnswer: 1.183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*b = -4*x, -4*x - 2*b = -30. Calculate the lowest common multiple of 18 and (3\/x + 1)\/(5\/75).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 2*g + 899448 - 899448.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*g + 468 + 412 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:39 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 4*g**2 + 6*g + 4. Let a be v(-5). Let h(n) = -n. Let w be h(-5). Suppose 4 = -4*d, -r - 5*d = r + w. Which is bigger: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 0.2, 2\/63 in decreasing order.\nAnswer: 2, 0.2, 2\/63, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 79624 + 5098. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -0.5 (b) -0.14 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**4\/3 - 107*w**3\/6 + 36*w**2. Let d be n(14). Solve -2*k = -d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -110*l**3 + 2*l**2 - 2*l + 1. Determine v(1).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 79940 to the nearest 1000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (228\/2565)\/(-14*14\/(-1960)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18894275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (-158)\/(-8) - 14\/(-56).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*j - 5 = 0, 64*p - 2*j - 10 = 59*p. Calculate the greatest common divisor of p and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861712 is divided by 192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*g**2 + 2*g - 2*g + 1004*g**2.\nAnswer: 1652*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*t - t + t)*((0 - 3 + 1)*(-1 + 0 + 0) - 2 + 2 + 1 + 0 + 0 + 2 + 2 + 5 - 6 + (2 + 1 - 1)*(-3 + 1 + 0) + 2 - 1 - 2)*(3*t - 3*t**2 - 3*t).\nAnswer: -57*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 18.9. Let w = -24 - -21. Let l = -2 - w. Is m less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*n + 100. Suppose 0 = -3*v + n - 2. Solve -r = 4*r - v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16765 - -2?\nAnswer: 16767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**5 - 2868*f**4 - 26176*f**3 + 29040*f**2 = 0.\nAnswer: -10, 0, 1, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 2*c + 5, -7 = 4*c - 3*q. Let i be (-7)\/c*(7 + (-712)\/56). Solve -4*j - j = -i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, -0.9, -3\/2, -2 in decreasing order.\nAnswer: 5, 2, -0.9, -3\/2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/2 + 10 + 1)*(-8)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*o - 396741 + 391026 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*s - 31, 2*s + s + 3*a - 21 = 0. Calculate the least common multiple of s and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9881 + -9868. Let s(z) = 2*z - z + 6 - 3. Let b be s(g). What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 3*p - 4. Let t be c(2). Suppose j + t*b = -15, b + 2 = -b. Let q(s) = -10*s + 54. What is the hundreds digit of q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, 49, 0.1, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 7:33 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = -4*v + 11799. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31702 (b) -4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 7 - 5. Let o(v) = -v**3 + 7*v**2 - 8*v + 9. Let k be o(x). Let b = k - 2. Let n(m) = m**3 + 6*m**2 + 7*m - 2. Determine n(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -15261 + 2877. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1218\/(-108) - 3*2\/27 and -79*1\/14 + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*3 - (-6 - -2 - -2). Solve y*s - 8 = 4*i, -5*i + 5*s = 4 + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000071415787 to seven decimal places.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 3.147907.\nAnswer: 0.3147907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/456302 and -139\/651860.\nAnswer: 4563020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354.6657 centuries to millennia.\nAnswer: 35.46657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103628719?\nAnswer: 17, 6095807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -16*u**3 - 14*u - 7. Let k(i) = 17*i**3 + 13*i + 6. Suppose 4 - 22 = -3*r. Let o(g) = r*t(g) + 7*k(g). Find the second derivative of o(n) wrt n.\nAnswer: 138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127.17 - -198\nAnswer: 70.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*f = 65, 0 = 5*s - 2*s + 3*f - 150. Suppose 5*v = -0*v + s. Let i be (-48)\/(-10) + 2\/10. Solve w - 30 = i*z, -2*z - v = 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 + 6*p**2 - p**2)*(-95 - 344*p**2 - 358*p**2 + 704*p**2 + 5*p) as w + r*p**4 + j*p**3 + h*p**2 + x*p and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, j: 4, b: 1, y: 3, w: 3, h: 1}. Give prob of picking 1 y and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(108) + -1)*6 - (sqrt(108) + 0)*3)**2*3.\nAnswer: -648*sqrt(3) + 3023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i. Let c(h) = 2*h. Suppose 24 - 74 = -5*s. Let y be (-22)\/(-4) + 1\/2. Let l(p) = s*c(p) + y*w(p). Let v(b) = -2*b. What is v(l(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 473377 + 473402 + t)*(-5 - 1 + 0).\nAnswer: -12*t - 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/10 + 4)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/18*18\/(6 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1643 - 660. Let z = 576 + -104. Let a = m - z. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + -88. Suppose -65 = -k*h + m, m + 97 = 3*h - 0*m. Calculate the remainder when 157 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - 3*m + 2. What is k(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000108 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**3\/3 - y**2 + 2*y - 53. Let p(r) = 2*r**2 + 5*r - 5. Give -2*p(h) - 5*v(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 3*i + 3*i + (-4 + 4 + i)*(1 - 5 + 3) - 2 - i + 2 + 0 + 0 - i + i + 4*i - 4*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 43 + (-63 - -50) + 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3034 + -1?\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 101121202012210 (base 3) to base 14\nAnswer: a6cc42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2 + 8*n - 5. Suppose 2*z + 4*o = -28, -37 = 2*z - 261*o + 266*o. Determine c(z).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20161 - -2?\nAnswer: -20156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-28) - -6*(-4)\/(-224)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 0 + -168 + 0 + 17?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 5*k**3 + 2*k**3)*(-83*k**2 - 59*k + 59*k) + (-2*k**2 + k - k)*(-k**3 + 0*k**2 + 0*k**2).\nAnswer: 168*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 - 134*p**2 + 10. Let l(d) = -d**3 + 67*d**2 - 4. Give 5*l(t) + 2*x(t).\nAnswer: t**3 + 67*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 9*y = -50324. Suppose -y = -26*v + 11072. Calculate the greatest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - 19\/(627\/198).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*h + 1365*h + h**2 - 477*h - 3*h**2 - 441*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/49)\/((-1)\/(-7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u = 11*u + 13*u + 52. Let o = -10 + 14. Solve 5*z + o*b = -u - 13, 4*b + 6 = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 0.17. What is the smallest value in 6, -2\/3, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 + 3*q**2 - 6*q**2)*(-32 - 69 + 14) as j*q + f + w*q**2 and give w.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -74. Let v be ((-12)\/8)\/(-4 - (-141)\/k). Which is bigger: v or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 7*u**2 + 5*u + 4. Let q be j(-6). Let n be (-12)\/(-20) + 694\/q. What is the highest common divisor of 28 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2)\/((-132)\/308).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -341?\nAnswer: 102.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*r - 56 = -0*c, -2*c - r = 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 21747?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*r - 17 = 0, -3*r = 1 + 2. Suppose 12 = 4*v - 4*l - l, -3*v + 3*l + 9 = 0. What is the biggest value in -7, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -39*o + 36. Calculate r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -59 + -51 + 59 + 26\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 9*w**2 - w - 1. Let h be o(-9). Let n(k) = k**2 - 9*k + 9. Let y be n(h). Sort -5, y, -3 in decreasing order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19697 or 3112065\/158?\nAnswer: 19697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -37*s**6\/720 - s**5\/24 - 5*s**4\/3 - 24*s. Let i(d) be the third derivative of k(d). Does 15 divide i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 6:06 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49268995 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**5 + 2058*p**4 - 60717*p**3 - 129690*p**2 = 0.\nAnswer: -2, 0, 33, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(4533\/906 - 5). Let n be -4*1 + o + 20. Is -2 - ((1 - -4 - 2) + n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 2, k: 4, t: 3, g: 1, b: 1}. What is prob of picking 1 m, 1 t, and 1 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 34*p**2 + 62*p - 49. Give o(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 26*f - 282. Give t(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -3, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 96*m**3 + 18*m**2 + 54*m - 8. Let s(w) = w**3 + 3*w**2 + 9*w - 1. Calculate c(j) - 6*s(j).\nAnswer: 90*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = m - 18, -4*r + 2*m - 3 + 17 = 0. Suppose -z = 0, -3*z = -x - 4*x + r. What is the nearest to -0.2 in -2\/11, x, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 9:54 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 11*q = -76 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68084000 rounded to the nearest 1000000?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a**(5\/6)*a)*a)*a**(6\/13)*a*((a**(-5)*a*a)\/a)\/(a\/(a*a**(6\/11)*a)))**(-1\/43) assuming a is positive.\nAnswer: a**(-721\/36894)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/6 of a week?\nAnswer: 38640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2. Let x(t) = -3*t**2 - 2*t + 2. Let i(d) = 272*d**2 + 14*d - 14. Let m(p) = 2*i(p) + 14*x(p). Give m(z(g)).\nAnswer: 4518*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -245, -6, -0.0447?\nAnswer: -0.0447","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 + 6*n**3 - 59*n**2\/3 - 420*n + 4900\/3.\nAnswer: (n - 5)**2*(n + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -183, -1415, -4755, -11259, -21983, -37983?\n\"Answer: -176*p**3 + 2*p**2 - 6*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 1567*m + 28601. Calculate y(-18).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (1 + sqrt(2)))*3 + sqrt(8) + 2 + (sqrt(140)\/(2*sqrt(7)))\/sqrt(10).\nAnswer: -1 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-1909)\/(-276) - 3\/(-4))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*s**2 + 52*s**2 + 70*s**2 - 118*s**2 - 211*s**2 to o*s + v*s**2 + m and give v.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 341696 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2730208 is divided by 1365016.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/((-156992)\/(-9240) - 17)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**6\/120 + t**5\/24 - 5*t**4\/24 + t**2. Let i(f) be the second derivative of k(f). Let s(r) = 5*r + 4. Give -3*i(j) + 4*s(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 7 + 5 - 2*d**3 - 4*d**2 + 3 as m + p*d + n*d**3 + i*d**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 181, 57, -11 in increasing order.\nAnswer: -11, 57, 58, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {h: 4, o: 2, j: 2, t: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0301, 79, -1\/28 in descending order.\nAnswer: 79, -0.0301, -1\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16683 - 3?\nAnswer: -16686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30003 + v**2 - 30003.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-12)*z**(-5\/4)*(z**(-13))**(-37))**(-2\/49) assuming z is positive.\nAnswer: z**(-1971\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 1\/30*j**5 - 8\/9*j**3 - 1\/18*j**4 - 20 + 4*j**2 - j. Let x(v) = 0. What is v?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4239 - -0.2439. Suppose y - 3 + 0 = n, 4*y - 21 = -5*n. What is the second biggest value in u, 3, y, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:13 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - -10. Let z = x + -9. Calculate the smallest common multiple of ((-9)\/(-2))\/(3\/8) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 776943 - 776871 = 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53, -176, -375, -644, -977, -1368, -1811?\n\"Answer: x**3 - 44*x**2 + 2*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -43*s + 52. What is q(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - z - 3*z)*(29*z**2 - 56*z**2 + 3*z**2 + 3*z - 3*z + 2*z**2 + 3 + 2*z**2 - 3 + (-1 + 1 - z**2)*(2 - 2 + 1))*(-3*z - 7*z + 3*z).\nAnswer: 147*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*j + 10, 3*j = -a - 3 - 2. Let t(g) = -3*g - 9. Let u be t(-5). Suppose -u - a = -m. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-49)\/39 + (-284)\/(-213))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0 + 2*y + 1\/6*y**3 + 0*y**2. Let a(x) = 10*x + 15*x - 54*x + 8*x + 13*x. Determine a(v(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omxmiixxxi. Give prob of picking 1 x and 1 o.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 9*d + 71. What is the remainder when 47 is divided by r(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 s, and 2 y when four letters picked without replacement from {o: 1, b: 3, s: 4, y: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (300\/(-200))\/(3\/(-14)). Solve -n*a + 3*a = 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(105)\/(sqrt(48) + 2*sqrt(48))*-6)\/((sqrt(2940)*2)\/(2*sqrt(12)*-3)).\nAnswer: -9*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -343*s + 125*s - 505 - 124 - 410*s wrt s.\nAnswer: -628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*m - 7*m + 15, 5*p - 9 = -3*m. Let n = 2 + p. What is the lowest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + k + k - 4, -3*q + k = 2. Let y be (6 - 2) + 0\/2. Find the second derivative of q*u + 3*u**y - 3*u + 10*u + u**4 wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*x - 2)*(1 + 0 + 1 + (10 + 4 - 8)*(-1 - 1 + 3))*(3*x - 3*x + 2*x).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -29\nAnswer: 19\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8393245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7128.464 milligrams in nanograms?\nAnswer: 7128464000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548149?\nAnswer: 3, 849383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 966 * 0.2.\nAnswer: 193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-12)\/(-9) + 1. Let m(h) = h. What is m(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 854 and 61?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 57007*232.34\nAnswer: 13245006.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*147\/245*11\/(-9)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 7095, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*u + 29752 = 0, 0 = -4*f - 3*u - 20145 + 79634. What are the prime factors of f?\nAnswer: 2, 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**7\/840 - w**4\/6 - 4*w**3\/3 + 2. Let y(z) be the third derivative of a(z). What is the first derivative of y(d) wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*n - 67, n + 2*x + 12 = -2*x. Let m be ((-4)\/(-10))\/(n\/(-40)). Which is greater: 3\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-16)\/(-4) + -3. Let a(o) = o**3 + 11*o**2 - 7*o + 5. Let y be a(-7). Suppose 14*b - 520 = y. Calculate the highest common factor of b and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 17 - 2. Suppose 1449 = v*j - 12*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 0\/1 + (-85)\/30. Let z = 5\/42 + i. Factor -1\/7*h**3 - 2\/7 + z*h**2 + 1\/7*h.\nAnswer: -(h - 2)*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*r - 117 = -251*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(-4*u + 4*u + 3*u)*(731986 - 1991*u - 731986).\nAnswer: 5973*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42942, 85839, 128722, 171591?\n\"Answer: -7*x**2 + 42918*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -42, -77, -128, -201, -302, -437?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 11*c - 9. Let a be x(-10). Let t(g) = -102*g**2 + 0*g - 3*g + 106*g**2 - g**3 + a. Calculate t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22645?\nAnswer: 5, 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 77?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 7*f**2 - 13*f + 8. Let v be i(4). Let m(g) = -5*g + 30. Let h be m(6). Solve -4*x + v = h, -w + 0*w - 3*x = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 143573734*a**2 - 325100650?\nAnswer: 287147468*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18762 and 1384376.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 19*a**2 + 99*a + 81. Give t(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13362*d**5*k + 2*d**2*k + 579*d**2 + k wrt d.\nAnswer: -801720*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1943400 and 2500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - t + 4. Let r(j) = 1. Let d(g) = a(g) - 5*r(g). Let y(h) = 12*h**2 + 18*h + 18. Let p(u) = 18*d(u) + y(u). Let z(w) = -5*w. What is z(p(l))?\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2452177025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -493*t - 87. Let f be k(-2). Suppose 4*x = l - 365, 4*x = -3*l + f + 244. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8) + 475\/20. Suppose -4*m = -m - z. Suppose m*x - 539 = -19. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*k**2 - 12 + 12)*(-3*k**2 - 4*k**2 + 0*k**2)*(-3*k + 0*k - 7*k).\nAnswer: 2030*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-126)\/(-162) + 2\/(-6). Let v = 0.71 - 0.7. Let c = -0.01 + v. What is the third smallest value in -5, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -20. Solve -25 = -5*w + 4*w - o*p, -25 = w - 5*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99, 108, 127, 162, 219, 304, 423, 582?\n\"Answer: s**3 - s**2 + 5*s + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d - 206 = 16 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.9625046 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3863.1 - -3863. Which is the smallest value? (a) 2 (b) o (c) 0.3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32201*r**4 + 16098*r**4 + 0*r**2 + 5*r + r**3 - 5*r**2 + r**3 + 16104*r**4 to j + t*r + n*r**2 + g*r**4 + m*r**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -53 - (-576 + 515)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 + 6*s - 73*s**3 + 20 + 74*s**3 - 4*s**2 - 4. Let t be o(8). Solve 16 = -t*n + 4*n - 3*r, -2*r - 4 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 23*q**2 - 161*q - 3713. Calculate f(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 1812*z + 40200. Let w(t) = t. What is k(w(d))?\nAnswer: -d**2 + 1812*d + 40200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, -2\/11, 0.009, -0.3 in increasing order.\nAnswer: -0.3, -2\/11, 0.009, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.63 + -28.37. Let o = c + 29.91. What is the nearest to 0.3 in o, 1, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -41*v**2 + 11*v - 1. Let r(h) = 2*h**2 + 3*h. Let y(n) = -j(n) + 4*r(n). Calculate y(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90241043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106 by -19.\nAnswer: 106\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m**2 + 9*m**2 + 6*m**2)*(-473 + 548 + 398) to n*m**2 + p*m + j and give n.\nAnswer: 3784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -3, 2\/7, 0.9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178191451 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 8*m + 19. Determine h(-10).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*x + 15, 5*x = 36*h - 34*h + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(((-6)\/(-70))\/((-4743)\/3689)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 + 7*t**2 - 7*t - 3. Let k(g) = 257*g**3 + 283*g**3 + 1 + 274*g**3 - 2*g**2 - 813*g**3 + 2*g. What is 6*i(v) + 21*k(v)?\nAnswer: -3*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598534 is divided by 1956.\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*a - 66, 5*d - 78 = -62*a + 61*a. Calculate the greatest common factor of 405 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -11. Let v be (-6)\/(-27) + h\/(-9). Find x such that 1\/3*x**v + 0 - 1\/3*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*h - 12 = 0, f = 3*f - 3*h + 5. Let p(t) = -17*t + 5. Let v(o) = 33*o - 9. Let u(s) = 7*p(s) + 4*v(s). List the prime factors of u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69431 rounded to two dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -12*s - 14, -59077*s + 7*m = -59078*s + 11*m + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017766 to seven dps.\nAnswer: -0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2049*g**4 - 2174*g**4 - 2*g**3 + 1272*g + 4222*g**4 as p*g**3 + j*g + b*g**4 + o + t*g**2 and give j.\nAnswer: 1272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26323\/15 + -1755. Which is the second smallest value? (a) r (b) 0.2 (c) -0.8 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -403*a**2*g**4 + 25*a**2 - 5547*a + 27*g**4 wrt g.\nAnswer: -1612*a**2*g**3 + 108*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g - i = 102, i - 80 = -3*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 6:33 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**4 - 987246*o**2 + 6*o - 1156612603 wrt o.\nAnswer: -8*o**3 - 1974492*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -600 (base 10) to base 16\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 124*q + 4732, -5*z - 4882 = -4*q - 5054 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 3, g: 6, l: 5, y: 3, k: 2}. Give prob of sequence ykz.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.28 - 0.58. Which is the closest to 1? (a) 1 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -135, -126, -65?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from aaqhkaqhyjahyhhkh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*g + 42 = 0, 3*g - 38 = -4*l + g. Solve -4*s + 2*h = -1 - l, 0 = -s - 4*h + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213336 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/4 + o**2\/4 - 3*o\/2 = 0. What is o?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 103.072ng?\nAnswer: 0.000000103072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4389 and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -10*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 (base 6) in base 5?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3\/5, 0.3, 2\/7, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2640*o**2 + 20 - 18*o - 2641*o**2 + 46. What is a(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/1 + (-4)\/(-10). Let a be 4\/(-22) + (-24165)\/495. Let o be (-14)\/a - (-2)\/(-7). Sort o, s, 5 in decreasing order.\nAnswer: 5, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6*p + 1)*(-7 + 0 - 6).\nAnswer: 78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.5, 1\/3, 0.5, -0.11992?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 + 0 = 0. Let h(b) = b + 7. Let n be h(-4). Let k be 12\/(n*u\/108). Calculate the greatest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 3 (c) -17.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 4*q**2 - 2*q + 6. Let o be p(4). What is the smallest common multiple of (-2 + 0)\/((-10)\/50) and -3*(14\/(-3) - o)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -1.7, 0?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -12, -15, -10, 9, 48, 113, 210?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 = -4. Let 3*a**2 - 22*a**3 + a + x*a**4 + 25*a**3 - 3*a**4 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34097 (b) 0.3 (c) -2\/3 (d) -4\/3 (e) 2\/9 (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, n: 3, s: 9}. What is prob of picking 2 s?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from qxlxyyllxxyqlvylxyq.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - b - 3. Let c be l(-5). Suppose -h + 2*h = 2*m - c, -5*m + 155 = 5*h. Calculate the common denominator of 342\/m*4\/(-3) and 131\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 4848495.\nAnswer: 4848500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -62, -127, -194, -263?\n\"Answer: -t**2 - 62*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328 and 4304836?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -107*g**4 + 4*g**3 + 97*g. Let x(w) = -214*w**4 + 7*w**3 + 193*w. Let a(s) = -7*t(s) + 4*x(s). Find the second derivative of a(h) wrt h.\nAnswer: -1284*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2178))\/(2*sqrt(9)*6).\nAnswer: 11*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 4316821.1?\nAnswer: 4316821.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 2 + 2*n + 0*n**4 + 0*n**3 + 1\/90*n**5 + 0*n**2. Let v(j) be the first derivative of z(j). Factor v(i).\nAnswer: 2*i**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11339, 11358, 11389, 11438, 11511, 11614?\n\"Answer: q**3 + 12*q + 11326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3284529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/12 - 188\/(-18)*438\/(-584)) + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1 (b) -9 (c) -933\/10 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2300*d + 1111*d**2 + 4606*d - 2305*d - d**3 as u + n*d**2 + o*d + f*d**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/545 + -1076\/3815. Which is the closest to 2\/3? (a) i (b) 0.09 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1277 + 1?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39122822 is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192809 and 1717?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 253.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -394837227*z**3 - 2628*z**2 + 7*z - 2017 wrt z?\nAnswer: -2369023362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 + 160. Suppose c - x = -7. Suppose -c = -4*h - h. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 130, 488, 1094, 1960, 3098, 4520?\n\"Answer: 2*r**3 + 112*r**2 + 8*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154566 and 837?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 267.3476888047 from -16.\nAnswer: -283.3476888047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/13 - 1\/((-39)\/(-6)). Let m be 0\/(2 - 2\/2). Let z = m + r. Solve -5*t - 14 = 3*c, 6 = -4*t - z*c - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*h = -274, 5*h = -5*g + h + 278. Let x = -49 + g. Suppose 4*w + 4 = -5*k, -k + x = -0*k - 5*w. Solve -p = -k + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.106? (a) 0.5 (b) -9 (c) -4\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649914 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-12 - (-29 + 11) - 7) + 13.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28075 + -0.363090514.\nAnswer: 28074.636909486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234543 and 999?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 202*l**2 + 209*l + 510. Calculate v(-102).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 2*j**2 - 1. Suppose -75*g - 69*g + 8*g - 408 = 0. Calculate l(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258\/(-473) + (4 + (-41728)\/88)*(-4)\/3492?\nAnswer: -2\/291","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 55584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - u - 14 - 7, -3*i = -4*u + 8. Is 383\/3 - i\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, -2, 0.2 in ascending order.\nAnswer: -2, -0.5, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose y*j + 2 + 6 = 4*o, -12 = -4*o. Suppose 0 = j*i - 7*i - 2*l - 30, -4*i = 2*l + 22. Which is bigger: -7 or i?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*r - 2 = 12, s + 5*r + 6 = 0. Suppose -2*o = 7*q - 2*q - 743, s*o = 5*q - 749. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-717)\/(-6) + (-4)\/(-8). Let r = 19019 + -18944. Calculate the highest common factor of t and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2314173 is divided by 2986?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -132?\nAnswer: 2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 494 = 514 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/29, -0.3, -1\/7, -54, 5, -1 in descending order.\nAnswer: 5, 3\/29, -1\/7, -0.3, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-6)\/(-531600002)) - (-1)\/(-3). Round g to the nearest 1000000.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 1, e: 1, l: 1, i: 1}. What is prob of picking 1 i and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 15. Let q be 3 - 4\/(5 - s). Let z be 27 + -25 + (q - 0). Solve b - d = -3*b - 17, 21 = -z*b - 2*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 23. Calculate u(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 45 = 11*c. Let f(u) = u**3 + 10*u**2 + 9*u - 8. Determine f(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -143057667?\nAnswer: -143057663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 9. Give r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 193224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*m**2 + 80*m - 43*m**2 + 26*m**2 + 204 = 0. What is m?\nAnswer: -17, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2 - 546546*o + 546544 = 0.\nAnswer: 1, 273272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25171*w + 25168*w = 2*l + 4, -w - 13 = -l for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*i + 81*i + 23*i - 37*i - 47*i.\nAnswer: 179*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Solve -x - g*x - 13 = -4*m, 0 = 4*m + 2*x + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2585*n**4*t**2 - 360*n**4*t - 3*n**2*t**2 + 775*n**2*t + 4*n*t - 11*t**2 - 1 wrt n?\nAnswer: 62040*n*t**2 - 8640*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93410\/193 or 484?\nAnswer: 93410\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 170132214.86 - -5\nAnswer: 170132219.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 151, 1, 0.7, 0.3, 4\/5, -201?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 + (0 + 0)\/((-14)\/7) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*y - 2*m - 30, -2*y = -3*m - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*p**2*t - 40*p**2 + 104*p*t - 19*p - 4 wrt t.\nAnswer: -32*p**2 + 104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 6. Let y be 18\/10 + 2\/d. Let t be 6\/(-81)*(-2 + -1)*9. Solve 4 = -y*s - t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*-8\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164.3 - 169. Let i = 3.7 + p. Let w = 3.96 - -0.04. Which is the closest to i? (a) 23 (b) w (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a microsecond in nanoseconds?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 greater than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b + 1. Suppose -2*g - 2 = -5*u, 3*u - 6 = 5*g - 1. Let n be 5*(4\/10)\/g. Is d(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2880 and 1920.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 33*c - 640. What is r(9)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 632 - 686 = 0. Let l(d) be the first derivative of -d**3\/3 - 7*d**2\/2 - d + 1. Let v be l(-5). Does q = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 20 + 26 = -4*q, -2*q - 2*n - 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, -75, -258, -619, -1218?\n\"Answer: -10*i**3 + i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9*y - 70 = 4*y, -5*y = -5*v + 200. Calculate the greatest common factor of 615 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-171 + 517 - 18*b**3 - 169 - 163)*(-b - 4 + 4)*(-b - 3*b + 5*b).\nAnswer: 18*b**5 - 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 27*h - 161. Let y be s(-11). What is the greatest common divisor of y and 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = -14. Let l = 8 + v. Find the second derivative of -196*y**2 + 7*y**l + 196*y**2 - 3*y wrt y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-4 + 0))\/2. Suppose -3*i + 7*i - 80 = u. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16680520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 4*n**3\/3 - 2954. Let i(w) = 780*w**2. Determine i(c(a)).\nAnswer: 12480*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 0*a - a + 3, 0 = 2*a - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4 - 97*n**3 + n - 107.\nAnswer: 24*n**2 - 582*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 19. Suppose -47*d - 229*d + 1932 = 0. Determine s(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 859, 865, 871, 877?\n\"Answer: 6*f + 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**2\/2 + 2. Let p(i) = 10*i. Let l(v) = 8*o(v) - p(v). Let b(q) = 4*q**2. Give l(b(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 81378*x**2\/5 - 331102668*x\/5 - 132454088\/5.\nAnswer: -(x - 8138)**2*(5*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.4 + -9.9. Let r = -23 + 18. Which is the closest to -1\/3? (a) -1\/6 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 2*a - 2*a + (0*a + 0*a - a)*((-7 - 21 + 16)*(0 - 1 - 1) + 1 - 5 + 2).\nAnswer: -25*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 190 - 190 - q**2. Let n be (3 - (2 + -2))*1. Let w(a) = -n*a**2 + a**2 + a**2. Give w(c(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -939607281968?\nAnswer: 939607281967.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*b - 42. Let j(a) = a + 18. What is the units digit of j(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -499?\nAnswer: 498.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/1 + 81\/(-27). Suppose 13*u = 19*u. Solve -2 = 2*r + 3*n + 2, i*r - 2*n - 16 = u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -18*u + 8. Let f be i(-6). Let c be f\/36 + 4\/(-18). Put 1, c, -1 in descending order.\nAnswer: c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 135\/(-6)*(-60)\/45. Calculate the highest common factor of z and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zov when three letters picked without replacement from zzzvzzzkvjzkvrzrvo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 259744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-1)*(-886)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j**2 + 3*j + 16*j**2 + 8*j - 11*j. Let c(d) = 3*d. Give c(g(h)).\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7870*j = -7587*j - 11886 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*333\nAnswer: 26.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16163.\nAnswer: 7, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2 (c) 1.57 (d) 0.65 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 744 and 500712.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 5, 89, 3 in decreasing order.\nAnswer: 89, 10, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2 - n + 6. Let j(p) = -11*p**2 - 3*p + 12. Let g(l) = 9*h(l) - 4*j(l). What is g(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28)\/10 - -4)*20\/6. Suppose -6*a = 3*m - s*a + 10, 2*m - 2*a = 10. Suppose m = 3*n + 2*x - 2, -3*n - 2 = -3*x + 1. Solve n - 4 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from sssmmmmswsm.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -69736.77 minus -2.8281?\nAnswer: -69733.9419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588740 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-4))\/(33\/(-44)) + 22 + 584\/(-8)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 8, -1\/4, 1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604 + 329*l**2 + 604.\nAnswer: 329*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56317 + -856?\nAnswer: -57173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 1.46 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 6\/(-1 + (75\/(-6))\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 1, n: 1, l: 2, d: 1, w: 1}. Give prob of picking 3 o and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124\/9, -66, -2\/3, 22\/9.\nAnswer: -66, -124\/9, -2\/3, 22\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*r + 1. Suppose -5*y - 77 = -r*c + 23, c - 3*y = 48. Suppose 4*a = -a + c. What is the remainder when 34 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*q + 104*q = 5*x + 35, -4*x = q + 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 113, 168, 223, 278?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)*1 - 0. Suppose 4*h - 14 - 2 = 0. List the prime factors of (-1 - -2) + h + v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8881585 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352 a factor of 2527672847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12093338.02 rounded to the nearest one hundred thousand?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/9, -1\/2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(76) + 3.\nAnswer: 3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012993 rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 10*p + 2*p)*(3 - 3 + 2).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*s + 12*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 142*c**2 - 4*c. Let x(y) = -142*y**2 + 3*y. Let n(i) = -2*p(i) - 3*x(i). Is n(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 15 = -0*b, 2*b + 34260 = 2*o. Suppose v + 6425 = o. Round v to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -8 (c) 1\/2 (d) -0.03 (e) 1\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -4)*10\/(-25). What is the third derivative of 3*m**4 - 3*m**2 - 7*m**l + 3*m**2 + 6*m**2 wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 606*s + 440 = 500*s + 2030. What is the remainder when (25\/2)\/(2\/4) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*y = 186*y - 3. Let q(z) = 9*z**3 - 9*z**2 + 8. Let d = 203 - 198. Let a(b) = -5*b**3 + 5*b**2 - 4. Give d*a(o) + y*q(o).\nAnswer: 2*o**3 - 2*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3*sqrt(931)*-2 - (4 + 0 + sqrt(931)))*-3)**2.\nAnswer: 3528*sqrt(19) + 410713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -37*b**2 - 3*b + 6. Let q(r) = -13*r**2 - r + 2. Let k be (-2 - -2 - 1)*(-12)\/(-2). Let u(p) = k*d(p) + 17*q(p). What is u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36554 - 3630?\nAnswer: 32624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 8 - 14. Calculate the remainder when 51 is divided by (17 - 3 - y) + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85.5 + -14.\nAnswer: 71.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i - 0, -3*p + i + 14 = 0. Let k(v) = 5*v + 12. Let m be k(p). What is the greatest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*z = 293*z + 8679. Does 85 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*m**2 + 0*m**2 + 76 + 3666*m**3 + 6*m**4 - 3669*m**3 wrt m?\nAnswer: 24*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*h**6 - 10*h**5 - 13*h**2 - 7*h wrt h?\nAnswer: -2280*h**3 - 600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4088 - -4083. Sort -11, 61, w.\nAnswer: -11, w, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-11))\/((-12)\/(-4356)*-44).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645178?\nAnswer: 2, 822589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 2402 = -63*l - 53*l - 4225 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 23*u - 1. What is the remainder when 65 is divided by b(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.16609789 rounded to 3 dps?\nAnswer: 3.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6680 + 105.\nAnswer: -6575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s + 0*s)*(-55 + 55 - 21*s).\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 - 4*a**3 + 0*a**3)*(-12*a**2 + 4*a**2 + 377*a**2) + 0*a**5 + 0*a**5 - a**5.\nAnswer: 737*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3. Let y be 0\/(4 - 4 - f). List the prime factors of 18*(y + (-4)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*y + 53*y + 59*y - 189*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 362*x**2 + 264?\nAnswer: 724*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4376644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**2 - 4*v - 4*v**3 + 3 + 0*v**3 + 3*v**3. Let b be i(-5). Suppose 4*x - 3 - 1 = 0. Put x, -5, b in increasing order.\nAnswer: -5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14)\/(-35) - 6159\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -318165 (base 10) to base 16.\nAnswer: -4dad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 5)*3*-4. Let a = f - 22. Find the third derivative of 4*j**2 + 4*j**2 - 6*j**3 + 4*j**a wrt j.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 1. Let m be l(-3). Let a be (12\/(-20))\/((-300)\/7000). Let c(w) = -m + 13 + a + w. Let s(h) = h**2 - h - 2. Calculate -4*c(p) - s(p).\nAnswer: -p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 722*v**2 - 171*v + 10 = 0. What is v?\nAnswer: 2\/19, 5\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - y + 45 = -169, -4*i = -2*y - 174. Suppose 125 = j + i. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**2\/4 + 766975*i\/2 - 588250650625\/4 = 0.\nAnswer: 766975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2535062?\nAnswer: 2, 1267531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, a: 3, j: 10}. What is prob of sequence jeaa?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 8*i - 7. Let m be q(7). Suppose m*d - 5 = -d. Suppose -k + d = -2*k, 4*p - 10 = 2*k. Solve -5 = 5*v, p*l + 5*v + 7 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + 20560?\nAnswer: 20620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2064 divided by 2064.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 869736 and 298596?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 25*r - 31. Let u be q(9). Suppose -u*l = -36*l + 4. Suppose -5*b - 19 = 1. Sort 4, l, b.\nAnswer: b, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -385444 take away -5710?\nAnswer: -379734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 8 - (-16 - -21 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 - 96. Let d = f - -8. Let r = d + -30. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 - 24*x**2 - 56*x = 0.\nAnswer: -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -12, -3*r + q + 2 = -1. Let p(d) = -11*d + 16. Let l be p(1). Sort l, r, -5 in ascending order.\nAnswer: -5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 4:34 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63356*k**2 + 40075*k?\nAnswer: -126712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 9:34 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*t + 608*t - 201*t - 207*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*g - 2262 = 334*g + 188*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 0*l - 5*l + 16 = 0, 14 = 5*z + 2*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-12004)\/4 + -2. Let b = 11957\/4 + i. What is the common denominator of b and (-1)\/5 - 344\/105?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7564 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: Multiply 21.43 and 424641.\nAnswer: 9100056.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.8 - -69.2. Let t = v + -92. What is the smallest value in t, -1, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.32 (b) 2\/13 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44*((-24)\/(-22))\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1279, 2580, 3881?\n\"Answer: 1301*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**7\/231 - 4*d**6\/165 - d**5\/22 - d**4\/33 - 53*d. Factor c(o).\nAnswer: -2*o**2*(o + 1)**2*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. Suppose -4*b + j = -5. Solve -b*t + 3*h = -2*h + 18, 2*t + 6 = -h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, 35, 902, 2623, 5486, 9779?\nAnswer: 15790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from llyjleeleeyelyll?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -45 (b) 3.68 (c) -0.03 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.95 + -191.\nAnswer: -180.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 19*u + 21. Let q be c(18). Suppose 2*b = g + 5, -3*g - b = -2*b - 10. Solve q*m + 3 = 3*d, -4*m = -g*d - 7*m - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 13) + (-27 - (13 - 6 - 35)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j - 5*j)*(-55 - 765*j**4 + 27 + 28).\nAnswer: 2295*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -838 - 942. What is k rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4411778 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.021 + -0.109. Let y = -18.13 - f. Let v be (-1)\/(-6)*8\/(-6). Which is the fourth smallest value? (a) -2\/3 (b) v (c) 2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7321, -1, -1225 in ascending order.\nAnswer: -1225, -1, 7321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 119915 (base 11) to base 6\nAnswer: 4013544","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10257*q + 12*q**3 + 10177*q + 4*q**2 - 2*q**2.\nAnswer: 12*q**3 + 2*q**2 - 80*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5744 and -109?\nAnswer: -626096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 1. Let g be q(2). Let p(s) = -4*s - 5 + g*s + 17. List the prime factors of p(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.968 - 8.032. What is the closest to x in 3, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 6 = 2*t, -4*g + t - 23 + 19 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5386635 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -0.1926.\nAnswer: -0.5926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*-5 + 2. Let r = -22.64 + 23. Let w = 0.66 - r. What is the nearest to -2 in w, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 3. Calculate the smallest common multiple of 5 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - h**2 + 14*h**2 - 3*h**3 + 2*h**3. Let p be c(-13). Suppose -3*s + p*s = -99. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/184635 and -3\/225665.\nAnswer: 2030985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*d + 0)*(-2 + 3 - 2)*(143 + 16 - 286) to the form b*d + k and give b.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 - 3*n + 22. Let f be t(5). Suppose -5*y + 3*j + 144 = -201, j = -3*y + f. Calculate the remainder when y is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -31 - (0 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.53402757 to 3 decimal places.\nAnswer: 0.534","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express 30*l**2 + 4*l**2 - 21*l**2 + (2*l - 4*l + l)*(3*l - 6*l + l) as w + h*l**2 + q*l and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * 56.06\nAnswer: -10.0908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + c**2 - c. Let t(x) = 3*x**3 - 4*x**2 + 4*x. Let d(b) = -30*b - 4*b**2 - 481 + 6*b**2 + 497. Let r be d(14). Determine r*f(l) - 3*t(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**3 - b**2 + b. Suppose 0 = -c + 3 + 3. Let o be ((-4)\/c)\/((-4)\/6). Calculate the least common multiple of d(o) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-1 - -1) + 1 - (-2671 + 2670) - -48?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8648 and 1912289?\nAnswer: 15298312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/((-1)\/(-3)). Let w(v) = 47*v + 73. Let y be w(-7). Let o = 261 + y. Solve d*b - 7 = -n, -2*n + o*b + 4 = 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -2320381\nAnswer: -6961143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -71410 bigger than -70644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-24)*4)\/(((-100)\/15)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (24\/18)\/(3\/144)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or -74?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzpp when four letters picked without replacement from {p: 14, z: 5}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/13 + 48804*k**4\/13 - 299383218*k**3\/13 + 20181927880*k**2\/13 - 298188057312*k\/13 - 1534836097152\/13 = 0. Calculate k.\nAnswer: -4, 36, 12167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 + 17 + 15)*(0 + 2*r + 0 + (-2 + 2 - r)*(2 - 4 + 1)).\nAnswer: 330*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-10*174\/15. Let b(s) = s**3 + 26*s**2 + 154*s - 43. Let w be b(-17). What are the prime factors of (15\/25 - x\/w)*-12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71335 in 0.5, -0.2, -0.4, -0.05?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, t: 1}. Give prob of picking 1 t and 2 x.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 200*y - 4943. Calculate s(25).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 2, d: 1}. What is prob of picking 2 u and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146\/3 - 48. Let 0*n + 0 - r*n**2 = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8419*n**4 - 3*n**2 + 22879*n?\nAnswer: 101028*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 2*s**2 - 4 + 3 - 3*s**2 + 2. Determine j(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -522, 5 in ascending order.\nAnswer: -522, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 523, 1043, 1563, 2083, 2603, 3123?\nAnswer: 3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 10:23 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -167. Let z = o + -68.3. What is the smallest value in -0.1, 5, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u + 9. Let r(o) = 1. Let v(m) = -d(m) + 4*r(m). Let w be v(-4). Factor w*i**2 + 14*i + 4 + 5\/2*i**3.\nAnswer: (i + 2)**2*(5*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1903 - 377. Suppose -m - m - 4*v - w = 0, 5*m + v = -3842. Round m to the nearest ten.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-4)\/(1 - 3). Let r be (1 - (-72)\/4) + (0 - f). Find the third derivative of -r*b**5 - 3*b**2 + 32*b**5 - 6*b**2 wrt b.\nAnswer: 840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 7*z**2 - 5*z + 14. Let v be s(-7). Let t = v - 45. Find i, given that -100*i + 6*i**t - 56*i**3 - 2*i**4 + 140*i**2 + 12*i**3 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2. Let b(q) = 754*q**2 + 117*q + 117. Let x(u) = 26*u**2 + 4*u + 4. Let g(t) = 4*b(t) - 117*x(t). Give g(w(s)).\nAnswer: -26*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/78 - (2889\/65 + -1). Let y = h + 44. What is the third biggest value in 5, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.079 (b) -4 (c) 171\/64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 23*l**4 + 4*l**2 - 12*l + 6. Let k(p) = p**2 - 2*p. Let v(n) = -g(n) + 6*k(n). Find the third derivative of v(u) wrt u.\nAnswer: -552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*z + 71, 5*d - 2*z + 49 = -25. Let k be 104\/10 - d\/(-40). What is the third derivative of -k*p**2 - 3*p**3 - 4*p**3 - 8*p**3 + 22*p**3 wrt p?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 n when three letters picked without replacement from fnfniznn.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37687 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1011101 (base 2) to base 13\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/83985 and -3\/7362685.\nAnswer: 22088055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 348027.\nAnswer: 1044081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l - 3*l)*(-l**2 - l**2 + l**2)*(-2*l + 1 - 1).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 214 - 174 = -2*w, 2*w + 144 = 2*c. Let b = c + -44. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*b - 49. Suppose -j + w = -6, 0 = j - 3*w + 6 - b. Suppose 4 = -a + 3, -3*k + j*a + 143 = 0. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3846 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1404412377 to the nearest integer?\nAnswer: 37475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose -h*q = q + 128. Is q\/3*75\/(-20) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-5)\/3*(-11 - -12). Solve -2*y = c - z + 3, -2*y - 4*c - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 133 = 7*r. Suppose 0 = -r*v + 8 + 48. Solve -h = -v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -z + 5*d, -34 = -4*z + d - 3 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 - 6*p. Let b be w(-3). Let q(n) be the first derivative of -n**4\/4 - 10*n**3\/3 - 9*n**2\/2 - 6*n - 141. Calculate q(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 0*x**2 + 0*x - 2\/3*x**3 + 3. Let p(h) = 6*h**2. Calculate p(f(s)).\nAnswer: 24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96230 - 360582 = 8261*h for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -11\/5 (c) -4\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - ((8 - 370\/40) + 2*-1). What is the closest to z in 1, 2, -0.3, -5.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 25 = 6*p - p - 0*p, 5*k = -11*p + 55 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 4 + -4 + (1 - 0). Let d = 16 + -4. What is the smallest common multiple of d and (9\/p)\/(6\/40)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -28. Which is the second smallest value? (a) -3\/4 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*y + 76. Let z = -52 + y. What is the nearest to 0.1 in -5, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, a: 4, c: 5}. What is prob of sequence mm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 divided by 876?\nAnswer: -95\/438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350203*x = -349938*x + 25705 for x.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + 47 - 15) + -109 - (-7 - 0)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) 46 (c) 2\/3 (d) 929 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -30692*p + 460381. What is k(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1094 - 201?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -1 + 4 + -3. Is (-47352)\/48*t*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = -4*w - 30, 15 = y - w. Suppose -5*u = 3 - y. Suppose -u*d + 50 = 3*c - 2*c, -4 = -c. What is the remainder when 89 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 673 - 2322. Let o = h + 2791. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - w + 11. Let j(n) = 3*n**2 - n + 10. Give 4*g(a) - 5*j(a).\nAnswer: -3*a**2 + a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = 0, 0*g - 2*g = -5*s + 26. Let x = -9 - -4. Calculate the remainder when 17 is divided by (28\/s)\/(x + (-51)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194448?\nAnswer: 2, 3, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 11*w - 24. Let r(b) = -3*b - 17. Is 2 a factor of r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + 2*sqrt(448)))**2.\nAnswer: 2400*sqrt(7) + 45025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, -314, 3, -6, 0, -5, 1.\nAnswer: -314, -6, -5, 0, 1, 3, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**2 - 6*m + 13. Let z be q(-10). Let f = z + 1297\/2. Let k = 22 - f. Sort -0.1, k, 2\/3 in decreasing order.\nAnswer: 2\/3, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(425) + (-5*(-3 + sqrt(425)) + sqrt(425) - sqrt(425)))**2 - -4*2*(sqrt(425) + -2)**2.\nAnswer: -1960*sqrt(17) + 24507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-19)\/(-912))\/(2\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/3 - 7*s**5\/15 - 34*s**2. Find the third derivative of y(b) wrt b.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 7. Let b = -10 - q. Sort b, -2, 5.\nAnswer: b, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 2*o + 1, 7*o + m - 148 = -140 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*a = 6*q - 1, 1 = -2*q - 3*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -453593 + 17?\nAnswer: -453579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85029742 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -7\/37 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 7 + 15 + 3*d. Let q be 4 - -1 - (111 - 98). List the prime factors of k(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-1\/4))\/f)\/f*f)**(-5)*f**10*f*f**(-2\/11) assuming f is positive.\nAnswer: f**(531\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1148, -1151, -1156, -1163, -1172?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = -0. Let l be ((-11)\/(-33))\/((-1)\/(-3)). Let d(j) = 6*j**2 + j - 2. Let s be d(l). Solve 5*x - a + 21 = 0, 0 = -x - 0*x - s*a + m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 1:14 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/3 - 22*l**3 - 122*l**2\/3 + 22*l + 124\/3 = 0. What is l?\nAnswer: -31, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11*a + 1. Let g(i) = -9*i - 3 + 6*i + 1 + 20*i. Suppose -t - 4 = 3*r, -5*r + 33 - 77 = -3*t. What is t*j(w) + 5*g(w)?\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-35)\/(-30)) + (-7864)\/1320. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 8 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802*u - 800 = -834*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9063.\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**3\/3 + 4*z + 1. Suppose -41*t - 90 = -11*t. Give k(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -62*z - 96. Let w(a) = 72*a + 97. Calculate -7*g(s) - 6*w(s).\nAnswer: 2*s + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + i**2)*(i + 3 - 3) + 1459*i**3 - 239*i**3 + 2480*i**3.\nAnswer: 3701*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 20 - ((-24 - -5) + -4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 37*x - 3. Let m(q) = 70*q - 33. What is 2*k(h) - m(h)?\nAnswer: 4*h + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {b: 2, y: 2, m: 2, n: 5, l: 2, u: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -75.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -39 + 54 + -21?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 59.3. Let y = u + -3. Let c = y + 0.9. What is the closest to c in 3, -0.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82811 at most as big as -331241\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 109095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -94\/29 (b) 5 (c) 0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 2 + 0 + 2 as q*p + g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*l**3*r - 24*a**3*l*r - 6*a**2*l - 3*a*l**3*r - 5*a*l*r wrt a.\nAnswer: -12*l**3*r - 144*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 153868881?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + -1*sqrt(1372) + sqrt(1372)*5 + 2)**2 + -3.\nAnswer: 336*sqrt(7) + 21958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 14*w - w. Let h be 2*(-6)\/w + 5. Suppose 0 = -0*f + 2*f, h*z = -2*f + 12. Solve -3*y = -3*o - z, y + 5 = 6*y - 4*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.101 - -26.101. What is the nearest to -0.1 in 4, r, -19.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.287 - 0.113. Let n = -20.6 + 19. Let y = n + -3.4. Which is the closest to -1? (a) 2\/11 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(640)\/sqrt(8)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-108)*3\/2. Suppose -5*l = 2*o - 22, -o + 3*o - 2*l + 6 = 0. Let z = -6 - -5.7. What is the closest to 1\/2 in o, z, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 + 38*s**2\/7.\nAnswer: 2*s**2*(s + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -27, -4, -2, 190 in increasing order.\nAnswer: -27, -4, -2, 0, 1, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5278 less than -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 12:32 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3817*l - 4290. Determine h(-2).\nAnswer: 3344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0723 or -14?\nAnswer: -0.0723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 2*q**6\/3 - 8*q**2 + 20*q + 6. Let m(h) be the first derivative of b(h). What is the first derivative of m(o) wrt o?\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 25 - (621 + -522).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-243)*45\/(-40)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5084*g - 30631 + 30631 as o*g + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 36 - 36) + -14 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 5*p**2 + 5*p - 1. Let r be c(-6). Solve r = 5*i + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -27 + 56*b**3 + 52*b**3 - 109*b**3 + 18*b**2 + 2*b. Let n = -33 - -51. What is the units digit of r(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**3 + 4*l**3 + 1 - 343*l + l**2 - 3*l**2 - 8*l**3 + 339*l to the form j*l + f + b*l**2 + r*l**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-15 - 10*z + 15)*(5 + 0 - 2) + 2*z - z + 2*z + 2 - 2 - 2*z - 1 + 1 - 2*z + (-z + 3*z + 0*z)*(1 - 3 + 1) + 3 - 2*z - 3)*(1 + 0 + 5*z - 7*z)*(1 - 7 + 2).\nAnswer: -280*z**2 + 140*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 35 = -66, -3475 = 3*g - 112*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 59*r**2 - 14*r + 76. Is u(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35007500 divided by 5225\nAnswer: 6700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p - 39*p = 88*p - 1144 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108626.\nAnswer: 2, 7, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -28954, -0.005 in descending order.\nAnswer: 0, -0.005, -28954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 208800 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*-5 + sqrt(2) - (3*2*sqrt(2) + sqrt(2)) - ((sqrt(2) + sqrt(8)\/(sqrt(20)\/sqrt(5)))**2 + (sqrt(2) - (sqrt(2) + sqrt(88)\/sqrt(11)))**2).\nAnswer: -16*sqrt(2) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 12. Suppose 0 = -c + 2*c + 1050. Let f be ((-13)\/3 + q)*c. Round f to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 6*z = 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/13)\/(576\/(-26208))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299824 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/180)\/(24\/(-36))*5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19750 + -8?\nAnswer: -19758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/5 at least as big as 4001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1727, 2426, 3085, 3710, 4307, 4882, 5441, 5990?\nAnswer: 6535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*v**2 + 18*v**2 - 8 - 8 - v**2)*(5*v**3 + 13*v**3 - 11*v**3).\nAnswer: 42*v**5 - 112*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(190))\/sqrt(10))**2 + 0 + 1*sqrt(19).\nAnswer: sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -20. Let m(r) = 1 - 5*r**3 - 2*r - 2*r**2 - x*r**3 + 10*r**3. Calculate m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20790 and 126?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 1\/4 (c) 5701\/6 (d) -5 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1271 + 8469. What are the prime factors of d?\nAnswer: 2, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38543 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(152)*-3 + 3*(sqrt(152) + 1*sqrt(152) + sqrt(152) - sqrt(152)))\/(-5*5*(sqrt(96) - (sqrt(96) - 2*sqrt(96)))\/sqrt(12)).\nAnswer: 3*sqrt(19)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1253 - -4?\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 56*s + 18. Give g(-13).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2 + 19. Let q(w) = -w + 5. Let j(u) = 2*u - 10. Let r(k) = -3*j(k) - 7*q(k). Let m be r(f). Solve 3*n = -m*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 - (-2 - -2). Let o(p) = -7*p**3 - 3*p**2 + 3*p + 27. Let q(u) = 4*u**3 + 2*u**2 - 2*u - 14. Let s(l) = -3*o(l) - 5*q(l). Calculate s(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = -51 - 12. Put q, -5, -60 in increasing order.\nAnswer: -60, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 18*p - 1514. Determine j(-25).\nAnswer: -2314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.32958 microseconds in nanoseconds?\nAnswer: 14329.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c + 4*k + 4 = 0, 2*c + 5 = -5*k. Let j = 305 + -300. Suppose 5*s = -15 - 0, 59 = 4*y - j*s. Solve 1 = 4*a - y, -l + a - 7 = c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 24 + -32 + 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*o - 52 = -5*w, 2*w = 2*o + 56. Calculate the greatest common divisor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than or equal to -356\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*y**3 + y**2 - 3 + 161*y**3 - y**2.\nAnswer: -3*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1845241723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.419822858966 - -0.25.\nAnswer: 0.669822858966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 79*g**2 + 8*g - 2. Let q(d) = -26*d**2 - 3*d + 1. Let r(y) = 8*q(y) + 3*v(y). Is r(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334 less than 24.9?\nAnswer: -1309.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 6:41 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.205475 in 0, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13158169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 55*b**3 + b**2. Let q be s(-1). Let h = -39 - q. Suppose -2*x = x - h. Solve t - x*t = -i, 0 = -t - i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/4)\/(3 + 21\/(-6)). Let x(n) = -2*n**2 + 8*n + 15. Let p be x(f). Let m = p - -232. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2468*n**2 - 1235*n**2 - 1241*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + -8)*(-2)\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 19*l**2. Let f(o) be the third derivative of 3*o**4\/8 - 3*o**3\/2 - 45*o**2 + 28. What is x(f(r))?\nAnswer: 1539*r**2 - 3078*r + 1539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 6*p. Let t(m) = -2*m. Let r be t(-6). Suppose j - 4*j = r. Calculate the lowest common multiple of l(j) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38226, 76462, 114734, 153060, 191458, 229946?\nAnswer: 268542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3 + 3)*(6 + 4 - 16)*(13 + 3 + 8).\nAnswer: -144*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150812 is divided by 29862.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -67, -1\/4, -1?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6479*u**5*v - 4*u*v + v + 1 wrt u?\nAnswer: -129580*u**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = 2*f, 3*f + 11 - 2 = 0. Let k(y) be the first derivative of 4*y**2 - 6*y + 1. Let s be k(x). What is the highest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-15)\/12)*(6 - 2). Let f(m) = m**3 + 17*m**2 + 16*m + 6. Let k be f(h). Let p = k + -4. Solve -3*t = -p*w - 7*t - 4, 3*w = -2*t - 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -92908.1?\nAnswer: 37163.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:21 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9617\/12828 + -1\/3207. Let w = -6.3 + 6. Let f = w - -0.2. What is the smallest value in 2, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 10\/6)*-3. Let x be (-115)\/161*-35 + (-2)\/4*(0 - -10). Suppose -5*z = n + 3, -n = 2*n + 9. Solve x = -k*w - z*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 27 = 5*d. Solve 2*i - f = 15, 7*f + d = -i + 2*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -5*b + 0*b**5 + 0*b**6 + 0*b**2 + 0*b**4 + 0 - 2\/21*b**7 - 2\/3*b**3. Find the second derivative of l(x) wrt x.\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19807 is divided by 207.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 1:29 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = u + 5*a + 9, -3*u - 3*a - 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 247306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 699*x**2 - 2*x + 2*x + 761*x**2 + 7 in the form r + h*x + f*x**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(891) + 0)**2 + -5).\nAnswer: -4430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/3, -5\/2, 0.3, -33\/23, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*17\/(-8092))\/(2\/(-4)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/12 - s**2\/2 - 2*s\/3.\nAnswer: -s*(s + 2)*(s + 4)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 124, 252, 432?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 4*y - y + (-4*y + 2*y + 0*y)*(0 + 3 - 2) - y + 4 - 4 + 3*y + 3*y - y - 2*y - 1 + 1 + y - 3*y + 0*y + (-4 + 3 - 2)*(2*y + 1 - 1).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**3 - 9*v**3 - 3*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {b: 1, r: 2, x: 1, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 20. Let n be u(10). Let j be (-11)\/(-3) - 20\/n. Solve -j = 3*g - 2*p + 3, 4*p = -3*g - 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehmmhhwhenhmh. What is prob of picking 1 n, 1 h, and 2 e?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**3 + 20*h**2 + h**3 - 23*h**2 + 7*h to the form r*h**2 + s*h + a*h**3 + j and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - (2 + -1 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-10 - (2 - 18) - (-6 + -30)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -9 - (13 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3751859983 to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 d when four letters picked without replacement from {d: 7, n: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 16*y - 16. Calculate b(7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 362 = 4*y, 6*y + 2*s = y + 469. Let l = 95 - y. Solve l*x = a, -4 = -3*a + 5*x - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404 - 116 = -2*u. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 12671.\nAnswer: -5068.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**6\/40 + 27*y**5\/8 + 11*y**4 + 136*y. Let i(x) = 0. What is x?\nAnswer: -88, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 n when four letters picked without replacement from {w: 6, n: 1, o: 2, a: 3, k: 2}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 313320?\nAnswer: 313312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 4. Let g = s + 4. Suppose 5*t - 8 = -g*v, -v = -2*t + 4*t - 3. Is -2\/15 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30499807319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.3. Let x be 22\/24 - 4\/6. Let b = -4 + 1. What is the closest to k in -1\/3, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1. Let h(a) = -9*a + 113. Suppose -3*o + 5*f = -24, 8*o - 9*o = -f - 10. Let t be h(o). Let s(b) = b. What is t*u(w) + s(w)?\nAnswer: w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 14. Let l be q(-6). Suppose 2*a + 24 = -0*a. Suppose 0 = 58*w - 57*w + 4. Put w, l, a in ascending order.\nAnswer: a, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 + -73. Let q = m - 32. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 249998488 divided by -97\nAnswer: -2577304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*m + 15 = 0, -3*z + 2*m + 2*m = -4. Solve -3*f - f = -3*t + z, -8 = 4*f + 5*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52952691 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: Suppose -2*o - 6 = -6. Suppose -3*l + 5*a - 381 = 0, -l + 2*a + 0*a - 127 = o. Let s = l - -132. Solve 0 = -3*c + s*m - 28, 5*c + 25 = 2*m + 2*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/11)\/(k**(2\/23)*k))\/(k**(1\/5)\/(k**3*k)) assuming k is positive.\nAnswer: k**(3892\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.2827 and -0.21438576.\nAnswer: -3.49708576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 15 = r, 6 - 31 = 3*r + 5*c. Suppose 3*m = -g + 6*g - 3, r = -4*g - 12. Which is bigger: -5 or m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.913 + -0.513. Let x be 6*1\/16*(-7)\/7. What is the fourth smallest value in -1\/7, x, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2. Let o(v) = 478*v. What is o(t(b))?\nAnswer: -956*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 409720302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/24*-3 + (-45)\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.9 - 11. What is the closest to y in 0.3, 3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4544 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51987 to three dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2\/(-21)*2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -184557*u**4 - 152410.\nAnswer: -738228*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7 + 3)*-70. Suppose -2*d - l + 26 = 3*l, -3*d = 5*l - r. Solve d*q + 2*j - 5 = 11, -10 = -2*q + j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s + 8*s**3 + 21 + 29\/2*s**2 - 1\/4*s**4. What is the units digit of n(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 3 + 2 - b**2 - 3 to v*b**2 + m*b + u and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and (28*12\/42)\/((-1)\/(-2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(605))\/(-1*sqrt(891)))\/(-5*(sqrt(2112)*1 + sqrt(2112))\/sqrt(3)).\nAnswer: -sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Divide -24093512 by 3404.\nAnswer: -7078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35.21 + -34.73. Let x = -20705 + 20633. Let n = x - c. What is n rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.4 - -8.3. Let x = q + -3.8999938. What is x rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 5*j + j)*(-4*j**2 + 6*j**2 - 3*j**2)*(5 - 6 + 4).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (9 - (-2 + 9) - 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32606913.\nAnswer: 3, 10868971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.00328038 to four decimal places.\nAnswer: -6.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 546.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 24 = 2*v, 5*v + 3*g = 13 + 45. Let j(c) = 8*c**2 + 28*c - 1. Let i(z) = 3*z**2 + 9*z + 1. Let b(r) = v*i(r) - 4*j(r). What is b(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -14*f**2 + 7*f - 14. Let v(d) = -9*d**2 + 5*d - 10. Let h(q) = 7*v(q) - 5*x(q). Let j(t) = 6*t. Calculate h(j(z)).\nAnswer: 252*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a + 3*c = -646, 152 = -4*a - 1542*c + 1539*c for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 3:40 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14574295 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(34)\/sqrt(2))**2)*-4 + sqrt(153)\/(1*sqrt(9)*4).\nAnswer: -76 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12623285 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*a**2 + 5 - 6 - 1 + 731*a**2.\nAnswer: 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/(((-9)\/(-3))\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 42. Suppose -41*x = -i*x - 864. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/3830613 and -95\/6.\nAnswer: 7661226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57258643997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.1 (b) -2\/7 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 178717 and 81235?\nAnswer: 893585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375 divided by -75.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/140)\/((-6)\/(-32))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -851 = -4*a + g, -13*a + 4*g - 217 = -14*a. Suppose 548*r - a = 545*r. What is the remainder when r is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37244, -148942, -335106, -595736, -930832, -1340394?\nAnswer: -1824422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 11. Suppose -o*g = 5*q - 4*g - 1490, 2*q + 4*g = 618. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8025 <= -3337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110883592 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*g**4*s**3 - g**3*s**3 - 2*g**3*s**2 - 2*g**2*s + 87*g*s**3 wrt g.\nAnswer: -360*g*s**3 - 6*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47737069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71791021*d**3 - 59962028*d**2?\nAnswer: -430746126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -22*q**3 + 11*q**2 - 308*q + 9. Let f(g) = 10*g**3 - 5*g**2 + 154*g - 4. Let i(p) = 9*f(p) + 4*k(p). Find the second derivative of i(x) wrt x.\nAnswer: 12*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -4 + (4 - 0 - (-8 + 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -184, -327, -482, -655, -852?\n\"Answer: -z**3 - 136*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -7) + 8 + (1 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 6*s + 5. Let a be n(6). Let o = a + 0. Calculate the highest common divisor of 40 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 250*j**3 + 11*j**2 + 3*j + 3975. Let k(o) = 2*o**3 + 3*o**2 + o - 1. Let m(u) = -3*k(u) + t(u). Differentiate m(l) with respect to l.\nAnswer: 732*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 84. Suppose -3*v - 220 = -i*f, f = -0*f - v + 48. Is 9285\/4 - 13\/f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336667 is divided by 766?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -1136, 1, -86.\nAnswer: -1136, -86, -10, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - 3*x)*(-89*x + 20 - 3 + 87*x).\nAnswer: 2*x**2 - 17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 12*b + 113*b + 13. Let r(k) be the second derivative of 25\/2*k**2 + b*k**4 + 0*k**3 - 1\/20*k**5 - 2*k + 0. Find the first derivative of r(m) wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Suppose 7 = 5*g + v, -2*g + v = -x*v - 16. Factor 0*q**2 + q**g - 1 + 2*q - 2*q**2.\nAnswer: -(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let c(u) = -3*u**2 + 3*u**v - 4*u**2. Let m(f) be the third derivative of f**4\/24 + 2*f**2. Determine c(m(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b3 + 19041?\nAnswer: 19334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*p - 56 = 0, 4*p + 56 = -53*o + 57*o. What is the closest to -0.3 in o, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + j - 64 = -2*g, -3*j = -g + 16. Suppose -2*l + 21 = 5. What is the remainder when g is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 13 - 4 - 3*p.\nAnswer: -3*p - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19)\/(-8) - (-100)\/160. Solve 3*j + 3*i = -2*j - 2, -2*i = -d*j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4655946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-15))\/(-5*3\/(-150))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 92. Let i = -41 + 44. What is the remainder when z is divided by ((-7)\/i - -2)*-48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -66\/19304273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225 + -2027\/9. Let y be -2 + (7 - (0 + -1)). Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11706 is divided by 1070?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 472477827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -425110 in decreasing order.\nAnswer: 3, 2, -425110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12315 and -2.6957?\nAnswer: 12312.3043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3 + 3642*o**2 - 7275*o + 3636 = 0?\nAnswer: 1, 1212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26, 9, -153.6, 5, 1\/3, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1.3507 (b) -0.2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8107 divided by 174?\nAnswer: 8107\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.126525 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*a**3 + a**3 - 3*a**3 - 18 - 4 wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265966 and 1278.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 132533432 (base 6) to base 8\nAnswer: 12104074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224385686 divided by -8806.\nAnswer: 25481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3078 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1906800 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.270777 - 1.74228237.\nAnswer: -1.47150537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -31 (b) -10 (c) 86568\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (6 - 2 - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 628 - -718. Suppose -9*p + 23504 = k. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-12))\/(6\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 9*c**2 - 94*c + 277. What are the prime factors of j(17)?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 - -45 - -260 - 43 - 50.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7140 - 6989. Which is smaller: 13 or i?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15 - 14967*n + 29920*n - 14958*n. Determine f(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -135.60579993 from 3.\nAnswer: 138.60579993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6))\/((-2)\/(-8)). Let a be (1\/p)\/(9\/12). Let d = 1 + a. Sort d, -5, 0.3 in increasing order.\nAnswer: -5, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 7*f**2 + 43*f + 10. What is u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1077 divide 2909511424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 9*g - 11. Suppose -9*v + 8*v + 40 = -3*j, 2*j = -v + 55. Suppose 30 = 52*k - v*k. Calculate t(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, n: 5}. What is prob of picking 1 n and 1 u?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/5 (b) -7 (c) 22 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 4*i + 4*i)*(4*i**2 + 0*i**2 - 3*i**2).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 5*(-5 + -2*sqrt(200) + -2 + sqrt(200)*1 + 0 + -1 + sqrt(200) + (sqrt(200) + -1)*-4))*-1)**2.\nAnswer: 10000*sqrt(2) + 80625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.304 and -1.2?\nAnswer: -0.3648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 13*z**3 - 37*z**2 + 56*z + 23. Let m(y) = -24*y**3 + 66*y**2 - 107*y - 45. Let j(r) = -6*m(r) - 11*x(r). Calculate j(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8*y = 3*z + 47, y - z + 11 = 0. Is (-8516)\/10*y\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3228, -25714, -86746, -205596, -401536, -693838?\nAnswer: -1101774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u\/((u\/u**(-1\/4))\/u)))*u)**(-4)\/(u\/(u**(-7)*u)*u*u\/(u\/((u\/u**8)\/u))))**(2\/107) assuming u is positive.\nAnswer: u**(-22\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2497 and -5\/534131.\nAnswer: 5875441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 10, 23, 40, 61?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -125896, -251791, -377686, -503581, -629476, -755371?\n\"Answer: -125895*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/44)\/p**(-33) assuming p is positive.\nAnswer: p**(1449\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1051 - 968) + (42 - -3)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24222 + 54052. Round z to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/41, -52, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 137175\nAnswer: -1\/45725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.164, 2\/11, -0.2, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 8*v + 431. What is t(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 527496533 a multiple of 4543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x\/x**7))\/x**(-2\/11))\/((x\/(x\/(x**3*x)))\/((x\/(x\/x**8))\/x)))**(-34))**34 assuming x is positive.\nAnswer: x**(-116756\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 + 480*c**2 - 14400*c = 0. What is c?\nAnswer: -120, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7182994 to the power of 1\/2, to the nearest integer?\nAnswer: 2680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(3 - 2 + 0)*(-34*v**3 + 7*v**4 + 34*v**3) + (2*v**2 + 2*v**2 - 2*v**2)*(4*v**2 - v**2 + 0*v**2) - v**4 + 0*v**4 - v**4.\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (-1 + -2 + 1)*-5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 + (2 - 4)) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720279 and 19879?\nAnswer: 139013847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -123?\nAnswer: 122.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 65934?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -4c6?\nAnswer: 4c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -4421?\nAnswer: -4421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 454142 (base 12) to base 2\nAnswer: 100001110000011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3484 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1136*l = -266*l + 26603 + 2977 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90798 and 444?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 12126.2015\nAnswer: -4850.4806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**5 - 66*k**4 + 94*k**3 + 922*k**2 + 288*k - 1240 = 0.\nAnswer: -2, 1, 5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 1)\/(-2)*(-2)\/4. Which is the fourth smallest value? (a) -2 (b) -12 (c) l (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -223.211033 to zero decimal places.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 2.078048.\nAnswer: 8.312192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s**3 - 35*s**2 - 6*s - 6. Let r(w) = 10*w**3 - 35*w**2 - 5*w - 5. Give 6*r(m) - 5*x(m).\nAnswer: 5*m**3 - 35*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 38. Let u be ((-12)\/(-4))\/(y + 41\/2). Sort 2, u, 5\/2 in increasing order.\nAnswer: u, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -202201111?\nAnswer: -202201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-14))\/((-30)\/6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45190 less than -3156632087?\nAnswer: -3156586897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-22) - 936\/(-143). Solve -2*x - b + 4 = 0, 4*b - d*b = 3*x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 28037*x + 559773. Give t(-20).\nAnswer: -967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9*-42202923\nAnswer: -379826307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 136301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -2\/15 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 28*h - 25. Let w(v) = -11*v + 13. Let l(t) = -2*p(t) - 5*w(t). Let s(f) = -4*f - 44. Give 7*l(r) - 2*s(r).\nAnswer: r - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1434 - -1824. Is 65 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/37 greater than or equal to 4180\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/6 + (-2)\/3. Suppose -4*r - 1904 = -t*z, -9*z + 2381 = -4*z - 4*r. List the prime factors of z.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 10, y: 4}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742 is divided by 568?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) + 78\/24. Let k = u + -7. Let l(d) = -d. Is 2 a factor of l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1210 and 474078?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**2 + 96*s = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20074 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 11 = 3*v + 23, v = -4. What is the remainder when 151 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**3 + h + 70*h**2 - 4*h**3 + 32*h**2 + 12*h**3.\nAnswer: -3*h**3 + 102*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-9 + 13) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from essl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 10*r**2 - 105*r + 54. What is the hundreds digit of v(22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 231, -6\/5, -1\/4.\nAnswer: -6\/5, -1, -1\/4, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z. Let t(g) = 89*g. Give t(a(w)).\nAnswer: 1335*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h**2 - h - 30. Let f be v(-8). Calculate the greatest common factor of f and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/18354 and -125\/42?\nAnswer: 18354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 - 7*t + 1. Let f(s) = 92*s**2 - 26*s - 7. Calculate f(c) - 4*g(c).\nAnswer: 60*c**2 + 2*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04193 - -232.05807. Round o to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(153)*-3)\/(1*sqrt(441) + sqrt(441)).\nAnswer: 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a6 - -2bfd3?\nAnswer: 2c079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1013583085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1131 + 207. What are the prime factors of q?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3 - 2 + 6)*(0*j - 6*j - 7*j).\nAnswer: -65*j**2 - 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 714427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 122 - 158. Solve 8 + p = 6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k**2 + 12. Let h(t) = 1. Give -24*h(b) + 2*o(b).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 2 - (10 + (5 - 9))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*n + 1428 = 104*n. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 9 - 1. Let g be (-6)\/(-12)*(x + 0\/2). Let n = 5 + g. Solve -v + n*v = 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5652 = 4*b - 5*s + s, 0 = 5*b + s - 7083. What are the prime factors of b?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.11 in -2\/15, 3\/7, -98.8, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 7*s + 27 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-4)\/(-16)*-7. Suppose 0 = 8*n + 70 - 54. Sort n, 1, h.\nAnswer: h, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3*n*o**2 + 8*g**3*o + 12*g*n*o**2 - 6*o**2 wrt n.\nAnswer: -2*g**3*o**2 + 12*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 19891, -5, -6, -4, -168 in decreasing order.\nAnswer: 19891, -4, -5, -6, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93745515?\nAnswer: 3, 5, 6249701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -577 - -402. Let s = i - -315. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = -4*f + 2*k, f = -k - 17 - 78. Let w = 263 + f. Suppose w = 2*c - 2*d - 117, 3*d = -3*c + 426. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 14a862?\nAnswer: -14a86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 74, 5, -278, -883, -1918?\n\"Answer: -18*y**3 + 55*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - (0 + 2 + -11919) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -5 (c) -3 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48\/277979 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 10*x - 15 = -5*j, 2*x = j - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (6 + -5) - (-6 - 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 3092*p - 18613. Determine z(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4811424 is divided by 801897.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 6*x - 3. Let v(a) = a**2 + 15*a - 36. Let g be v(7). Let o = 119 - g. Let z(m) = -m + 1. Give o*c(d) + 2*z(d).\nAnswer: -2*d**2 + 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a. Let d(g) = 1. Let p(v) = -v + 3. Let b = 24 + -23. Let w(s) = b*p(s) - 3*d(s). Calculate w(x(i)).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**5\/2 + 127*m**4\/2 + 397*m**3\/2 - 11783*m**2\/2 - 33285*m - 38700 = 0?\nAnswer: -6, -5, -5\/3, 12, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6745\/853 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2269480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1764\/22 - 2\/11. Calculate the highest common divisor of 32 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/6 + 17*n**4\/12 - 2*n**3 - n**2. Factor w(z).\nAnswer: -2*(z - 3)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 888 (c) 7\/2200\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12335\/12 - -1028. What is the biggest value in m, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 - 5229*u + 956910 = 0.\nAnswer: -1910, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.627242 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three sixths of a day?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 57*k - 2052. Calculate d(77).\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*u**3 + 2582*c**3*u + 2*c**2*u**3 + 1793*u**3 wrt c?\nAnswer: -6*u**3 + 15492*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-2) + 2)\/((-1)\/2). Suppose 0 = -w + 4. Solve -w*z + 3 + p = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 198304352391.2.\nAnswer: 198304352393.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 8:42 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d - 9. Let u(m) = 2*m**2 - 12*m - 31. Let a be u(8). Calculate the lowest common multiple of t(a) and 37.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t = -48*t + 54. Let u(s) = 14*s - 7. Let h(c) = 5*c - 2. Let l(g) = -11*h(g) + 4*u(g). What is the units digit of l(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -39490, -39495, -39500?\n\"Answer: -5*o - 39485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + -1b?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -14*h**3 - 5*h**2 - h + 6. Let a(f) = f**3 - f**2 + 1. What is 5*a(v) - t(v)?\nAnswer: 19*v**3 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*k - 35*k - 10. Let h(c) = 1. Let t(m) = 2*m - 2. What is k*t(q) + 10*h(q)?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(-8 - 835\/(-105)). Let d be -2 + 3 - (-12 + i). What is the third derivative of d*s**2 + 4*s**3 - 4*s**3 - 3*s**3 - 12*s**3 wrt s?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 723632 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477958 is divided by 2341?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -30?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*246\/(-82).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.45 + 19.45. Sort 2\/17, b, -2\/11, 2 in descending order.\nAnswer: b, 2, 2\/17, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -6*(sqrt(18) + -2*sqrt(18)) - sqrt(144)\/(sqrt(32)\/sqrt(4)))\/(sqrt(63)\/(sqrt(7) - (sqrt(7) - sqrt(7)*1*5)))*-6*2.\nAnswer: -360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 497080.1ug?\nAnswer: 497.0801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165 - (48 + (-17 - -105))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25852451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/13 - 239593944*o\/13 + 7175657250184392\/13.\nAnswer: 2*(o - 59898486)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2. Let j(t) = t**3 + 4*t**2 + 2*t + 1. Let v be j(-3). Let o(g) be the first derivative of 25 - 13 - v*g**2 + 2*g**2. Give o(u(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1817793.\nAnswer: 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + sqrt(28) - sqrt(112)*2)**2.\nAnswer: -48*sqrt(7) + 263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341 - -1661. Suppose -5*a = -n - 1320, 0 = 8*a - 3*a + n - f. Calculate the highest common factor of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1023 (c) 6 (d) 5 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 70, 581*g - 3*r + 386 = 688*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, 0.1, -4, -1 in increasing order.\nAnswer: -4, -1, 0.1, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from xxxxxxtxxtxtxxxxxx?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(88\/6 - 0). Suppose -d = g + o - 28, -8 = 4*g. What is the units digit of d\/(-7) - (-8)\/(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 8. Let x(b) = 314*b + 331*b + 2 - 2 - 644*b - 2. What is the remainder when 67 is divided by x(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -15926672.\nAnswer: -15926672.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a meter in millimeters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 8*y + 2. Let d be x(6). Let n = 4 - d. Let s(v) = v**2 - v - 6. Calculate the lowest common multiple of s(-4) and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3552, 3551, 3550, 3549?\nAnswer: 3548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/340 - (-4 - 77\/14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/6, 0, 10, -0.72?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*j**3 - 2034*j**3 + 7653*j**3 - j**3 + 3*j**3 - 3*j**3 + (4*j**2 - j**2 - j**2)*(j + j - 4*j) + 3*j**2 + j**3 - 3*j**2 + j**3 - 6*j**3 + 2*j**3.\nAnswer: 5503*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -10669914.2981.\nAnswer: -10669916.2981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 133*j + 48. Let p(r) = -r**2 - 7*r + 7. Let n be p(-5). Is k(n) 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 {q: 13, c: 5}. What is prob of picking 4 c?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 3*w**2 - 3*w + 1 - 4*w**2 - 22*w**3 to the form h*w**3 + t*w + r + b*w**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.425664 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 2:38 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46648 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 u = -248.783 + 248.883. Let j = 1226 - 60076\/49. What is the nearest to u in 5, 2\/13, j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9210 - 0.04.\nAnswer: -9210.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -11*k + 6*k. Let i be 3\/k - 11\/(-7). Solve 0 = i*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -0.011 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91643 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 26 = 2*k. Sort k, -1, 17, 4\/5 in descending order.\nAnswer: 17, k, 4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) - 5*2*sqrt(13))**2.\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1832\/364 - 5)*(-25 - -32)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 5*h**2 - 4*h - 5. What is s(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:17 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1179 and 21.\nAnswer: 8253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 4*g**2 - 14*g - 7. Let q be l(-6). Suppose 2*h = 2*o + 391990, -q*o = 3*h - 6*h + 587975. Round h to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75 - 104 - 25) + -40?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12898\/14119 or 0?\nAnswer: 12898\/14119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213613856?\nAnswer: 2, 6675433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - n**3 + 4 + n**3 + 4 - 4 + 2*n**3 + 2 - 2 + (5 - 2 - 2)*(-2*n**3 - 3*n**3 + 7*n**3) - 1 + 2*n**3 + 1 + 27*n - 16*n**3 - 27*n - 8*n + 8*n - 4*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12650*t**4 + 22*t**3 + 19*t**3 - 59*t**3 + 18*t**3)*(2 - 1 + 0).\nAnswer: -12650*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-4 + -5 - -3) + 488 + -470?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -5. Let h = g + -4. Suppose -y - 2 + 3 = 0. Calculate the smallest common multiple of h and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/(-31))\/(4962\/25637)\nAnswer: 47\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 + 8. Let w(m) be the third derivative of m**5\/60 - m**3\/2 + 20*m**2. Let t(s) = -3*d(s) - 8*w(s). Let g(j) = 10*j**2. Calculate t(g(v)).\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 312484270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 1:50 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(704) + 3)*3*2 + -1)**2*-6.\nAnswer: -153414 - 8640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) - (-1211)\/1. Let g = q + -646405\/534. Let z = 32\/623 - g. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 1, 2, 77 in decreasing order.\nAnswer: 77, 2, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(89604\/(-131879)) + -53.\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-1)\/((-2)\/(-4)))*-5. Suppose 25 + 1 = g*f - 2*v, 2*f - 3*v = 17. Let h = 32 - 27. Solve f*q - h + 21 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:04 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.34369651 and -10.89.\nAnswer: -10.54630349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 112 = 115 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 779*j**3 + 21*j - 782*j**3 + 20*j - 41*j.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, -46431, -5 in descending order.\nAnswer: 8, 5, -5, -46431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 5:57 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -100\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 920\/263810*(-682)\/88?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742156069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 k when three letters picked without replacement from kfkkcfkcfkkwf.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/55924 and 79\/1353.\nAnswer: 167772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = -5*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 12\/42) + 8\/(-70). Is p at least as big as -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -8. Suppose 2*l - 6 = 5*k + 7, -2*k = -5*l + 22. Suppose 140 = l*b - 2*u, 2*b + 3*u - 62 = 6*u. Calculate the remainder when b is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.09, 3, -0.07?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2876676 is divided by 9818.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 344*t**2 - 4*t - 4. What are the prime factors of c(-1)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2311*l**4 + 268079*l**3 + 542737*l**2 + 271993*l - 354 = 0. What is l?\nAnswer: -1, 3\/2311, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18757\/1030 or 17?\nAnswer: 18757\/1030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**3*z**4 + 128*i**3*z + i**3 - 2*i**2*z**2 + 16019*i*z**4 - 10*z wrt z.\nAnswer: 96*i**3*z + 384456*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -35. Let n = -3 + 4. Sort -3, 17, n, z in descending order.\nAnswer: 17, n, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-154)\/(-66) + (-2)\/(-3). Suppose 4*m + 111 = v*o + m, -3*o + 5*m + 101 = 0. Calculate the smallest common multiple of 12 and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (5*(sqrt(110) + (1*sqrt(110) - sqrt(110))) + sqrt(110)))\/(sqrt(160)*-1).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7588807 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 368890024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*p + p + 1 - 1 + (-4 + 1 + 2)*(-3 + 3 + 2*p) + 2*p - 2*p - 2*p)*(39*p**2 - 19*p**2 - 8*p**3 - 22*p**2).\nAnswer: 40*p**4 + 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 1 - 0. Let y(k) = k - 1. Let c(s) = 2*s**2 + 148*s - 73*s - 71*s - 2*s**3 - 6. Calculate f*c(z) - 6*y(z).\nAnswer: -2*z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 31. Let u = t - 15. Factor 10\/3*q**u + 0 + 4\/3*q + 14\/3*q**2.\nAnswer: 2*q*(q + 1)*(5*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*v = 93*v + 65 - 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50.024 - 0.024. Let y = b + -50.004. Let a = y + 0.004. What is the second biggest value in -0.3, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 4. Let k(r) = 3*r - 13. Let h(b) = 6*k(b) + 17*s(b). Let d be h(16). Solve -2*t + 0*n = 2*n - d, -4*n = -2*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 188*l**2 - 5848*l - 60112.\nAnswer: -2*(l + 26)*(l + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -344020.\nAnswer: 344019.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**3 + 63*r**3 - 35*r**3 - 42*r**2 + 49*r**2.\nAnswer: 8*r**3 + 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(13) + sqrt(13) + 1*sqrt(13))) + 3)*-3 + 5)**2.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/24 - 3\/4. Solve 3*r - 1 = t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 26*b**3 + 44*b**2.\nAnswer: 2*b**2*(b - 11)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 64*a - 134*a - 5*a**3 - 5*a**3 + 70*a - 1. Let s = -3 - -7. Suppose 4 = -4*j - f, -s*j + f = -3*f + 4. Determine r(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 4 + 0*u - 5. Let w = 2 - -5. List the prime factors of x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 258*w - 564 with respect to w.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 644761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:56 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 5\/6, -5, -2\/13?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stsssssststssstssss. Give prob of picking 1 s and 2 t.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3232446 is divided by 18366?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let g = i - -5. Let r = 6.8 - g. Put r, 2\/21, -3\/2 in ascending order.\nAnswer: -3\/2, r, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 15. Let y be (8\/(-50))\/((-6)\/15). Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(((-8)\/(-10)*5)\/2). Which is the nearest to o? (a) 0.2 (b) -2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-46.056\nAnswer: 46.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 - 6632*z**2\/9 - 8060*z\/9 - 488\/3 = 0. Calculate z.\nAnswer: -183, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001668274151 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-6)\/48*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 + z**2 - 1. Let i(v) = 3*v**2 + 25 - 4*v**2 - 24 + 2*v**3. Give 5*i(x) + 3*l(x).\nAnswer: x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwww. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/6 - 103471*v\/6 - 34491 = 0.\nAnswer: -2, 103473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**2 + 110*c - 115 = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -48. Let y = d - 3. What is the greatest common factor of y and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.3 + 24.4. Sort j, 1\/9, 9, 24.\nAnswer: j, 1\/9, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2615824 - 996628315\/381. Let f be (-24)\/(-1143)*15\/20. Let w = f + d. Are 1 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 9*c**2 + 2*c + 11. Let j be g(-9). Which is greater: -13\/2 or j?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 17*b + 5. Let l(c) = 29*c + 5. Let w(m) = -30*m - 4. Let f(u) = -4*l(u) - 3*w(u). Give 5*f(x) + 8*n(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 73 = -23. Suppose q + 3*n = f, -4 = -4*q + 5*n - 10*n. Suppose -3*r = 5*c + 9, -2*r + 3 = -3*c - 3*r. Sort -5, c, q in descending order.\nAnswer: c, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t**3 + 143*t**3 - 31*t**3 + 90*t**3.\nAnswer: 171*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-357)*29784\/(-1168)*(-28)\/18\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14 + -12 - 3)*0. Which is smaller: 12\/209 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035328791 to six dps.\nAnswer: 0.000353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*s + 14, -5*z - 23 - 7 = 5*s. Let b be -2*(1 + (-165)\/168). Let c = -47\/252 + b. What is the closest to 2\/7 in z, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162179037.9 rounded to the nearest 100000?\nAnswer: 1162200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjy when three letters picked without replacement from gjggjjjyjbgajjjgjjg?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)\/f**(-1))\/(f**(-4)\/(f**(1\/4)*f)) assuming f is positive.\nAnswer: f**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 1. Let l(i) = -i**2 - 2*i + 7. Let o(w) = -l(w) - 3*u(w). Let x be o(3). Let r be (0 - x)*45\/(-30). Solve -2*f + r*f = 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19072.26731 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**6\/300 - 19*i**5\/50 - i**4\/60 + 19*i**3\/5 - 3819*i**2. Find k such that x(k) = 0.\nAnswer: -1, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.07 and 15461\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3*(-15)\/(-75)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-170)\/(-255))\/(4\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5737133 by 5737133.\nAnswer: -1","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 {k: 1, t: 2, u: 1, w: 2, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27542*a**4 - 13876*a**4 - 12866*a**4 - 933 with respect to a.\nAnswer: 3200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36875 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 2*r + 1543. Is z(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 32224*f - 1514551. Determine a(47).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314, -630, -946?\nAnswer: -1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Let w be 2 - f\/(-1 + 4). Let x = -42 - -83\/2. Sort x, 2, w in descending order.\nAnswer: 2, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1630193585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.783658213 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -5*u**4\/24 + 53*u**2 + 3. Let j(k) = -15*k. Give h(j(z)).\nAnswer: 75*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/33 and 10\/77.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2443 + (-1 - 28\/(-36)). Let t = v + -2449. Calculate the common denominator of 31\/2 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 4 + (6 - 8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 56\/4 + 3\/3 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4618502 = -256*i + 755558 + 1623444. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 166 = d - 4, 0 = -b. Let l be 3 + 0 + (-9336)\/(-56). Let m = d - l. What is the closest to m in 1\/3, 4, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 q when four letters picked without replacement from bbbbbbbqqqbqqqqb?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.4 - -7. Let r = -0.1 + l. Let u = -40 - -39.9. Which is the smallest value? (a) u (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/75))**(-3\/2)\/(b**(-2\/13)\/b)**(-46) assuming b is positive.\nAnswer: b**(-17237\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.96168ng to micrograms.\nAnswer: 0.00196168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*b*f**4 - 2*b*f**2 + 9*f**2 wrt f?\nAnswer: -3600*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, s: 3}. What is prob of sequence sd?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 457*t**5 - 1163*t**2 - 20*t + 5421 wrt t?\nAnswer: 9140*t**3 - 2326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -392.797, 4\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w + 4*m = -21, w - m = 7. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p + 0*p - 7*p + (2 + 3 - 3)*(-p - 2*p + p) - 2*p - 30 + 30)*(3 - 5 - 1 + 0 + 2 - 1 - 5 + 2 + 2 + (-3 - 2 + 4)*(2 - 5 + 1)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 29. Suppose -3*g + 2*x = 4, 2*g + 5 = 3*x - 6. Let p = 0 - 2. What is the nearest to p in o, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1. Let g(x) = 2*x**2 - 2*x - 7. Give -g(y) + 4*r(y).\nAnswer: -2*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 = -4*v - 5*z, -4*v + z - 177 = -6*v. What is the remainder when v is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33077764 (base 8) to base 13\nAnswer: -161c6a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287288650.\nAnswer: 2, 3, 5, 15248591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11052.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.24, 804\/23, -38 in decreasing order.\nAnswer: 804\/23, -0.24, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/38)\/(3\/(-6)). Let g = 6 + -5. What is the closest to g in -2, b, -4\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 69.67. Let z = k + -0.23. Which is the smallest value? (a) 0.4 (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 55 = -18*y. Sort 57, 1, y in decreasing order.\nAnswer: 57, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - 2*a**2 + 2*a**2)*(3 + 2 - 3) - 97*a**4 - 40*a**4 + 86*a**4.\nAnswer: -55*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -1141, -1788, -2435, -3082, -3729?\nAnswer: -4376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1422 and -0.5.\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -654 + 658. Calculate the remainder when (f + -7)*2238\/(-18) is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7822379*g. Let l(o) = -2*o**2. Determine l(r(y)).\nAnswer: -122379226439282*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 13*d**2 + 4*d - 177. Give y(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.332, -178.8, 1\/8?\nAnswer: -178.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2. Let z(t) be the third derivative of -t**5\/5 + 4*t**2. Determine y(z(a)).\nAnswer: 432*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k. Let l be 4 + 3 + (-3 - -1). Suppose 4*y - 3*z = z + 24, -l*y + 3*z + 24 = k. Solve x = y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1278 and 3692.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 - -0.4983123517?\nAnswer: 0.5583123517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3869237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + 14 + -20 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 38 = -5*n. Let s = n - -40. What is the third derivative of -3*f**3 + 13*f**3 - 6*f**s - 7*f**3 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**5\/(r**(1\/6))**(-4\/21) assuming r is positive.\nAnswer: r**(317\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*l + 14 = -9*t - l, 5*t = 3*l - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09084 - 0.30916. Which is the fifth smallest value? (a) y (b) 56 (c) -2 (d) 5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/8, 22, 4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-102)\/459 - (-11)\/(99\/9110) and 242.\nAnswer: 11132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253781093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11518 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: Let h = 1948 - 1118. Round h to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 6:42 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 584663, 1169329, 1753995?\nAnswer: 2338661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) - (-6)\/4. Let n be -1*(-1 + (-3 - 0 - 5)). Suppose n = w + 1. Calculate the greatest common divisor of v and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of -29 + 2 + (-168 - -40726)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -164 - -166. Find the third derivative of -32*v**3 - 26*v**3 - 37*v**3 + 285*v**2 - 131*v**2 - 119*v**y wrt v.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62059 and -6374428?\nAnswer: 6312369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 7:48 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -418 greater than or equal to -418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 3, a: 2}. What is prob of picking 3 u?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1617, 2, -3?\nAnswer: 1617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/(-12) + -3 + (-2 - 1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12790 + -12786. Factor z*o**3 - 24*o + 26\/5*o**2 + 72\/5 + 2\/5*o**4.\nAnswer: 2*(o - 1)**2*(o + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**1*a)**(-1\/4)\/((a*a**6)\/(a**(2\/21)\/a)) assuming a is positive.\nAnswer: a**(-187\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8269366 to the power of 1\/2, to the nearest integer?\nAnswer: 2876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (6 - 2)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25779962 divided by 559\nAnswer: 46118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8789053 and 3304?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1236488 to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -8, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 5415?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008435 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 23*m**2 - 14*m + 167. Let n be k(-22). Let c be 2\/(-6) + (-20)\/3. Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) 0 (c) 6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154953*j**3 - 4*j**2 - 13619*j - 4206 wrt j.\nAnswer: 929718*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 64, 70, 76, 82?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 206963694089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4074313 - 4074313 - a. Let z(s) = -s**2 + s + 1. Give 3*i(f) - z(f).\nAnswer: f**2 - 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*l + 1 = 4*b, 3*b - 3*l = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16708 - -83537\/5. Let c = -2.3 + 2.35. What is the nearest to -1 in -2, 3, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2566, -11959, -27622, -49555, -77758, -112231?\n\"Answer: -3135*u**2 + 12*u + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((-6)\/(-21) - (-48)\/(-14)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183.48 - 183.51. Which is the nearest to -0.2? (a) k (b) 37 (c) -1\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 52 = -208. Suppose -7 = -2*a + i. Suppose 0 = -d - 0*d + m + a, 5*d + 4*m = 216. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 5*v - 7, q - 4*q + 5*v - 4 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30445 = 14*a - 9875. Is a a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1557783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 + 46. Let o = -86 - g. Which is the nearest to o? (a) 0 (b) 1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95.93 + 91. Let k = -0.93 - x. Let i = 2353\/12 + -196. What is the second biggest value in i, 0.1, 0, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - d**2 + 7*d - 7. Let l(m) = -6*m**2 + 48*m - 95. Let t be l(4). Calculate f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*2*sqrt(429))\/(5*sqrt(11)*1))\/((-6*-2*sqrt(432))\/sqrt(9)))**2.\nAnswer: 13\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f**2 + 88*f - 34*f + 5*f**4 - 44*f = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/100 - 4\/25. Let d = -0.2 + 0.2. What is the closest to -1 in 0.4, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14902.99 millimeters in nanometers?\nAnswer: 14902990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 - 25706*f\/5 + 25708\/5.\nAnswer: -2*(f - 1)*(f + 12854)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*q = -4, -3*q - 6 = -3*t - 2*t. Suppose t = 13*p - 346 - 18. Calculate the highest common factor of 28 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u - 83*u + 13 + 40*u + 45*u + u.\nAnswer: 47*u + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030135 minus -37.9?\nAnswer: 37.930135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 + 7609 = 5*q + 4*a, -3*q + 4320 = 3*a. What are the prime factors of q?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -15094620790.\nAnswer: -15094620788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75039648 > 75039646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04238 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x - 2*x**2 + (0*x**2 - 4*x**2 + x**2)*(1 - 2 + 3).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26, -87, -210, -413, -714?\n\"Answer: -3*a**3 - 13*a**2 - a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(21\/(-7)))\/(1\/10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 24598.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = -6*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d + 4*c - 15, -5*d + 5*c + 25 = 0. What is the hundreds digit of 1550\/d + (-66)\/154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 743220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2785, 4935, 7085, 9235, 11385, 13535?\n\"Answer: 2150*y + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 2 - 0 - 128\/(-112). What is the smallest value in m, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28000 = 5*x + 2295. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 11 = -4*z. What is the smallest common multiple of ((-6)\/z)\/(2\/30) and (-16)\/(-20)*((-196)\/(-40) + 3\/30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a. Suppose -4*m = -3*m + 2*s, 0 = 3*s + 3. Let p(h) = -h**2 - 5*h**m + 3*h**2. Give p(o(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33134 is divided by 263.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 - 8226*u - 24700. Calculate d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(-5 + sqrt(3) + sqrt(27)))**2.\nAnswer: -25000*sqrt(3) + 45625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 2.385.\nAnswer: -2.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -2 - (-23 - (-8 - 14))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + c + (0 - 6 + 4)*(-2*c + 1 - 1) - 3*c - 3 + 90*c + 81*c + 0*c + 4*c + 0*c to j*c + t and give j.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 10) to base 16.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 18*q - 27. Let o be v(-21). What is the greatest common factor of 24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121220200102 (base 3) to base 13.\nAnswer: b86c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 16, 4 in decreasing order.\nAnswer: 16, 10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3245\/8437)\/(6\/(-468))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**5 + 8*l**3 + 15*l**2 + l + 2610.\nAnswer: -40*l**3 + 48*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/349 (b) 49 (c) 5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -704 divided by 88.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 134?\nAnswer: 2278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqqqnn. Give prob of sequence lllq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 3*m - 649 - 1837 + 0*m - m.\nAnswer: 2*m - 2486","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 18306.\nAnswer: 18306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 2471*u**6\/60 - u**5\/30 + 267*u**3 - 28*u**2 - 96. Find the third derivative of v(k) wrt k.\nAnswer: 29652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*k - w - 17, -4*k - 4*w = 64. Let f be 85 + -6*(-14)\/k. What is the greatest common factor of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.91 and 3919711?\nAnswer: 3919717.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 441 - 446. Is ((-1)\/(-3))\/(((-20)\/122868)\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 5*p**2 + 7*p - 5. Let s be h(6). Factor -g**2 + 2 - 1 - g**3 - s.\nAnswer: -g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -15*q + 2. Suppose -9*k + 366 - 3 = 24*k. Let a(r) = 46*r - 6. Give k*x(t) + 4*a(t).\nAnswer: 19*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11813 - 33146 = -623*f + 76*f for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 138310 = -5*z, 11*g = -4*z + 6*g + 110603. Let a = 44146 - z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 0 + 4\/7*b**2 + 2\/7*b**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j**2 + 0*j**2 + 11 - 8*j + 12*j**2. Let f be x(-9). Solve z = 4, 3*h + 5*z = 31 - f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 = -0. Suppose -5*l + t + 2332 = 0, -1408 = -2*l - l + 5*t. Suppose -26*v + l = -80. What is the highest common factor of v and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1520694 divided by 253449.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2 + 6. Let d = 1 + -1. Suppose d*b = k*b - 334. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*q**2 - 12*q**2 + 15*q**2.\nAnswer: 52*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1310, 1373, 1428, 1475, 1514, 1545, 1568?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 4. Let o(a) = a**2 + 4*a + 4. Let z be o(-4). Let p be q(z). What is the biggest value in -0.5, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -231 + 224222141?\nAnswer: 224221410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(833) + -1*sqrt(833)*3)**2.\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5 + 14*h**4\/3 + 10*h**3\/3 - 14*h**2\/3 + 2*h\/3 = 0.\nAnswer: -1, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(360))\/(sqrt(324)*-4))**2.\nAnswer: 5\/46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/5, 0.4, 30, -1, -10, -4 in decreasing order.\nAnswer: 30, 11\/5, 0.4, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 3*d - 7. Let r be (-6)\/2*-1*17. Let i = -58 + r. What is the tens digit of w(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336\/5 - (-5)\/(-25)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 5:35 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2 (c) 63\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is j in -2*j**3\/19 - 14*j**2\/19 - 30*j\/19 - 18\/19 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24814, 100561, 226830, 403621, 630934?\n\"Answer: 25261*x**2 - 36*x - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0 + 18*a + 5\/2*a**3 + a**2 + 1\/2*a**4 - 1\/20*a**5. Factor u(f).\nAnswer: -3*(f - 5)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - l**2 + 2*l - 6 + 0*l. Suppose -u + t = 4*u - 23, -5*u - 2*t = -14. Does 6 divide c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12279233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*s - 10*s + 39519, -f + 7907 = s. What is the remainder when s is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + n = -0*n + 8, 7768*n - 7773*n = 10*u + 80 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(88 + (-6)\/6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3434 - 3434 + 7*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 5*b**2\/2 - 5*b - 2. Let t(a) = -14*a + 14. Let i = 34 + -17. Give i*o(p) + 6*t(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4988150 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/14)\/((-790)\/(-948)). What is the closest to 1 in 0.1, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.2. Let t = -24 + 24.28. Let h = t - 0.28. Which is the nearest to h? (a) -3 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 33*t + 8. Suppose 3*b - r - 2 + 1 = 0, 4*b - 3*r + 7 = 0. What is the units digit of h(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39055.17 + -139981.677\nAnswer: -179036.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.087141147 and 398.7.\nAnswer: 398.787141147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*g - 3*t, -787*g - t = -791*g - 23. Put -3, -1, g, 231, -4 in decreasing order.\nAnswer: 231, -1, -3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10111414 (base 5) to base 7\nAnswer: -461246","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 3)*(-j + j - j + (-3 + 3 + 2)*(3*j + 3*j - 5*j) - 51 + 51 - 6*j) in the form n + s*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Suppose -602 = -v*y + 4*x, -2*y - 5*x - 9 = -584. Let l = y + -84. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.78 + 8.78. Which is the biggest value? (a) 3\/335 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5818*v. Let r(l) = -2*l. Determine r(k(j)).\nAnswer: -11636*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 59022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = 4*j, 4*u - 11 = -j - 1. Solve 0*v = 3*v + u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5759*k**3 - 5*k**2 - k - 5. Let d be 6\/15 + 54\/(-10). Let n be l(d). What is n rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**2 + 5*l + 11. Let z(a) = -9 + 3*a**2 - 25*a + 4 + 22*a. Let s(v) = -4*k(v) - 9*z(v). Calculate s(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s = 54*s - 2*u + 24131, 10 = 2*u. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q*s**5 + q*s**2 + 13*q*s - 151*s**5 + 32*s**4 + 20*s**2 + 86 wrt s.\nAnswer: 360*q*s**2 - 9060*s**2 + 768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*z = -12*z + 792 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 397590079 to the power of 1\/2, to the nearest integer?\nAnswer: 19940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -113*d - 2. Let z(x) = 25*x + 2. Calculate w(z(a)).\nAnswer: -2825*a - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 9:34 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 3*h**5 - h**5 + (h - h + 2*h**3)*(5 - 5 + 11*h**2).\nAnswer: 23*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189 - -173. Sort 0, p, -3 in ascending order.\nAnswer: p, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*a - 0*z + 2*z, -2*a + 4*z + 8 = 0. Let m be 1\/a - (-45)\/12. What is the derivative of -u**4 + 0*u**4 + 1 + 1 + 3*u**m wrt u?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3 - 305610*m**2 - 1833604*m - 2444784 = 0.\nAnswer: -152799, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/27 - 5\/(-15). Let d(a) be the first derivative of -a**3 + 3\/2*a**4 + 3\/5*a**5 + 0*a - 3 - x*a**2. Let d(j) = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*q*y - 185*j*y + 2*j + 160*q*y - 3*q + y - 3 with respect to q.\nAnswer: 2*j*y + 160*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 131+0.03\nAnswer: 131.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {x: 2, z: 1, g: 3, t: 1, r: 2, n: 9}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02 and -34168?\nAnswer: 34168.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 + (2 - 2))\/(-5 + 3). Let w(g) be the third derivative of -6*g**2 + 0*g + 1\/24*g**4 + 0 + 0*g**3. What is w(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5953*b**3*m**3 + b**3*m**2 - 3*b**2*m - 54*b*m**2 + 3*m wrt m?\nAnswer: 35718*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b14 (base 12) in base 16?\nAnswer: -13c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 + 2.8. What is the second biggest value in d, -1\/6, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-19 + -5)) + (9 + -4 - 20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 201467, -1\/5?\nAnswer: 201467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4*9\/(-66))\/(168\/(-1232))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/207*6\/(-8)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 u, and 1 o when three letters picked without replacement from kkooksuuueuouooosuo?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, 33, 1, 0.4, -4, -3\/94 in decreasing order.\nAnswer: 33, 12, 1, 0.4, -3\/94, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-112)\/(-231) + (-2)\/(-11). Let i = -0.1 - -31.1. Let f = 33 - i. Which is the biggest value? (a) -2 (b) m (c) f (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003264 to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660*s - 674*s + 28 = 0. Solve -p - h + 12 = 2*h, 3 = s*p - h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 629 - 9*i + 19*i - 629 - 8*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 2266\/(-165))\/(8\/3 + -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -77, -126, -197, -302, -453, -662, -941?\n\"Answer: -2*b**3 + 7*b**2 - 46*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005482368695 rounded to 7 decimal places?\nAnswer: 0.0005482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 420473*j**4 - 19*j**3 + 61793341*j**2 wrt j.\nAnswer: 10091352*j - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3934\/10677, -1\/5, 0.4.\nAnswer: -3934\/10677, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 106, 145, 180, 211, 238, 261?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -13 + 7 - (2 + -1)\/(3\/(-23997))?\nAnswer: 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10111001?\nAnswer: 10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*t + 2*t - 1517, 5*z - 1880 = -2*t. Calculate the highest common factor of 42 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let u = -34 + 33. Which is the nearest to 1\/3? (a) -0.4 (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 55*y**3 - 9*y**2 + 11*y + 10. Let k be (10\/3)\/(8\/(-24)). Let r be d(k). Round r to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.592 + -0.792. Which is smaller: -1\/520 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n - 1. Let m(j) = -4*j**2 + 3. What is m(b) + 5*z(b)?\nAnswer: b**2 + 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 4*k**2 + 3*k**2)*(k - 4*k + 5*k + (1 - 1 + 2*k)*(0 + 2 - 1) + 1 - 2*k - 1 - 2*k - 5*k + 3*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-2))\/(-6)*(-2 - -2). Suppose 2*n - 2*x + 0*x - 26 = z, -3*n + 2*x = -36. Solve 0 = u - 3*s + n, -2*u - 5*s + 22 = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 189. Suppose -224*i**3 - 82*i**4 + 97*i - i - 14 + 104*i**2 - z*i**4 - 22 = 0. What is i?\nAnswer: -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c*c*c*(c*c\/(((c\/c**(-17\/6)*c)\/c)\/c))\/c*c)*c**(-1\/10)\/c assuming c is positive.\nAnswer: c**(-49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2*o**2 - 3)*(2*o**2 - o**2 - 3*o**2) + 0*o**4 + 0*o**4 + o**4)*(-5 + 6 + 0).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**3 + 2*k - 2*k)*(4*k - 5*k + 8*k) as b + g*k**3 + j*k**2 + r*k + m*k**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 + 4*z**3 + 146 + 6.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 14, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*j + 15 = 50, 0 = -4*u + j + 8. Solve -3*w - 3*v - 21 = 0, 0 = w - 2*v - u + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 8*p**2 + 7*p - 9. Let u be c(-7). Let d = 2 - u. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(-2\/39)*g)))**41 assuming g is positive.\nAnswer: g**(1517\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67 and 231.899?\nAnswer: 15537.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 15*w**2 + 8*w + 18. Let k be s(8). Let x(r) = -29 - 2*r**2 + 2*r + 7 + k + 7. Calculate x(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + 2) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-60)\/27)\/5 - 18\/(-81). Put w, 0.11, 1\/4, -5 in descending order.\nAnswer: 1\/4, 0.11, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 43842*y**3 + 319294374*y**2 - 764770873030*y - 56735142579504.\nAnswer: 2*(y - 7331)**3*(y + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 - 41?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 660049, 1320107, 1980181, 2640283, 3300425, 3960619, 4620877, 5281211?\n\"Answer: 2*z**3 - 4*z**2 + 660056*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4*9\/(-432)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**6\/60 + 24*o**5\/5 - 959*o**4\/12 - 2*o**2 + 50*o + 19. Find w, given that y(w) = 0.\nAnswer: 0, 7, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70 + 4*y**3 + 52*y**3 - 99 - 14*y**3 wrt y.\nAnswer: 126*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*x**2 + 90*x**2 - 11*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1534*s**2 + 0 - 1 - 1526*s**2 + 0*s - 6*s - s**3. What is b(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 5:42 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.2. Let s = -0.4 - d. Let r = 1 - 3. What is the smallest value in r, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j - 6. Calculate the remainder when 22 is divided by q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 5*t - t)*(-5*t + 5*t + t) - t**2 + 4*t**2 - 2*t**2 + (2*t - t + t)*(-t - 1 + 1) + t**2 - 4*t**2 + t**2 - t + t + t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-1302)*(-124)\/(-12)*4\/(8\/(-522)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 25304160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 346 (c) 1 (d) -1\/1651\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 2*x**3\/3 - 12. Let i(c) = 6*c + 0 + 0. Determine h(i(t)).\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 23. Let o = s - 2. Let g = -9 + o. Put g, -0.3, 2\/19 in increasing order.\nAnswer: g, -0.3, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eemmmbhbemeeaeeeee. What is prob of sequence eeem?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 2)*(5 - 2 - 2) + 4 - 3 + 1 + 0 + 0 - 2)*(1 - s - s + 4*s).\nAnswer: -6*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 510, 439, 312, 123, -134, -465, -876, -1373?\n\"Answer: -o**3 - 22*o**2 + 2*o + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7542.1 - -7542. What is the biggest value in -2\/7, 0.003, -2, j?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b. Let a(j) = 181*j + 1 + 129*j + 5*j**2 - 578*j - 61*j. Calculate d(a(p)).\nAnswer: 10*p**2 - 658*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -9*a + 27. Let t(h) = -106004*h + 12. Let d be t(a). Round d to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 24*p + 45. Let d(r) = 25*r + 46. Let q(k) = -4*d(k) + 5*x(k). Differentiate q(n) wrt n.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89 (base 13) to base 2.\nAnswer: -1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 662585699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69376 - -109312. What are the prime factors of p?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(44) + -2 + sqrt(11) + -5 + -4*5*sqrt(704)*3)**2.\nAnswer: 6678*sqrt(11) + 2502870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.99274 to two dps.\nAnswer: 2.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*(465\/(-450))\/(-31)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 18375012.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/16)\/((-18)\/32*-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 7*g**2 + 7*g - 9. Let j be m(-8). Let v(u) = 2*u**2 + 12*u + 5. Let b be v(-5). Put 5, b, j in decreasing order.\nAnswer: 5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/24)\/((-78)\/(-1924)) - (-8)\/36\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/9 (c) 4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1058 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 12888704.\nAnswer: 12888704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z**4 - z)*(-3*z + 2*z + 0*z)*(-1 - 3 + 2).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 p when three letters picked without replacement from ppcpppppcc?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-5)\/l)**7*l**(11\/3)\/(l**(3\/10)\/l))**(8\/3))**(-16) assuming l is positive.\nAnswer: l**(72256\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 123 + -1190?\nAnswer: -1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 38*c + 1679. What is the units digit of k(78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.19688 rounded to 1 dp?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2. Suppose -7 = -r - 1. Let l(s) = 2*s - r*s + 5*s. What is m(l(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/8, 1, 2\/9, 16, 1\/6, 3\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 37*p**4 - 5*p + 34. Let j(m) = 18*m**4 - 3*m + 17. Let t(l) = 5*j(l) - 3*v(l). Differentiate t(c) with respect to c.\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 47933504.04483.\nAnswer: 47933501.04483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157 - 157. Let q be ((-6)\/45)\/((-3)\/(-27)). Let x = 1.9 - 2.1. Which is the nearest to x? (a) y (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t + 28*t + 488*t**2 - 12*t + 2047*t**2.\nAnswer: 2535*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 + 124 - (-2 + 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*q + 144*q = 1038. Let i = q + -349. Let k(p) = 2*p - 2. Let f(x) = 6*x - 7. Give i*f(y) + 8*k(y).\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -7689147.\nAnswer: -2\/2563049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12))\/((-402)\/(-1072))*3\/(-13).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 13692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 6*s + 18. Calculate g(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 4*q**3 - 32*q**2 + 48*q.\nAnswer: 4*q*(q - 2)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + x + 72. Give r(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 + -770973191?\nAnswer: -770972520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156.965 + -157. Let h = 0.0350226 + r. What is h rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:00 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 20*i**3 - 8*i**2 + 150*i + 7. Let c(j) = 21*j**3 - 7*j**2 + 151*j + 6. Let g(b) = -5*c(b) + 4*h(b). What is the second derivative of g(d) wrt d?\nAnswer: -150*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.07 (c) 0.109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16 and -0.09454.\nAnswer: 15.90546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000713 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) - (sqrt(99) + 5*sqrt(99)))*1)\/(sqrt(9) - -4*sqrt(1296)).\nAnswer: 6*sqrt(11)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9857 + -9852. Factor 0*b**4 + 0*b**2 - 1\/9*b - 1\/9*b**w + 2\/9*b**3 + 0.\nAnswer: -b*(b - 1)**2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16415012 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-60)\/(-32)) - (-2 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8. Let p(y) = -13*y - 17. Let a(z) = 11*z + 17. Let n(f) = -7*a(f) - 6*p(f). What is 2*n(h) - 5*q(h)?\nAnswer: 2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.644739 and -0.1.\nAnswer: -1.744739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - y + 19 = 0, -53*d + 48*d = 3*y + 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31180)\/(-30) - -1*(-2)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(-3*i + i**3 + 3*i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 489339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1745*l**3 - 9772*l + 2. Let x(c) = -6980*c**3 + 39087*c - 9. Let t(f) = 9*w(f) + 2*x(f). What is the second derivative of t(d) wrt d?\nAnswer: 10470*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*k**5\/5 - 568*k**4\/5 + 3947*k**3\/5 + 26056*k**2\/5 - 3956*k\/5 - 25488\/5 = 0. Calculate k.\nAnswer: -4, -1, 1, 118\/9, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 371 and 77?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14687869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {x: 1, y: 3, h: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87856.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*k + k. Suppose m + k - 205 = 0. Suppose -35 = -4*l + 3*l + g, 4*g = 5*l - m. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 2 + 5*a**3 - 5*a**3 - 3*a**3 to i + q*a**3 + f*a**2 + s*a and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -m - 2*z + 13, 4*m - 5*z = 2. Suppose 3*y + 3*t = 540, m*y - 4*t - 296 = 209. Suppose b - y = -4*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 427 = 5*r, -2*r + 3*s + 255 = r. Calculate the remainder when r is divided by (-11 - -10)*-22*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 31*y - 22. Let i be w(18). Let d(k) = k - i + 536 - k + k**2. Let m(j) = 5*j**2 + j + 1. Give 3*d(q) - m(q).\nAnswer: -2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - b + 2 + 1 - 2. Let d be ((-24)\/9)\/(2\/12). Let r(u) = -20*u - 12. Let a(z) = d*g(z) - r(z). Find the first derivative of a(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50054355?\nAnswer: 3, 5, 13, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 29*f**2 + 95*f - 123. Give z(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.8 + -32.8. What is the third biggest value in i, 3, 0.036?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/19)*t*t*t**(-3\/13))\/(t*t**(-34))**(-7))**(18\/7) assuming t is positive.\nAnswer: t**(-1018692\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.320068 nanometers to centimeters.\nAnswer: 0.0000007320068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -49*q**5 + 661472*q**4 - 2232845857*q**3 + 3187728182*q**2 + 2368440068*q + 364392008 = 0.\nAnswer: -2\/7, 2, 6749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16675\/4 + 4191. Suppose -2*n - 16 = -5*o, 0*n - 4*o = 2*n - 20. What is the common denominator of h and n + 123\/510 + 3\/15?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729 a factor of 69092909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4. Let p(q) = -1. Let f(v) = -2*m(v) - 7*p(v). Let y(s) = 4*s + 5. Let t = -6000 + 6001. Calculate t*y(c) + 3*f(c).\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12648593*g**4 - 4606147*g.\nAnswer: 151783116*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 5:04 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941127?\nAnswer: 3, 11, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 w when three letters picked without replacement from {o: 2, u: 6, t: 4, w: 1}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 16, -r - 2*l + 53 = -40. Suppose -7*n = -94 - 144. Calculate the highest common divisor of r and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*a + 15 = 0, -3*a + 62 = 3*c + 2*c. Let j(f) = -5*f + 34. Let m be j(6). Suppose p = -m*p + 10. Solve 0 = -p*o + 5 - c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1381 + -1384. Let c be (3 - 3) + -1 + -1. Let m be (26 + c)\/((-12)\/8). Sort 2, m, j, 0.\nAnswer: m, j, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -0.4, 5, 0.4, -171?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619683*g - 619683*g + 5*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Let p be (0 - (-2)\/(-4))*0. Suppose 5*q - z - z - 33 = 0, -2*q - z + 6 = p. Put -0.4, t, q in increasing order.\nAnswer: -0.4, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 33*f - 513. Determine y(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -40 * -3.44\nAnswer: 137.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*d - 2424 = 793, 0 = -3*c - d + 1927. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a2 (base 15) in base 13?\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -28 + 12. Suppose 7*t - 22 = -o. Let c be (-210)\/189*12\/(-10). Which is bigger: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-30)\/v*v**(-5\/7)\/v assuming v is positive.\nAnswer: v**(-229\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2551 - 977 = -146*l + 329*l - 99*l for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655433 is divided by 213?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 21 = -3*r, -5*y - 3*r = -4*r - 11. Suppose 13 = 2*d - b, -2*d + 22 = y*b - 7*b. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 336, 684, 1032, 1380, 1728, 2076?\n\"Answer: 348*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-4*x + 0 + 0).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -63506858 >= -63506858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 0, -2*l - 17 = -4*p + 1. Suppose 4*v = 4*x, p*v - 5*x - 4 = -0*v. What are the prime factors of (-8)\/(-10)*(-95)\/v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1110 = -45*d + 31155. Let y = 549 + d. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.418163+-3012\nAnswer: -3016.418163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7166706 litres to millilitres.\nAnswer: 716.6706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or 83\/10?\nAnswer: 83\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h*h\/(h*h*(h**0\/h)\/h*h*h))\/h*h))**(-21)\/(h\/((h\/(h**(-1\/5)*h))\/h)*h)**(3\/28)*(((h\/(h*h**(-2\/9)*h*h))\/h)**30)**(1\/9) assuming h is positive.\nAnswer: h**(-2581\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8953\/9 - (7 + 195\/(-27))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 12, 30, 4 in descending order.\nAnswer: 30, 12, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3688990241.\nAnswer: 79, 46696079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147639*w - 51 + 135 = 147643*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 7*r + 10. Let v be d(7). Let x = -1 + v. Let w be -1*(5 + -2 + -3). Solve x = -3*t - w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 177 + 144 - 341 = b, -19 = -b + 6*v + 11 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(1\/2)\/z))**(-2\/5)*z**(-1\/9)*z*z*z\/(z\/z**(2\/3)) assuming z is positive.\nAnswer: z**(88\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(33)\/(sqrt(11) + -1*sqrt(11) + sqrt(11)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7994279 years?\nAnswer: 9.5931348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 384150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -416 (base 7) to base 13\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 3, h: 1}. What is prob of sequence tg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w - 5. Let o be (-18 - 3)*w\/9. Let n = 13 + -8. Which is bigger: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = u - 5*q, -2 + 11 = -3*q. Suppose 0 = -3*v + 3*l - u*l + 54, -15 = -5*l. What is the remainder when 33 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/90*45\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1598327, 1598203, 1597995, 1597703, 1597327, 1596867, 1596323?\n\"Answer: -42*d**2 + 2*d + 1598367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Suppose 0 = 2*y - k*y + 15. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 10 = -2*q. Let z(m) be the second derivative of -3\/10*m**5 + 0*m**2 + 0*m**3 + q*m + 0 + 1\/4*m**4. What is the third derivative of z(v) wrt v?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 23*i - 102. Let x be n(6). Solve -u - 5*s - 14 = 0, -3*s = -x*u - 3*u + 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + 13 + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (350\/(-4))\/(-25) + (-6)\/4. Sort -1, 5, 55, h in decreasing order.\nAnswer: 55, 5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1247\/5 + -2547\/10. Let u be (-2)\/4 - (-3084)\/(-68). Let q = -11\/17 + u. Calculate the common denominator of q and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28108 <= 28109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11950 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: 10 + -3419.29\nAnswer: -3409.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 172 or 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, -1, -2801, -4, -3 in descending order.\nAnswer: -1, -3, -4, -5, -21, -2801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/66)\/1*-5.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21c (base 13) in base 15?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25415 - 25412. Solve 13 = -c*z - 5 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271 + 297. Let z = -13 + 23. What is the remainder when w is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -987 + -9. Let m = -648 - s. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280903*r**2 + 229739*r wrt r?\nAnswer: 561806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 86.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -317 + 173. What is the remainder when 57 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n + 92. Calculate b(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 + -79. Suppose s = 3*i + 15. Let r be 22\/(-77) - (-1260004)\/i. What is r rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2 - 65. List the prime factors of f(-10).\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 14, -2, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1463 (base 8) to base 4\nAnswer: 30303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -109, -348, -821, -1606, -2781, -4424, -6613?\n\"Answer: -13*t**3 + 8*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1169.592 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 6. Suppose -7 = 9*t + 20. Let q be u(t). Solve -5*y = -q*l - 5, 2*y - 5*l - 11 = -2*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5\/30 - 5*j**4\/18 - 76*j. Determine x, given that t(x) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*i = -113*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 22 - 6 = 0. Let x(b) = -b + 1. Let s(d) = -10*d + 10. Let u(f) = -s(f) + 5*x(f). What is the units digit of u(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -621 - -1136. Suppose -5*t = h + 143, 5*h + 152 = -t - o. Let c = -38 - h. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c - 4 = -34*c + 2*s, c + 4 = 4*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -102? (a) -3 (b) 1 (c) -1 (d) 1\/4 (e) 42 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 780, 5979, 20096, 47595, 92940, 160595?\n\"Answer: 744*l**3 - 5*l**2 + 6*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199378 a multiple of 694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/906 + -901\/4530. Which is the biggest value? (a) 14 (b) 0.1 (c) h (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*r = 1 - 0, 4*r = 4. Solve 3*w - 4*j - 3 + 14 = 0, 0 = t*w + j - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -670*y. Let b(d) = -1340*d. Determine 2*b(q) - 5*w(q).\nAnswer: 670*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11293*k**3 + 45688*k**3 - 17195*k**3 - 17202*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 85. Let j = 45 - 23. What is the lowest common multiple of y and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-nine fifths of a meter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 3:24 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1266130 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 3*n - 2. Let r be y(-1). Suppose 0 = r*d - 2*d - 6. Suppose -16 = d*x - 7*x. Solve x*k - a - 14 = -0*k, k - 1 = -a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -697, -1375, -2015, -2599, -3109, -3527, -3835?\n\"Answer: 3*v**3 + v**2 - 702*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2223 - 3?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4367.03 and -0.3.\nAnswer: 4366.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4*l**4 - l**4 - 2*l**4 + 2 + 2*l**2 - 3*l**3 as t*l + r + m*l**3 + f*l**4 + o*l**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 5. Let z(y) be the second derivative of -y**3\/6 + y**2\/2 + 9*y. Let a(r) = s(r) + 6*z(r). Give a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2866*q**4 - 284*q**3 + 14*q**2 + 300630279*q wrt q.\nAnswer: -34392*q**2 - 1704*q + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**44\/(y**(-20\/3)*y))\/(y**(-30)*y*y**(-22)*y) assuming y is positive.\nAnswer: y**(299\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5 = -7. Suppose -12 = c*w - w. Let q(l) = l**3 + 5*l**2 - 6*l - 2. Calculate q(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1238\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58328, 58320, 58308, 58292, 58272, 58248?\nAnswer: 58220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -3, -10, -31, -72, -139, -238?\n\"Answer: -u**3 + 2*u**2 + 2*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u**2 + 179*u. Let b(z) = -8352*z + 2. Determine b(t(i)).\nAnswer: -91872*i**2 - 1495008*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.36, 0.2, -80, 1, -0.3, 0 in descending order.\nAnswer: 1, 0.36, 0.2, 0, -0.3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.032211*0.93\nAnswer: -0.02995623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1602517mg in grams?\nAnswer: 0.0001602517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**8\/35 + 17*j**4\/6 + 58*j**3\/3 - 39. Let q(g) be the third derivative of h(g). What is the derivative of q(w) wrt w?\nAnswer: 192*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 149*w - 4706. What is t(22)?\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 (base 11) in base 4?\nAnswer: -22022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -52. Let t(i) be the third derivative of -i**5\/60 - 7*i**4\/12 - 2*i**3 + i**2. What are the prime factors of t(w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44, 94, 144, 194?\n\"Answer: 50*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 7*x - 19. Let j(n) = -n**2 + 3*n + 9. Give -3*g(w) - 7*j(w).\nAnswer: w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3681 to two dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 238141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*274\/(-411). What is the closest to -0.03 in -1\/2, -3, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/((-6)\/1) - -6. Let p be (25\/c)\/(7\/(-54096)). What is p rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 9*l**2 - 5*l + 7. Let q be c(8). Suppose 4*x = -4*s + 132, s + 0*x = -3*x + q. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/426*40\/35\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - a?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47234 = 40*m + 4234. Calculate the greatest common divisor of m and 1376.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(-3 + 1 + 1) - 2 + 1 - 1 + 1 - 6 - 2)*(-17*k**5 - 45*k**5 + 38*k**5).\nAnswer: 192*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*j**2 - 46*j**5 - 2*j + j - 4*j**2 + 4*j wrt j?\nAnswer: -2760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - -18. Let m = u - 23. Suppose -1232 = -6*f - 1124. What is the least common multiple of f and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((-3)\/(-16))*16\/96.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6516 >= 6515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2678 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (4 + 4 + -4 + 3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10913333077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 - 4 + 4*q**2 + 20*q + 28 - 4 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*l**2 + (-4*l + 6*l - l)*(-4 + 4 - l) + (-l + 2*l + 2*l + (3 + 0 - 4)*(-4 - l + 4) + 0*l + 0*l + 5*l)*(-3*l - 2*l + 4*l).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13250 + 1488*q**5 - 1290*q**2 + 6626 + 6624 - 224*q**2 wrt q?\nAnswer: 89280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 5*d**2 + 2*d + 15. Suppose -11*k + 6*k = -20. Does 16 divide f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3005633926?\nAnswer: 2, 47, 31974829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34479*r + 90933?\nAnswer: 34479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**3 + 65 + 20*z**2 + 3*z**3 - 87*z + z**3 + 69*z. Let o be d(-21). Solve 0 = -o*s - 14 + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -20\/71?\nAnswer: -20\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 144, 176, 214, 258, 308, 364?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*x, -4*x - d - 14 - 13 = 0. Let w(r) = 6*r + 13. Let p(u) = 1 + u + 2*u + 6. Let i(g) = x*w(g) + 11*p(g). Differentiate i(c) wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -24*m**3 - m**2 - 3*m - 1. Let d be y(-1). Suppose -3*k = 3*j - 45, 9*j = 11*j + k - d. Calculate the remainder when j is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, 0 in decreasing order.\nAnswer: 10, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*g + 5 = 3*g, -4*g = c - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a week?\nAnswer: 74592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 4. Let s be (-2)\/(-5) - 119\/35. Let y be r(s). Which is the closest to 2? (a) y (b) 4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198 + 189. Let d(z) = -z**3 + 10*z**2 + 172*z + 3. Let i be d(q). Suppose 10*t = 5*t. Sort t, i, -3, 1 in descending order.\nAnswer: 1, t, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 700 = -2*g - 4*r, -520 = -3*g + 4*r. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i**2. Let d(c) = 100*c. What is d(v(r))?\nAnswer: 1000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-88)\/396 - (-13)\/18)*14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621737 is divided by 473.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 3, t: 1, o: 2, a: 4}. What is prob of sequence aoao?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2458, 5027, 7598, 10171, 12746, 15323, 17902?\nAnswer: 20483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + 65*t**2 - 1802*t - 289. Calculate p(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:55 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 15 = -11*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -938 + 942. What is the third smallest value in -2, s, -1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**4 + 537*s**3 - 6624*s**2 + 25068*s - 27888 = 0.\nAnswer: 2, 4, 7, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 33?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0113475 to 4 dps.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + (sqrt(38) - sqrt(950)*1))\/sqrt(2) + 1 + sqrt(2736)*-1)**2.\nAnswer: -30*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*15\/(-270)*-18.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/6 - 124*u\/3 - 83\/2.\nAnswer: (u - 249)*(u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 2}. Give prob of sequence wq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3680 and 330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*m + 2*y, -96*m + 16 = -92*m - 4*y. Let u = -1 + 2. Let i be (-13)\/26 - (m - u\/8). Which is the smallest value? (a) i (b) -7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 8. Let v(k) be the third derivative of k**5\/60 - k**4\/12 + k**3\/6 - 11*k**2. Let o be v(2). Sort i, 4, o.\nAnswer: o, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 26 - 22 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15981*d**3 - 1794 + 1794.\nAnswer: -15981*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)\/a)\/a**15 assuming a is positive.\nAnswer: a**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -107*l - 2. Let u(y) = 106*y + 3. What is 3*n(q) + 2*u(q)?\nAnswer: -109*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 2:00 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkxkkrkhhrkhxxrr. What is prob of sequence kh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 164303498 a multiple of 1350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*j = 11442594, 3*v = 5*j - 1456941 - 4264344. What is v rounded to the nearest 10000?\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1001.88545 and 0.3.\nAnswer: 1002.18545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -33. Let p be v\/(-4)*(12 + -18). Let t(i) = -17*i - 10. Does 11 divide t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqeccecqec. Give prob of sequence cc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 2769.\nAnswer: 47073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-16870)\/167013 - 25\/55\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 18 = 3. Let v(m) = 4*m**2 + 6*m - 8. Let g(z) = 5*z**2 + 7*z - 9. Suppose 3*p = 8 + 4. Let y = 2 + p. Calculate t*v(a) + y*g(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 972 - 957 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39997750 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/27)*g**(10\/11)\/g)\/(g\/(g*g\/g**(-5\/4)))**(-1\/3) assuming g is positive.\nAnswer: g**(277\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 3*p**2 - p + 2. What is the remainder when m(-4) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 2\/3, -1.291, 2, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 10*b - 3. Let h be d(-10). List the prime factors of 537\/24 - h\/(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) - (sqrt(20)\/(sqrt(4)*-3) + sqrt(5))) - sqrt(5) - (sqrt(180) + 2)) + ((2*sqrt(2420))\/sqrt(4) + -3)**2.\nAnswer: -415*sqrt(5)\/3 + 2427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 26 - 27)*(-3*b - 3*b + 5*b).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 7, 50, 143, 304?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2 - 1 + 1 - 2 - 1 - 1 + 4 + 4 + 2 - 4 + (-3 - 1 + 2)*(0 - 1 - 1) + 1 - 1 + 1 + 2 - 1 - 5 - 16 - 6 + 8)*(0*m - 2*m - 3*m).\nAnswer: 65*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 34 = -13*n. Suppose -3*o + 10 = 4*i + i, -n*o = -2*i + 20. What is the closest to -1\/4 in -1\/21, i, 3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 >= -46\/108569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -30. Suppose 4*i - p = 2*i. Suppose -3*s - 9 = -57. Calculate the remainder when s is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 151, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 1, d: 2, g: 5}. Give prob of picking 1 a and 2 g.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1263 by 552.\nAnswer: 421\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1911286200 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30928, -31444, -32298, -33484, -34996?\nAnswer: -36828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 42*k**2 + 39*k**2 + 4*k)*(-6*k**2 + 5*k**2 - 4*k**2).\nAnswer: 15*k**4 - 20*k**3 + 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1)**34*(z\/z**1*z)**(2\/119) assuming z is positive.\nAnswer: z**(8094\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (6 - 4) - -38 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 50\/(-125) - (-2)\/5. Let p(h) be the first derivative of 0*h**5 + h**6 + v*h + 0*h**4 - 5\/2*h**2 + 3 + 0*h**3. Find the second derivative of p(f) wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39622664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)\/(1\/1). Let g(k) be the third derivative of 0*k + 0 + 1\/12*k**4 + 1\/6*k**3 - 3*k**2. Calculate g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 10*q**2 - 13*q + 14. Suppose -137*k = -408 + 1504. Give c(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 21*b + 49. Let z be a(23). Suppose 0 = -5*v + 4*r + 15, -z*r + 2 - 20 = 3*v. Let s be 0 + 1*(-1)\/(-24). Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9294450 is divided by 404106.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -46, 1, -4 in decreasing order.\nAnswer: 1, -1, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/4 - 122187\/(-78)?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59450 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8512\/23 - 370. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**6\/240 - u**5\/24 + 7*u**4\/12 - 10*u. Let r(h) be the third derivative of o(h). What is the derivative of r(t) wrt t?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4378, -7119, -8220, -7681, -5502, -1683?\nAnswer: 3776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 4*j + 4*i, 16 = j - 0*j - 3*i. Suppose -5*k = -2*n - j, -9 = 2*k + k. What is the lowest common multiple of 8\/n - (-57)\/5 and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/30*(-90)\/36*-25.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5, 198.\nAnswer: -5, 3, 5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:33 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 + 2353594*r**2 = 0. What is r?\nAnswer: -1176797, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -2*z**3\/3 - 3. Let i(w) = -2*w - 6 + 6. Determine u(i(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -0.5 (b) -1 (c) 1\/3 (d) 1\/3116 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1800003*o + 45. Let f be l(-15). Round f to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -25 (c) -5\/4 (d) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 103*w + 105*w = 17984, -1 = -w. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -23. Suppose -38 = -b - h. What is the greatest common divisor of 126 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/144207 and -76\/1029?\nAnswer: 1009449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 270?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -300*u + 1172*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, 27626?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - -40 - (0 - 4 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -18*y**3 + 6*y**2 + y + 7*y + 4*y**3 + 3*y**3 + 6. Let s(u) = -7*u**3 + 4*u**2 + 5*u + 4. Calculate 5*p(i) - 8*s(i).\nAnswer: i**3 - 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*((-2 + 1 - 1)*(-2*d**2 - 3*d**2 + 6*d**2) + d**2 - 2*d**2 - 3*d**2).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**6\/120 - 27*o**5\/20 + 729*o**4\/8 - 6561*o**3\/2 - 6*o**2 - 2*o. Factor h(w).\nAnswer: (w - 27)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.20422 rounded to one decimal place?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 1, j: 1}. Give prob of sequence hq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (29 - 27) + -235601 + -1. Round x to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 + 22922*t\/9 - 10184\/9 = 0 for t.\nAnswer: 4\/9, 1273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-17094)\/10)\/((312\/(-65))\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7763.062m in kilometers?\nAnswer: 7.763062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/20 - 2257*x**3\/10 + 5898*x. Let p(i) = 0. What is i?\nAnswer: -2257, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a + 2. Let z be g(1). Solve o = -o + z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009942043 to 4 decimal places.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201 + -196. Suppose i = d*g - 1866 - 31, -g + 383 = -2*i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 2. Let r be l(2). Let n(q) = 2*q + 0*q**3 - 3 - 4*q**2 + 4 + q**3. What is n(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3497 - -8326. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/108 + (-95)\/(-38)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/301730 and 85\/2293148.\nAnswer: 11465740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (75\/(-350))\/(6\/7). Let g = 3 - 3.5. Which is the closest to -1? (a) y (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6363751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-10 + 13 + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/350 and -53\/36038050?\nAnswer: 252266350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.34113 to 1 dp.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11 = -2*k, 19 = 4*k + i + 2. Let c = k - 1. Find the second derivative of -c*o**2 - 2*o + 3*o + 0*o**2 wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1210)*-4 - sqrt(1210) - sqrt(10))\/sqrt(5)*-1.\nAnswer: 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -137*f + 2359. Let x be c(17). Solve -x = -22*h + 52*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/(x\/(x\/(x*x\/(x*x**(-6))))))\/(x**(-2)\/x**(-1)) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25415 + -5?\nAnswer: 25410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 1414433?\nAnswer: 1414426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7 + v + 5*v + 0 - 3. Let r be k(-4). What is the units digit of (16\/r)\/1*300\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v)**(-4\/3)\/(((v*(v\/(v\/((v*v**7\/v)\/v)))\/v*v)\/v)\/(v\/(v*v**(-1\/4)*v))) assuming v is positive.\nAnswer: v**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s - 523. Let y(k) = -7*k + 520. Determine -3*n(a) - 2*y(a).\nAnswer: -a + 529","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -4\/3, 2, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -556, -625, -692, -757, -820, -881, -940?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 4 + 2*o**3 + 11 - 2*o + 10 in the form z + u*o**2 + v*o**3 + d*o and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783 is divided by 503?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1648*r**3 + 1723*r**3 - 6687*r**3 + 1656*r**3 + 1657*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33076 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0)\/(-5 - -6). Let a(b) = 2*b - 4. Let t be a(4). Suppose -9 = t*x + 7. Sort x, 1, c.\nAnswer: x, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4541*m - 4550*m + 27. Calculate the smallest common multiple of m and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72569 and 127366.\nAnswer: 6240934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 464 and 412 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*3\/6*66\/(-10). Suppose l*k + 2*k = 175. Solve 5*y = 4*o + 2*y - 15, -o + k = -y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(-3\/7)*f)\/f*f*f\/f**(-2\/19))**(-23))**(-3\/11) assuming f is positive.\nAnswer: f**(33741\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-291)\/(-194))\/((-6)\/(-28))*(-70)\/252*6.\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 14*b. Let c be s(-8). Let h be 16\/c - (-1774)\/6. Suppose 861 + h = 13*k. What is the remainder when k is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 1. Let g(h) = -10*h. Let a(k) = g(k) + 3*v(k). Determine a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/9 - 78596*o\/9 + 1068720 = 0.\nAnswer: -39420, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673385498?\nAnswer: 2, 19, 17720671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (7 + 5) - (-23 - -18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 844.9 - 845. Which is the nearest to -4? (a) u (b) -1\/4 (c) 97 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5942 is divided by 5723?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/24101 and 16\/6573.\nAnswer: 72303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10 - 8 + 2 - 2*k - 3 + 0. Give w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -2 - -1)*(-5 - 497) a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*p + 2*p - 14, -14 = 5*q - 3*p. Let y = 354 + -10265\/29. Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a - 5. Let v(r) = r + 1. What is h(g) + 5*v(g)?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k + 35. Let d be x(-7). Suppose 4*f = d + 330. Suppose 9*z = 291 + f. Which is smaller: 44 or z?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1165.509762 to the nearest ten.\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 6*a**2 + a - 4. Let v be g(6). Suppose 6*c - c = 25, -v*c - 445 = -5*h. What are the prime factors of h?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y. Let g(f) = 2*f**2 - 2*f + 8. Let q be g(0). Let a(r) = 7*r + 4*r - 8*r - q*r. Calculate x(a(o)).\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npphq. What is prob of sequence qh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/467337 and -95\/1222266.\nAnswer: 15889458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 286500 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 29463*c - 265352. Determine y(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -t - 22, -3*r = -3*t + 11 - 29 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 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: What is 210 + (99 - (-14 - -230))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 4999 - 1174 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 21 - 9 = 0. Let q(g) = 8*g**2 - g - 1. Let l be q(-1). Solve l*j - 25 = f*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyytyyyyyyyyyytyyyy?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*s + 18 = -10*s, -5*s - 16 = -4*u. Let i be 35 - 32 - (u - 1). Solve -3 = 5*p + 3*a - 2, -p - 3*a = i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 804.\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33503 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: Is 8109\/18 + 2\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:12 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 + 269. Suppose j - 5 + 1 = 0. What is the highest common divisor of j and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -221 - -5?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five quarters of a decade?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 1 (c) 122315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 2*l**2 - 3*l**2 + (3*l - l - 3*l)*(-l + l - l))*(-6146*l + 6146*l + 340*l**3).\nAnswer: -1020*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8. Suppose b = -h - 6*v + v + 25, -3*h + 37 = -4*v. Suppose -j + 0*j + 42 = 0. What is the remainder when j is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 291.02 - 288. Let h = b - 3.019516. Round h to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/189 + -571\/378. What is the smallest value in v, 5, 5\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*h - 41*h - 68*h + 102 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1593623*k**2 - 243857*k.\nAnswer: -3187246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.008 in 4\/7, -11\/4, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15065*b**3 + 15075*b**3 + 15074*b**3 - 45210*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + sqrt(1008))*-5 - (-2 + sqrt(1008)*-1))**2 + 3 + (1 + (sqrt(1008) - (sqrt(1008) + 1))*-3)**2.\nAnswer: 288*sqrt(7) + 16161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:48 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r. Let v = -21 - -21. Let o(s) be the third derivative of v*s + 0 + 1\/60*s**5 + 0*s**3 + 0*s**4 + 4*s**2. Calculate f(o(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 9*i**2 + 8*i + 4. Let p be o(8). Suppose -4*b + t + p*t = -8, 4*b - 48 = -5*t. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1119601.75 to the nearest ten thousand.\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.45 (b) 5 (c) 1\/3 (d) -2\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times -2?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 3. Let u = -5250.7 - -5578. Let q = -327 + u. What is the closest to q in -0.08, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, -32, 0 in descending order.\nAnswer: 2, 0, -14, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Let p(j) = -j**3 - 6*j**2 - 7*j - 2. Let s be p(-1). Solve s = -2*h - z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 101*a**2 - 46*a - 198. Let f be t(50). Solve f*m - 31 = -29 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 15*m + 28*m)*(-962 + 2019 - 871) as o*m + q and give o.\nAnswer: 2604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33354820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -79*m**3 - m**2 + 2*m - 2. Let f be c(-2). Is (-17)\/(-68) + (-1)\/((-8)\/f) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8742.2 + -79.89453.\nAnswer: 8662.30547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1982081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 5, 3\/62, 0.3, -5 in increasing order.\nAnswer: -5, 3\/62, 0.3, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5241 - 2*j**3 + 141*j + 52*j - 5245 to u*j + w*j**3 + o + p*j**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 305 (b) -5 (c) 3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, p: 1, c: 3, v: 1}. What is prob of picking 1 v and 1 q?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + z**4 + z**4 + (2*z + 0*z - z)*(4*z**3 - 2*z**3 + 0*z**3)*(4 - 1 - 4).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 27 + 13 = 0. What is the lowest common multiple of o and 77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, 5 in decreasing order.\nAnswer: 26, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 26. Calculate the remainder when 12 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 2256\/108 - 10. Sort -4, -1\/2, 5, u.\nAnswer: -4, -1\/2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z\/((z**3*z*z)\/z)*z)\/z)\/(((z*z\/z**(-4))\/z)\/z))\/(z*z**(-1\/5)*z**4\/z))\/((z*z**(-1))**(-19))**0 assuming z is positive.\nAnswer: z**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + ((sqrt(5) - sqrt(15)\/sqrt(3))*-3 - -6*sqrt(15)\/sqrt(3)).\nAnswer: 3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 26*x + 2018. Calculate h(-78).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*s - 3 = 3*s, -2*w - s - 3 = 0. Suppose i - 39 - 14 = w. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**3\/6 + 722*c. Let a(s) = 24*s + 5. Let b(d) = d + 1. Let l(g) = -a(g) + 4*b(g). Calculate q(l(h)).\nAnswer: 20*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d + 12*d - 4*d + 235*d**3 - 3*d**4 - 240*d**2 + 8*d**4.\nAnswer: 5*d**2*(d - 1)*(d + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j - 2. Give c(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 614343036*m**4 + 133041697*m + 1 wrt m.\nAnswer: 7372116432*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 1768550?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17278 is divided by 384.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**4 + 7*x**3 + 7*x**2 + 8. Let h(k) = -7*k**4 - 6*k**3 - 6*k**2 - 7. Let j(n) = 6*f(n) + 7*h(n). Differentiate j(o) wrt o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a - 4*q + 124, -10*q = -21*a + 22*a - 14*q + 84 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 55 + 5 = 0. Let s be (4\/(-2))\/((-4)\/(-6)). Calculate the remainder when (-196)\/(-6) + (-1)\/s is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56670.\nAnswer: 2, 3, 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 924\/(-198) + 22491\/567.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 3.13362.\nAnswer: -15.6681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62239866?\nAnswer: 2, 3, 13, 797947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -w + 90 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -3 (c) 0 (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q. Let n(p) = p**2. Let t(u) = -20*u**2. Let h(g) = -16*n(g) - t(g). Give s(h(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 - (-51 + 38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 374 - 22 = 0. Suppose 106 = 4*u + 2*r, 5*u + 108 = 5*r + 263. Suppose 0 = -u*p + k*p - 7876. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8a (base 16) in base 4?\nAnswer: -232022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**4 + 4 + 9*y**4 + y**3 + y**2 - 5*y**4 in the form n + w*y**3 + t*y + o*y**4 + l*y**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*d. Let l(k) = 11 - k**3 + k**3 - k + k**3 + 9. List the prime factors of l(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521079.\nAnswer: 7, 29, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3523368553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7864?\nAnswer: 5\/7864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 352 = 3*v, 0 = 21*v - 5589*l + 5591*l + 88 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8367270547.660043 + -8367264641. Let u = b + -5906.15. Let g = -0.51 + u. What is g rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7625?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 90\/(-32)*1\/(-3) and 5\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 5*s. Solve -4*f - 3*n = -0*n - 20, s = -2*f + 5*n + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**4\/38 + 78*b**3\/19 + 1680*b**2\/19 + 12928*b\/19 + 4327. Factor t(x).\nAnswer: 2*(x + 8)**2*(x + 101)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*j - 83 = -70, 3*j - 3 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273, -264, -255, -246, -237, -228?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(5) - ((-2 + sqrt(80) - sqrt(80)) + sqrt(80)) - 2*sqrt(405)) + 6*(-3*sqrt(180) + -5))**2 + 5.\nAnswer: 6966*sqrt(5) + 83939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 + 101. Which is greater: 49 or i?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15719582, -15719583, -15719584, -15719585, -15719586?\n\"Answer: -a - 15719581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1409154, -2818357, -4227566, -5636781, -7046002?\n\"Answer: -3*n**2 - 1409194*n + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 2. Suppose 3 - 2 = -z. Let b be z\/4 + 19\/s. Sort 0, 1, b.\nAnswer: b, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*a = 4 + 1, 4*a = o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -20 + 0 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 + -112. Let o(w) = -11 + 2*w + 10*w**2 - 11*w**a + 13. What is o(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -3 (b) -0.4 (c) -0.024854 (d) 0.01 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3906, 11918, 33658, 75990, 145778, 249886, 395178?\n\"Answer: 1144*o**3 + 4*o + 2758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 261 - 173. Let s be (-1)\/(7\/12 + (-66)\/l). Solve 0 + s = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4175, 8348, 12521?\n\"Answer: 4173*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47350?\nAnswer: 2, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14*l**3 + 45*l**2 + 237*l - 18. What is x(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/63, 2, 0.1168 in descending order.\nAnswer: 2, 0.1168, -2\/63, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-5))\/(2\/(-5)). Solve -u - 17 = 4*o, 0 = 2*o + 2*u + g*u + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -121?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293811.\nAnswer: 3, 7, 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewby when four letters picked without replacement from {g: 1, w: 1, y: 1, t: 1, e: 2, b: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 6:41 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120.8606049 milliseconds to weeks.\nAnswer: 0.00000019983565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/(-2))\/(((-10)\/(-32))\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(117)*-4)\/(sqrt(1296)*3).\nAnswer: -4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 7 = 39. Let f(z) = n + 4*z - 4 + 3*z. Let p(g) = 12*g - 5*g - 5*g. Give p(f(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*z**3 - 12*z**2 + 39*z - 18.\nAnswer: -3*(z - 1)*(z + 3)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a = -5*f + 5, 3*a = 3*f + 9. Solve 0 = b + a*p + 6, 6*p - 9 = 2*b + 7*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*sqrt(200))**2*2*3.\nAnswer: 29996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15\/8)*w)\/(w\/(w*w\/(w*w*w**(-17)))*w) assuming w is positive.\nAnswer: w**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 10:50 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.2 (c) -3943 (d) -1 (e) 1 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1853 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 10\/257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 - 6033*w\/4.\nAnswer: 3*w*(w - 2011)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 9, -5*c + 2*c - 4*n = -9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 1\/7 (c) -0.24 (d) 0 (e) -2\/141 (f) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -444, -434, -386, -282, -104, 166?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5025.7 - 5027.7. Let k = 16 + -29. Which is the fourth biggest value? (a) -0.5 (b) 0 (c) i (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*288.8126.\nAnswer: 6065.0646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59885, -59860, -59857, -59888, -59965, -60100?\n\"Answer: -2*f**3 + f**2 + 36*f - 59920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37743950?\nAnswer: 2, 5, 53, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 4 - (-3 + -2). Suppose -2*g + 25 = c*g. Suppose r - 2*w = -g*w + 2, 5*r = 5*w + 10. Solve -v = 5*f - r*v - 11, 0 = f + 2*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -150 (c) -2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/70*400\/150)\/((-126)\/1029)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1795599)\/441870 - 3\/22\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -42. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 10*p**2 + 2*p + 14. What is the tens digit of t(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.83979kg to grams.\nAnswer: 57839.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 2}. What is prob of picking 1 u and 1 i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24530479 is divided by 703?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -223*m**3 - m**2 + m - 1. Let a = -26 - -27. Let r be s(a). Let y = r + 342. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 37, 89, 163, 259?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from azaoakzvoao.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 11*j**5\/60 - j**4\/3 + 17*j**3\/6 + 49*j**2. Does 18 divide h(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u = 1. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3226749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2788.6464 months?\nAnswer: 0.2323872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + (-2 + -14 - -21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 142657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 10*z - 61 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6802 - -27209\/4. Which is the smallest value? (a) y (b) -1 (c) -0.5 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (20 - (-11 + 0 + 6)) - -11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 9*p + 27. Let g be r(-11). Let t be 8\/3 + 2\/(-3). Suppose -27 = -3*b - 3*m, 2*m = 6 + t. Solve 5*o = g + b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k**3 - k**2 + 44*k + 1. Let t(h) = -3*h**3 - 15*h - 1. Let d(i) = 2*n(i) + 7*t(i). What is the tens digit of d(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/6*6\/(-4). Is 4\/3*(-63)\/i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + 5 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3964 divided by -4.\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693114.\nAnswer: 2, 3, 331, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**3 - 3*d**3 + d + 4 - 8)*(-2*d - 6*d - d) to k*d**4 + t*d**3 + l + m*d + b*d**2 and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-1 + 2 + 2 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**9)**(-21)\/(v**19*v)**(-24))**30 assuming v is positive.\nAnswer: v**19440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 4055234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -2\/3077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 1 - ((17 - 15) + (0 - 17) - 8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + -21200020?\nAnswer: -21201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174 - 173. Suppose 4*y = -l + o, 3*l = 5*l - 2. Which is the fourth biggest value? (a) -16 (b) -0.4 (c) y (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 293 + 247. Let j be (-4)\/((-8)\/(-6)) - (2 + -178). Let b = j + i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21240.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5*i - 5*i + 6*i**3 - 3*i**3.\nAnswer: 3*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.65 - -61.35. Let x = 62.39 - c. What is x rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 31\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2*o)\/(o*o**(-4)))**(2\/47) assuming o is positive.\nAnswer: o**(12\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65\/55 + (-10)\/55. Let w be (4\/(-12))\/(0\/2 - d). Put 1\/2, -0.2, w in decreasing order.\nAnswer: 1\/2, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144.022 + 144. Let o = -0.0441 - x. What is o rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -85. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffetbffctetfebeee. Give prob of picking 1 e and 2 t.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -738, -1667, -2968, -4641, -6686?\nAnswer: -9103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 169*y. Let a(s) = 40*s**2 + 4. Give a(r(t)).\nAnswer: 1142440*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.52983 decades to months.\nAnswer: 8823.5796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*j - 5*l + 7, j = 2*l - 4. Let w = 2 + j. Suppose -w = -z + 12. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(4) + sqrt(12)\/(sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2))))\/(-5*((sqrt(363) - sqrt(363)*-2) + sqrt(363)) - sqrt(363))*6.\nAnswer: -4*sqrt(2)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-365)\/(-30) - 12)\/((-1)\/(-4))*29103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**5\/11 + 21992*s**4\/11 + 10798618*s**3\/11 + 35817120*s**2\/11 + 32190728*s\/11 + 7150240\/11 = 0. What is s?\nAnswer: -3082, -580, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 11.62. Let f = -7.52 - -3.9. Let i = f + n. Which is the second biggest value? (a) -0.8 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4278959)\/(-31) + 94\/1457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2) - ((-124)\/16*(22 + -18) + -1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/(((j*j**(4\/7))\/j)\/j))\/(j**(-3)*j**(-6\/5))*(j**(-2\/9)\/(j**(-7\/6)\/j))**37 assuming j is positive.\nAnswer: j**(48493\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -1 + -4)**2 + 0.\nAnswer: -60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009014 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10124 + -50622\/5. Sort 2\/3, 21\/11, 0.5, u in ascending order.\nAnswer: u, 0.5, 2\/3, 21\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(7) + -2)**2.\nAnswer: -4*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-36 - (2 + (-17 - (4 + 0)))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-312)\/2106)\/((-2)\/9). Let w be 45\/(-30) + 6\/2. Which is the second smallest value? (a) -0.4 (b) w (c) -0.2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 11:39 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -720dd8 (base 14) to base 16\nAnswer: -3aa8f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + a + 5, p - 19*a = -18*a. Let s = 0.3 - -3.7. Suppose 0 = -3*f - 2*f + 10. What is the second biggest value in p, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -h - 150 - 312, -4*t + 5*h - 924 = 0. Suppose -g + 258 - 489 = 0. Is g >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -85, -133, -195, -277?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*t**2 - 79*t**2 - 42*t**2 + 51*t**2 to the form s + n*t + m*t**2 and give m.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16\/5 - 246\/55. Is v >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 6*k**2 + 9*k**2 - 22*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/((-21)\/63).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51604 and 11452.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b - 6. Let l be a(3). Suppose -l*z + 5094 = -18*z. Suppose -4*c + 4635 = -m - z, 5*m + 7920 = 5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20547.\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + p + 4*p)*(-4*p + 1 - 2 + 2*p) - 2*p**2 - 3*p**2 - p**2 + (1 + 4 - 4)*(-3*p + 3*p - p**2) - 1616*p + 1616*p + 186*p**2 - 2*p**2 + 0*p**2 + 4*p**2.\nAnswer: 177*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 11:46 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 9*h + 9. Let t be y(-4). Suppose 29 = -t*v - 61. Let c = -11 - v. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240 - 199. Let b(f) = f**2 - 25*f + 261. What is the hundreds digit of b(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 1, h: 2, g: 3, j: 4}. Give prob of sequence gcge.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*c + 6 - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 1. Let x(y) = 2*y - 4. Let n(b) = -2*b**3 + b**2 - 6. Let d be n(0). Calculate d*l(p) - 2*x(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-494)\/78)*-6*28\/(-1800)\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -13 - (-20 - 1)) + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8162, 17120, 26080, 35042, 44006, 52972?\n\"Answer: u**2 + 8955*u - 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 505 and 1212.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h - 36. Let p be y(9). Suppose -x + 1 = -p. Let s = x + -15. Which is greater: s or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 162712 - -5?\nAnswer: 162717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*g + 1 = 0, g + 6 = -2*w - 3*g. Suppose -j = 3*v - 32, 0 = 5*v - w*j + 2*j - 72. What is the smallest common multiple of 14 and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/93600 and 43\/24000?\nAnswer: 936000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*h + 18*h + 7*h**3)*(-192 - 26*h + 192 - 96*h) to the form r + x*h**3 + u*h**2 + c*h**4 + n*h and give c.\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a centimeter in micrometers?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3 + 19 - 5 - 9 - 2*d**2 + 4. Let l(m) = -2*m. What is f(l(k))?\nAnswer: -8*k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 14*p - 98 + 28, -3*o - 33 = -41*p + 38*p for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/9 and 101\/7753845.\nAnswer: 23261535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 44 - 181 = -31*g, 5*j = -22*g + 25*g - 131 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1028, -6.66, 14\/11?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Suppose 4*t - 16 = -z, l = -t + 5*t - 2*z - 16. What is the derivative of 0*a**4 - 3*a**4 + 5*a**t + 3 wrt a?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21712*y**3 + 96*y**2 + 52 wrt y.\nAnswer: -130272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {y: 3, r: 1, o: 1, p: 1, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 2 - (-7 + 8). Let q be 0 - (t - 6\/2). Suppose 2*g = -2*f - 6, q*f + 6 = 3*g + 15. Solve -v - 4*a - 1 = f, 5*v + 5 = -a - 0*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -190603?\nAnswer: -190603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15450102 divided by 1011?\nAnswer: -15282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 199 in increasing order.\nAnswer: -2, 0, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 26*l**2 + 65*l - 3. Determine w(-23).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1406 and 25488?\nAnswer: 17918064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(1 - 3 + 6)*((3 + 0 - 2)*(-3*g - 2*g + 3*g) + 3*g - 3 + 3) to r*g + f and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6402765 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -3, -289 in descending order.\nAnswer: 6, -1, -3, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31207 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90)*5)\/sqrt(9))\/(sqrt(162)*-5 + sqrt(2)) + 5)**2.\nAnswer: -25*sqrt(5)\/22 + 48525\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Suppose -3*g + 12 = -60. Suppose 4*f - 8 = g. Let v(w) = w - 14*w - 18*w - f*w. Calculate s(v(l)).\nAnswer: 3042*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-128)\/20 + (-127)\/(-5). Solve 3*z - 8*z = g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**6\/120 + q**5\/20 - q**4\/24 + 19*q**3\/3 - 43*q**2. What is the second derivative of d(z) wrt z?\nAnswer: 6*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2 - 1, 0 = 4*z - 5*y - 69. Suppose -c - 4 = -4*k, 2*c + 2*k = -c + z. Suppose -2*b - c = -4*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(4 + (-10)\/4)\/3. Suppose 92 = -a + o. Let v = 90 + a. Which is bigger: 11\/9 or v?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 1241, 2721, 4773, 7397, 10593, 14361?\nAnswer: 18701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/11 - 60*d**2\/11 + 8*d\/11 + 240\/11.\nAnswer: -2*(d - 2)*(d + 2)*(d + 30)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 63025395 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8254.999928123 + -8255. What is i rounded to seven dps?\nAnswer: -0.0000719","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4857275085 to the nearest integer?\nAnswer: 69694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.56787 + -108?\nAnswer: 618.56787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.20878m in millimeters?\nAnswer: 39208.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*x\/(x\/(((x\/x**0)\/x)\/x))*x*x*x)**(5\/9))**0)**(-5\/2) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -53. Which is the closest to 2\/3? (a) -1\/6 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhfflhqhkfhlh. Give prob of picking 1 k, 1 l, and 1 h.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000110396 rounded to six decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = -4*f, 0 = -4*p + 4*f - 28. Let g(d) = -d**3 - 3*d**2 + 5*d + 11. Calculate the remainder when g(p) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 131\/(-387) - ((-592)\/72 + 8). Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g + 5*k - 3560, 2375 = 2*g + 3*k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*g, 4*m + 8*g - 22 = 6*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*t + 12*t - 66*t - 34 + 34 in the form v + y*t and give y.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 + 3*f + 786. Let q(r) = -4*r**2 + 4*r + 787. Determine 3*g(a) - 2*q(a).\nAnswer: -a**2 + a + 784","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - 3*s + 2. Let y = 24 - 21. Calculate the lowest common multiple of 8 and f(y).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75130 + -1954619\/26. Let a = f + 95\/2. Suppose -5*x + 0 - 5 = 0. Which is smaller: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3318 = 3*b, -62*b + 64*b = j + 2206. Which is greater: b or 1102?\nAnswer: 1102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*i = -1 + 5, 5*i = 5*u + 20. Suppose 0 = 5*z - 2*z + 6. What are the prime factors of 22\/(1\/(z\/u))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 - -75) + -4 + 82?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9267 + 0.0733. Let h(i) = -i + 21. Let j be h(18). What is the nearest to -2 in j, 2\/23, y?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1456\/57512 + (-4262)\/(-158)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 + 0.140028. Round z to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 787267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -3\/2*h**4 - 3*h**3 + 6*h + 0 + 1\/20*h**5 + 27\/2*h**2. Does 5 divide g(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143*g*y**2 - 101*g wrt y.\nAnswer: -286*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -7\/120*y**6 - 2\/15*y**3 + 1 + 0*y + 1\/6*y**4 - 11\/300*y**5 + 6*y**2. Let m(k) be the second derivative of x(k). Factor m(s).\nAnswer: -(s + 1)*(5*s - 2)*(7*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 0, 2, 2429, 1, -5 in decreasing order.\nAnswer: 2429, 2, 1, 0, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 333489281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 - -75.9. Let d = 16 - 13.8. Let f = 0.2 - d. Which is the smallest value? (a) 3 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -0*r - 3, 3 = j - r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1138917516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-2523614\nAnswer: -1009445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540467598.\nAnswer: 2, 3, 11, 79, 103657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 1\/7, -0.3, 0.04293, 22?\nAnswer: 0.04293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -28. Suppose x + 33 = 3*m, 2*x - p - 21 = -3*m. Is 5 a factor of 1*(-4)\/(m\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**5\/6 + 11*k**4 + 251*k**3\/6 + 31*k**2 = 0.\nAnswer: -62, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/200*((-50)\/(-1225))\/((-8)\/(-28))?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9568 + 109?\nAnswer: 9677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-24)\/(-160))*63\/14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c - 32. Suppose -3*p - c = -4*a, -5*a + 25 = -4*p - 16. Which is greater: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -139873.3 (b) 6 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 b when three letters picked without replacement from rlbbrrrlrlbl.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - 0.01. Let k = 3.93 - -0.07. What is the closest to -1 in k, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -5*a**2 + 1\/30*a**6 + 2\/105*a**7 + 0 + 0*a**5 + 0*a + 0*a**4 + 0*a**3. Suppose b(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350087903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2 - 0) + -2. Let u = -0.3 - 1.7. Which is the second smallest value? (a) u (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = -x - 21*a + 112, -4*a = 8. What is the remainder when x is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11400021 (base 5) to base 14.\nAnswer: -2aa21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -46.\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let t = 10384 + -10381. Let v(f) = 7*f - 2. Give t*j(r) + v(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 32 + 14 - 8 - (-6 - 1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4094*l - 44408 = -678*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 229479513 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2. Let j(x) = -7*x + 4158385. Calculate j(c(a)).\nAnswer: -7*a**2 + 4158385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -32014?\nAnswer: -32005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 19?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-16 + 15)) + 1 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957389 is divided by 7253.\nAnswer: 7246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.96 + 1.04. Let v = -44 + 46. Let f = v + -1. What is the closest to 0 in -4, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*(-11*x**2 - 65 + 65)*(x - 16*x**3 + 9188*x**2 - 9188*x**2).\nAnswer: -528*x**5 + 33*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1905 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6519775?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n + 2. Let x(q) = 13*q + 4. Let b be 249\/27 - (-4)\/72*-4. Give b*y(d) - 4*x(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 11:19 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.6 + -79.6. What is the closest to -1 in -0.138, -0.2, v, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208 (base 12) to base 6.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)*z\/z**(-5)*(z*(z\/((z**6\/z)\/z))\/z)\/(z\/(z\/z**(2\/29))) assuming z is positive.\nAnswer: z**(-118\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*d + 78, 0*d - 2*d + 42 = 3*v. Suppose 4*f - 5 = -z - d, -z + 2*f + 5 = 0. Calculate the common denominator of -24\/5 and (85\/165)\/(z\/3).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.527 + 15.65. Let p = u - -0.59. What is p rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p + 219 + 150 = 0. Let j be (-2)\/(-2) + -4 + 3. Solve j = 2*q + 1 + p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(5082)*1)\/(sqrt(100)\/sqrt(2)))\/((sqrt(21)*-3 + sqrt(21))\/sqrt(3) + 1*sqrt(112)).\nAnswer: -1 + 11*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.277 - 0.023. Which is the third smallest value? (a) -4 (b) 2 (c) 6 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 278, 2, -3, -4, -11, 4 in decreasing order.\nAnswer: 278, 4, 2, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4\/5 (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/7784 and -57\/173194?\nAnswer: 692776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 + 330. Calculate the greatest common divisor of 78 and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -161*p**3*x + p*x - 8*x + 1 wrt p.\nAnswer: -483*p**2*x + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11977757*1.6.\nAnswer: 19164411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 8*h**2 - 30. What are the prime factors of f(12)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:44 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-516)\/860)\/((2\/60)\/(-1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/(13\/(-9)) + 4133.\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 6, 31, 86, 183, 334?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/2 + 84*j**3 - 1569*j**2\/2 + 2116*j - 1416.\nAnswer: (j - 4)**2*(j - 1)*(j + 177)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 8*u + 10. Let j(i) = -i**2 - 4*i + 2. Let d(g) = -4*j(g) + t(g). Let o(s) = -8*s**2 - 24*s - 6. Calculate 14*d(l) + 5*o(l).\nAnswer: 2*l**2 - 8*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -694.9 + 695. Let f be 1 - (5199\/(-42) - (-12)\/8). Let y = 123 - f. Which is the nearest to y? (a) 2\/13 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 10, -2*t - 4*f = -0*f - 224. Suppose -3*h + h = -370. Let y = h - t. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*g**4 - g**3 - 7*g**2 - 125*g - 19.\nAnswer: -1092*g**2 - 6*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6270, 6153, 6084, 6063, 6090?\n\"Answer: 24*x**2 - 189*x + 6435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -13476*(-7)\/(-4 + 25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19485300 by 1.\nAnswer: 19485300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/(c**(3\/8)*c))\/(c\/(c\/c**(-2\/3)))**(-13) assuming c is positive.\nAnswer: c**(-361\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**3\/3 - 7*n**2\/2 + 3*n - 18. Let k be c(-7). Solve -k*s = -2*g + 3, -1 + 0 = s - 3*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 932537017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204*o**2 + 101*o - 13 + 52*o**2 + 199*o - 201*o**2 + 1 wrt o.\nAnswer: -706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*(sqrt(1377) - (sqrt(1377) - (-2 + sqrt(1377))))*4 + (3 + -2*sqrt(1377))*-3))**2.\nAnswer: -900*sqrt(17) + 137725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 18. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 - -190. Let w = 11 + f. Let a = -77 + w. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 73. Suppose m = -4*s - 0 + 1376. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 1 x when three letters picked without replacement from {m: 1, x: 1, h: 1, f: 1, r: 2, j: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 83*s**2 + 3*s - 9. Let j(l) = -7*l. Give j(b(k)).\nAnswer: -581*k**2 - 21*k + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72767867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-25) + (-34)\/(-10). Let x(c) = -2*c + 7. Let u(i) = 2*i - 6. Let f(n) = -6*u(n) - 5*x(n). Determine f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 1 - 3 + 0.\nAnswer: j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22131*o**4 + 2*o**2 - 406887*o wrt o.\nAnswer: 265572*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**6\/180 - s**5\/15 + s**4 + 16*s**3\/3 + 31*s. Let x(f) be the second derivative of y(f). Solve x(h) = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 2, z: 3, a: 1, d: 3, j: 3}. Give prob of sequence zl.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, m: 3, g: 4, h: 1, d: 2}. What is prob of sequence udu?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -61. Which is the smallest value? (a) 2 (b) w (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**2*x)\/x)\/x)\/((x*x**2)\/x) assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -47\/2, 41, 2\/5, 4, -0.25, -2\/7 in ascending order.\nAnswer: -47\/2, -2\/7, -0.25, 2\/5, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 11*s**2 + 169. Let b(x) = -13*x**2. Determine b(h(i)).\nAnswer: -6292*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 13, p: 5}. What is prob of sequence lll?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(1*5\/(-10)). Let h be 18\/(-14) + i\/77. Let m = h + 6. Solve -2*c - m*o + 28 = 10, 0 = -c + 3*o - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61254 (base 8) to base 11\nAnswer: -17a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, p: 4}. Give prob of sequence fffp.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 40*r + 387. Determine k(-17).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 950 = -899 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10891216387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 4:41 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 14*l + 449. Let n be -44 + 18 + -4 + 3\/((-6)\/4). What is a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5))**(-34)*v\/((v*v*v*v**(-1\/5))\/v)*v**(-1\/2) assuming v is positive.\nAnswer: v**(123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 147*g + 1028. List the prime factors of i(12).\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443\/(6*(-17)\/(-1020))?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2645*p**3 - 12 + 12 - 12*p + 12*p.\nAnswer: -2645*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 4) to base 2.\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -127, -3, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdbxddddbdbdugd. What is prob of sequence bu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023933 rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 23. Let z(h) be the second derivative of 0*h**2 + 2*h + 1\/24*h**3 + 1\/48*h**4 + d. Find c such that z(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224006977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u + 3*v = 40*u + 35769, -3*v - 35805 = -3*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*x + 86 = 0, 0 = -3*x - 6 + 18. Let b = -44 + 112. Calculate the remainder when b is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -971 - -128. Let l = 842 + w. What is the nearest to -2\/15 in l, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = n - 348 + 350, 5*l = n - 28 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28847 is divided by 406?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 31*a**2 + 13*a - 13. Let v(u) = -8*u**2 - 3*u + 3. Let n(f) = 6*t(f) + 26*v(f). Let o(s) = 2*s. Give n(o(b)).\nAnswer: -88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 2:56 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1599*i - 10916 = -669*i + 4960 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24.2 times 0.1040452\nAnswer: -2.51789384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 1}. What is prob of picking 1 u and 1 k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**2 + 29*h**2 - 2*h - 2 + 3*h - 13*h**2 to x*h + r*h**2 + w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**5\/4 - 3*d**3\/2 + 3*d\/4.\nAnswer: 3*d*(d - 1)**2*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60942, -60947, -60956, -60969, -60986, -61007, -61032?\n\"Answer: -2*u**2 + u - 60941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 72 = -27*t. Let m(v) = v**4 + v**3 + 2*v. Let x(o) = 37*o**3 - 84*o**2 + 75*o - 12. Let k(f) = t*x(f) + 12*m(f). Find p, given that k(p) = 0.\nAnswer: 1\/4, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 8:28 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -18*b - 275. Let v be u(-15). Put v, 2, -0.3, -0.03 in descending order.\nAnswer: 2, -0.03, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 13*j + 6 = 11*j - 32*j + 3*l, 0 = -j - 2*l + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.021551 and -0.5.\nAnswer: -0.0107755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -414*y**2. Let r(m) = -m. Give p(r(f)).\nAnswer: -414*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2672731203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3394077 + -5292077. Round c to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-9)*2*-9. Suppose -f + 5*c + 12 = -5, 0 = 3*f + c + 13. Let l be ((-1)\/2)\/(f\/288). Calculate the greatest common divisor of l and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8774528 by 8774528.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -28 + 68. What is the third derivative of 2*s**6 + j*s**4 - 2*s**4 + 33*s**2 + 31*s**2 - 9*s**2 wrt s?\nAnswer: 240*s**3 + 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8\/90*(-2)\/((-6)\/15)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2933a4b3 - -3?\nAnswer: 2933a4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9746206 or 9746222?\nAnswer: 9746222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6900 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -26 - 2. Let r(z) = z**2 + 3. Let m be r(5). Let d be 82\/j + 8\/m. Solve -5*l = d + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297838*-960.\nAnswer: 285924480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + t**2 + t. Let l be x(-1). Suppose 5*o + l*p = 415000, -4*p - 8020 = -3*o + 240980. Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 3*x**2 + 2. Let n be r(-3). Let h = -2 - n. Let d be (2\/(-6))\/((-32)\/24). Which is the nearest to 0.1? (a) d (b) h (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049736340 to the power of 1\/3, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1330834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-214 + 55 + 32)*(-1 + 4*i + 1) + (3 - 1 - 3)*(0 + 0 - 1)*(3*i + 2*i + 0*i).\nAnswer: 513*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76179\/182 - -2930\/7. Find the common denominator of 5\/117 and h.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 26 = -58. Let y be (-2898)\/24 - 1\/4. Let z = y + 125. What is the greatest common factor of z and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.326981 rounded to two decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 - (-40 + -2) - 280?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 14 + r)*(18 - 15*r**2 - 18).\nAnswer: -15*r**3 - 135*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - 1)\/(-3) + -11. Let h be (b + 1)*3\/(-12). Let u be (h\/(-2))\/((-36)\/2400). Round u to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 6:17 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*b + 5*b - 13*b - 2*b as k*b + m and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, -0.2, -78, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -1 (b) 1\/3 (c) -0.2 (d) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/10)\/((-30)\/(-80)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 141 = -6*a. Suppose w - 89 = -2*o, -o + 344 = 4*w - a. Let d(u) = -91 + u - w + 189. Give d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**2 + 0*c**2 - 51*c**2.\nAnswer: -37*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166258542?\nAnswer: 2, 3, 137, 223, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380582, -761217, -1141852, -1522487, -1903122, -2283757?\nAnswer: -2664392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2. Let y(b) be the third derivative of -5 + 0*b + 3*b**2 + 0*b**3 + 133\/24*b**4. Determine s(y(v)).\nAnswer: -53067*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2\/j**16 assuming j is positive.\nAnswer: j**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -40 times -44.2\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074.193816 rounded to 1 decimal place?\nAnswer: 2074.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 - 16*l + 6. Calculate the least common multiple of (-2)\/(-8)*5*4 and b(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -141*o + 148*o - 28. Solve m + 5*t = 2, -2*t + o*t - 14 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-48) + -1)\/(62\/(-248))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1065 * 4.\nAnswer: 0.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*f - 3012 = -168*f - 826*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/6027 and -64\/189.\nAnswer: 54243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, 1.5, 0.3, 2\/7, 4 in increasing order.\nAnswer: -1.8, 2\/7, 0.3, 1.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1088*g = -1048*g - 880. Solve -g*m - 27 + 49 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13976645 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**4)\/(h\/h**(-20)))**(-2) assuming h is positive.\nAnswer: h**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 240 - 240. Suppose u = 7*a + 12 - 26. Solve 0 = -10*w + a*w + 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70411*g**2*y**2 - 1143644*g**2 - 7*g*y**4 with respect to y.\nAnswer: -140822*g**2*y - 28*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4596557 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 5984?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 4464 + 5446. Round z to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12226811.\nAnswer: 12226811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4246326, 4246249, 4246120, 4245939, 4245706, 4245421, 4245084?\n\"Answer: -26*o**2 + o + 4246351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (-6*(-2)\/12)\/(3\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 6. Let j(l) = -l**3 - l**2 + 5*l + 3. Let o be j(u). Suppose -2*n = 5*s - o, -s + 4*s = -5*n + 43. What is the remainder when 46 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 538*n**2 - 18*n - 5074981 wrt n.\nAnswer: 1076*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-40) + (-2107)\/490.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.44 + 0.31411932?\nAnswer: 15.75411932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 2, x: 1}. Give prob of sequence nx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*z - 20 = 0, 4*b + 5*z + 31 - 2 = 0. Let m(s) = 0 - 7*s**2 - 9 + 4*s**3 + 4*s - 11*s - 5*s**3. Calculate m(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 3\/2*i**2 + 5 + 1\/3*i**3 + 2*i. Let q be g(-3). Sort q, -1, -4 in ascending order.\nAnswer: -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 13) to base 14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (39690\/(-81648))\/(7\/(-6))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(51) - sqrt(102)\/sqrt(2)))\/(-2*sqrt(27) + sqrt(3)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Let v(i) = 4*i**2 + i + 1. Determine v(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 212*d + 4467. Calculate l(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*i + 2, 0 = 3*n + 5*i - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -11. Which is the third smallest value? (a) 1\/6 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 - -4) + 65\/(-20))*4. Find the third derivative of -82*t**3 - 5*t**x - 4*t**2 - 3*t + 7*t**3 wrt t.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -639, -2595, -5871, -10473, -16407, -23679, -32295?\n\"Answer: -n**3 - 654*n**2 + 13*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1166*h. Let l(q) = -11998*q**2 + 12. Calculate a(l(y)).\nAnswer: -13989668*y**2 + 13992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 9*a - 35. Give x(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -4363651?\nAnswer: 4363651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzgpgzzrpgzcccpzgz. What is prob of sequence rzp?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -20 - -10 - (0 + 1). Let g = m - -9. Let f be g\/12 + 200\/48. Solve 0 = -f*a + 5*a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*j + 4*w - 74, 8 = 2*w. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 59*i + 2. Let a(j) = 21 - 78 + 19 - 2774*j - 57. Let u(x) = -2*a(x) - 95*k(x). Let m(b) be the first derivative of 2*b**3\/3 + 18. Give m(u(l)).\nAnswer: 6498*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57279221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**2 + 4*b + 3. Let p be h(-2). Suppose -p = -7*v + 2*v. Calculate the highest common factor of 28 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(4) + (sqrt(4)*-2 - sqrt(4))))\/(sqrt(7) + sqrt(49)\/sqrt(28)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-7 + (-5 - -12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2791 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/64 and 15\/6512.\nAnswer: 26048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 21, 24, 27, 30?\n\"Answer: 3*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*d + 2132*d + 1408*d + 144228 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3101956 is divided by 81626?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) -1\/2 (b) 1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Find the third derivative of 0*k**2 - k**2 + 0*k**3 + r*k**2 + k**3 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -88*u**2 - 97*u + 149. Find the first derivative of t(s) wrt s.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yytyyytytyyyqttqt. Give prob of picking 1 q and 1 y.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533560.\nAnswer: 2, 5, 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - s + 2 = 0, -2*j - 2 = s - 4. Suppose 17*l + 9*l - 52 = j. Solve l*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 - 1710*r - 100683. Give n(-357).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b**2 + 3*b + 5. Give k(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 - 2*w + 2*w. Let r(o) = 2 + 2*o**2 - 3 + 1. Calculate l(r(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(217\/2604)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/12 + d**3\/6 + d. Let w(k) be the second derivative of -k**4\/2 + 2*k**3 + k**2 + 2*k + 7276. What is 12*l(g) - w(g)?\nAnswer: -6*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 1. Let s be r(1). What is the third derivative of s*j**2 - j**2 + 5*j**6 + 3*j**2 wrt j?\nAnswer: 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.57606cm to micrometers.\nAnswer: 455760.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-1562)\/(-66) - -1*1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -916.31126 to 0 decimal places.\nAnswer: -916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (27\/12)\/((-98)\/392)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (-372)\/(-52) - (-1460)\/26 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from bbbbbbwb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -60*c + 3606. Give r(39).\nAnswer: 1266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.4, 0, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + w + 35 = 0, -w = 2*r - 2*w + 13. Let y = r - -14. What is the lowest common multiple of y and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**2. Suppose 44 = x - 4*t + 6*t, 0 = -x + t + 35. Let k be 42 + 16\/(-6 + 2). Let j(s) = x - s - k. Determine j(a(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b - 2 + 0*b)*(2 - 2 + 1)*(-10 + 5 + 12).\nAnswer: 7*b - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 197, 274, 333, 368, 373, 342, 269?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10957192 divided by -229\nAnswer: 47848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110101 + 10111?\nAnswer: 1001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -1\/54*h**4 - 1\/270*h**5 + 1\/540*h**6 + 0*h**3 + 0 - 2*h**2 + 0*h. Solve y(i) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - g**2 - g**2. Suppose 0*y - 2*y + 4 = -3*a, y - 2 = -2*a. Let b(j) = a*j + 3*j + 0*j + j. Determine b(r(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 2*p + 0*p + (1 - 1 + 1)*(-27*p + 42*p + 50*p) + (0 + 0 + p)*(-2 + 5 - 2) as h + a*p and give a.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (sqrt(78) - (sqrt(78)*3 - sqrt(78))*-4))\/sqrt(6).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1846961 or 1846963?\nAnswer: 1846963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 636983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 112. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 16*q - 16. Let s(f) = 18*f - 31. Calculate -4*s(m) + 7*v(m).\nAnswer: 40*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -827 + 324. Which is the biggest value? (a) -1 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 17. Let w be l(14). Suppose -w*m + 40 + 47 = 0. Let z = m - 21. What is the greatest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 a factor of 1705305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -19 + (3 - -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.303 + 16.003. What is the closest to -0.1 in o, -26, 3\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/28743 and 17\/264.\nAnswer: 229944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**3 + o**3 + 2*o**3)*(636 - 321 - 313 - 48*o) as l*o**3 + a*o**4 + t*o + i*o**2 + w and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 81\/3 - (-1 + 129\/(-15))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00436225729 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4675*s + 50. Let c(g) = g**3 + 22*g**2 - 22*g + 5. Let o be c(-23). Let t be n(o). What is t rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diirxkx. Give prob of picking 1 i and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -10 - (41 - (-27 + 49) - 20) - 35.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in -6, 2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gssjjswjgj. Give prob of sequence sjj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 2*q + 2*q)*(-57*q**4 - 231*q**2 + 231*q**2) + 2*q - 2*q + 2*q**5.\nAnswer: -511*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -26 - (-59 + 1 + -7 + 17)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.913 + 0.813. Let r = 8 - 15\/2. What is the closest to q in r, -2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2551 - 434?\nAnswer: -3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104586600?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*a + 18 = 0, 4*g - 22 = -0*a + 2*a. Let q = -935 - -937. What is the smallest common multiple of g and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1895107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 11*r**2 - 11*r + 6. Let p be u(10). Let k be -1 - 10\/p*2. What is the tens digit of 94\/k - (-6)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 5*m = 14*m + 32. Is -190\/281 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 31d57?\nAnswer: 31d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 + 3*q**3 + 2*q**3)*(0 - 2 + 8).\nAnswer: 54*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464796 is divided by 4602.\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 930758.7 millennia in years?\nAnswer: 930758700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9268794 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3957*v**4 - 116*v**2 + 367537845 wrt v.\nAnswer: 15828*v**3 - 232*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2 - 2*i)*((9 + 5 - 1)*(2*i - i - 2*i) + 0*i + i - 3*i + i - 17*i + 10*i).\nAnswer: 42*i**2 + 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -102\/1235?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/5, -0.9, -2\/9, 24.7 in decreasing order.\nAnswer: 24.7, 3, 3\/5, -2\/9, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) + (-34)\/(-72). Suppose 0 = 3*h - f + 4*f + 9, -h - 4*f = 12. Factor -2\/3*b**3 - 2\/9*b - 2\/3*b**2 - g*b**4 + h.\nAnswer: -2*b*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*-2*sqrt(77))\/((sqrt(7) - (sqrt(847)*-3 + sqrt(847)))*6).\nAnswer: sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1404.9 + -1405. Let i = -40 - -40.07. Put -1, i, 0, o in decreasing order.\nAnswer: i, 0, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12 = 4*o, 0*o - 40 = -5*r - 4*o. Suppose 3*d = -r*v + 5*v + 3, -5*v = 2*d + 15. Suppose 5*c - 24 - 1 = 0. Sort c, v, -1 in descending order.\nAnswer: c, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 + 1011?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 56\/42 - (-5 - (-20)\/15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5296 - 2*i - 731*i**2 - 5000 - 309*i**2 wrt i?\nAnswer: -2080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119\/99 or 6\/7?\nAnswer: -119\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 1, m: 1}. Give prob of sequence vm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14004664 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 9 = 5*m + 13, d + 1 = -2*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596925 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1.498\nAnswer: 0.1498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmallame. What is prob of sequence lemm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/1)\/(12\/78). Suppose x - 5*n = -d, 6*n - 4 = x + 4*n. Solve -x*a + 4 - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1677 - 15058\/9. What is the common denominator of (157\/147)\/((-90)\/(-105)) and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - -12. Let d = -13 + w. Let q be 6\/27 - (-32)\/d. Let i(r) = 2*r**2 - r - 1. Give i(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 16 = 4*v - x, -24 = 5*v - 3*x. Let q be (-4)\/v - 32\/48. Factor -4\/3*n**4 + 1\/3*n**5 - 4\/3*n**2 + 2*n**3 + 1\/3*n + q.\nAnswer: n*(n - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 3 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*m + 600, 0*z + m = -z - 113. Let s = 50496\/7 - 7332. Let o = z - s. Are -2\/23 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1816, -0.5, -0.4, 169 in descending order.\nAnswer: 1816, 169, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 6*q + 40. Let j = 158 - 146. What is the tens digit of w(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2542203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**2 + 198*x - 646. Give p(30).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 6*a + 4. Let b be z(-4). Does 3 divide (-2)\/4 - 6*19\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 4:17 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-5)\/378) + (3 - 2). Suppose 4*u - 3*m - n = -u, -10 = -5*m. Let v = u + -16. List the prime factors of v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*f - 1885 - 655, -2*u - f = -1278. Let c = 742 - u. What is the remainder when c is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1332387, 2664781, 3997173, 5329563, 6661951?\nAnswer: 7994337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231057190.\nAnswer: 2, 5, 7, 13, 253909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*c - 2. Solve -6*u + c*u = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:00 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/4095 and -3\/134680?\nAnswer: 1212120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**3 + o - o + 3 - 1 as v*o + k*o**3 + q + t*o**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1182 and 836205112.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 + 381 = 12*v. Suppose 4*s = 11 + 17. Let c be 163\/s - (v\/21 - 2). Calculate the greatest common factor of 46 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/6 + 9815*o**4\/6 - 385537*o**3\/3 + 2868262*o**2\/3 - 7003684*o\/3 + 5540080\/3 = 0.\nAnswer: -9893, 2, 4, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164582918 = -564*b + 75267670. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6 - 36\/(-8). Suppose 5*s + 5*d = 45, 2*s = -0*d + o*d - 10. Let z be ((-9)\/s)\/(7\/(-105)). Calculate the highest common divisor of 27 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from baebaabe?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Suppose 0 = -c - 4*c - g + 53, -20 = -2*c - g. Suppose -13 - 12 = -5*t. Solve -c = t*f + u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -5, 1, -14, -0.007, 0.05?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*u = -9, 0*g + 5*u = -3*g - 18. Let y be g\/(3\/(-28) + 11\/(-77)). Suppose -y*h - 6*h + 50 = 0. Solve d + 20 = h*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -237 or 36\/107?\nAnswer: 36\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 549856 by -137464.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**4\/12 - m**3\/6 + 3*m**2 - 11*m + 5. Suppose 1 = -t - 2*i - 3, 8 = -2*t - 5*i. Give d(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = 3*z. Suppose 6 = 3*y - z*i - i, 0 = -2*i. Suppose 2*l = -y*l. Solve -q - q = l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4\/5 + 137*y**3\/5 + 1522*y**2\/5 - 1540*y + 8232\/5 = 0.\nAnswer: -14, 2, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 3*g**3 + 2*g**5 + (g + 0*g + g)*(173 - 379 + 168)*(0*g**4 - 3*g**4 + 2*g**4).\nAnswer: 78*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5 + 2*g - 4 - g + 0*g + 3*g + (5 - 1 - 2)*(g + 3*g - 2*g) + g - 2*g + 2*g + g + 2*g - g to k*g + o and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22792*n*v - 4*n - 191461*v wrt n?\nAnswer: 22792*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401729217 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 7*t**2 - 6*t + 5. Let n(o) = o**2 - 6*o + 3. Let i = 22 - 11. Suppose i = -l + 14. Let z be n(l). What is q(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7294 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(15) + sqrt(135))*6)\/(sqrt(605)*1 - sqrt(15)\/sqrt(3)*2).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -11) + -2 - (1 + -15).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 10*g**2 + g - 14. Let r(l) = -l**3 - 13*l**2 - 34*l - 30. Let i be r(-10). Give p(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times -18.31?\nAnswer: 402.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 g, 1 j, and 1 l when four letters picked without replacement from cljgrgy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-1)*1\/2. Let i be -3 - (-3 - 6\/9). Which is bigger: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927571039 is divided by 1412.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32021220113 - 10?\nAnswer: 32021220103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -368 + -148. Let v = -493.55 - z. Let s = v + -23. Round s to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, 1\/5, -0.6, 0.204 in ascending order.\nAnswer: -5, -0.6, 1\/5, 0.204, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11cb + 684?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 47. What is x(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*p + 5*k, -5*p + 2*k + 15 = 43. Let j be (27 - 30)*(-4)\/(-6). Sort j, p, -5, 54 in ascending order.\nAnswer: -5, p, j, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12652 less than -71236?\nAnswer: -83888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 343978, 343979, 343980?\n\"Answer: b + 343977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -112*f**2 + 4*f - 2. What is x(1)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 1138592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 276\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, 1 j, and 1 l when four letters picked without replacement from {l: 3, t: 3, z: 5, j: 2}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q - 4 - q - 3*q + q**3 - q + 4*q**2. Calculate m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16795 + 11969. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 9:53 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Let t = y - 2.1. Round t to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36832602 is divided by 31945.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 12*i**2 + i + 12. Let r be v(-12). Let d be r - (-9)\/6*12\/9. Suppose -p - 3*x + 17 = 0, -d*p + 48 = -2*x - 10. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 126\/30 - 32\/(-40). Solve y = 2*a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230\/(-92)*(-2 + 12\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1997568)\/(-162) + 1\/3.\nAnswer: 11, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 22*k**2 - 12*k - 10. Suppose 2*o + 3*o - 30 = 0. Suppose -3*y + o = -6. Let c(p) = 9*p + 2 - y*p - 9*p**2 + 2. Calculate -12*c(x) - 5*g(x).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 3. Let g be 2*4\/8 + (4 - 8). Let a(u) = -u + 1. What is g*a(d) + y(d)?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*y**4 - 121087*y**3 + 2595100*y**2.\nAnswer: 216*y - 726522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -1181 (c) 2\/9 (d) 39 (e) -0.08 (f) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 742 - 741. What is the third biggest value in -0.1, -5, 5, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(84))\/sqrt(12) + 3 - (-3*sqrt(1008))**2)*1.\nAnswer: -9069 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = 2. Let s be 3\/2 - 94\/u. Suppose 0 = -5*z + 150 - s. Solve 4*q - 2*d + 2 = 0, -2*d - z = 3*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015949 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 9*v**2 + 11*v + 6. Let n be y(-10). Let p be (6\/n)\/((-6)\/20). What is the third biggest value in 0, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 2*t**3\/3 + 6*t**2 - 26*t. What are the prime factors of k(14)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372293 is divided by 173?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 509 + -489. Suppose 0*k = -4*i + k + 159, -4*k + a = 0. What is the remainder when 76 is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 3:33 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -50d5 (base 16) to base 5\nAnswer: -1130233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 450 - 2612?\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - -20014304?\nAnswer: 20014342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911530730?\nAnswer: 2, 5, 11, 1523, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -11*a - 59*a + 6*a - 52*a - 81. Does 43 divide u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 777 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8175396 (base 11) to base 9\nAnswer: 30153243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45296 and 161576.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + (-14)\/(-4). Suppose 0 = -0*v + 3*v - 5*q - 8, 2*v + q - 1 = 0. Put u, v, 4 in descending order.\nAnswer: 4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6196 + -6171. What is the remainder when 469 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**7\/1680 + f**6\/40 - 113*f**5\/480 + 15*f**4\/32 - 2*f**2 + 2936*f. Let q(g) = 0. What is g?\nAnswer: 0, 1, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295837 is divided by 888?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 22584*r**3 - 46*r**2 - 22587*r**3 - 30 - 16*r. Calculate i(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130312 + 241?\nAnswer: 131103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-126))\/(-19 + (-338)\/(-18)). Let h = -3 - -2. Which is greater: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*c)*(3*c - 4 - 1 - c).\nAnswer: 4*c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + a**3 + a**3 + (-8 + 8 - a)*(-6 - 2*a**2 + 6))*(2*a - 1 + 1).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3 - 370*v**2 + 9049*v - 36120 = 0?\nAnswer: 5, 21, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(4)*-1) + sqrt(34)\/(sqrt(2) - 3*sqrt(2)) - -2*(-5 + sqrt(1377) - sqrt(1377)))**2.\nAnswer: 30*sqrt(17) + 553\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186776046 to the nearest integer?\nAnswer: 13667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k)**(-2\/33)\/(k\/(k**0\/k)*k**(-3)))**(2\/3) assuming k is positive.\nAnswer: k**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-9) + (-4)\/(-6). Let u(b) = -6*b**3 + 4*b**2 - 6*b + 3. Let o be u(1). Put d, -4, o, 3 in decreasing order.\nAnswer: 3, d, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101234104 (base 5) in base 15?\nAnswer: -82e04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 8*s - 7. Let h be i(-6). Suppose 4*m - 79 = -5*c, 4*m = h*c + 23 - 94. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/1161*-5*(4\/2)\/(-20)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608 = -2*r - 3*b, 27*r + 1194 = 31*r - 5*b. List the prime factors of r.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 * -28\nAnswer: -92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*c**2 - 134*c**2 - 16*c**2 + 14*c**2 to the form i*c**2 + r*c + l and give i.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 5, 39, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/sqrt(2))\/sqrt(7)*-3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 68010278?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -30 - m + 9*m - 5*m + 8*m - m**2. Let r be p(4). What is the hundreds digit of (-1524)\/(-9) + 3 + r\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 12, 2*z + 5*o - 10 = -25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-7)\/(-98)*21\/(-8).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, s: 2, m: 2, l: 6, y: 5}. Give prob of picking 1 l, 1 e, and 2 y.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 (base 12) in base 3?\nAnswer: 121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3.83. Let t = -2.54696 - -2.376. Let l = t - s. What is l rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5681947056?\nAnswer: 2, 3, 118373897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 161469981 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -403*t - 82607. Calculate x(-205).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/5))**(-33)*(b**1)**24)**(11\/6))**(-15) assuming b is positive.\nAnswer: b**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4196917.\nAnswer: 4196917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(6\/11)\/j)*j*(j\/(j\/j**(-18\/5))*j)\/j)**(-16\/5))**(6\/5) assuming j is positive.\nAnswer: j**(768\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqzgxxxqxqq. What is prob of picking 1 g and 2 q?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/6 + 102\/(-4). Let g(l) = 2*l**2 + 2*l - 3. Let d be g(-5). Let u = d + s. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1337169 to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -f - 4*f. What is the units digit of (-3)\/(-6) + f\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 + 360*z**3 + 740*z**2.\nAnswer: -5*z**2*(z - 74)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2. Suppose -7*r = -9*r + 18. Let q(y) = -2*y + 22. Let x be q(r). Let i(u) = x*u + u + 2*u. Give i(w(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4839 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63922.\nAnswer: 2, 31, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*p = 6*p - 16*p + 23075 for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 + 14*j**2 + 20*j - 17. Calculate l(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1134 - 64*h**5 + 1134 + (-7*h + 7*h - 5*h**4)*(-3 + 3 + 2*h).\nAnswer: -74*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1909 and 1328.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**4 + 5*w**3 - 46*w**2 - 53*w - 15. Let v(x) = -5*x**4 + 19*x**3 - 185*x**2 - 213*x - 59. Let d(b) = 22*i(b) - 6*v(b). Solve d(z) = 0.\nAnswer: -2, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x + 2. Suppose -35*b + 22*b + 39 = 0. Suppose 36*k - b*k - 99 = 0. Give p(k).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*o = 37*o + 28. Solve -3*z = l + 9, -26*l = o*z - 31*l - 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppq when three letters picked without replacement from ppqqqqpqqqppq?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 9, l: 3, c: 1, n: 2}. Give prob of picking 1 c and 2 e.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -1\/12*l**4 + 0*l**3 + 0 - 5*l + 1\/2*l**2. Let g(x) = -4*x**2 + x + 3. Calculate g(d) - 6*i(d).\nAnswer: 2*d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328562*r - 2*r**2 - 329209*r - 19*r**2 + 657771*r.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30047 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -90, -103, -118, -135, -154, -175?\n\"Answer: -j**2 - 10*j - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2617*y + 20162. Calculate z(-8).\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/22 + -213\/11. What is the common denominator of -51\/130 and t?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggtggttttgttggggtg. What is prob of picking 2 t?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14590 - -174935\/12. Calculate the common denominator of 85\/6 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -27, -57, -99, -153, -219, -297?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 461*m**2 + 21207*m + 51. What is v(-46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 10:10 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23101103 (base 4) in base 5?\nAnswer: -2434123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*i = -78, 3*z - i = 2*i - 48. Let n(s) = -41*s - 10. Is n(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 88 = 2*a. Suppose h = 102 - 101. Let o(m) = 6*m**2 + 6*m - 6. Calculate the remainder when a is divided by o(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36203144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5885.331 minutes?\nAnswer: 353119860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/4047 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 5376?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-3) - -3) + 1. Suppose -6*d + 14 = -r. Suppose -27 - 33 = -d*j. Solve 2*o = -2*o + j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7910257, 7910259, 7910261, 7910263, 7910265, 7910267?\n\"Answer: 2*r + 7910255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 3601372.\nAnswer: 5\/1800686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 4. Let w(l) = -5*l - 11. Let s(r) = -11*q(r) - 4*w(r). Let n(f) be the third derivative of -5*f**4\/12 - 20*f**2. Determine n(s(k)).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.7032 to one dp.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a941 - 4c?\nAnswer: -6a98d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36, -96, -182, -306, -480, -716, -1026, -1422?\n\"Answer: -2*f**3 - f**2 - 43*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -23*z**7\/42 - 413*z**4\/12 + 23*z. Find the third derivative of f(s) wrt s.\nAnswer: -1380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 55 = -52 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -84359 (base 11) in base 7?\nAnswer: -1021151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*((-325941)\/1232)\/(-83).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 38. Let j = q - 9.34. Let f = j + -0.63. Sort -1, f, 0.2.\nAnswer: -1, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.2. Let d = 10.09 + -0.09. Let s = 7 - d. Which is the nearest to s? (a) p (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 15*h**2 - 7*h - 60. What is c(-6)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1193\/69 + -390\/23. Let r = -13 - -14. Sort -2, r, 1\/12, q in ascending order.\nAnswer: -2, 1\/12, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -242?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-163.\nAnswer: -16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + z - 12*z. Let n be f(-4). Calculate the highest common factor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -367.35 - -71.46. Let j = 298 + a. Let z = j + -0.11. Is z > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d393 (base 16) to base 14.\nAnswer: -3189d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5) + -1)\/((-43497)\/24165)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from cjcjjnccacanjcdncr?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 0*p**2 + 4*p**2 + (2*p + 2*p - 5*p)*(102*p + 73 - 73).\nAnswer: -100*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (-14 - -28)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-4) + -3)*1. Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 44*f**2 + 423*f + 235. What is l(15)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10531449899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-32))\/((-2)\/8). Let c(j) = 117*j + 119*j + 117*j - 352*j. Suppose 0 = -3*b + 6*b - 36. Let o(y) = -14*y - 2. What is a*o(d) + b*c(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110 * 705.6\nAnswer: -77616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 389*u - 2 + 8018559*u**2 - 8018559*u**2 + 585*u**4 wrt u.\nAnswer: 7020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 1. Let a = p - 3.1. Let q = -0.2 + 0.3. What is the second smallest value in a, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1933 + -0.8067. Let s(l) = l**2 + 2*l - 1. Let z be s(-3). Suppose 2 + z = 4*q. Which is the nearest to -1\/4? (a) q (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 2*j + 4*j + 12 = 2*v, 167*j = v + 168*j - 6 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 107065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-49)\/28 + 7566. Let z = 3608 + s. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -14*w - 11. Let o be 21\/18*6*(2 + -3). Let f(r) = 25*r + 7. Let p(n) = -12*n - 4. Let l(i) = o*p(i) - 3*f(i). Calculate 8*l(y) + 5*u(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/(2\/(-6)). Suppose -d = -z*d. Let g = 3 + d. Solve -g*p - 13 = -5*t + 2, 4*t = -2*p + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 3*k. Suppose -3*r + v = -k*r - 12, v + 20 = 5*r. Calculate the least common multiple of 22 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 3\/20*c**5 + 0 + 1\/120*c**6 + 7\/24*c**4 - c**2 + 0*c - 1\/2*c**3. What is the units digit of d(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 12)*(-8)\/6. Let y be 5\/(-30) + 38\/l. Suppose y*u = -4*h + 5, -2*u - 5 = -5*h - 6*u. Let p(n) = -n**2 + 7*n - 5. What is p(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880500 rounded to the nearest ten thousand?\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056836 at most as big as 372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, s: 5}. Give prob of picking 3 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6)*(-3)\/14. Is 1 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1269\/5 + -253. What is the second biggest value in q, -0.1, -2\/217?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-4*-3 - ((-4*(sqrt(78) + 4*sqrt(78)) - sqrt(78)) + sqrt(78)))\/(2*(-1*sqrt(294) + sqrt(294)) - 3*-1*sqrt(294)).\nAnswer: 32*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 36483292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) -0.04 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/122 and 8\/7 - 15700\/3080?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*i + 3*i. Suppose i = -3*q + 3*c - 87, 23 = q + 4*c + 52. Let t = -4058\/9 - -449. What is the common denominator of q and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 2, y: 2, h: 2}. What is prob of picking 1 x and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**6\/120 + 23*m**5\/60 - 23*m**4\/24 + 17*m**3\/2 - 21*m**2 - 3. What is the remainder when 80 is divided by d(-24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -4. Suppose -55 = -2*y + b, 2*y - 3*b = -14 + 59. Suppose y = -13*i + 3*i. Is i not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 = 3. Let s(f) = f**2 + 3*f + 6. Let z(v) = 2*v**2 + 5*v + 13. Let k(j) = 5*s(j) - 2*z(j). Calculate k(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1480189236*i**3 - 1380259958*i wrt i?\nAnswer: -8881135416*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 13*u**3 - 2*u - 1. Let w be c(-1). Let k = 15 + w. Suppose -187 = -2*b - 5*t, k*t - 116 = -b + 8*t. List the prime factors of b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y + g = 7555, y - 1511 = -4*g. Suppose 4*j - 1206 = 3*o, 4*j = -j + 2*o + y. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160558265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-8))\/(9\/36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 626*-0.2\nAnswer: -125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 13*d - 128 = 0, 83*q = 79*q + 5*d + 67. Factor 18\/5*w**q + 54\/5*w + 0 + 54\/5*w**2 + 2\/5*w**4.\nAnswer: 2*w*(w + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -29, 0.0073, 0.5, -2, -8, 0.08?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1086*g**2. Let f(l) = -2*l. Calculate f(s(r)).\nAnswer: -2172*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from psspspsnppkppnspszzs.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-10) - 2\/10. Solve k*w + 5*w + 35 = -5*o, -5*o - w - 19 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2)*-2 - sqrt(2))*-4 + 5 + (sqrt(1782)*1 + sqrt(22))\/sqrt(11))**2.\nAnswer: -3972 - 880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(99) - (sqrt(99) + (sqrt(99) - 2*sqrt(99) - sqrt(99)) + 4)))**2.\nAnswer: 12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x*x*x**(-7\/5)*x)\/x*x**(-6\/11)*(x*x\/(x**(-11\/4)\/x)*x*x*x)\/x**9 assuming x is positive.\nAnswer: x**(177\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v. Let o(f) = -3*f**2 - 2. Calculate h(o(q)).\nAnswer: -12*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 2*h + 2*b, -9591 + 9678 = 4*h + 5*b for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2\/6 - 2449*g\/6 - 2443 = 0.\nAnswer: -2443, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 4 - 81)*(-2*c**4 + 8*c**4 - 9*c**4).\nAnswer: 210*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 381*t**2 + 1488*t + 18. Give k(-4).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 31. Let q = 40 + -18. Solve -4*k - 8 = 5*o - 8*k, -4*o - p*k = q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 255 + 520)*(5*l**3 - 4*l**3 + 3*l**3).\nAnswer: 1268*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 7.355?\nAnswer: 7.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -3*u + 4*t, -5*t - 205 = -2*u - 2*u. Calculate the remainder when u is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 2\/5 (b) -1 (c) -506\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.6 + -9.6. What is the nearest to 0.1 in -1, 17, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulumuhhluculy. Give prob of sequence lul.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76629483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.108*0.12.\nAnswer: -0.01296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7*117\/(-189) + 2\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y\/y**(-2\/3)*y)\/y)**21*y**(-2)\/((y**5\/y)\/y) assuming y is positive.\nAnswer: y**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -438*q**2 + 2*q**4 + 111 + 38 + 39*q**3 + 101*q**3 - 149.\nAnswer: 2*q**2*(q - 3)*(q + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-3))\/((-28)\/42). Suppose -u = c*w - 5, -2*w + 3*w - 5*u = -3. Suppose 144 = 4*b + w*b. Calculate the remainder when 44 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 - l - 1. Let y(q) = q**2 - 1. Let o(m) = -m**2 + 1. Let i(d) = -o(d) + y(d). Give -i(k) + 2*r(k).\nAnswer: -2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 10*r**2 - r + 2. Let n be u(-10). Suppose 6*d + 0 - n = 0. What is the derivative of -12*b**2 + 3*b - 3*b - 32 - 7*b**d wrt b?\nAnswer: -38*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4324 - 346?\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -46501*y**2 + 3*y - 2. Let s be j(2). Round s to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299\/840 + -5\/56. Let s = 31\/60 - j. Which is the closest to s? (a) 0.1 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 n, and 1 x when three letters picked without replacement from {t: 1, w: 1, x: 2, n: 1, y: 1, r: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99302029 or -99302039?\nAnswer: -99302029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*q - 566*q + 79548 = 598*q for q.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04526756*0.12\nAnswer: 0.0054321072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 12:20 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -18*o**3 + o**2 + 3*o + 4. Let n be x(5). Let k = 3433 + n. Is (6\/18)\/(1\/k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 18*l - 128 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 44. Give t(-11).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from kukunkkuuqkkkqkkkuk?\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3347, 13033, 29183, 51797, 80875?\nAnswer: 116417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*x + 45, 2*x + 0*x + 2*g = 18. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(8) + -3 + sqrt(110)\/(sqrt(10)*-3) + -4)**2.\nAnswer: -28*sqrt(11)\/3 + 485\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 15 = 4*b, s + 5*b - 800 = -770 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from {v: 6, h: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - m**2 + 3*m**2)*((m + 0*m - 2*m)*(-2*m - 2 + 3 + m) - 27*m**2 + 14*m**2 - m**2).\nAnswer: 26*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 674883294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -74, -304, -688, -1226, -1918?\n\"Answer: -77*z**2 + z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 - -8*(-10 + 13). Solve 0 = -n*y + 15 + 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 95\/4 - 7\/(-28). Find the common denominator of (272\/c)\/(6\/(-4)) and 70\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*r + 163*r + 46*r + 1 + 21*r - 3 as y*r + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 26*l**2 + 87*l - 27. Let f(j) = -18*j**2 - 58*j + 20. Let r(q) = 7*d(q) + 10*f(q). Calculate r(-12).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7 - g - 2 + 1. Suppose -4*n - 26 = n - 4*d, -13 = 3*n - 5*d. Determine m(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4547284.\nAnswer: 2, 7, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82337, 329360, 741065, 1317452, 2058521, 2964272?\nAnswer: 4034705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3958329673 + -0.013?\nAnswer: 3958329672.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j = -5*h - 32, -3*h - 27 = 5*j. Suppose -4*z = 18 + 50. Let t = z - -20. Sort h, 0, t in increasing order.\nAnswer: h, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 20*r**2 + 3*r - 58. Let a be k(20). Let s(j) = 23*j - 231. Let p be s(10). What is the closest to -1 in a, 1\/3, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r**2 + 23*r + 64 = 0 for r.\nAnswer: -1, 64\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4 - 140710950*k**2 + 81278847*k wrt k?\nAnswer: 12*k**2 - 281421900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 + 6*n - 96.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/60 + x**4\/3 - 7*x**3\/3 - 73*x**2. Let k be b(4). Solve -3*m = -7 - k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l**5 + 32*l**4 - 2908*l**3\/11 - 1416*l**2\/11 + 126*l - 216\/11 = 0. What is l?\nAnswer: -4, -1, 3\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + i**2 + 1 - 1998619*i + 318*i**4 + 1998620*i to z*i**3 + w*i**2 + t + q*i**4 + v*i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**4*x - 1791*v**3*x - 2595*v*x wrt v.\nAnswer: 12*v**2*x - 10746*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -2*h**3\/3 + 4580. Let o(q) = -3*q + 165. Determine o(f(i)).\nAnswer: 6*i**2 + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 639633 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333547 is divided by 55491?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0048949975 rounded to five dps?\nAnswer: 0.00489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n - 2. Let s be c(-2). Let d = s + -5. Calculate the remainder when 2 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 + m + 4*m**2 + 17 - 14*m - 4*m**2. Let w(t) = t**2 + 6*t - 8. Give -6*n(f) - 13*w(f).\nAnswer: 5*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -268? (a) -0.7 (b) 0.3 (c) -152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1872 = -4*p, -3*q = -197*p + 198*p - 464. Calculate the least common multiple of p and 235.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 307846898 to the power of 1\/2, to the nearest integer?\nAnswer: 17546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19315 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4210*a**2 - 2773*a**2 + 5174*a**2.\nAnswer: 6611*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -334\/1605 + 8\/107. What is the nearest to 1\/3 in 0.3, a, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 4 (b) -12 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 7:27 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4\/7 (c) 15.97 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 11. Let p be v(-8). Let d be (p\/20)\/(1\/(-4)). Which is the nearest to -0.1? (a) -3 (b) d (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14104172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10664 divided by 248\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - c?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.232 + 0.168. Let h = 0.2 + 0.3. Sort n, -0.5, 0.06, h in ascending order.\nAnswer: -0.5, 0.06, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10000 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 221 and 11169.\nAnswer: 145197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 161 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*k = -485*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 49*y\/2 - 147.\nAnswer: -(y + 7)*(y + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4814 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: Solve 1497*t + 3065*t + 13366 = -2121*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8499 + 10719. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 55. Let k be (-9 - (-13)\/2)\/((-1)\/22). Let z = m + k. Calculate the remainder when z is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 3\/5, 1\/9, -3\/7, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0202941 and -585989?\nAnswer: 585989.0202941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 35. Suppose 0 = -m + 2. Put -2, b, m in ascending order.\nAnswer: -2, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62071939 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.06029 or -4\/37?\nAnswer: -2.06029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {k: 2, f: 7, x: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -120711.1 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2) + 120 + -123.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 19*l**2 + 4 - 4 - 21*l**2. Let s(q) be the second derivative of 0*q**2 + 0 + 2\/3*q**3 - 2*q. Give v(s(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7089*o**2*q + 6065366*o**2 - 26*q wrt q.\nAnswer: 7089*o**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1373*x - 6305*x + 29592 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39589*b**3 + 5302*b**3 + 23806*b**3.\nAnswer: 68697*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/27138748 and -151\/34892676?\nAnswer: 244248732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -192b (base 15) in base 10?\nAnswer: -5441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (3 - (-2 + 14)). Let v be ((-32)\/336)\/(s\/28). Suppose 3*k + 28 = 5*x + 2*k, 5*x + 3*k = 36. What is the nearest to x in v, -5\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 27, 8, -3, 2, -4 in ascending order.\nAnswer: -4, -3, 2, 8, 27, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0)*(-2)\/(-2). Suppose v + l*c - 88 = -3*c, 0 = 5*v - c - 488. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 62, -46, -184, -358, -574, -838?\nAnswer: -1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2664 divided by -101\nAnswer: 2664\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-3)\/o)*o\/(o\/o**3)*o)\/(o**1)**40 assuming o is positive.\nAnswer: o**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)\/n*n*n\/n**(-1\/8))**(2\/3))**(2\/71) assuming n is positive.\nAnswer: n**(35\/1278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 25)\/(1491\/(-639))?\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 74*w - 67*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 6*-1*sqrt(77))\/(sqrt(196)\/sqrt(7)) + (sqrt(77) - -1*sqrt(77)*-6)\/(sqrt(14)\/sqrt(2)*2))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/22)*f*f))\/(f**(-12)*f)*((f\/f**(-7)*f)\/f)\/f**10 assuming f is positive.\nAnswer: f**(177\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*c - 13621 - 55022 = 2207*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/200*((-800)\/660 - 12\/(-22)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -1334*n**3\/3 - 4*n**2 - 199*n + 1542. What is the second derivative of r(p) wrt p?\nAnswer: -2668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = 8. Let q(c) = -5. Let a(z) = 2. Let l(m) = 7*a(m) + 3*q(m). Let j(w) = -2*w + 1. Suppose -2 = -3*t + 5*t. What is d*l(b) + t*j(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(5*sqrt(160)).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 170 + -154. Suppose -9896 = -g*z + 11880. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37607?\nAnswer: 37607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.23 - 247.77. Let v = u - -289.3. Let d = 38.3000179 - v. What is d rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 25 = -10*j. Suppose j*q - 38 - 17 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 428456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s + 485 - 827 = 0. Suppose u = 3*f - 99, 5*f + u = -4*u + 185. Calculate the remainder when f is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/39169 and 1\/24628.\nAnswer: 7363772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 268 + 622 = 0. Let y be 1 + -4 - 2\/(8712\/(-2172) - -4). Is y greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833 and 3974447?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -q - 12, -q + 2*q + 2*v = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 2 = -18*k, -k = 2*v + 908. Let i = -447 - v. Let s(h) = -h**2 - 2*h + 7. What is s(i)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149776277.\nAnswer: 7, 21396611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l - 260. Suppose 0 = -4*c + q + 92, -2*c = -4*q - 31 - 29. Calculate the smallest common multiple of l and c.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1536)\/(-190))\/16 - 2\/19. What is the nearest to -1\/33 in -2, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*((-3)\/(-6))\/1. Let j be (3\/f)\/(2\/(-4)). Let a be (-2 + (-4)\/(-3))*3. Sort a, j, 1 in decreasing order.\nAnswer: j, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -47*c - 39. Let o be p(-4). Let m(g) = -o*g + 73*g + 78*g. Let x(k) be the first derivative of -5*k**3\/3 - 1. Calculate x(m(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 30*q**2 - 26*q + 48. Let g be a(-28). What is g rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9.294. Let j = 0.094 - i. Let s = 8 + -12. Which is the third smallest value? (a) -3 (b) 0.2 (c) s (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -207*c**2 + 29808*c + 158. What is k(144)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -9.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8.2 (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 4342.\nAnswer: -10\/2171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 293697142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 60428.\nAnswer: -24171.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1142203 + 30144?\nAnswer: -1112004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1872) + sqrt(1872) + -3 - (sqrt(1872) + 0)*4) + ((-1 + sqrt(1872))*-1 + -1*sqrt(1872)*-5)*2)**2 + -1 + 5.\nAnswer: -96*sqrt(13) + 29957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence doo when three letters picked without replacement from {o: 11, d: 5}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 360d2c - 0?\nAnswer: 360d2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -748\/9? (a) 3 (b) 0.1 (c) -98 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29983.89644 rounded to zero dps?\nAnswer: -29984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**4 + 148*c + 733?\nAnswer: 4*c**3 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2518946282?\nAnswer: 2, 1447, 870403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, 2591, 16, -1, 1 in decreasing order.\nAnswer: 2591, 16, 1, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*f - 25, -15*z + 11*z + 22 = 3*f. Suppose -2*t = -t - 3. Suppose 4*p - 1 = t. Solve -3*h = -z + p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/15*11)\/((-7)\/(-35)). What are the prime factors of 4\/22 + -139*(-6)\/q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 7 (c) -0.21746 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -21, -43, -73, -111?\n\"Answer: -4*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204311, 204289, 204251, 204197, 204127, 204041?\nAnswer: 203939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 495485956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7014 and 167.\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/35)\/((-5)\/(-25))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*u + 4 + (0 + 0 + 1)*(u + 3*u - 2*u) - 3*u + 4*u - 3*u + (-2 - 2 + 5)*(0 - 2*u + 0) + 1017 + 207*u - 1017 + 3 + 3*u - 3 + u - 2*u - 1 - 2*u.\nAnswer: 207*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 (base 5) in base 13?\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2215, -4452, -6719, -9022, -11367?\nAnswer: -13760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8735 is divided by 2606.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 9. Let k(l) = 10*l - 45. Let d(r) = 11*c(r) - 2*k(r). Is d(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7320 = a + 2*w, 5*a + 3*w - 15628 = 21014. Does 78 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 59. Suppose 5*u + 5*q - 75 = 0, -3*u - 36 = -k*u - 4*q. What is the lowest common multiple of u and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18013494 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -27 (b) 5 (c) 72 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**2 + 3. Let n(m) = 6*m. What is n(u(k))?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t + 4*m - 604, 0 = -3*t + 5*m + 1778. Suppose 4*b - 476 = t. What are the prime factors of b?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31969598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10*b = -9*b - 4, -2*u - 2*b + 8 = 0. Is 5 + u - (-3 + -358) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10232001120 (base 4) to base 8.\nAnswer: 4560130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5651355 is divided by 2860.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {y: 2, t: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let h(k) = k**2 - 2*k - 1. Let m be h(u). Is 1 - 0\/(-1) - m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/(s\/(s*s**3)))\/(s**(2\/7)\/(s\/(s**(-5)*s))) assuming s is positive.\nAnswer: s**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 5}. Give prob of sequence ca.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041182122 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203584 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*a - 458*a = -4, 3*m = -2*a - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80142100 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -12, 1, 4, -5 in decreasing order.\nAnswer: 28, 4, 1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -40. Let m be (o\/(-12))\/((-32)\/(-12)). Suppose -4*r = -0*r - h + 33, r + 17 = 2*h. Which is the nearest to -1? (a) 0 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -1\/3 (c) 1\/28 (d) 1 (e) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -3\/20, 1\/30, -0.2?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1100) + sqrt(1100) + 2 + (2 + sqrt(1100))*-1.\nAnswer: -4 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1944, 1504, 1064, 624, 184?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 3669629*a + 1. Let m(o) = o. Determine y(m(h)).\nAnswer: -2*h**2 + 3669629*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*y = 14, 0 = -4*o + 5*y - 1 - 7. Let c be o\/(3\/(6 - 3)). Solve -3*z - 3 = c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**3\/a))**44*(a\/(a\/((a**4\/a)\/a*a*a))*a)**(-18) assuming a is positive.\nAnswer: a**(-134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 1089212*p\/3 - 148297847618\/3.\nAnswer: -2*(p - 272303)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/(v*v**(4\/11)*v)*v))*v)\/v**(-5\/4)*((v**(-5)\/v)\/v)\/v**11 assuming v is positive.\nAnswer: v**(-665\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w**2*w*(w\/((w\/(w\/w**(-3)))\/w*w)*w)**(-1\/20))**(-21) assuming w is positive.\nAnswer: w**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 3:34 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(sqrt(7) - (sqrt(7) + sqrt(49)\/(sqrt(21)\/sqrt(3)))))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*l - 32214 = -691*l for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o**2 - 275*o - 1671. Determine r(-6).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8633 - 8635. Sort 2\/11, -284, 0.3, f in ascending order.\nAnswer: -284, f, 2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -32, -85, -190, -365?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10 + 3280*b + 7354*b - 2621*b + 1. Let m be f(-7). What is m rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -800*p**3 - 2*p**2 + 5*p + 6. Let c be s(-1). What is the greatest common factor of c and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.05 + -2.05. What is the smallest value in d, 3, -0.8, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 6*i = 5*i. Suppose -2*k + 5*h + 11 = i, -k + 2 + 6 = -5*h. Solve -k*j + 4*j = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 72*j - 129*j + 56*j.\nAnswer: -j - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - (64 - 18)) + 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 4. Let c be l(-2). What is the third derivative of 21*k**4 - 32*k**2 - 11*k**4 - 3*k**c + 3*k**4 wrt k?\nAnswer: 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*r + 17178 = -24958, 0 = 5*c - 4*r - 52634. Suppose 2*d - c = -16*d. Does 39 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -68. What is the smallest value in d, -2, -10, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1441 + -7207\/5. Let k = 0.22 - -0.68. Let r = k - 4.9. What is the second smallest value in r, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = -2*w + 4, -2*w - 2*z = 4. Let k(x) = -2*x - 6. Let s be k(w). Let f(v) = 2*v**2 - 6 + s. Let q(p) = p**2. Calculate f(q(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039738 is divided by 57763.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -207 - -209. Suppose -4*j - b = -779, -5*j = b + a*b - 979. Calculate the remainder when j is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -3.02408851?\nAnswer: 6.04817702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004870711 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(5*x - 15*x - x).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3601936 or -3601950?\nAnswer: -3601950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 556, 847, 1138, 1429, 1720?\n\"Answer: 291*v + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-33) - 938\/803. Let o = 6493\/292 + l. Calculate the common denominator of 19\/18 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 79044 = 4*o + 17092, 46449 = 3*o + x. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v - 18*v = -260 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.991706 millilitres?\nAnswer: 0.003991706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 30. Let h = -1 + -3. Let u = 24 + h. What is the greatest common factor of w and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 8:58 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19141907*q - 12252568 wrt q?\nAnswer: 19141907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrroyoziyrryylo. Give prob of sequence zooy.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10011100110100100000101110?\nAnswer: 10011100110100100000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6}. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1.422?\nAnswer: -1.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 743933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*x + 37 - 9. Suppose -3*b + 1 = -5*t - 36, -4*b + 2*t = -26. Put x, b, 5 in increasing order.\nAnswer: x, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15 - 5*g - 12 + 9*g + 25 - 22*g**3 wrt g?\nAnswer: -66*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -121, -117, -95, -49, 27, 139?\n\"Answer: b**3 + 3*b**2 - 12*b - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3287, -13134, -29545, -52520, -82059, -118162, -160829?\nAnswer: -210060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/20)*v**(-3\/4) assuming v is positive.\nAnswer: v**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 17 = 7. Solve 0 = 5*q + 14 + w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*a = 0, 3*q + 2*a = -q. Suppose q*k + 180 = 2*k. What is the greatest common factor of k and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 52 = 3*v. Let d be 1*-2 + 14*-5. What is the remainder when (d\/(-10))\/(9\/30) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -23, 8 in decreasing order.\nAnswer: 8, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*y + 3*i - 4, y + 5*i - 13 = 0. Let n(j) = j**3 - 4*j**2 - 4*j. Let q be n(5). Let d be 4\/8*(-4)\/(-1). Solve y*w + d*w = -q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371\/(-6)*-14 - -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6 and 3*(-4)\/42 - 892\/112.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -901 or -893?\nAnswer: -893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15\/15*24\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -61*k - 70*k + 20847238. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 64 = f + 4*r, 3*f - 4*r = -32. What is the remainder when (91 - -1) + 1\/((-6)\/f) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = -4. Suppose -z*n + 30 = 2*q + q, n = -3*q + 9. Suppose -2*h + n = -5. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-9))\/((-8)\/(-36)). Let i(a) be the first derivative of -14\/3*a**3 + 6 - j*a**4 + 2*a - 2*a**2. Find h, given that i(h) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmogghrmgoim. Give prob of picking 2 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 8}. What is prob of sequence zz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -571, -587, -615, -655, -707, -771?\n\"Answer: -6*n**2 + 2*n - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + (-2 - (-1 + -6) - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20111120 + 102220?\nAnswer: 20221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 26 + 7 = 2*l, 3*b - 18 = -l. Suppose -l = q - 14. Solve 0 = -4*t - 5*h - q, -3*t + 4 = -h - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a hour in minutes?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -23*f + 57. Let o be (-3)\/6 + 18\/4. Suppose -o*p = p - 30. Put f, 4, p in increasing order.\nAnswer: 4, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.1, -0.4, -14, 0.02, 1\/20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -12, 24, 94, 210, 384, 628?\n\"Answer: 2*x**3 - x**2 + 3*x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -3\/4*r**4 + 6*r + 9\/2*r**2 + 0*r**3 - 57. Solve z(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -7)*(-10)\/(-30). Suppose -l*h + 14404 = -2*r, 3*r + 36008 = -2*r + 4*h. Round r to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 15*a. Suppose -1138 - 350 = -4*n. Let p = 373 - n. Determine f(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2193 - -2194. Let w = 2 + -2.4. Suppose 2*i - 8 = 4*q, 3*i - 8 = -0*i + 4*q. Which is the closest to i? (a) r (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 30 = -p. Let j(u) = -2*u + 20. Let z be j(p). Factor 1\/4*i**5 + z*i + 1\/2*i**4 + 0*i**2 + 0 + 1\/4*i**3.\nAnswer: i**3*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2972527 rounded to the nearest 10000?\nAnswer: 2970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -958*o**3 - 6*o + 879*o**3 + 2*o - 2*o**2 to the form n*o**3 + r*o + w + h*o**2 and give n.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3252, 12880, 28882, 51258, 80008?\n\"Answer: 3187*o**2 + 67*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1146*y**3 - 4*y**2 + 4*y + 690. Let p(v) = -1145*v**3 - 5*v**2 + 5*v + 692. Let w(j) = -4*i(j) + 3*p(j). Find the third derivative of w(l) wrt l.\nAnswer: 6894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 8. Let p be d(-11). Let y = 3 + 0. Suppose -t = -5 + y. Which is bigger: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let h = 875606\/23 - 38070. Which is bigger: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = 0, 0 = h - 4*p - 9 - 17. Calculate the highest common factor of h and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/4*(-88)\/(-660)*-26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Solve -2*a + k = 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1 (c) 1074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 876156 + 2?\nAnswer: 876158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -76 and -78 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -131154 (base 6) to base 13\nAnswer: -5593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 8*z**4\/3 - 4*z**2 - 8*z + 17. Let j(g) = g**2. Determine o(j(p)).\nAnswer: 32*p**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(155\/620)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:36 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.1855. Let z = -2.3 - -2.39. Let l = z - b. What is l rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958586581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Solve 0 = -5*n + 4*f - 25, -q*f + 0*f + 6 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4225.4244 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 103.172184 seconds?\nAnswer: 0.0011941225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/sqrt(9)*-3 + 0 + sqrt(3) + sqrt(3) + -1 + 1)**2 + 1.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 14 = -n, 3 = -0*f - f. What is the lowest common multiple of 6 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvoh when four letters picked without replacement from {o: 4, v: 2, n: 2, x: 3, h: 2}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -195.39059 times 21\nAnswer: -4103.20239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 8*j - 3*j - 21, 4*l + 3*j - 23 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010 + 11100001001001101?\nAnswer: 11100000111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 - 147. Let z = -6621\/95 - -349\/5. Which is the closest to 0? (a) z (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -16. Is -5 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = -4*b. Suppose -75 = -b*o - 5*o. Find the third derivative of o*j**6 + 9*j**2 - 7*j**2 + 9*j**2 wrt j.\nAnswer: 1800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 3*y + (1 - 4 + 5)*(-2*y + 2*y - 2*y) - 3*y + 3*y - y + (-61 - 48 + 33)*(-y + 4*y - 6*y).\nAnswer: 220*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 2 g when four letters picked without replacement from sbbgsssgg.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7136?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3)*(-12)\/1. Suppose 0*g = -j*g. Suppose 5*d - 2*h - 333 = 2*h, g = -2*d - 5*h + 153. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -4, -6, -3, 20 in descending order.\nAnswer: 20, 4, 3, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let b(f) = 1564 + 125*f - 794 - 773. Give k(b(p)).\nAnswer: 15625*p**2 - 750*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144872704?\nAnswer: 2, 565909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o - 20. Let k be f(-4). Suppose -2*q - 152 = k*d - 3*d, 4*q + 5*d = -294. Let v = -62 - q. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(133) + sqrt(133))*1*-2)\/(-3*(sqrt(1008) + 2*sqrt(1008) - (sqrt(700)*2 + sqrt(700) - sqrt(700)))).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 8 = y, 12*s + y + 1983 = 1958 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2003 + -2336611?\nAnswer: -2334606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4*v**2 + 66*o**4*v + 282*o**4 + o**2*v**2 + 2668*o*v**2 + 4*v**2 - 2*v wrt o?\nAnswer: -48*o*v**2 + 1584*o*v + 6768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -223 + 297. Suppose 71*j - c*j = 0. Let p = 2312\/99 - 252\/11. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -33*b**3 - 3*b**2 + 5*b + 4. Let l be v(4). Let f be 2500\/((3 - 7)\/l). What is f rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3433, -27330, -92205, -218548, -426849, -737598, -1171285, -1748400?\n\"Answer: -3415*g**3 + g**2 + 5*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-95.1.\nAnswer: -285.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 48*b + 165.\nAnswer: 3*(b - 11)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3640 - 2*a + 4572 - 11842 + 3653.\nAnswer: -2*a + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273333 is divided by 524?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 17 - 53)*(-u**2 + 2*u**2 - 2*u**2).\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23305 (base 6) to base 10.\nAnswer: -3353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -101*i + 123. Let g be l(3). Let k = g + 173. Let u = -14 + 5. Is k bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = q - 4*c, 2*q = 6*c - 2*c + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 9*l. Let i be (-30)\/(-50) + 104\/10 + -2. What is m(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 514809 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 25*o**2 + 42*o + 12. Let k(h) = 14*h**2 + 19*h + 7. Give 7*k(l) - 4*n(l).\nAnswer: -2*l**2 - 35*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - u + u)*(u - 4*u + 5*u) + 3*u**3 - 3*u**3 - 2*u**4 + 0*u**4 - 2*u**4 + 3*u**4 + 17*u**2 + u**4 - 17*u**2 + 11*u**4 + 20*u**4 + u**4.\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53132, 212746, 478846, 851432, 1330504, 1916062?\n\"Answer: 53243*z**2 - 115*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 2.3. What is the closest to -2 in -2, t, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 76*f + 3. Let d(y) = 10*y**2 + 304*y - 13. What is -2*d(j) - 9*q(j)?\nAnswer: -2*j**2 + 76*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + n = 6*u - 6, 24 = -4*u - 4*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -718 divided by 4.\nAnswer: -359\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2899073 to 2 decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4\/5 + 48*z**3\/5 - 84*z**2\/5 - 392*z\/5.\nAnswer: -4*z*(z - 7)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0656916 kilometers?\nAnswer: 65.6916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5673 - -0.35284.\nAnswer: -5672.64716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1525754 or 6103021\/4?\nAnswer: 1525754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 707766 and 1074.\nAnswer: 707766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*b = 195, -2*b + 47 = 3*h - 123. Let a(v) = -2*v + 3. Let o be a(-6). Calculate the highest common divisor of h and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/9)*a*a**(5\/3))\/(a**(1\/8)\/a**6) assuming a is positive.\nAnswer: a**(671\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3 + 1\/3*m**2 - m.\nAnswer: (m - 5)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**3\/3 + x**2\/2 - x + 28. Let q(u) = -4*u**2 + 2*u - 1. Let g(s) = -3*o(s) + q(s). Solve g(y) = 0 for y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 + 3*n**3 + n**3 + (3 - 1 + 0)*(2*n**3 - n + n) - 31*n**3 - 41*n**3 + 11*n**3 to the form h*n**2 + z + k*n**3 + i*n and give k.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y + 3. Let s be z(0). Let v be ((-22)\/(-6))\/(9\/54). Suppose s*d - 2*d = 2, -2*f - 3*d = -v. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1178, 3048, 4916, 6782, 8646, 10508?\n\"Answer: -m**2 + 1873*m - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5))**(-1\/24)\/(z\/(z\/(z*z**(-12)\/z*z))*z*z**20*z))**(-1\/27) assuming z is positive.\nAnswer: z**(259\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/4 - (-118)\/(-8). Let s = r - -23. Let n be 2\/(-4) + s\/6. Solve 0 = -g - 1 - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*i - 3*c - 24, 3*i - 4*c - 23 = 0. Let r be 4\/6*(-6)\/10. Is r not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d0 - -77?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -183950?\nAnswer: 18394b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpu when three letters picked without replacement from pbubbmbywyym.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 10 = -2*x + 14, 2*x - 4 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1373*k**3 - 1413*k**2 wrt k?\nAnswer: 8238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 1\/30*b**5 + 0*b + 25\/3*b**3 - 3*b**2 + 0 + 5\/6*b**4. Suppose y(c) = 0. Calculate c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -2\/5, 36, 1.6?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**4\/2 - n**3 + 5*n**2\/2 - 7*n + 12. What are the prime factors of q(3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33024 + 322254?\nAnswer: 245230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmptndpjnndtnnjdptpp. What is prob of picking 2 p?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(300) + sqrt(300)*-3*-6)\/(((1*sqrt(360))\/sqrt(10))\/sqrt(9)).\nAnswer: -570*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -22. Let j be -2 + (-2 - -3)\/1 + 3. Let o be (-7)\/((-14)\/12)*1. Solve 0 = -p*i - j + o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*a = -24, 5*k = -5*a - 31 - 9. Let r be k\/(-6)*(-3)\/(-2). Suppose -r*q - 1 = -q. Which is greater: 2\/7 or q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11218, -10974, -10730, -10486?\n\"Answer: 244*p - 11462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 21, 2, 243?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -2. Let s = -2 - j. Let m = -8727 - -8731. Which is the closest to -2\/5? (a) -4 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/7 - 160*z**2\/7 - 13200*z\/7 = 0. What is z?\nAnswer: -60, 0, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/9)*a\/a**(4\/15)*(a**(-26))**(-45) assuming a is positive.\nAnswer: a**(52738\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 10:29 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 79634*y**3 - 29*y + 116. Let r(w) = 11376*w**3 - 4*w + 16. Give 29*r(f) - 4*s(f).\nAnswer: 11368*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451701393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6747, -6726, -6705, -6684, -6663, -6642?\nAnswer: -6621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*d + 15*d - 90*d to s*d + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -146, -583, -1294, -2267, -3490, -4951?\n\"Answer: 2*a**3 - 149*a**2 - 4*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxxxxxxvwxwwwxxxwwx. Give prob of sequence xxw.\nAnswer: 385\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/2)\/i*i**(5\/6)*(i**(-1))**5 assuming i is positive.\nAnswer: i**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 + 42 + 40 + 43 - 49*r**2 - 236 + 42.\nAnswer: -49*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531461 is divided by 171?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*r + 16, 4*k - 6*r + 2*r = -12. Let j be k + 0 + -638 + 1. Calculate the common denominator of (j\/80)\/((-3)\/4) and -63\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, 63, 0.3, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + (-8892)\/(-532))\/((-1)\/7)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93998 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 11*r + 4. Let x be g(7). Suppose x = j - 9. Suppose 0*v + 5*b - 40 = -5*v, 5*v = b + j. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(28) - sqrt(28)) + sqrt(56)\/(-2*sqrt(2)) - (((sqrt(336) + (sqrt(336) - sqrt(336)*2))\/sqrt(12) + sqrt(28))*5)**2.\nAnswer: -696 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -1 + (15 - 1) + (-5 - 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1806 is divided by 362.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*r = 2 - 47, -2*c + 3*r + 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 202*v**2 - 4220*v + 9256.\nAnswer: -(v - 2)*(v + 26)*(v + 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5527 a factor of 1871945157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/12*39\/(-663)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81.969 + 0.031. Let z = f + -82.081. What is z rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.6983mm in meters?\nAnswer: 0.7986983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + u = 6, 4*s = -0*s - 3*u + 24. What is the smallest common multiple of 4 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 0, 4*f - 49 = -4*g - 1. Suppose -v = g - 2. Let n be 2 + 5*(1 + -2). Sort n, 1, v in decreasing order.\nAnswer: 1, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 3. Let n(p) = -5*p + 223. What is -6*f(u) - n(u)?\nAnswer: -u - 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 12. Let m be b(-4). Let o(w) be the third derivative of m*w + 1\/30*w**5 + 0 + 0*w**3 - w**2 + 0*w**4. Let g(p) = 2*p**2. Calculate o(g(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2284684\/29 at most -78781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2. Let d(p) be the second derivative of 0*p**3 - 31\/12*p**4 + 0*p**2 + 0 + 6*p. Calculate z(d(a)).\nAnswer: -1922*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 2*c - 2*c + (-3*c + 0*c + c)*(3 + 0 - 1) + (0*c + c + c)*(-1 + 1 + 2) + 1 - 1 - c + (29 - 45 - 3)*(11 - 11 - 5*c).\nAnswer: 90*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256177\/5 + 51440. Let s = -204 + q. Suppose 0 = 3*j - 5*a + a + 2, -4*j - a - 9 = 0. What is the third biggest value in s, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.5 * 0.34.\nAnswer: -17.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -15*i**2 + 55*i + 720 = 0.\nAnswer: -16\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1595035597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2883079, -5766111, -8649143, -11532175?\n\"Answer: -2883032*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4489866 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/222681 and 63\/1865.\nAnswer: 1113405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 7:43 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6621425 is divided by 254670.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - 2*l)*((-4*l + 3*l + 3*l)*(-l + l + l + 2) - 2*l**2 - 5*l**2 + 5*l**2 + (l + 0*l + 0*l)*(l - 6*l + 2*l))*(-25 + 25 - 37*l).\nAnswer: -222*l**4 + 296*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + n + 112 = 0. Let q be (-7)\/n + 23\/(-2). Is (-32)\/(-12)*-3*q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 188181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i\/(i**(-1\/5)\/i))))**(1\/34)*i**11*i**(-8\/5) assuming i is positive.\nAnswer: i**(807\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 20) + (22 - (2 + 3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26425769 + -171440?\nAnswer: -26597209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1\/1001, 0.4, 28376?\nAnswer: 28376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c - 2*c + 0*c)*(5*c**3 - c**2 + c**2).\nAnswer: 90*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 13*g + 13. Let b be ((-60)\/(-21))\/(6\/21). Is k(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 99, 145, 189?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 4. What is the units digit of r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2422*t - 261. Is s(-41) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 9*q + 8. Suppose 3*s = -4*i - 7, s - 4*i - 1 = -6*i. What is l(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1319811 hours?\nAnswer: 475131.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6370 not equal to 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274917*g**2 - 84474*g**3 + 274917*g**2 + 84445*g**3.\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2314130 + 139\nAnswer: 2314269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*o**5\/3 + 575*o**4 + 3330*o**3 - 1656*o**2 - 26784*o - 31104 = 0. Calculate o.\nAnswer: -12\/5, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6)*j\/(j\/(j\/(j*j*(j*j\/j**3)\/j))*j)*(j**0\/j)**(-14\/11))\/((j**(3\/4)\/(j**(-1\/6)\/j*j))\/(j*j*j\/j**0)**43) assuming j is positive.\nAnswer: j**(5699\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11302.1482 - 28?\nAnswer: -11330.1482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**5 + 137*p**4 - 7*p**3 - 3*p**2 + 63*p + 2.\nAnswer: -300*p**2 + 3288*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1109\/6744 - -5\/2248. Let h(j) be the second derivative of k*j**4 + 35*j - 1\/40*j**5 + 0 + 0*j**2 - 1\/4*j**3. Solve h(u) = 0 for u.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (14 - 5910\/120)*(-216)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (10 - 5))*(-12)\/(-48). Let d be ((-4)\/(-6))\/((-1)\/(-3)). Sort o, 4, 5, d.\nAnswer: o, d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 56 = -2*z. Which is the closest to -10? (a) -0.1 (b) z (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50678\/147 + -1034\/3. Which is smaller: -0.6 or t?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-12) + ((-946)\/44)\/(-43))*174\/(-8236)\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 4*b**2 + 9*b + 12. Let z be u(-5). Let m be (-171)\/21 - z - 8\/(-7). Solve 2*d - 10 = -4*l, 3*l - 8 = -3*d + m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0, 15, 1, -58 in descending order.\nAnswer: 15, 1, 0, -14, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1208947 - -1208946.8700009. Let d = 0.132 + -0.002. Let w = i + d. What is w rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-460)\/(-276)*18\/255.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91\/123 - -3\/41. Let b = 3414 - 3417. What is the closest to r in 4, -2\/11, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21798 and 865.\nAnswer: 108990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.01459469 * 0.5\nAnswer: -0.007297345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (4 - 2))\/(20\/16 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 + 12*o**2 - 20*o - 9. Let l be i(-13). Let g = -1226 - l. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(9\/7)*q)\/(q\/q**(-20)))**(16\/3))**40 assuming q is positive.\nAnswer: q**(-79360\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 589047 + -218347. Suppose -128*o + u = -139*o. What is o rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/5 (b) -0.7 (c) 2\/9 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -482023633 from 0.2.\nAnswer: 482023633.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (19 + (-21 - -4)) - (0 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*a + 4 = 20, 2 = 2*a. Suppose -5*h = 3*v - u, 2*h - 1 = v + 5. Suppose -b + 5*b + f = -15, 2*f + 6 = -h*b. Sort b, 8, -1\/2 in descending order.\nAnswer: 8, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -55, 3, -2 in increasing order.\nAnswer: -55, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s + 3*s)*(1 + 1 - 3) + 264 - 264 - 18*s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4 - 25320*m**3 - 76000*m**2 + 25320*m + 75996 = 0. Calculate m.\nAnswer: -3, -1, 1, 6333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 9*g - 9. Let i be 14\/1*(15\/6 - 2). Let o be f(i). Let t be 4\/6*1*o\/(-20). Which is the third smallest value? (a) t (b) 2\/9 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83 - (-3 + 56)) + -28?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2750784.4 + -5.\nAnswer: 2750779.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13570871 and 4724?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*b**3 - 38*b**3 + 27*b**2 + 107*b**3 - 38*b**3 wrt b?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355*r + 17230 + 5805 = 0 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**4 + 7*i**4 - 4*i**4)*(5 - 5 - 41) + 4*i**4 - 2*i**4 + 5*i**4 + 3*i**4 - 12*i**4 - 4*i**4.\nAnswer: 35*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 - 733 + 477 = -46*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Suppose p = k + 1. What is p rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -410*b**3*m**6 - 7*b**3*m + 242*b*m**2 + 5*m**6 wrt m?\nAnswer: -49200*b**3*m**3 + 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1778, -7051, -15830, -28109, -43882, -63143, -85886, -112105?\n\"Answer: s**3 - 1759*s**2 - 3*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -145*c**4\/24 - 18*c**3 + 218*c**2. What is the derivative of h(k) wrt k?\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 707014?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 17442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -546.8798 + -0.1202. Let d = c - -547.000229. What is d rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 11752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 > 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + 19)*4\/22. Sort 40, f, -22 in decreasing order.\nAnswer: 40, f, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167092246\/2625 + 381925\/6. Calculate the common denominator of v and -15\/154.\nAnswer: 19250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 6 = -2*x + 13*k, 6*x = 5*k + 50. Solve x*f - 2*g = -0*f - 19, 5*f - 9*g + 33 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 38*a + 10*a - 1 - a**2 - 5*a - 2*a**2 to n*a**2 + c*a + r and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-164)\/(-6))\/((100\/(-12))\/5))\/((-410)\/(-1025)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292499 is divided by 444.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*t + 21, 2*y + t - 7 = -3*y. Suppose 3*b - 3*k + 6 = 0, -6 = -3*b - 2*k - y. What is the closest to b in -3\/2, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/5 - 26*u**4\/5 - 38*u**3\/5 + 82*u**2\/5 + 184*u\/5 + 88\/5 = 0. Calculate u.\nAnswer: -11, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b - 44 = 0. Calculate the remainder when 32 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-2)\/6)\/((-23)\/69).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 17*a. Let r = -8 + 16. Let w(o) = 4*o + 7*o - 18*o + r*o. Give w(z(k)).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57737910 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -399*g**2*o**3*u + 24*g**2*o**3 + 2*g*o**3 - 3*g*o**2*u + 3*g*o**2 - 65*g*o*u - 9*o**3*u wrt g.\nAnswer: -798*o**3*u + 48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 39 = -2*q, 0*q - 2*h = -4*q + 74. Let c(p) = 1101*p**2 - 1103*p**2 + 39*p + q*p - 48. Let b be c(28). What is the highest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 31 = 3*m. Suppose m = -4*f + 6*f. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 6*l + 4. Let p be m(6). Suppose -p = a - 1. Let j(s) = s**2 + 5*s + 3. Determine j(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003679 rounded to 4 decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Let h(c) = -c**3 + 8*c**2 + 9*c + 5. Let s be h(9). Let k be 0\/b - (s - 3). Let p(t) = -t**2 + 4*t + 3. Determine p(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2. Let r(d) be the first derivative of 2*d**3\/3 - 9. Determine m(r(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 584 and 73?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 + 72 = 13*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60054265 to the nearest integer?\nAnswer: 7749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 444 + -275. Suppose 4*p + 33 = s. Suppose 1193*k = 1185*k + 8. What is the least common multiple of p and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2728 divided by -4\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 16) to base 9.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, m: 10}. Give prob of sequence mrrr.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34522108 is divided by 17261053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let x(i) = 4*i**2 + 358*i. Let g(j) = -2*h(j) + x(j). Solve g(c) = 0.\nAnswer: -89, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-56) + (-33)\/(-7). Let r(o) be the third derivative of 1\/105*o**7 + 0*o + o**2 - 1\/30*o**u + 0 + 0*o**3 + 1\/6*o**4 - 1\/30*o**6. Factor r(t).\nAnswer: 2*t*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 1)\/((-132)\/22). Let d = 5 - 5.5. Let x = d + 1.5. Which is the closest to u? (a) -1 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x - 2 - 118 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25a - 1a?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 31\/6. Let v = -3676 + 51495\/14. Calculate the common denominator of v and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19835*l + 9438*l + 8708*l)*(0*l**3 - 5*l**3 + 2*l**3 - 2*l**4).\nAnswer: 3378*l**5 + 5067*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 498 - 747 = 0. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**2 + 2*c**2 + 0*c**2 + (-11*c - 13*c - 3 + 11*c)*(0*c + 2*c - 4*c).\nAnswer: 23*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -473*f**4\/24 - 2*f**3\/3 - 11*f**2 - 4*f. Is z(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1461 + 1474. Let u(y) = 12*y. Let n be u(5). Let a be (-5)\/n - 2\/8. What is the closest to -1\/4 in -0.3, a, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2710864 + -32506729\/12. Let h = g - 1971. Find the common denominator of (137\/24)\/((-3)\/(-6)) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -46, -47, -46, -43, -38, -31?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*((-15 - -12) + (-7)\/(-2)). Sort -18, -4, 2, u in increasing order.\nAnswer: -18, -4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -176*i - 17906 + 13506. Let o(n) = -2*n**3 + 2*n**2 + n + 1. Let l be o(2). Put 5, i, l, -2 in increasing order.\nAnswer: i, l, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 7 + 0 - 52*p - 745*p - 5 to z + k*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -3.1. Let h = -0.12 + 4.12. Let d = -0.67 + 0.77. Put d, h, k in ascending order.\nAnswer: k, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1*(4 + 5 + (sqrt(1573)*-1 + sqrt(13) + sqrt(416)\/sqrt(2))*2))*-1)**2.\nAnswer: -216*sqrt(13) + 1953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85789915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 - 2*d**3 + 6*d**3 + (-d**2 + 3*d**2 - 4*d**2)*(-d + 0*d + 0*d) + 8*d**2 - 8*d**2 - d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1664369 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (65 + (1 - 3) + 6) - 2) + -6?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 129, 265, 403, 543?\n\"Answer: c**2 + 133*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 8:59 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-27)\/i*i**(-21) assuming i is positive.\nAnswer: i**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 0*u = 20*u - 16*u - 360 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 9 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**2*q))**(-19)\/((((q\/(q*q**0*q*q))\/q)\/q)\/(((q\/(q*(q*q**9)\/q)*q*q)\/q)\/q)) assuming q is positive.\nAnswer: q**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2656289 + -1440870. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = -5*a, -3*v + a = 28. Let q(n) = n**2 + 10*n + 2. Let o be q(v). Find the first derivative of -1 - 1 - k**4 - o*k**4 wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.6, -0.02, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v + 16 = 316 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 128.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 18. Let t(f) = 16*f**2 - 2*f. Let h be t(-2). Calculate the greatest common factor of r and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 3, 8, 15, 24?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/5 - 108*q**4 - 9174*q**3\/5 + 108*q**2 + 9177*q\/5 = 0. Calculate q.\nAnswer: -161, -19, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 43, 180, 459, 928, 1635, 2628, 3955?\nAnswer: 5664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-102))\/(39\/18 - 2). What is the closest to 0.8 in 3, -3\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 131\/986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.3, -2, 0.2, -3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1321672 and -4101.\nAnswer: 1317571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6325045.72 rounded to the nearest ten thousand?\nAnswer: -6330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 6:19 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89525388?\nAnswer: 2, 3, 7460449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(3\/(-48) + 0\/(-1)). Let x(j) = -5*j + 81. Let t be x(p). Let m = -9 + 6. Which is the nearest to t? (a) -3\/7 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 916 + -1925\/2. What is the common denominator of ((-122)\/(-10))\/(-1 + 2) and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/12 + z**3\/2 - 3*z**2 + 3*z. Let f be m(-5). Let o be (28 - -2)*8\/24. Solve 0 = f*u - o - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75*(-286)\/(-175175))\/(3*(-6)\/(-567))?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 42*y + 6. Let b(v) = 5*v**2 - 84*v + 11. Determine 4*b(q) - 7*m(q).\nAnswer: -q**2 - 42*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868 divided by 217.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 741476 divided by 49?\nAnswer: 741476\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2788354 to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1850*s - 164430 - 55199 = -17979 for s.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 24333*x - 4 + 16*x**3 + 4 + 24398*x - 3*x**2 in the form g*x**3 + f*x**2 + d + j*x and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 5 + 5 - r**4 - 2*r**4 + 0*r**4 + (-r**2 + 2*r**2 + 2*r**2)*(r**2 + 2*r**2 - 4*r**2).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 30 = 2*k, -678*k + 679*k = 4*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 33*a**2 - 35*a - 61. What is the remainder when u(28) is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - f**2 + 3*f**2)*(5 - 1 + f - 3)*(-4*f**2 - 2*f**2 + f**2).\nAnswer: -10*f**5 - 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-77)*3\/(5\/(15\/(-12)))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/7)\/((-5016)\/39600 - (10\/12 - 1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1778 - 709*l - 1778)*(3 - 1 - 5)*(1 + 2 - 2).\nAnswer: 2127*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*r + 447, 4*r = 6*r - z + 289. Let u = -38 - r. Suppose 5*i - 175 + 40 = 0. Calculate the highest common divisor of i and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*z = 4*z + 81, -4*k + 3*z - 40 = 0. Let i be 4\/8*(-1118)\/k. Calculate the greatest common factor of i and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103871?\nAnswer: 241, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from mnnmnnnnnm.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/6*(5005\/26)\/(-55)*65\/(-1625)?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4 - 9*d**3 - 900*d**2 + 8700*d - 18000 = 0. What is d?\nAnswer: -20, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/45 and -13\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 953*d + 2470. Determine a(-2).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*z + 5*m, -3*m + 2*m + 8 = 5*z. Let n(f) = 2*f**3 + f**2 - 7*f + 2. Let q be n(z). Suppose 0 = q*y - 10*y + 10. Are 3 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -151332, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541 = 3*x + p, x + 0*p - p = 175. Suppose -w - 3*b + x = 38, 5*b = 20. Is w a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c - 1. Let u be (-2)\/(-6)*3*-1. Let p be m(u). Let n(s) = 4*s - p*s - 3*s. Determine n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*w - 444, 51*w - 47*w = -5*p - 860. Which is smaller: w or -130?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iliqbgqk. Give prob of sequence lq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1652 and 4?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547*p - 176*p - 5936 = 0 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4*-1)\/((-1)\/58). Let l be (v + -1)*(14\/(-3))\/7. Let i = -7 + l. Calculate the highest common divisor of 143 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/269, 42, -0.014, -27?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4094.6 times -0.08\nAnswer: -327.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4971 - 10*b - 2458 - 2520. Let r(j) = -3*j - 2. Suppose -q - 3 + 6 = 0. Suppose -6*u + q*u = -6. Calculate u*v(p) - 7*r(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.228, -0.25, 1, 1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -869*h**3 - 4*h**2 - 4*h. Suppose -1767*b + 1764*b - 3 = 0. List the prime factors of j(b).\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19408 and 94732874.\nAnswer: 2426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/156 and 53\/1248?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5246, 10290, 15334, 20378, 25422?\nAnswer: 30466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -211*g - 733. Let o be x(-10). Which is smaller: o or 1378?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 20 = s. Suppose -3*p = s - 32. Let t = 11 - p. Let u(n) = -n**2 + n. Give u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**3\/6 + x**2\/2 + 2*x. Let p be d(-3). Suppose -4*r = -p*w + 16, 0 = w + 3*r - 8*r - 4. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3 + 229*c**2*k*v**2 + 2*c**2*v**2 + c*k*v**2 + 112*c*k - 2*c*v wrt c.\nAnswer: -12*c + 458*k*v**2 + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 6*z**3 - 3*z**3 + 5*z**3 - 5*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**2 - d**2 - 2*d**2)*(33 - 32 - 29)*(31 - 17 - 12) to g*d**2 + h*d + f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58396 - -58388. Let o(m) = 6*m**3 - 11*m**2 - 14*m. Let x(a) = 2*a**3 - 6*a**3 + 8*a**2 + 9*a - a**2. Give h*x(z) - 5*o(z).\nAnswer: 2*z**3 - z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 2 u when four letters picked without replacement from {u: 3, a: 6, q: 7, i: 1}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -39. Suppose -v*q - 90 = -346. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Suppose -3*v - 45 = -2*d + 34, 0 = -d - 5*v + 20. Suppose -d + 3 = -4*w - 5*f, 0 = 3*w - 2*f - r. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1857, 3714, 5597, 7518, 9489, 11522?\n\"Answer: 2*l**3 + l**2 + 1840*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 3:04 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -499, -494, -487, -478, -467?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - f = -29, 20*u + f = 54*u - 2*f + 99 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 30*y**2 - 98*y - 19. Calculate b(12).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*k**4 - 395*k**2 + 1764*k + 79*k**4 - 540 - 80*k**3 - 2544*k.\nAnswer: -5*(k + 2)**2*(k + 3)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (414 + 418 - 841 - 10*q)*(2*q**4 + 6*q**4 + q**4).\nAnswer: -90*q**5 - 81*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31193 or -30067?\nAnswer: -31193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 21. What is the closest to 1 in 4\/7, o, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.85791766 - -5.\nAnswer: 3.14208234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d + 104 = 3*r, -r + 32 = d. Let n be (112\/r)\/7*3. Which is the nearest to -2\/5? (a) 0.2 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122910.501 hours in weeks?\nAnswer: 731.610125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5590280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*h - 4603 + 9214 - 4611.\nAnswer: -37*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 + -4.33. Let y = -16.17 + l. Sort y, -7, 2\/5 in decreasing order.\nAnswer: 2\/5, -7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 7*v + 55014 + 40*v - 55014.\nAnswer: -v**2 + 47*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -86799 divided by -3?\nAnswer: 28933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2535 plus -294595.86?\nAnswer: -297130.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/25 - 312*i**2\/25 + 1224*i\/25 - 1216\/25.\nAnswer: 2*(i - 152)*(i - 2)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 2*i**3\/3 + 5*i**2\/2 + 2504*i. Give t(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (-1*sqrt(153)*-6)**2) + 3.\nAnswer: -5505 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 314*i - 73*i**2 + 820*i**2 + 674*i**2 + 62*i**2 wrt i.\nAnswer: 2966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (4 + -11 + -1 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 13*a - 18*a = 120, -5*a + 105 = 5*n. Solve -2*q + n - 19 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3113 = 3*o + 4*j, 4*o + 4176 = -12*j + 13*j. Are -1043 and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 10 = 94. Suppose -6*u + 30 = -u. Let o be (-5)\/((-15)\/u)*7. What is the highest common factor of o and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-102)\/(-24)) + 4. Let i = -189 - -194. Let v = -3 - -2.5. What is the biggest value in 1\/6, i, p, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 2. Let p be (-2)\/(-3) - 24\/36. Suppose -3*o + 6 + p = 0. Determine v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 - 6*i + 5. Let x be w(6). Which is the second biggest value? (a) 1\/4 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (16 - -29) - 19.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 2317*u - 142929. What is a(-60)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751258*l + 1 - 2 + 1 - 751265*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*m - 187 = 0, 5*o - 103 = 3*o + m. Suppose 3*u - 3*b - 52 = -2*b, -62 = -4*u + 5*b. What is the highest common factor of u and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660 - 1099*u - 660 - 2624*u + 3721*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 5, f: 1, r: 1, b: 3, p: 2}. What is prob of sequence brh?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 213089, -5, 3 in descending order.\nAnswer: 213089, 3, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88332007?\nAnswer: 19, 244687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-1 - ((-221)\/13 + (44460\/88)\/39).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 1. Let d be (-16)\/6*6\/(-4). Let r be g(d). Suppose 2*x = 7*x + r*n - 240, -4*x + 2*n = -180. Does 23 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965358 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -86*y**2 - 838*y - 22. Let o be b(-11). Is -1208 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80 - (-47 + 76)) + -126\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 + (-4 - -8 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1931 by -2.\nAnswer: 1931\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Let s = -10 - -12. Let n(b) be the first derivative of 0*b + s - 1\/2*b**2. What is l(n(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 15279673594?\nAnswer: 15279673598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3148901 and 32052.011.\nAnswer: -3116848.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 77*f**4 + 5*f**2 - 5*f + 426. Let r(t) = -4*t**4 - t**2 + t + 2. Let d(b) = g(b) + 5*r(b). Differentiate d(y) with respect to y.\nAnswer: 228*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 3*f**2 + 9*f - 4. Let v be h(-5). Let g be (-2 - -5)\/v - (-279)\/(-99). Which is the nearest to 1? (a) g (b) -1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**2 + 7 + 29*m - 9 - 22*m - m**3. Let r be n(-8). What is the third derivative of -7*c**2 - c**6 + 3*c**r - c**6 + 2*c**6 wrt c?\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(2*h + h + 6*h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let s(c) = 1685761591*c. What is s(x(q))?\nAnswer: 1685761591*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, -2, 2, -1.2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/3*(-5)\/(-5)*-1. Suppose t = i + 2*o - 5, 11*i - 4*o = 6*i - 3. Solve -3*n + i = -8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*1*1)\/(-1*sqrt(6)*1).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 8. Let w = t + -2. Which is the third biggest value? (a) w (b) 0.1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {e: 7, d: 2, i: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 11.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -35\/16 (b) 5 (c) 1 (d) -5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7681543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5.7, -3, 23599?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11\/33)\/(1\/717). Suppose -3 = -4*s - l. What is s rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225\/4 + -56. Let k = 43 + -99. Let m = k + 60. Which is the closest to w? (a) m (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1005102 and 180.\nAnswer: 10051020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(-1\/4))\/n*n))\/(n*n**(2\/3))*n**14*n*(n\/((n**(-4\/9)*n)\/n))\/n*n assuming n is positive.\nAnswer: n**(541\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -17 + 0*p**2 - 7\/3*p**3 - 17*p + 0*p**4 - 1\/5*p**5. Differentiate n(x) wrt x.\nAnswer: -4*x**3 - 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*-83\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -53 (b) 1 (c) -1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -72*a - 27. Let j be o(-1). What is the highest common factor of j and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50900 - 25290 - 25610 + 12*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0 (c) 5\/56489\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b - 96. Let h be p(-15). Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-171)\/(-3)*(-55279)\/(-159)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2. Let f(z) = -9*z. Let o(p) be the third derivative of -17*p**4\/24 + 3*p**2. Let y(d) = -5*f(d) + 3*o(d). What is r(y(b))?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-28)\/16 + 2)*12. Let w(b) = b**2 - 5. Let y be w(-4). Is u <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3. Let y = -1 - m. Let b = y - -3. Is -0.1 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*m**2 - 1801769 + 1801769.\nAnswer: 110*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.023 * 0.038.\nAnswer: 0.000874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -935 (b) 2\/13 (c) -10988\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 33 + 12*a + 28 + a**2 + 31 + 29 - 113. What is v(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Suppose -f + 3*l = -20, -5*f = l + l - 49. Let z(n) = -n + n + f - 4*n - 9. Give -2*x(p) + z(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 6:50 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 1 - 1 + 14 - 18*j + 34*j**3.\nAnswer: 34*j**3 - 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3807015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 4*v + 8. What is p(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 19732252 divided by -3\nAnswer: -19732252\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5736 + -5827. Let d = -0.7 - -0.8. Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + (1 + sqrt(11))*5))**2 - (sqrt(44)\/sqrt(64) - sqrt(11)).\nAnswer: 203*sqrt(11)\/4 + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/7)\/m*m*m*m)\/(m*m**(-6\/7)))\/((m*m*m*m**(-1\/6))\/m*m\/(m*m**(-2\/67)\/m*m)*m) assuming m is positive.\nAnswer: m**(-4037\/2814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = -4, -5*z = 3*u + 1775. Calculate the common denominator of 67\/4 and (u\/12)\/5 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281766218?\nAnswer: 2, 3, 23, 151, 61511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42760\/75 + 18\/(-135) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 4*b**3 + 4*b + 3*b**3 + 0*b**3 - 82 + 90 + 7*b**2. Let z(m) = 7*m + 1. Let r be z(1). What is d(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 250*w - 3002. Let q be x(12). Which is the closest to 0.4? (a) 20 (b) 6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(1*(-2 - (-6)\/4)). Suppose 4*o = -11*r + 6*r + 137, t*r - 2 = 0. What is the least common multiple of o and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h. Suppose 12 = -10*w + 14*w. Suppose 8*d - w*d = 0. Let q(g) = g - g + g + g + d. Calculate z(q(k)).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2732 = 23*o - 2594 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000110101 (base 2) in base 13?\nAnswer: -c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)*h*h*h\/(h**(3\/2)*h))**(-2\/117)*(h**1)**(6\/23)*(h\/(h*h\/h**(1\/8)*h*h*h))\/h**(-1\/5) assuming h is positive.\nAnswer: h**(-122959\/35880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/17)\/(420\/(-63))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**2 - 2*u + 1. Is r(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5305195102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/4)\/((-2)\/24). What is the greatest common factor of 18 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4, 0 = -5*y - t - 62 - 19. Let k be (y - -15)\/(1 + -3). Let x = 0.1 + -0.1. Which is the closest to k? (a) -19 (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, j: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 12*u + 60. Let x(d) = -4*d - 3. Let f(h) = -7*h - 5. Let b(m) = u*x(m) + 6*f(m). Let y(v) = 62*v. Give b(y(i)).\nAnswer: -124*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/(-117)*(-18)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -97*h**4\/6 - 299*h**3\/3 - 2*h**2 - 121*h. Differentiate p(j) wrt j.\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 + 6*w**3 + 1315*w - 559*w - 756*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-44)*396\/(-72).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020210111212 (base 3) in base 8?\nAnswer: -6457150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385 + 380. Let t be (230\/(-45) - x) + (-37)\/(-9). Solve -d + 7 = 2*v, -t*v + 11 = 4*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 233 and 10.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3 - 8. Let k = -1 + m. Let c = 22 - k. What is the remainder when c is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(0\/(-2))\/1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -315, -461, -607, -753, -899?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7163 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/36*(-100)\/250.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 282464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 0 + -2 + sqrt(125) + (-1 + sqrt(125))*2)*3)**2.\nAnswer: -1440*sqrt(5) + 18144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25720422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 20. Let h be 2\/(2\/(-3)) + 8. Suppose -k + 13 = h*o - 7, -o + 4*k = 17. What is the remainder when p is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36976685279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 101000100101101111111101001?\nAnswer: 101000100101101111111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -17*k**4 - 194*k**2 + 507*k. Let c(s) = -37*s**4 - 388*s**2 + 1014*s. Let y(t) = 6*c(t) - 13*i(t). What is the second derivative of y(w) wrt w?\nAnswer: -12*w**2 + 388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -19*b - 16. Let f be s(10). Let k = -105 - f. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 247060 + 14*k**3 + 2*k**2 - 247060 to c*k**3 + b + z*k + h*k**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565150, 564721, 564292, 563863?\nAnswer: 563434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 28 = -4*a, 0 = 43*w - 42*w + 4*a + 12 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/7 + 2409*q**2 + 2199288*q + 552745872.\nAnswer: 3*(q + 532)**2*(q + 4557)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/638242 and -93\/10676048.\nAnswer: 117436528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -2\/17, -8, 1, 23, -2\/5 in decreasing order.\nAnswer: 23, 1, -1\/11, -2\/17, -2\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -s, 2*y + 3*y = -5*s + 30. Let x = -110 - -108. Let a be x - (-11)\/((-165)\/(-48)). Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h = -10*h - 29413 - 67868. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-380)\/133)\/((-160)\/(-140)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*k**2 + k + 18*k**2 + 9*k**2 as y + d*k**2 + c*k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4208 and -83\/11440500.\nAnswer: 45762000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 1 + 2 - 45*t**3 as w + b*t + r*t**3 + h*t**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/20)\/((-3)\/(-12)). Put -5, 0, x in decreasing order.\nAnswer: 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) 0.4 (c) 5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 1. Let w be z(-1). Suppose -w*j - 120 = -7*j. Let t = -13 + j. Calculate the remainder when 21 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 13, -35, -121, -257?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2, u: 1, w: 1}. Give prob of sequence wa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.5 + 5.5. Let v = k + 21.85. Let g = v - -0.149995. Round g to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 1 u when three letters picked without replacement from {i: 1, u: 2, y: 4, x: 5, q: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1863, 1400, 4689, 8004, 11345?\n\"Answer: 13*g**2 + 3224*g - 5100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 11*m**2 + 10*m - 10. Let k be h(-12). Let o be (3\/(-1))\/3*k. Let s = o - -149. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 7\/30*j**5 - 4\/3*j**3 - 2\/45*j**6 - 1 - 1\/63*j**7 - 7*j + 4\/9*j**4 + 0*j**2. Solve l(s) = 0.\nAnswer: -3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 18. Let s be ((-16)\/(-50))\/(a\/15). Suppose 5*l - 17 + 7 = 0. Which is greater: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 - x. Let l = -1 + 0. Let v be a(l). Let p(j) = j + 5. Calculate the remainder when p(v) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 270128 - 100827. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15779 (base 10) to base 6.\nAnswer: 201015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) -3 (c) -4\/59015 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*u**2*w - 10*g**3*w**2 + 28*g**3 + g**2*u**2 - 3902*g*u**3*w**2 + 86*g*u*w - 2*u**3 - u*w**2 wrt w.\nAnswer: -20*g**3 - 7804*g*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (0 - (0 + 1))) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 19 = -3*g, -29 + 8 = 5*d - g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/132*(-45)\/4 - -2 and 91\/396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**4 - a**2 - a - 1. Let x(v) = -4*v**4 - 4*v**2 - 4*v - 2. Let p(j) = -4*s(j) + x(j). What is the first derivative of p(o) wrt o?\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.31219889 to 2 decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-10) - 2)*(-5 - (-1 - -6)). Solve 2*g + 4*m - 9*m = -21, -2*m = t*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.3 (c) -3\/8 (d) -512 (e) -0.1 (f) -8 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4078794180 to the nearest integer?\nAnswer: 63865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 9*u**2 - 12 + 9*u + 2*u - 2*u**2. Let b be l(10). Let v(c) = -c**2 + 2*c - 1. Determine v(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Is 2932\/(-6)*9\/(-12)*o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*h = -48, -m + 4*h + 33 = 3*h. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/222 - -4\/37. Let r(p) = 3*p + 16. Let m(t) = 4*t + 17. Let g(f) = 4*m(f) - 5*r(f). Let i be g(12). Which is greater: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 30*x + 1 - 48*x - 86*x.\nAnswer: -104*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 34 = 106. Let j = -103 + 107. Suppose 1 - 37 = -j*p. Calculate the remainder when x is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -8. Let n(o) = -3*o + 2. Let a(i) = 2*i - 1. Let w(g) = 10*a(g) + 6*n(g). Does 14 divide w(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71398 is divided by 35512.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(2*sqrt(19) + sqrt(19) + -4))**2.\nAnswer: -14025 + 1800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.45 + 47.05. Let u be 16\/7 + (-1 - 1). Put u, n, -3 in descending order.\nAnswer: u, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(95) + (sqrt(95) - 2*sqrt(95)*3))*4*3)\/(((sqrt(270)*1)\/sqrt(6) + sqrt(45))\/(sqrt(81)*5)).\nAnswer: -360*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432376 and 15442?\nAnswer: 432376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*l - 105*l + 40 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v**2. Let r(p) = 208*p**2. Suppose -125*j = -101*j + 2688. Calculate j*d(f) + 6*r(f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 16. Let l be (k\/10)\/(14\/(-56)). Let d = -28 - -24. Which is the nearest to -0.1? (a) 2\/13 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14876?\nAnswer: 2, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 39.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 50. Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 + 14*d**2 - 7. What is n(4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 403\/54 - -13\/27. Find the common denominator of k and -59\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8083.76592 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4\/4 - 7*p + 14. Differentiate r(a) with respect to a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*f + 16*f**2 + 18*f**2 - 29*f**2 - 2*f**3 - f**3 in the form o*f**3 + d*f**2 + t + m*f and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 3}. What is prob of picking 3 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -22. Let g be a\/(-18) - (154\/63)\/(-11). Which is smaller: g or 1\/14?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d8466 (base 14) to base 15.\nAnswer: -a4b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 777, -402676, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z + 4, -4*q + 2*z + 20 = 0. Solve -q = -2*c - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + -37 + 3 + -15 + 22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -l - 66, -5*l - 368 = -4*a - 108. Calculate the remainder when a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46228, 45944, 45670, 45412, 45176?\nAnswer: 44968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m**2. Let c(b) = 5*b**3 + 7*b**2 - b. Suppose -4*u = -5*n + 11, -5*u - 20 + 4 = -4*n. Give n*c(q) - 6*j(q).\nAnswer: q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzxwszzggzxgwxs. Give prob of sequence ww.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9178942.\nAnswer: 2, 1193, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155847 by -1.\nAnswer: -155847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, -1.73, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*i = 7*h - 148, 2*i - 80 = -3*h. Let m be ((-24)\/h)\/((-2)\/14). Let z(k) = 3*k - 1. Let w be z(m). Solve b = -5*v - w - 3, -3*v - 3*b = 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-6)\/(-6))\/(2*2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 222201134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -15.40525.\nAnswer: -13.40525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 3*a + 7. Let t be (-2 - -3)*(-2 + 6). Calculate the remainder when 43 is divided by c(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 449329\/87260 - -3\/4363. Let n = -25 - -24. Calculate the common denominator of k and 246\/(-24) + n + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 14*w = 3542. List the prime factors of w.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from luvvnonl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -0.2. Let q be 36\/32 - (2 + -1). Let y = -7.9 + 1.9. Which is the second biggest value? (a) y (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119784 (base 15) in base 13?\nAnswer: 23638c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 times 27?\nAnswer: 2349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = r + r - 219, -4*r - 3*w + 441 = 0. Let h = -250 + 146. Let m = r + h. Solve 3*l - 8 = 2*a, -4*a = -m*l + 3*l - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/3400 and 33\/1600.\nAnswer: 27200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from laaaaapllalaalalla.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 7. Let v be i(5). Let g(f) = -f - 2. Let k be g(-1). Find the common denominator of k\/v - 892\/240 and -115\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173964 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 219*s - 11592. Calculate j(92).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*w - 110*w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*i + 417 - 417 + 328*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34*p - 34*p - 1 + p**2 wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306.041 less than -5?\nAnswer: -311.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82692 is divided by 366?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -31, -23, 5, 59, 145?\n\"Answer: m**3 + m**2 - 16*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255570 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251*x + 327*x - 94*x - 6 + 871*x - 186*x)*(-3 + 0 + 2).\nAnswer: -1169*x + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221 + -214. Suppose -417 = -z - 5*l, -5*z + k*z + l = 879. Is 46 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*5\/(-30) - -13. Suppose 3*x + 5*w = -p, 3*w + 5 = 8*w. Let t = 3 + -2. What is the closest to t in x, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and -0.269?\nAnswer: 8.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p*p\/(p\/(p*p**(-1\/10))*p*p)*p)\/(p\/p**(-2\/21)))\/((p\/(p*p**23*p))\/((p*p**(4\/7))\/p)))**(2\/37) assuming p is positive.\nAnswer: p**(5749\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2.9 (b) 25\/2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -822 - -1156. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260416 <= 1259875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1431 = -3*a, 0 = -4*y - 5*a - 1974 + 551. Let j = -159 - y. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5153382 months?\nAnswer: 0.04294485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*p**2 - 22*p**2 + 14 + 9*p**2 - 3*p**2 wrt p.\nAnswer: -86*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571 + 91 = -16*i. What is the highest common divisor of i and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 24 = -5*g + 6, 0 = g + 3*n - 10. Solve 4*l + 0*c - 4*c = g, -4*c + 6 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w**3 + 9*w**3 + 11*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 90 = 4*l, 6*y - 3*y = -3*l + 57. Calculate the greatest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - 354. Let o(h) = h + 116. Calculate 2*c(m) + 7*o(m).\nAnswer: -m + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (9 + (-3 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147307 and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26\/3 + 9. Let k = -7 + 19. Let u = k - 11.7. Which is the nearest to h? (a) -0.4 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 1:48 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 300 = 46*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -34*t + 9. Let f be w(6). Let v be 20\/f*(-3)\/(-2). Are 1 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170.28 + -1984.72. Sort -1, 0.3, g, -2\/5 in increasing order.\nAnswer: g, -1, -2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*l + 0*l + 150 - 675 + 387*l**4 wrt l?\nAnswer: 1548*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 42 (b) 33 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -982 times 45\nAnswer: -44190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 7*u**2 - u**2 + (-7*u**2 - u + u)*(3 - 1 + 1) + u**2 + u - u + 1 - 1 + 3*u**2 to q*u**2 + j*u + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**2 + 80*n - 400 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*10\/30*(-2)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + x - 760 = 0, 4*b = -3*x - 1130 + 2648. Let m = b - 381. Solve m = t - 46 + 50 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.13065 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13283060 divided by -3.\nAnswer: 13283060\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 (base 10) in base 9?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 2 + 16 - 2.\nAnswer: -3*l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.015 + -3.015. Let n = 7 - 7.2. Let h = -0.4 - n. What is the nearest to h in p, 1\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**4\/10 - 164*l**3\/15 + 1718. Determine c, given that p(c) = 0.\nAnswer: -82, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 228336, 913354, 2055046, 3653412?\n\"Answer: 228337*n**2 + 7*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1469409 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116452066*q**5 + 785833692*q wrt q.\nAnswer: 2329041320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8249 (base 11) to base 16\nAnswer: 2abf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 341800*d**4 + 715857?\nAnswer: 1367200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10*x - 2*v + 26, -3*x - 5*v = -27. Solve 5*w + 6 + x = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**4\/8 - 2*a**3\/3 + 3*a**2. Let d be v(-4). Solve 2*b = d, -10 = o - b - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 6*c + 165 = 0. Let x be c + -10 - (-29 - 1). Calculate the highest common factor of 248 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 1. Let v(u) be the first derivative of -u**2 - u + 1108. Determine -13*k(o) - 6*v(o).\nAnswer: -o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**2\/2 + 1. Let j = 4 + 16. Suppose 5*i = -j + 45. Let u(a) = -2*a. Determine i*w(k) - 3*u(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o + 0*o - o)*(-1 - 1 + 1)*(-3 + 16 + 20) to the form i*o + s and give i.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/13 + 272*n\/13 + 9248\/13 = 0.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1. Let l(v) = -3*v - 15. What is -9*c(w) - l(w)?\nAnswer: 3*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 + 15*u**2 + 99*u + 62. Is n(-13) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 + 78. Suppose -s = -4*s. Is s less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + 16*y**2 + 10*y - 14. Give n(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*n - 855*n + 428*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7 - 115\/(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235050 divided by 17?\nAnswer: -72650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29308, -29090, -28872?\nAnswer: -28654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(2*j - 3*j + 0*j)*(2 - 2 - 1 - 1 - 3 + 6 + (-4 + 4 + 2)*(-6 + 4 + 3) - 2 + 4 + 0 + 2 - 2 - 1).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13572 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.659 to 2 dps.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3\/15 - 86*p**2\/5 - 788*p\/15 - 176\/5 = 0.\nAnswer: -2, -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 0, 2, 5 in decreasing order.\nAnswer: 5, 2, 0, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7227000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-13 - -3 - (12 - (3 - 15 - -78)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10336*p - 24234 = 15925 + 37637 + 4892 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94.8 + 91.8. What is the nearest to 2\/3 in -0.0513, x, -5?\nAnswer: -0.0513","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 2*w - 5*f, -3*w + 8*f = -1280 + 1208 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14779910 and 59119640.\nAnswer: 59119640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*x - 295*x - 263*x + 468*x**2 + 846*x.\nAnswer: 468*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = 2*u + 3*r, -2 = -5*u + 3*r. Let v(k) = k**2 - k - 1. Let p be v(u). Are 4 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13633 - 8817. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389*c + 3074 = -387*c. What are the prime factors of c?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 - 15 = 0. Let u be (-6 + (-4)\/j)\/(-1). Suppose 40 = -u*k + 3*w, k + 5*w = 2*k + 8. Is -8 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 464*s**2 + 460*s.\nAnswer: 4*s*(s - 115)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*m**5 - 16*m**3 - 72*m**2 - 4716163*m.\nAnswer: 240*m**3 - 96*m - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 359, 720, 1081, 1442?\n\"Answer: 361*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*-4 + -1 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 13*q - 36. Let b be x(9). Factor -2\/5*v**3 - 2\/5*v**4 + 2\/5*v**2 + 2\/5*v + b.\nAnswer: -2*v*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mzmqmsmmqnqmnqmqmm.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(3*2\/6). Suppose 0 = -2*h - v*h + 22. What is the remainder when 0 - ((-24)\/(-4) + -36) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 87*o - 3918, 231 - 181 = -5*r + o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-6)*(3 - 165). Let j = p - 211. Let d(z) = -9*z**3 + 5*z**2 - 5*z + 5. Let c(u) = 5*u**3 - 2*u**2 + 2*u - 2. Calculate j*c(a) + 2*d(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -35.8. Which is the nearest to 4? (a) 1\/4 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 3704247?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3008))\/(4 - 7). Let j = -17903\/654240 + v. Let h = 1901\/580 + j. Calculate the common denominator of h and 59\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**4\/12 - 3*t. Let h(u) = 1 - 1 - 2*u**2. Give h(v(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 176*((-12)\/(-10) - (-14)\/(-70)). Calculate the highest common factor of 4334 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875483908.\nAnswer: 2, 13, 67, 251287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m. Let r(p) = -722*p + 2068. What is t(r(z))?\nAnswer: 2166*z - 6204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -29*q**2 + 10. Let b(o) = -6*o**2 + 2. Let z(x) = 10*b(x) - 2*t(x). Let j(d) be the third derivative of -d**5\/12 - 2*d**2. Determine z(j(c)).\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4 = -10. Let i(p) = 60*p. Let t be i(q). Let o = t - 75. What is the greatest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 56*u - 64*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*h + 142*h = -22. Let s be 14\/63 - 2\/9. Solve -2*a - h*f + 3*f = s, 2*a - 4*f = 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8597, -17150, -25705, -34262, -42821?\n\"Answer: -u**2 - 8550*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -35055*x**2 - 627*x + 627. Let l(f) = 112*f**2 + 2*f - 2. Give -627*l(a) - 2*n(a).\nAnswer: -114*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 8*m**2 - 2 + 15*m**2 + 16*m**2 in the form a + v*m**2 + o*m and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(3\/14))\/k))\/(k*k*k**(3\/17)*k) assuming k is positive.\nAnswer: k**(-467\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*h - 89 = 0, -52 = -5*d + h + 45. What is the lowest common multiple of d and 5?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * -55338.8.\nAnswer: 83008.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4*q - 3 - q + 0*q - q + q + 3*q - 3*q + q - 1 + 1 + (-1 + 1 + 1)*(-3*q + q + 3*q) to the form x*q + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 - 17*n + 2. Let a(v) = v**2 + v. Let x(p) = 5*a(p) + d(p). Let g be x(12). Factor 5*m - 3*m - 2*m**2 + 4*m**g.\nAnswer: 2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/16 - 15\/4. Let b(y) = 21 + 53*y - 48*y - 14. Let s(u) = -6*u - 8. What is f*s(m) - 5*b(m)?\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - ((-6)\/(-8) + 156\/48). Let m be (3\/1 + -4)\/(x\/45). Calculate the greatest common divisor of m and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 24*n - 91 + 249 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000354510356 rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.117307, 1\/6, -744?\nAnswer: 0.117307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -98*o. Let c(g) = 1428*g - 2. Determine q(c(a)).\nAnswer: -139944*a + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207.553 + -12.963. Let j = w + -197. What is j rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (901021\/(-143) - 6\/39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (327 - 2*z**2 - 6*z**2 - 319 + (z - z - z**2)*(-4 + 1 + 4))*(-3*z + 16 - 16).\nAnswer: 27*z**3 - 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34604 and 246.\nAnswer: 103812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 + 11)\/((-1)\/3). Calculate the smallest common multiple of (-12)\/f*(0 + -3) and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8109*r = 8103*r + 1327686. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42968 divided by -5371?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.12 + 7. Let h = n - -0.1245. Round h to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 0, -2\/9, -0.5 in ascending order.\nAnswer: -0.5, -2\/9, 0, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 893*d**2 + 8123*d + 147638. Calculate w(-884).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-28) - 6\/21)\/1. Let i = -14 + 23. Let a be ((-2)\/(36\/6))\/(t\/i). Solve -a = -j - 0, -13 = -5*k - j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90, -84, -78, -72?\n\"Answer: 6*q - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -395 - -408. Let p = i + -13.5. Let j = -3 - -2.9. What is the third smallest value in p, j, -2, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 16 + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 714 and 21658.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 8 + 1 + -1. Suppose 4*b - z + 257 = 0, 0 = -3*b - b + m*z - 260. Let w = -37 - b. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = m - 77. Suppose -6*s = -m*s + 78. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -26*n**2. Let u(z) = 7706120 - 7706120 - 172*z**2. Determine u(p(x)).\nAnswer: -116272*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*q**4 + 18*q**3 + 633*q**2 wrt q?\nAnswer: 480*q + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3080*y**2 + 3082*y**2 - 3*y - y**3 - 9*y**4 + 3*y - 1 to p*y + w*y**4 + i*y**2 + s*y**3 + v and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22817042 to the power of 1\/2, to the nearest integer?\nAnswer: 4777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/8, -0.01, 22 in increasing order.\nAnswer: -1\/8, -0.01, 0.2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*f - 16*f + 68*f + (1 + 3 - 3)*(2 + 2*f - 2) - f + f + f + (0 + 0 + f)*(0 + 2 + 0) - 3*f + 5*f + 0*f + 7*f - 4*f - f to the form h + o*f and give o.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 55 - r + 28 + 153*r in the form x + p*r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/108 and -139\/480.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - k**2 + k - 1. Let x be (-1 + 4\/4)*-1. Let y be c(x). Is (149\/3)\/(y\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1148*r**3 + 6*r**2 - 19*r - 56. List the prime factors of b(-2).\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -14, 11*a + u = 10*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7*l**7\/l*(l\/(l\/l**(-1)))\/l**4)**17)**50 assuming l is positive.\nAnswer: l**6800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 12651 = 16*i - 13362. What is the highest common factor of i and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69 + 44*k + 69)*(3 - 2 + 1) as p*k + v and give p.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1976 - -2017. What is the remainder when p is divided by 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130130010 (base 4) to base 11.\nAnswer: -7a575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -129. Suppose -l*r + 2449 = 361. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2 - 7*v**2 + 32*v - 31*v - 4*v**2 + 5*v**2. Let d be m(-8). Let x = -229 - d. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2914 - 2914.0000012513. What is x rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -277?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 9*x - 10. Let f be q(7). Let p be 11\/f - (-1)\/4. Let o = -8 - -23. What is the highest common factor of o and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, a: 1, p: 7}. Give prob of sequence ap.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2035, 2034, 2031, 2026, 2019?\n\"Answer: -q**2 + 2*q + 2034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (-4)\/8*6. Let p(f) = 24*f**2 + 2*f - 2. Does 23 divide p(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -202*u**2. Let s(o) = 2*o**2 + 18*o. Give s(y(w)).\nAnswer: 81608*w**4 - 3636*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 4. Let c be 6 + -3 - (3 - 0). Is o > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*o - 20 = 2*m, -4 = 4*m - 2*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 3*w - 4*m, -3*m + 25 = w - 19. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 20 = 4*p. Let t be 75 + -2 + (3 - 2). What is the remainder when ((-481)\/t)\/(2\/(-1*4)) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22944463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**3*u**2 - 9*l**3*u + 10*l**3 - 619*l**2*u**2 - 5*l**2 wrt u?\nAnswer: 10*l**3 - 1238*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let b(q) = 9*q - 5. Let k = -3 - -2. Suppose -4 = -v, 4*d - 3 = -d + 3*v. Let c(r) = d*h(r) + k*b(r). What is c(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3618, 7259, 10900, 14541?\nAnswer: 18182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -118*d + 2873. Let o be k(24). Sort o, 12, 3, 5.\nAnswer: 3, 5, 12, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/5 - 9*l**4\/5 - 4*l**3 - 12*l**2\/5 = 0. What is l?\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + z + 6*z)*(5*z**2 - 29 + 29)*(0 - 1 + 4).\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 11 = -s, -5*s + 83 - 82 = 4*y. Calculate the highest common divisor of s and 5355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(y + 1 + 3*y - y) in the form o*y + d and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*b + 455455 = 399*b. What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4734711848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29629255 is divided by 7407306.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2200)*-2)\/(sqrt(8)*-2))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1266817, -2533636, -3800455, -5067274, -6334093, -7600912?\nAnswer: -8867731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5020 (base 8) in base 5?\nAnswer: -40301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + 4. Solve -3*t - 2*t + g = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 16*r - 118. Let q be a(8). Sort 13, q, 1 in increasing order.\nAnswer: 1, q, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 864 + -862. Suppose 0 = 3*d - 4*d + 2. Suppose -69016 = 3*u - 4*q, p*u + 46016 = 2*q + d*q. Round u to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011011110010010011110 (base 2) to base 6\nAnswer: 414210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 301365813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10225 = 1675*x + 14900 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18\/1033 - 47903\/37188. Suppose -x - 2*x - 2*k = -104, 0 = 2*x - 4*k - 48. What is the common denominator of v and (4\/x)\/(2\/79)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*w**4 + 209*w - 10008 wrt w.\nAnswer: -40*w**3 + 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - 3*h**5 + 0*h**5 + (-6*h**4 - 9*h**4 - 12*h**4)*(1 + h - 1) + 4*h**5 + h**5 - 2*h**5.\nAnswer: -26*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -6 - -1) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -1\/11, 3, 235, 1.\nAnswer: -1\/11, 2\/15, 1, 3, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -26629?\nAnswer: -3\/26629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 196*k = -2912 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 26. Let v(h) = 3*h**2 - 6*h - 6. Let z(l) = 5*l**2 - 11*l - 11. Calculate n*v(u) + 6*z(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85.43657 - 85.33. What is u rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1917 - 3*d + 645 + 636 + 636.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**23)\/(v\/(v\/v**(6\/5))) assuming v is positive.\nAnswer: v**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -3661\/234?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 61443*l. Let z(t) = 98*t**2. What is u(z(r))?\nAnswer: 6021414*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -69, -5 in descending order.\nAnswer: 8, 0, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*j + 178*j = -12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -0.02, 23, -0.2, 2\/15, 0.05?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(16\/192*4\/20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225 - 224.9. Let g be 1\/(-4) + 28\/(-48). Sort v, -4, g, 3 in descending order.\nAnswer: 3, v, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 464 and 11488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56700227?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1675888, -3351711, -5027534, -6703357, -8379180, -10055003?\nAnswer: -11730826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -229, 0.5, -2\/3, -125\/98, -4?\nAnswer: -125\/98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from jjjjjyyyyj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21765850 divided by 2176585.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 5:04 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169836884?\nAnswer: 2, 7, 6065603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 983077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -5392?\nAnswer: 5392.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2164*y**3 - 99*y**2 + 2207*y**3 - 4379*y**3 - 2 to i*y**2 + x*y + s*y**3 + g and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6465565.\nAnswer: 5, 37, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17*26\/(-7735))\/(3\/(-7)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008 divided by -63.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 33*j**3 + 0*j**2 + 24*j**3 - 24*j**3 - 27.\nAnswer: 33*j**3 + j**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 2*z + 0*z + (-3 + 4 + 1)*(3*z + 0*z - 2*z) - 6*z + z + 4*z + 2 - 2*z - 2 + 2*z + 1 - 1 + (-511 - 404 + 621)*(3*z - z - 4*z).\nAnswer: 590*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3616, -3614, -3612, -3610, -3608, -3606?\n\"Answer: 2*i - 3618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 272 - 1952 = 4*s, 2107 = -5*s - 2*z. Let t be s\/(-12) - 5\/20. Suppose -37 = -4*q - 4*f + t, -3*q = -f - 62. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - 3*q**2 + 5*q**2 + (1 - 2 + 2)*(0*q**2 + 2*q**2 - 3*q**2) + 9*q + 3*q**2 - 10*q + 0*q.\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 351, 8.\nAnswer: -3\/8, 8, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5657 > -3.453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366, 378, 398, 426, 462, 506?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*o = 3, 64 - 62 = -5*h - 2*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279356754 and 654?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 divided by 3?\nAnswer: 1280\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -17*c. Let q(m) = m - 19*m**2 + 13*m**2 - m. What is s(q(h))?\nAnswer: 102*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*4\/(-30)*135. Let z = r + -20. Suppose -3*k + 65 = 2*w - 59, 0 = 5*k - 2*w - z. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)*w**(-1\/9)*(w*w**10)**(-1\/4))**(12\/11) assuming w is positive.\nAnswer: w**(-37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 7*x - 16. Determine k(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*g**6 - 12*g**4 + g**2 - 926*g.\nAnswer: 13080*g**3 - 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8880168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1215\/(-81)*1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/4 of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 12. Suppose 7*n = t*n + 26. What is the highest common divisor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*a - 70*a = -24 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/3 in -3, -2\/781, 2.75?\nAnswer: 2.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.1177 or 15\/62?\nAnswer: 15\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1354 + -14050\nAnswer: -12696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 26*y**2 - 100*y - 9. Let i be q(21). What is the highest common factor of 2000 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 383 + -1bc8?\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/14 (b) -2\/13 (c) 0.5 (d) -4 (e) 60 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 13*b - 6*b**2 + 3*b**2 - 12. What is m(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 6*d - 6. Let t be r(6). Let x = -0.81 + -2.19. What is the third biggest value in t, x, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/38? (a) 0.5 (b) -2\/11 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 2943.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 2*j + 4*n - 74, 3*j - 127 = 2*n. Calculate the highest common divisor of j and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 938076201\/10 - 94360483. Let m = x + 554172. Let d = m + -1308. Calculate the common denominator of d and -133\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 1, p: 1, v: 5, t: 1}. Give prob of sequence apa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + j + 10*j + 13*j**2 + j**3 - 16 + 4*j. What are the prime factors of o(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 69, 95, 129, 171?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4465)\/(-705) - (-8)\/(-6). Which is the second smallest value? (a) -5 (b) 0.5 (c) 0.1 (d) 12\/7 (e) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.98 - 1.98. Which is the second biggest value? (a) 0.3 (b) 0.5 (c) 2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1990665213 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*32\/(-9) + 6\/(-9). Let b be 8\/(z\/4 - 2\/4). Solve 4*n - 4 + 12 = -3*r, b*n = -5*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 76. Suppose 4 = 2*l + i. Which is smaller: -1\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - 4*x)*(-x + 2 - 2) + (-9 + 9 + x)*(x + 0*x + x)*(1 - 1 - 5).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {e: 2, o: 1, g: 1, d: 9, i: 2, w: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 6 + (-1 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3386029 to the nearest integer?\nAnswer: 1840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3, 7\/4, -8, -2 in decreasing order.\nAnswer: 3, 7\/4, -0.4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-45 + 64) - (-11 - (-7 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsv when three letters picked without replacement from svvvvvsvvvvvsssv?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2822220*h**2 - 15*h + 10. Let g be d(6). Round g to the nearest one million.\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 99*m**2 + 1183*m + 52. Determine u(-12).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**5 - 2*i**4 + i**3 - 1. Let o(v) = -4*v**5 + 33*v**4 + 2*v**3 - 7*v + 5. Let n(d) = o(d) - 2*s(d). What is the second derivative of n(u) wrt u?\nAnswer: -40*u**3 + 444*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/12 - z. Let u(l) = -1488 - 4*l + 751 + 737. Calculate k(u(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 2*s**3 + (-7*s + s + 3*s)*(-2*s**2 + 2*s - 2*s))*(-6 + 2 + 1).\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85515 is divided by 2697?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -546400, -1092798, -1639196, -2185594, -2731992, -3278390?\nAnswer: -3824788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -1 - 18\/3. Let f(j) = 2*j**2 + 3*j + 3. Let h(b) = b + 1. What is n*f(c) + 6*h(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jprr when four letters picked without replacement from pppprjpzzzrpjzppjzp?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329707035?\nAnswer: 3, 5, 7, 41, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o + 16. Let a be m(-5). Let r(h) = 1370*h + 1. Is r(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/((-36)\/360*(-105)\/6*(-6)\/21)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 230014 to the power of 1\/2, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-12\/13)\/k)\/(k*k*k**0))\/(k**(-24)\/(k*k\/(k\/(k*(k**(2\/29)*k)\/k)))) assuming k is positive.\nAnswer: k**(8349\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d - 18. What is q(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/665 and (0 - (-3)\/(-57))\/(32 + 5221\/(-138)).\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12014323093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 5, p: 11}. Give prob of picking 1 p and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 3*g + 2. Let o(x) = 2*x - 1. Let y(w) = 3*w**2 - w + 1. Let c be y(1). Suppose 3*i - 12 = -i - 4*z, z = -4*i - c. Calculate i*l(f) - 3*o(f).\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*y + 87*y + 104 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - (64 - -38) - 34.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 369\/(-21) - (-8)\/14. Let i = 51 + q. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 21. Suppose 3*j + 5*n - 52 = 129, 125 = 2*j - n. Calculate the remainder when j is divided by r(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*a + 26 = -176*a - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 462?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474476563?\nAnswer: 11, 43134233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114118 + 208257 + 2*y**3 - 94139.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 15*k + 4. Let h be j(4). Let m = h - -13. Let v = m - 35. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/10*(-265)\/106. Suppose -1484 = -j + 9*k - i*k, -4*j - 3*k = -5964. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173505886 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157819.\nAnswer: 97, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 + d**2 - 4*d**2)*(-d**2 - 15*d**2 - 3*d**2) - 8776 + 8776 + 354*d**4 as g*d**3 + a*d**4 + j + h*d + r*d**2 and give a.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/155 (b) -4\/15 (c) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -19.5\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 12) in base 2?\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26352 - -26351.9. Which is the smallest value? (a) -5 (b) t (c) 6\/59 (d) -8 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.04 + 12.971. Let c = -16 + t. What is c rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4468.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-1)\/(2\/(-12)). Suppose s*l + 5 = 15. Suppose 0 = g - 4*x + 4 - 21, 11 = 3*g - 2*x. Sort -3, l, g in decreasing order.\nAnswer: l, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1105 - 1103 + 2184)*(-2*v - 2*v + v)*(3 + v**2 - 3).\nAnswer: 72*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**3 - y**2 + 1. Let t be c(-1). Let h(n) = -n**2 - 11*n - 2. What are the prime factors of h(t)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-312)\/(-1612))\/(36\/744). Let f(x) be the first derivative of -2\/5*x**5 - 7*x**2 - 10 - 6*x**3 - 4*x - 5\/2*x**i. What is m in f(m) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s - 171. Let y be ((-57)\/4)\/((-6)\/16). Calculate the highest common factor of s and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(130) + sqrt(130)*1) + -5*sqrt(130)*-3)\/(-3*(sqrt(90) + sqrt(90)*-4)).\nAnswer: 25*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -535603 (base 7) in base 4?\nAnswer: -112301002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -955 - 1124 = -27*x. What is the smallest common multiple of x and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + f - 5 = 0, 0 = 2*p - 0*f + 5*f - 25. Let r be p + 1 - 5\/5. Suppose 2*y - 3 = 3*y + 3*w, -y - w - 3 = r. Are y and -3 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 6*j + 455224, -19*j = -4*c - 15*j + 455228. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, -1117, -1869, -2923, -4279, -5937?\nAnswer: -7897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136517137?\nAnswer: 151, 904087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13676, 18 in decreasing order.\nAnswer: 13676, 18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(1200))\/(-4*(sqrt(144)*-2)\/sqrt(4)).\nAnswer: -5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1255 and 502753?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 33109.\nAnswer: -3\/33109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlq. Give prob of sequence zq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 76866*i**2.\nAnswer: i**2*(i + 76866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 37*f**2 - 42*f - 59. Let g(b) = -b**3 - 16*b**2 - 3*b - 85. Let m be g(-16). What is the thousands digit of w(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*y - 138 = 6*y, 4*x - 4*y + 104 = 0. Calculate the common denominator of -97\/54 and (-18)\/x*-3*(-166)\/(-240).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzlz when four letters picked without replacement from {q: 10, z: 3, l: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47130 by 3.\nAnswer: 15710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27.046 - -0.046. Let y = w - -17. Put y, 2, 5 in ascending order.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s - 27. What are the prime factors of a(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52.5 - -49.87. Let d = k - -2.629799. Round d to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10299, 20785, 31469, 42351, 53431?\nAnswer: 64709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.81 + 0.19. Let x = -5 - -8. Is x > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7361286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 122970120.8 rounded to the nearest 1000000?\nAnswer: 123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -2.4281\nAnswer: 7.2843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 1025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 - -38. Let q = h + 100. Let o(f) = 30*f - q*f**2 - 30*f. Let a(i) = -28*i**2. Give o(a(x)).\nAnswer: -2352*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030131302 + 130?\nAnswer: 1030132032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18857, -16221, -13571, -10901, -8205, -5477?\n\"Answer: o**3 + o**2 + 2626*o - 21485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 154*z**2 - 187. Let y(l) be the second derivative of 5*l**4\/12 - 3*l**2 + 406*l. Give 6*v(a) - 187*y(a).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 15 = -19*f. Let i be 1\/((-10)\/f*2\/20). Suppose i*j + 60 = 5*t, 2*j + 14 = -4*t + 5*t. Solve -a - t = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 + 0 = 0. Let f be (9\/15)\/((-72)\/80). Let l = 1.3 - 1.1. What is the nearest to l in -3, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_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: Round 0.00002637 to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-372)*44*19\/(-1045)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, -0.5, -0.13, -3\/2 in increasing order.\nAnswer: -3\/2, -0.5, -0.13, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 364085977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/140 and -19\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 4*n - 3. Suppose 13*z + 3*z = 48. Let k(y) = -7*y**2 + 3*y**2 + 7*y**2 - z*y - y**3 - 3*y**2 - 3. What is 4*d(m) - 5*k(m)?\nAnswer: m**3 - m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*9\/3 + 71. Let z = h - 2. What is the highest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1, -176, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2 + 5 + 3 - 3 - 4*h - h**2. What is the lowest common multiple of 11 and v(-4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22\/15 + 56\/45. Let j = -1.44 + 0.04. Let q = j + 1.2. Which is the nearest to -2? (a) u (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u + 14*u - 45 - 17*u. Let m be i(7). Let p be ((-21)\/14)\/(((-9)\/(-8))\/m). Which is greater: 0.08 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aga when three letters picked without replacement from ccccgcgagggacgcssg.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4702 + -4700. Sort 4, q, -4, 0, -1.\nAnswer: -4, -1, 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5647255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24994 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 9591.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185 by 7.\nAnswer: -185\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 340 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/9 + 23*m**4\/9 + 1849*m**3\/3 - 11159*m**2\/9 + 5590*m\/9 = 0. Calculate m.\nAnswer: -65, 0, 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -12. Let l be -2 - 6\/(-3) - 1*-7. Suppose -l*h - 375 = -5*t - 5*h, 5*t + 5*h = 410. Calculate the greatest common divisor of t and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1 (base 14) to base 3.\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 102 - 102. Let t(v) be the second derivative of s + 6*v - 1\/2*v**2 - 5\/3*v**3. Differentiate t(o) with respect to o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573240432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z - 129 = 0. Let s = -27 - z. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1552976 or -1552882?\nAnswer: -1552976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = -0*d. Suppose -43 = -u - 5*z, 2*z + 41 = d*u - 69. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = h + 2. Let f = h - -39. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2578*w - 12. Let z(o) = 1289*o - 5. Calculate 2*u(r) - 5*z(r).\nAnswer: -1289*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -1 - 1\/2*n**3 + 5\/3*n**2 - 1\/6*n = 0.\nAnswer: -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50 + 15*x**2 + 6*x**2 - 20*x**2 - x**2 - x**2 + 5*x**2 + (0 + x + 0)*(1 - 1 + x) - 2*x**2 - 4*x**2 + 5*x**2.\nAnswer: 4*x**2 + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 0*f + 1\/21*f**3 + 2*f**2 - 1\/42*f**4 + 1\/210*f**5 + 0. Solve p(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 13, 30, 67, 130, 225, 358, 535?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49314 (base 11) to base 12.\nAnswer: -35061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3062904 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5427 and 17487.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 4, g: 1, n: 2, u: 3, h: 4}. Give prob of picking 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 - 27951196.\nAnswer: -27951176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 + 55. Let m(p) = -4*p**2 - 54. Let t(g) = 4*m(g) + 3*z(g). Let x(w) be the first derivative of t(w). Let q(h) = -3*h + 2. Determine x(q(r)).\nAnswer: 6*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4*(-24)\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-2))\/(-3 + 4 + 1). Let s be 24\/14*14\/2. Let u be (2\/6 + 0)*s. Solve u*z - 3*z + 2 = c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y = 2*o + 268, 13675*o - 13676*o - 7 = y + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 15957*p + 79860.\nAnswer: -3*(p - 5)*(p + 5324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46879 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4\/15 - 44*j**2\/15 + 16*j\/5 + 6 = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -504470 (base 10) to base 5.\nAnswer: -112120340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -116\/3. What is the biggest value in -3, m, 2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14295*q**3 - 2*q**2 - 4*q + 321 wrt q?\nAnswer: -85770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2 + 10441257*w = 0 for w.\nAnswer: -10441257, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - 1536334?\nAnswer: -1536404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 6:59 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-2))\/(1\/(-1)). Let a(u) = j*u**2 - 2*u**2 + 3*u**2 - 2*u**2. Let n(m) = 0 - 219*m + 0 + 229*m + 0. Give n(a(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40482112 to the power of 1\/2, to the nearest integer?\nAnswer: 6363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -1\/5, 20, 2\/219, -111?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, -3, 5, 17, 33?\n\"Answer: 2*n**2 - 2*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 7. Let p = -15 - -21. Determine x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 50 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3543 + 3543. Solve 51*a - 53*a + 4 = w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*sqrt(704)*-4*-3 + -1 - (((sqrt(704) + sqrt(704)*2)*3 - sqrt(704)*-1*4) + 2)))**2.\nAnswer: 2960*sqrt(11) + 963801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -896, -1703, -2544, -3419?\nAnswer: -4328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 6*q - 6. Let c(i) = -i + 1. Let h(x) = a(x) + 6*c(x). Let k(p) = -17*p + 2. Calculate k(h(f)).\nAnswer: 34*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*s = 20, -3*b + 2*b = 5*s - 4. Suppose -3*o = 0, 2*o - b*o + 2 = r. Solve -r*h = 3*j + h, 0 = -j - 3*h - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -42*x**4 - 2*x**3\/3 - 5*x**2\/2 + 58. What is the third derivative of z(n) wrt n?\nAnswer: -1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/6 + 1)\/((-34)\/30090). Let i be 0\/1 - (94 + -2). Let d = i + s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 186 = 10*v. Let j = 35 + -25. Let m = j + v. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15237 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118816 is divided by 576?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 945703905.5305.\nAnswer: 945703908.5305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9097 and 66?\nAnswer: 54582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*g = -23, 5*t + 6*g - g - 20 = 0. Let m be 10*3\/21*t. What is the highest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -1. Let f be (-3)\/m + 9\/(-5). What is the biggest value in f, -4\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(80) + 0 + ((-1*sqrt(80))**2 - sqrt(80))*-4.\nAnswer: -318 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwdzzwjwy. What is prob of picking 2 w and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10 = -2*b, b + 2 = -3*p + 8. Let o be 4\/(-6) - p\/(-3). Suppose -3*d + o*d = -15. Solve -u - 8 = u - 4*g, 0 = 5*u + d*g + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*p**3 - f*p + 69944525*f - 620102*p**3 with respect to p.\nAnswer: 3*f*p**2 - f - 1860306*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**3 + 2*v**3 + v**3 + (-3 - 2*v + 3)*(3 - 3 + v**2) - 9*v**3 - 143811*v**2 + 45*v + 143811*v**2 to w + l*v**2 + u*v**3 + n*v and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 8:08 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-4 + 57\/6). What is the third derivative of -v*w**2 - 3*w**5 - 2*w**5 + 15*w**2 wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {t: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31928926901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 25. What are the prime factors of o(6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c + 1167. Let x = 1033 + -483. Let z = x + c. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2679, 2526, 2373, 2220?\n\"Answer: -153*l + 2832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 22179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 16*v. Let x be n(1). Let j(m) = -7*m - 6. Let b be j(-8). Let r = b - x. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2186791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*j + 31*j - 53*j - 86 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-6) + 1\/3. Let g be (2 + -2)\/(-7 - -6). What is the third derivative of -3*n**q + 3*n**4 + g*n**2 - 9*n**4 wrt n?\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1465.299 millilitres to litres.\nAnswer: 1.465299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, s: 2, g: 8}. Give prob of sequence gsuu.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -667?\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + 4 + 9447*x**2 + 656*x**2 - 4*x + 7194*x**2.\nAnswer: 17297*x**2 + 3*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241606516 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -820, -2011, -3678?\nAnswer: -5821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3647 = -520. Let g = -983 + x. Suppose -4*w - 78 + g = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -3*s + 5*k, 611*s - 50 = 606*s + 5*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f**2 - 4*f. Let b(o) = o**2 + o. Give 12*b(i) + 3*n(i).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 81582 divided by -6\nAnswer: -13597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 9*t + 6912. Calculate the greatest common factor of 32 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(833) + -1)*-1 - sqrt(833)*-2*3))**2 - (5*(sqrt(187) + (sqrt(187) - (sqrt(187) + -3*sqrt(187) + sqrt(187)))))\/(sqrt(55)\/sqrt(5)*-5).\nAnswer: 283*sqrt(17) + 83304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/32 and -91\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/187 and -30\/20027683?\nAnswer: 220304513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 415 (b) -1 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109410800 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 14 = -14. Suppose 9 = 2*l + x - j, 3*l + 2*x - 14 = 0. Solve 0 = 4*a + o + 4, 4*a + l*o = 10 - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.633*-194.55.\nAnswer: -512.25015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2.4. Let y = -3.6 - q. Let p = -4.1 - y. Which is the third smallest value? (a) 2\/3 (b) p (c) 5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 (base 10) in base 8?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.4 + -18. Let z = 120 - 120.2. Let h(t) = t**2 + 7*t - 6. Let l be h(-8). Which is the second smallest value? (a) z (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 10*p**2 - 7*p + 4. Give v(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cewe when four letters picked without replacement from ucewewwwwwwccwwwec?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 6*h + 60. Let a = -11 + h. Let m = 21 - 41\/2. Is a bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4847\/(-296) + (4 - -13))\/(32 + -31)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 14. Let g(v) = -2*v + 1. Determine g(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**3 - 9*s**2 - 12*s - 3. Let v(p) = p**3 + p**2 + 2*p + 2. What is -i(x) - 6*v(x)?\nAnswer: x**3 + 3*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187749586?\nAnswer: 2, 93874793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22185.\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7317 - 48 + 57 = 174*r for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 52. Put -4, y, 3\/5, -1 in increasing order.\nAnswer: y, -4, -1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -0.27 (b) -78 (c) -0.31 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -305, -633, -963, -1289, -1605, -1905, -2183, -2433?\n\"Answer: b**3 - 7*b**2 - 314*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15259414.8 hours to weeks.\nAnswer: 90829.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p + 1. Let a(j) = 7*j - 2. Let x(u) = -5*a(u) - 6*l(u). Let b be x(-4). Suppose 5*o + b*o - 70 = -5*w, 8 = 2*o. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from elee?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -345 not equal to 4\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108*28\/(-20790)*(-150)\/(-15).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.122 - -0.022. Let o = 64.1983 + -0.1983. Which is bigger: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 4 = -5*a - 36*s, 3*a + 9 = s. Let w be 3\/a + 610\/380. Sort -3, -1, 0, w in ascending order.\nAnswer: -3, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.4 - -0.3. Let y = 0.1 + o. What is the biggest value in -2, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 403 = -15*x - 26*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(420)\/(2*sqrt(10)*3))\/(((sqrt(384) - (sqrt(384) + (sqrt(384) - 2*sqrt(384)*2))) + sqrt(384))*6).\nAnswer: -sqrt(7)\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 18. What is the remainder when 44 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 501 by 501.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16680 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-12))\/(-1 - (-2)\/8). Let s = -0.9 - -1. Put x, -4, s in decreasing order.\nAnswer: x, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -9*g - 1120. What is the lowest common multiple of (3 - 11)\/(40\/g) and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*17\/136 + 17. Calculate the highest common divisor of 68 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 237*h**3 - 5*h**2 + 37*h - 5. Let u = -150 - -154. Is x(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-10))\/((-4)\/(-8)). Suppose 0 = -4*w - 2*l + 13 + 1, 0 = -2*w - r*l + 13. Solve -w*k = 3*k - y + 2, -4*k = -5*y - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39400, 78803, 118208, 157615, 197024, 236435?\nAnswer: 275848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 7. Let h be a(-5). Suppose -g + 1 = -1, 4*g = h*n - 194. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Let d(r) = -1 + 2*r**b + 1. Let z(o) = -3*o. Calculate z(d(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 13\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3090*y + 8685 + 613 = 1559*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*a + 8 = 0, -2*f - a - 20 = -0*f. Let z(x) = 62*x - 3 - 1 - 129*x + 86*x. Let q(r) = 29*r - 6. Give f*z(u) + 5*q(u).\nAnswer: -7*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from {d: 5, v: 7, m: 4}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -4.9, -7\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 1\/20*z**5 + 0*z**3 + 19 - 9\/2*z**2 - 2*z + 7\/12*z**4. What is p(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 356736955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.69875cm in kilometers?\nAnswer: 0.0000369875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 631632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 4*j. Let n(y) = 6*y**2 + 5*y - 3*y**2 + 0*y**2. Let t(r) = 5*d(r) + 4*n(r). Let v(a) = 3*a. Determine v(t(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) 5 (c) 3\/2 (d) 3\/8 (e) 8 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 1\/3, -9, 1, 0.017, -2\/57?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884952655 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1524 = q - 5*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 4*j**2 + 2*j. Let h(p) = 2*p + 9. Let c be h(-4). Let k = 2 + c. What is d(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7329*q**6*s - 990*q**6 + 87*q**2*s + 2*q**2 - 2*q*s + 5*q + 3*s + 51 wrt q.\nAnswer: -879480*q**3*s - 118800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {p: 1, m: 2, h: 2, b: 1, j: 14}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1 + (4 + 0 - 2)*(0 - 2 + 1) + 0 - 4 + 5 + 1 + 1 - 1)*(-h + 2*h + 2*h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-28)\/(-18) - 6\/(-9) and -2 + 2 + 2*22\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42dc2b (base 14) to base 8.\nAnswer: 10512117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12330928?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*j**3)*(0 - 1 + 2) + 30*j**3 + 42*j**2 - 42*j**2 - 68*j**3 + 292*j**2 - 292*j**2 to the form t + h*j + u*j**2 + x*j**3 and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 166.4 * 1.934.\nAnswer: 321.8176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 76*m. Let f(i) = 163*i. Let s(g) = -7*f(g) + 15*u(g). Let a(y) = -492*y. Calculate s(a(l)).\nAnswer: 492*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (2 - 1) - -9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489395 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.362642 litres to millilitres.\nAnswer: 9362.642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.05 (c) -26 (d) 1 (e) -0.075\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1151, 1159, 1165, 1169, 1171, 1171?\nAnswer: 1169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48057?\nAnswer: 3, 83, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k = 15. Suppose -5*v = 0, 0*f + f - 4 = 3*v. Let h = f - k. Which is the second smallest value? (a) 0 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40571*w + 40570*w = -5*x - 15, -3*w = -13*x - 37 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101 less than -2553420.15739?\nAnswer: -2553420.05639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 4 - 2*d)*(0 - 1 + 0) + 3*d + 2*d - 3*d - 8 + 8 + 9*d)*(d - 4*d + 4*d) to z + u*d + n*d**2 and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 5*t + 10 = l, -3*l + 4*t = 10. Let q(j) = -256*j**2 + 17667*j - 155. Let u be q(69). Does l = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -40. Suppose -4*h = -5*o + 13, 2*h - 7*h + 2*o + 5 = 0. Let u be 48\/(-15) + (3 - (h - 3)). Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 300*q + 1000.\nAnswer: -4*(q - 10)*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 5*p + 97, -40*b = -35*b - 4*p - 78. Factor 49\/4 - t**3 - 105\/2*t + 57\/4*t**b.\nAnswer: -(t - 7)**2*(4*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 71*a - 32. Let t(l) = -1092*l**2. Determine h(t(d)).\nAnswer: -77532*d**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -689, -707, -747, -821, -941, -1119, -1367?\n\"Answer: -2*a**3 + a**2 - 7*a - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1589 from -67008467087.\nAnswer: -67008468676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -753, -1641, -2869, -4431, -6321, -8533, -11061?\nAnswer: -13899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589623667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 - 2*a + 5. Let q(b) = -b**2 - b + 3. Let o(j) = 5*q(j) - 3*y(j). Let h(x) = -7*x**2 - 6*x - 2. Determine h(p) + 6*o(p).\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -561 - -563. Solve l*s = -s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/6*(0 - 6\/76). Which is the closest to 0? (a) -0.1 (b) 1 (c) -3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 1\/553, -4, 3.7?\nAnswer: 1\/553","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/9 and 20\/81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -51?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 15. What is the units digit of 3\/(s\/(-13) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/264 and 139\/120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l + 8*l + b - 4, 10 = 4*l + 2*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 0.0661.\nAnswer: -1.9339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25062 + 10?\nAnswer: 25072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46913451617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*b + 6*b, 0 = -5*z + 2*b + 9725. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 + 4*u + 16202. What are the prime factors of j(0)?\nAnswer: 2, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 87\/5 of a centimeter?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 17. Let n be h(-6). Suppose -4*s + 9*s - n*p = 5, 4*s + 2*p - 22 = 0. Let k be 4\/16 - ((-65591)\/s + -2). Round k to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -623, -1680, -3237, -5294, -7851, -10908?\nAnswer: -14465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 3, 4, -264, 65, -3 in ascending order.\nAnswer: -264, -69, -3, 3, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = m - 90 + 766, -684 = -5*t - m. What is the remainder when t is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/90 - 19*j**4\/36 - 17*j**2 + 2*j. Factor q(m).\nAnswer: -2*m*(m + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45)\/51 - (-18)\/(-153). Is -4\/9 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12039047 smaller than 108351430\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 17*u = 93, 25*n - 2*u + 62 = 21*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4602635326 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*c + 2*q, -4*c - 33 = q + 4*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 9*o - 3*o**2 - 20 - 6*o + 18. Let n(a) = 5*a**3 - 7*a**2 + 7*a - 5. Give -14*g(m) + 6*n(m).\nAnswer: 2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1476 and -67\/6.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**3 + 105*s**2 + 13*s - 461. Let r be i(35). Let y(p) = p. Let l(z) be the second derivative of 7*z**3\/6 + z**2 + 3*z. Determine r*y(g) + l(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*2*((-30)\/12)\/5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.22 (b) 35\/3 (c) 1\/5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 11*m + 9. Let b be i(-3). Solve w**2 + b*w**2 + 405 - 8*w**2 - 90*w = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -17*g + 65. Suppose 211*o + 261*o - 1888 = 0. What is t(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48021, 48023, 48025?\n\"Answer: 2*k + 48019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2 = 2*q, -3*g = -5*g - q + 1. Suppose 2*d - 6*d + 1912 = g. What are the prime factors of d?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + i - 4*i - 414*i**2 + 400*i**2. Let d(a) = 9*a. What is d(u(p))?\nAnswer: -126*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30895261 + 30895255.1299741. Let h = -5.87 - m. What is h rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 5*p**2 + 4*p + 7. Let q be l(7). Is -125\/2 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3144.25 (b) 3\/8 (c) -2 (d) 0.5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2480960 and 2560?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 69.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 56*w**3 + 162*w**2 - 160*w + 53.\nAnswer: (w - 53)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 23*q + 31 - 29 - 2. Let h(i) = -13*i**2. Give r(h(t)).\nAnswer: -299*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.43 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7aaa8 (base 15) to base 9\nAnswer: -654635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*o - 2)*(-3 + 0 + 2) - o + o + o + 0*o + o + 3*o + (o + 0*o - 2*o)*(-2 - 1 + 2) + o + 0 + 0 to the form m + a*o and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/32)\/((-2)\/16). Let a(s) = -3*s**2 - 3*s - 18. Let l(w) = 3*w**2 + 4*w + 24. Let n(m) = k*l(m) + 4*a(m). Let i(x) = -14*x**2 + x. Give i(n(q)).\nAnswer: -126*q**4 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200184 divided by 456.\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74037.33 years to decades.\nAnswer: 7403.733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -31. Let a = z + -5. Find the second derivative of a*s**2 - s - 2*s - 4*s**2 wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2 - 5183565*j - 36284710 = 0. Calculate j.\nAnswer: -1036706, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 526637035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**3 - t**2 + 7*t - 6. Let r be i(1). Solve -r*u - d = -5, 3*u + 5*d - 13 = 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 79. Let x(m) = m**3 - 3*m**2 + 4*m. Calculate the remainder when u is divided by x(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 67*d + 62*d = -276, -3*d + 412 = 5*a. Solve -99*x + a*x = -132 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2424058 centimeters?\nAnswer: 0.002424058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6796, -6794, -6792?\n\"Answer: 2*x - 6798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230694 is divided by 994.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by 335\nAnswer: 51\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11892, 23844, 35788, 47724?\n\"Answer: -4*l**2 + 11964*l - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523 = 5*v + 120*s - 106*s, -v = -3*v - s - 39 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22894, -22274, -21656, -21040, -20426, -19814, -19204?\n\"Answer: -d**2 + 623*d - 23516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6150 rounded to the nearest 100?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18313 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1250\/125 + (-86)\/9. What is the fourth smallest value in 3, 143, s, 2\/3?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 98 = 5*d. What is the highest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 5*w**2 - 6*w - 3. Let c(a) = a**3 + 3*a**2 + 2*a. Let v be c(-3). Give k(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q = -4*l + 257, 0 = 5*q + 4*l - 415. What is the remainder when q is divided by 21 + 1*-2 - 23\/(-23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0*u**2 - 3*u**2)*(-u - 4 + 4)*(8*u - 13*u - u).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 21566*f - 3868. Let g be y(-12). What is g rounded to the nearest one thousand?\nAnswer: -263000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5487 in -3, 1\/4, 251\/3?\nAnswer: 251\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 433d64 + 0?\nAnswer: 433d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6886*g**5 - 2*g**2 + 3332*g?\nAnswer: 413160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2510 divided by 2145.\nAnswer: -502\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 510.7. Let k = z - -517. What is the second smallest value in 0.5, -0.3, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019093?\nAnswer: 3, 229, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 539328533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143596.\nAnswer: 2, 35899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -48 - 3c0?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/195 + 482\/120 and 57\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 36\/14 + 3\/7. Suppose 4*r - h*v - 16 = -0*r, 0 = 3*r - 2*v - 11. What is the remainder when 24 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217462434\/11 or 19769313?\nAnswer: 217462434\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let q be (2 - -1) + -1 - i. Let v be ((-3)\/12*q)\/(-1). Which is the biggest value? (a) 5 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -113. Solve 5*s + 3*c = -23, n = 2*s - 2*c + 7*c + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145070983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -1\/6*c**4 + 1 + 2\/3*c**3 + c - c**2. Let i(j) be the first derivative of p(j). Suppose i(b) = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-18) - 6)*(1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2. Let y(q) = 122*q**2. Calculate z(y(v)).\nAnswer: 104188*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -96190.37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.1985 to one dp.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 0*u + 1 - 2*u**2 - 3 - 4*u. Let v be z(4). Let t be v - (2\/2 - 7). Solve -5*p + p - 4*l = 8, -p = -t*l + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*n**3 + 147 - 45 - 51 - 51.\nAnswer: 847*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(28))\/(sqrt(576)*-3).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 101*j**2. Suppose -4*f = 359 - 367. Let z(v) = -2*v + 2 - f + 3*v. Calculate i(z(b)).\nAnswer: 101*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018552 to 6 dps.\nAnswer: 0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54907 - 9.485549?\nAnswer: 54897.514451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 + 5. Let p(g) = 1 - 7*g**2 + 17*g - 17*g + 6*g**2. Determine 2*f(z) - 10*p(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67928 + 341091\/5. Let m = -288 + y. Sort 2\/13, m, 0.1, 0.5 in increasing order.\nAnswer: 0.1, 2\/13, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.17 and -7.32.\nAnswer: -8.5644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0 + 1\/5*r**5 + 0*r**3 + 0*r**2 + r - 1\/5*r**6 + 1\/6*r**4. Solve p(y) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 4*f**2 - 3*f - 1. Let a be x(-3). Let t be 5\/a + (-2)\/(-2). Let l(q) = q**3 + 5*q**2 + 2*q - 4. Determine l(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -131.3, 0.1, -11?\nAnswer: -131.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -29*u - 138. Determine w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(s + 2 - 2 + 27 + 10*s - 27 - 15*s + 9*s - 11*s + 6*s - 4*s - s + (1 - 5 + 2)*(0 + s + 0) + 5*s - 3*s - s + 2 + 2*s - 2).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*h = 287*h. Put h, -4, -11, -2 in increasing order.\nAnswer: -11, -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 9807.\nAnswer: 19\/9807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*i + 16\/3 + 4*i**2 - 20\/3*i**3.\nAnswer: -4*(i - 2)*(i + 1)*(5*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -37\/614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*l + 235*l - 115*l + 35 + 9.\nAnswer: 24*l + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/(14\/((-336)\/8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**2 + 2393 + 1986 - 4379.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-2*x**2 + 0*x**2 + 4*x**2) - 45248*x + 45248*x + 1466*x**2.\nAnswer: 1470*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3 + 18634*z**2 - 84410977*z - 22470902748 = 0.\nAnswer: -252, 9443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 725532 and 14088?\nAnswer: 1451064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 7*f - 2. Let z(y) = -3*y**2 + 44*y + 76. Determine -6*p(k) - z(k).\nAnswer: -3*k**2 - 2*k - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230222 + 2?\nAnswer: -230220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15416 and 15292?\nAnswer: 58935368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 7 = 27. Suppose -15 = -3*r, 5*r - 77 = -t*s + 3*s. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**2\/2 + 2. Let v be i(2). Suppose 3*d = 5*p + 27 - 133, p = v*d + 24. Calculate the highest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0961 + 0.3.\nAnswer: 0.2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - -1) + 24\/8. Let c(k) = -2*k + 13. Let v be c(4). Suppose -12*q + 35 = -v*q. Solve 2*r - y = q*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2492?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2653\/13 - -205. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/7 at least -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*c**3 + 127*c**3 + 45*c**3.\nAnswer: 292*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 - -63. List the prime factors of a\/8*(-256)\/24.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1872) - -3*sqrt(1872)) + 5 + -5) + 2 + 6*sqrt(1872)*-1 + -1)**2.\nAnswer: 336*sqrt(13) + 366913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11213 - -11358. Sort 5, j, -22 in decreasing order.\nAnswer: j, 5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.31103 - -1.3050541. What is q rounded to four decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 5*l = 2*w + 16, 10 = -5*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 3*n - 7. Let i be r(5). Find the first derivative of 6*u**3 + 3 - 9*u**3 + 5*u**i wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 5:53 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183 - 5115\/28. Let h(j) be the first derivative of 3\/7*j**2 - 7 + c*j**4 + 0*j + 5\/7*j**3. Factor h(d).\nAnswer: 3*d*(d + 1)*(3*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833095.\nAnswer: 5, 166619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-33775))\/(((-312)\/12)\/(-130))\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7101.662 nanograms?\nAnswer: 0.000007101662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001898006723 rounded to 7 decimal places?\nAnswer: -0.001898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1075, 2166, 3281, 4432, 5631, 6890, 8221?\nAnswer: 9636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 3*a - 7. Suppose -4*q - r + 0 = -17, -q = 5*r + 10. Let z be w(q). Suppose -2*y - 2*l + 0 = -6, y = l + 9. Solve -3 - y = -z*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*69\/2392*(-2816)\/(-220)?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r + 64 = 0. Let q(o) = o**2 - 10*o - 3. Let l = -2 + 13. Let y be q(l). What is the greatest common factor of y and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51518174.\nAnswer: 2, 1187, 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 12 - 492 = 0. What is the greatest common factor of 252 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 867\/484 - 5\/121. Find the common denominator of j and 29\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 19*d - 57. Let w be m(-4). Suppose 0 = 2*c - 3*f - 26, -w*f + 0*f = -5*c + 56. Calculate the greatest common divisor of c and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 16*h + 20. Let g(j) = 15*j. Let w be g(-1). Let k be u(w). Factor -31*z**k + 0*z**2 + 0*z**2 + 34*z**5.\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 5*o + 6. What is the remainder when w(5) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96083902 a multiple of 809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78350*w**2 + 3141*w + w**3 - 3141*w - 78362*w**2.\nAnswer: w**3 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7074 + 417?\nAnswer: 7491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 9*a + 4. Let d be k(-10). Let q = d + -49. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3189\/4 - -796. Let g = -49\/17 - -3. Sort g, a, 0.7 in ascending order.\nAnswer: a, g, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 186, 48, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v + 47. Let x be a(-9). Suppose 5*p - x*d - 86 = -3*d, -p + 19 = 2*d. Suppose -18*w + 5 = -p*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - 4. Is 8 a factor of s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20*-3)\/((-2)\/(-25)*(-3990)\/3591)?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/20, 4316, -0.5?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 16*k - 54. Solve -2*l - 3*m = -17, m = -m + k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104020 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3)*3)\/((sqrt(108) - -2*sqrt(108))\/sqrt(12)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1. Let y = -35 - -34. Let a(m) = -m + 1. Let h(j) = y*w(j) - a(j). Let k(l) = l + 2. Calculate -3*h(i) + k(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*l = -41*l - 2835. Suppose -3*o + 48*h - 45*h = -l, -3*h = 2*o - 70. Calculate the remainder when 325 is divided by o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**5\/20 - 5*m**4\/12 - 5*m**3\/3 - 3*m**2\/2 + 4*m - 23. Determine p(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 483.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**3 - y**2 + 4*y + 2. Suppose 14*s = 9*s. Suppose 5*n + a + 0*a + 12 = s, 2*a = -4. Calculate the lowest common multiple of q(n) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 486, 846, 1344?\nAnswer: 1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 129, 1\/3, 2044?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*u - 2*u + 5, -2*v = -u + 1. Calculate the remainder when (-2 - v) + (-59)\/(-1) is divided by (-2)\/((-11)\/10 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17146586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1466, -1422, -1378, -1334, -1290, -1246?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/17 in -6, 6, -10\/53?\nAnswer: -10\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*q - 3 = -q, h + q + 3 = 0. What is the closest to h in 0.3, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 = 3*b - 3, -12 = 5*b - 2*u. What is the units digit of 10 - b\/(2*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**0*b*b*b\/(b**(3\/13)*b) assuming b is positive.\nAnswer: b**(36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148 + -117.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**4\/4 - 2*h**3 - h**2\/2 + h - 7. What is r(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107.96 + 110. Round h to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**7\/189 + y**6\/135 + y**5\/90 - y**4\/54 - 9*y. Factor n(l).\nAnswer: -2*l**2*(l - 1)**2*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/2, -964, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 67 + 28*w**2 + 28*w**2 - 46*w**2 - 67 + 7*w**2.\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 18 + 11 + -31 + 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(-5 + (2 + 0 + sqrt(147) - sqrt(147)))*5 + 1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1531\/6 (b) -295 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2889 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -562*g + 13. Let d(y) = 283*y - 8. Calculate 10*d(u) + 6*r(u).\nAnswer: -542*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 17 - 256 = 0. Let t be ((-52)\/r)\/(1\/5) + 4. Do 1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 3*d + 41\/3*d**3 + 2*d**2 + 3. Is u(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.0081?\nAnswer: -0.00405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410953709 and 1591?\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 514 - -472. Suppose 0 = 10*g - 12*g + r. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 615314 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022221212202 (base 3) in base 14?\nAnswer: -145d11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -291 + 295. Suppose d - 577 = -3*q, 7*q - 5*q + h*d = 388. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -51.6, 1, -0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 6*t**2 - 7*t - 3. Let x be s(-7). Let u(y) = y**3 + y**2 + 3*y + 2. Let f be u(-1). Let a be -3 + f - (-28)\/8. Is x < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28874\/53599 + 1\/4123. Which is the closest to -0.2? (a) 0.2 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 15, -9, -2, -5 in increasing order.\nAnswer: -33, -9, -5, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 4:33 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 3844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -738 divided by -6\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248 less than or equal to 4033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.44667*-4\nAnswer: 1.78668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018654 to four decimal places.\nAnswer: 0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5418858 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.2 - 7.2. What is the closest to -0.1 in 4, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -39*f**3 + f**2 + 2*f - 3. Determine k(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 + 5*j**2 - 4. Let x be -1 + 1*(-1 - 2). Let u(v) = -6*v**3 - 6*v**2 + 5. Let o(m) = x*u(m) - 5*h(m). Suppose o(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 28*s**2 + 2*s. Let f(v) = -v**2 + 4*v - 4. Let k(t) = -117*t**2 - 221*t + 208. Let m(l) = 52*f(l) + k(l). What is -2*m(d) - 13*p(d)?\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -11, -18, -25?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 7) + 4\/2. Suppose -3*b + 78000 = q*b. What is b rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61245.3kg in tonnes?\nAnswer: 61.2453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*p + 1488 = -171*p for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -12) + -9 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 30158?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from bdhmhhddbhhhdbhbmhhh.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(605))**2.\nAnswer: 242000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 256417*v**2 - 2*v**4 - 256947*v**2 + 0 + 1 to the form x*v + d*v**3 + j + p*v**4 + l*v**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835)\/sqrt(7) - sqrt(5)) + (sqrt(20)*4)**2.\nAnswer: 8*sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36315.\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 54157.85 decades?\nAnswer: 6498942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 607, 1178, 1677, 2068, 2315?\nAnswer: 2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*s = -6, 20 = 5*f - 3*s + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a meter in millimeters?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Suppose d = -s - f + 3*f + 1, 6 = -2*f. Put 1, s, -7 in ascending order.\nAnswer: -7, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*r**3 - 574*r**2 + 1632 + 132*r**3 - 76*r**3 wrt r?\nAnswer: 6*r**2 - 1148*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*c - 193*c = 5*n + 29, -3*c - 3 = 3*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - h + 2. Let s be t(-2). Let d = 10 - 12. Let b be 3*3\/(1 - d). Solve b*z + z = s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80101772 is divided by 1948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 13) to base 14.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20128971?\nAnswer: 3, 59, 113723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 59*p**3 - 648*p**2 - 2448*p.\nAnswer: p*(p - 12)*(p + 3)*(p + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -59, -91, -125, -161, -199?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/5 - 8\/(-2). Suppose 5*g - 380 = -4*k, -3*g + k - 90 = -301. Calculate the greatest common divisor of g and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/3, -0.41, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 52103?\nAnswer: -52105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(7) - (sqrt(7) - (2*sqrt(567) + sqrt(567)))))**2*-5.\nAnswer: -35\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2343 (base 5) to base 10.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111000202201 (base 3) in base 9?\nAnswer: -13430681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.1 + 2. Let z = 20.2 - -1.8. Let p = 22.1 - z. What is the closest to c in 1, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 17, 4, 210?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3 = -3*w - 80, -3*z - 19 = w for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 3 + 9 + -27 + -13\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347582336?\nAnswer: 2, 2715487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*r - 28 = 0, -43*h + 44 = -38*h - 4*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 806 and 682.\nAnswer: 8866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -669594659\/2064 - -324416. What is the common denominator of x and 17\/11?\nAnswer: 22704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0, 1, 5.\nAnswer: 0, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3\/1091 (b) -37 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -157, -337, -589?\n\"Answer: -36*q**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 526003580, 526003581, 526003582?\nAnswer: 526003583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2200281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111304 is divided by 310?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -74.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*sqrt(931) + -1 + -5*(-5*sqrt(684)*2)**2.\nAnswer: -342001 - 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 402, 1571, 2912, 4419, 6086, 7907, 9876, 11987?\n\"Answer: -s**3 + 92*s**2 + 900*s - 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 948313089\/2 smaller than 474156545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:09 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 352134841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.938 + -8.938. Which is the second smallest value? (a) -3 (b) 2 (c) r (d) 5 (e) -98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1819\/4, 0, 0.2169?\nAnswer: 0.2169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 2*o + 7*o**3 - 5*o**3 in the form x*o**2 + m*o + q*o**3 + a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 1 + 16. Suppose 5*h - 2*i - 109 = 0, -f*h + 5*i - 2*i + 60 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:37 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/3039 and -25\/752659?\nAnswer: 2257977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*10\/(-5). Let p be 9 + w + 2 + -3. Solve d + k - 7 = 0, 1 = -p*k + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 786126240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 30*i - 22848 = 0. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*t - 6 - 13 = 0, t = 1. Let v = r - -7. Solve -n + 0*n - v = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 2*d + 1. Let o(c) = -96*c**2 - 6*c. Determine o(n) - 3*q(n).\nAnswer: -102*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 5*n + 5. What is the remainder when 4\/5*(-15)\/(-6) is divided by c(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 315795.1 grams?\nAnswer: 315795100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 19 + -11 - -26.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Suppose 0*s = -s + l. Differentiate -2*o**2 + 1 - 4*o**2 + 6*o**s - 2*o**3 with respect to o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*r + 29 - 46*r - 55 + 39*r + 38*r.\nAnswer: -2*r - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)\/((-4)\/(-4)). Suppose z*o - 2*o = -6. Suppose 5*n - 160 = -5*h, n = 8*h - o*h - 160. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8812, 8808, 8804?\n\"Answer: -4*s + 8816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -244, 18 in descending order.\nAnswer: 18, -32, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 w when three letters picked without replacement from {n: 7, i: 3, r: 1, w: 1}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24101309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*9\/(-450))\/(4\/(-30))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1109\/9 - -123. Let o = 9.9 - 10. Is o <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 35. Let n be j\/(-9) + (-4)\/18. Solve 6 = -n*v - 5*l, 0 = -2*v + l - 3 - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -30. Let o = -27.999944 + v. What is o rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 163933 and 11?\nAnswer: 163933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/((-776)\/(-4))). Let u = 129 + r. Calculate the smallest common multiple of u and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260148283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -72027.\nAnswer: -72029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451*a - 2760 = 101*a. Sort -3, -4, 5, a, -2.\nAnswer: a, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4783 + -4763. Solve 3*w + n = 4*z, 11*w - 9*w = 5*z - 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:48 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + sqrt(180))*-1 - (sqrt(405) + sqrt(405) + 4*2*sqrt(405) - (2 + sqrt(405) + -2 + sqrt(405) + sqrt(405))))**2.\nAnswer: -990*sqrt(5) + 5670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1646 (base 11) to base 5.\nAnswer: -31412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3073403 and 241792?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2258 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y - 25*y - 2 - 1. Let u = 5 - 8. Is n(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98443.\nAnswer: 98443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58444025.\nAnswer: 5, 2337761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-32)\/p)\/p)**(1\/63)*p**(-3\/7)\/p**32 assuming p is positive.\nAnswer: p**(-2077\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 + 4*v**2 + v + 1. Let w be c(3). What is the units digit of (-206)\/(-14) + (-4)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*77\/(-11). Is h > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 685016\/11 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-3 - (14 - 31)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 533223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 19*k + 48. Let s be j(-3). Solve 2*i - m = s, 0 = 8*m - 12*m - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3301 - 3301 - 3*s + 4*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -194523 divided by 413?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2066 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-120)*-4)\/((-2253)\/67590))\/((-2)\/(-13)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*m - 139 + 3199 = 0 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-292929)\/(-6825) - (0 + (-2)\/25)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 12 = 3*y, -4*x - y = -0*x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.3. Let d be ((-18)\/(-36))\/(2\/(-20)). Which is the biggest value? (a) -75 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(2\/3))**(-28)*(((w\/(w\/(w**8\/w*w)))\/w)\/w*w)\/(w**(-1\/12)*w*w) assuming w is positive.\nAnswer: w**(-835\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38\/7 - 16\/3. Let i = 295 - 295. Which is the biggest value? (a) j (b) -0.4 (c) i (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-21)*7)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Suppose b*y + y = t - 5, t - 4*y - 5 = 0. Suppose -3*n - 30 = -3*d, -5*d - 5*n = -0*n - 30. What is the remainder when d is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337*0.3.\nAnswer: -101.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -138*a**2*t**2 - 206020*a**2 - 12518484*t**2 - 1 wrt a?\nAnswer: -276*a*t**2 - 412040*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 2, 11 in descending order.\nAnswer: 11, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -214390+-240.5651\nAnswer: -214630.5651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -474*p + 11*p**2 + 5*p**2 - 4*p**2 + 2 - 14*p**2 to the form z*p + s + n*p**2 and give z.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b - 4. Let l be w(-8). Let y = -42 + l. Calculate the lowest common multiple of y and 392.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -28, 10, 82, 200, 376?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f - 5 = 0, 0 = -3*d - f - 35. Suppose -173 = -4*w - 145. Let i(b) = -11*b**2 + 11*b**2 - w + b**2 + 9*b. What is i(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2)*(-3)\/(-2). Solve -3*w + 0 + 3 = -3*d, -3*w + 2*d = -y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 7. Let t(u) = 2*u**2 + 5. Let d(l) = 3*l**2 + 7. Let k(q) = n*t(q) + 5*d(q). Determine k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - 9 + 0 - 6*d + 3.\nAnswer: -6*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -8*x**5 - 78*x**4 - 236*x**3 - 240*x**2 - 44*x + 30 = 0.\nAnswer: -5, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 30*q**2 + 37*q**3 - 63*q**2 + 33*q**2 to n*q + l + d*q**2 + y*q**3 and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -16, 0 = 2*a - 7*a + 3*y + 63. Suppose -2*t + 4*v = -4*t + 128, -2*t - v = -119. Calculate the remainder when t is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 350*t - 1057. Calculate x(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by -190?\nAnswer: 83\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -675\/7 - -96. Let n be 14*(-8)\/1008*3\/(-4). Which is the smallest value? (a) -3 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 16. Let x be j(14). Suppose 0 = 4*u + 4*t + 4, 0 = u + 2*u - t + 7. Let a be u\/2 + 8 + -1. Solve -a*o + x*o = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((3*sqrt(204)*-2*5)\/(((sqrt(120) - -6*(-2*sqrt(120) + sqrt(120) - sqrt(120))) + sqrt(120))\/sqrt(10)) + 2))**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 592 (base 13) to base 16\nAnswer: 3c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*q - 142*q - 51*q + 1 - 1 + 2*q + (3 - 2*q - 3)*(1 - 2 + 3).\nAnswer: -158*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -129143778.\nAnswer: 5\/129143778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -981 - -981. Solve 2*u + 6*u = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from qzhhzzhhhhzxhth?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/55)*q*q\/((q*q**(-8\/7))\/q)*q)\/(q**(-27))**(-3\/13))**(22\/7) assuming q is positive.\nAnswer: q**(-21264\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*h - 315 = 0, -5*c - 59 - 271 = h. Put c, -3, -4 in ascending order.\nAnswer: c, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-77)\/(-21) - 4 - 376025\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -1, 4, 1 in ascending order.\nAnswer: -1, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188 + -161. Suppose -5*c + 866 = 26*y - n*y, -182 = -c - 2*y. List the prime factors of c.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c81d - 2b7?\nAnswer: -6cad5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -1124?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 24 = -4*y, -3*y - 25 = -10. Let n(r) = -r + 1. Let g be n(-1). Suppose -2*d = -5*a + 3*a + 504, 0 = -g*a - v*d + 498. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198156 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 20 - 3*v**2 + 7 + (-2 + 2 + v)*(-3*v + 2*v - v) + 4*v**2 - 2*v**2 - 3*v**2 - 2*v**2 + 4*v - 4*v to q + l*v**2 + a*v and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1311*h + 1308*h = 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5961, 14877, 29737, 50541?\nAnswer: 77289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 936*f**2 - f*k**2 - 2*k**2 - 7048*k + 2 wrt f.\nAnswer: 1872*f - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/68 and -69\/1666?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 9 + q + q + q.\nAnswer: -2*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (9 - (-11)\/(66\/(-48))). Let c(m) be the third derivative of 1\/24*m**b + 0 + 1\/240*m**5 - m**2 + 0*m + 1\/48*m**4. Factor c(j).\nAnswer: (j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*a = 6*a + 1, 4*n - 2*a - 22 = 0. Suppose -s = -3*k - 4*s + 15, -26 = -n*k + 2*s. Let j = k - 5. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 135 = -4*b. Let w(g) = 4*g**2 + 4*g - 186. Let u be w(0). Let t = u - -196. Calculate the remainder when b is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -4 - -2 - -2. What is the second derivative of -j*m - m + 6*m - 2*m**2 - 2*m wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1227515?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*i - 247 = 298*i - 115*i + 1303 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v, -w - 3*v - 1 + 7 = 0. Let t be (5 - (w - 0)) + 262. Is ((-6)\/4)\/((-11)\/t) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 204316982\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/216623?\nAnswer: -1\/216623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 11. Suppose -5*h + 3*z + 6 = 0, 5*h - z = z + r. Suppose 8 = h*c + 4*s - 8, 0 = 5*c - 2*s - 18. Solve -4*q - o = -6 + 2, 6 = -5*q - c*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5108*d**2 + 291*d. Let j(l) = -l. Determine i(j(n)).\nAnswer: 5108*n**2 - 291*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 638 = -5*a - 615, -5*a = -10*j - a + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tifhfsjti. What is prob of sequence ts?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euuuuksuxuxkxuuqe. Give prob of picking 1 s, 1 q, 1 x, and 1 e.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 - 12*c + 11. Let q(m) be the second derivative of -m**4\/6 + m**3 - 3*m**2 - 3*m + 39. Determine -6*d(n) - 11*q(n).\nAnswer: -2*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1970478 is divided by 197046.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let r = 14 + x. Suppose -3*l + 3 = -r. Solve 28 = 4*f - 4*m, 2*f - 3*m - 23 + l = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1982*s + 11912. What is k(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**2 - o**2 - o**2 + (3*o - 2*o + 0*o)*(-2*o + 6*o - 2*o) to the form y*o + r + h*o**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 44*b = 594. Suppose -16*n - b = -18*n. Calculate the remainder when 52 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5821620354 to the nearest integer?\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46.1 - -46. Is y at least -0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-9) - 3\/(-9). Calculate the common denominator of 59\/3 and (-103)\/12 + t + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -10, 4 in increasing order.\nAnswer: -10, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 4*g + 3. Let a be m(-2). Let z = -81.302 - -86.302. Put -0.3, z, a in ascending order.\nAnswer: -0.3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(325)*3 + 3)**2 + 5*(3 + 6*sqrt(78)\/sqrt(6)).\nAnswer: 210*sqrt(13) + 2976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7134178*m - 25704 wrt m.\nAnswer: -7134178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268\/695 - 2\/139. Let v be (-2)\/((-2)\/(-1)) - -2. What is the second biggest value in n, v, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21177 at most -296477\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437884 (base 10) to base 9.\nAnswer: 736587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 692950.3 litres in millilitres?\nAnswer: 692950300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203265, -813090, -1829475, -3252420, -5081925, -7317990, -9960615?\nAnswer: -13009800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4891380 by -978276.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -154*h + 0 + 0*h**3 - 23\/6*h**4 + 0*h**2 - 57\/10*h**5. What is the third derivative of o(g) wrt g?\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*o**4 + 176*o**3 + 2*o**2 - 79830*o?\nAnswer: 1116*o**2 + 1056*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-10)*5\/(-2). Let b be 28\/1050*45 + -1. Sort b, -16, o, -4.\nAnswer: -16, -4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.12 + -0.12. Let q = s + 13. Let w = q - 21. Sort w, 4, -3 in ascending order.\nAnswer: w, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945161707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150 - -112) + -6 + 23 + -2 + 60?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:03 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534258714?\nAnswer: 2, 3, 11, 8094829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - (sqrt(1872) + -4 + -5))**2 + -1)*-4 + -1.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w, -5*x + 3*w = -40. Let p be (20\/x)\/((36\/(-16))\/9). Let g(r) = r**2 - 3*r + 1. Let b be g(2). Put p, b, -3 in ascending order.\nAnswer: p, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120178001.\nAnswer: 29, 4144069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388 + 272 + 388 - 1438 - 12*g**3 + 390.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/45073729 and -73\/2056596.\nAnswer: 540884748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, and 1 z when three letters picked without replacement from kksrkkzrkkrjjkzkrsr?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 51. Let z be i\/((-2 - -2) + 1). Solve -3*h + 0 = 2*a - 5, -3*h - z = 5*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1 + j**2 - 5 - 7*j**3 in the form s + l*j + h*j**3 + k*j**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/16 and -53\/3644?\nAnswer: 14576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1766 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*l - 139 = -164*l - 19*g, -3*g + 33 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, r: 7}. What is prob of picking 3 r?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*a = -18, -2*a = 2*l + 8 - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 21 + 35 = 0. Suppose -m - 571 + 128 = 0. Let y = 566 + m. Calculate the remainder when y is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22232426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f**3 - 33*f**3 - 77*f**3 - 61*f**3.\nAnswer: -136*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/93060 and -24\/2585.\nAnswer: 93060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 33. Let y be 0 - (-31 + o\/2). What is the second derivative of -y*v + 20 + 27*v**2 - 16 - 4 wrt v?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*4\/2. Let n be a*-1*(-3 - -2). Calculate the remainder when 1 + n + 44 + -2 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9085677 less than 0?\nAnswer: -9085677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 6, 0 = 33*f - 37*f + 6*q + 1066. Calculate the greatest common divisor of f and 36680.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.8 - 6. Let j be (-2)\/10 + (-6)\/(-15). Let k = 7 + -5. What is the nearest to k in -0.4, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 3 - (-2 + -1) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*x - 15 = 0, 2*o + 3 = 3*o - x. Suppose -l = k - 6 + 312, o*l + 1526 = -5*k. Let q = 431 + k. What are the prime factors of q?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -4*o. What is the remainder when 11 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36424285 to the nearest integer?\nAnswer: 6035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l + 10. What is the least common multiple of a(-2) and 76?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (18 - -36 - 101)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 3*f + 5*f. Let n(r) = -3*r + 1. Let t(h) = n(h) - q(h). Let x(a) = 2*a - 1. Give -3*t(u) - 4*x(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Let j be k(-1). Let q = 2 - j. Solve -1\/5*d**3 + 1\/5*d - 1\/5*d**4 + 1\/5*d**q + 0 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-120)*(12\/2)\/(501\/167).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 1 + 6)*-1. Let x(r) = -2*r**3 - r**2 - 5*r + 7. What is the tens digit of x(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*o + 5*o - c, 24 = -4*o + 4*c. Let u(h) = -h**3 - 2*h**2 - 4*h. What is the remainder when 62 is divided by u(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*k**2 + 50*k**2 - 5085 + 5085 in the form j*k + r + v*k**2 and give v.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/((w*w*w**13)\/w)))**(13\/3))**(3\/16) assuming w is positive.\nAnswer: w**(195\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 2*j - 2, -f - 287*j = -288*j + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2378*m + 759 - 759 + 2377*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 31. Let o be (13\/(-2) + 5)\/((-3)\/16). Let i = 3 + o. What is the remainder when h(0) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*b - 324, 4*b + 4*o - 195 = 109. Calculate the smallest common multiple of 16 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 29*g**2 - 3435*g + 669. Give f(-75).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/23 (b) 4\/13 (c) 168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2095203 and 217998.\nAnswer: 37713654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2296 + 12623*i**2 - 6312*i**2 + 4781*i**6 - 6312*i**2 + 1606*i**6 wrt i?\nAnswer: 766440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178 - -177. What is the third smallest value in -2, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/35 + -11\/7. Which is bigger: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3 + 237*c**2 - 8559*c - 432729 = 0.\nAnswer: -93, -33, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -60 (b) 2\/3 (c) 0 (d) 5 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*v - 6*v**2 + 3\/2*v**3 + 27.\nAnswer: 3*(v - 3)**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24091262 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -79*r**6\/6 - 231*r**2 + 174. Find the second derivative of w(j) wrt j.\nAnswer: -1580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*-2*sqrt(891)*5.\nAnswer: -720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**1*h*h)**(1\/14)\/(h\/h**(1\/4)*h*h\/((h*h**(-7))\/h)))**(-1\/3) assuming h is positive.\nAnswer: h**(87\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 19 + 19)*(5*z - 5*z - 2*z**2).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 1, e: 2, n: 1, q: 1}. Give prob of picking 1 b, 1 e, 1 n, and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2997436?\nAnswer: 2, 13, 59, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1691, -3394, -5097, -6800, -8503, -10206?\n\"Answer: -1703*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.12 and -31.535702492.\nAnswer: -31.415702492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 24 = -b - 8, 5*b + 70 = 5*y. Let f be (-3)\/(y\/(-2)) - 190\/15. Which is greater: -11 or f?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306025021 - 0.1?\nAnswer: -306025021.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.28 rounded to zero decimal places?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 7*o + 11. Let b = 19 + -1. Suppose 0*r + 3*w - 12 = 4*r, r + b = -3*w. List the prime factors of z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166616011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9682 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*a + 2687 - 2689 - 56*a - 50*a + 3*a**3.\nAnswer: 3*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 - 0.7. Let z be (3\/(-6))\/((-2)\/4). Let c be (2 - 0)*6\/28. What is the closest to z in c, v, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oood when four letters picked without replacement from {o: 13, d: 6}?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/5 - 107632*k\/5 - 2896161856\/5 = 0.\nAnswer: -53816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b + 2. What is the remainder when 4\/((-2128)\/13053)*-28 is divided by q(-4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**7 - 4*r**3\/3 - 6. Find the third derivative of j(y) wrt y.\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 - 84. Suppose 7 + 203 = w*o. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 554 divided by -2\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010370259 to five dps.\nAnswer: -0.01037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 + k**2 + 3*k + 1. Let r be u(-1). Let c = 3 + r. Solve -c*s + 3 = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123000 (base 4) to base 2.\nAnswer: -11011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*h - 81. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3684*v - 18440. Determine c(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**8\/840 + 8*l**7\/525 + 11*l**6\/150 + 14*l**5\/75 + 17*l**4\/60 + 4*l**3\/15 + 4*l**2 - 2. Find a such that f(a) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -2, 7, 22?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 2}. What is prob of sequence dd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + ((-12)\/(-9) - (-20)\/15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3.709 (c) -2.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 5*h + 8. Let z = h + 0. Solve z*g - 3*g + 4 = -2*l, 3*l - 3*g = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30, -40, -50, -60?\n\"Answer: -10*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534 - s + 1376 + 2*s.\nAnswer: s + 842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyu when three letters picked without replacement from yeuuueeee?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -1 - sqrt(52)\/sqrt(4)*-4)**2.\nAnswer: -32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27347343 + -11?\nAnswer: -27347354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/8)*k)**(-3\/16) assuming k is positive.\nAnswer: k**(-21\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63468337 rounded to 2 dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 435.\nAnswer: -16\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 9:18 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 139924501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 779*t - 60196. Give u(87).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:10 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -k + 2463, 4*x - 1 + 9 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 0.04042?\nAnswer: 2.95958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/106*((-124806)\/183)\/341?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -1\/6*b**4 + 1\/5*b**5 + 0*b**2 - 1\/3*b**3 + 9*b + 0. Let x be o(2). Solve -x = -4*h, 5*n - 6*h + 2*h - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from dxvradjav?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -655, -1311, -1967, -2623, -3279, -3935?\nAnswer: -4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 843 + -792. Suppose -4*c + 1636 = b + 3*b, -2000 = -5*b + 4*c. Suppose -t + 5*t - b = 0. Calculate the remainder when t is divided by z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nznddnnnnndnzndn. Give prob of picking 1 z and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 46 = -3*r, -r = -0*q + q - 14. Solve 3*m - 7*m - 20 = -2*x, 2*x = 2*m + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.679137.\nAnswer: -0.679137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -210102?\nAnswer: -210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0373*-127.\nAnswer: 4.7371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 15) in base 5?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 3 + sqrt(133)\/sqrt(7) - (sqrt(76) + -3))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8373 and 29.\nAnswer: -8344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*m = 30, 37*x - m + 18 = 33*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 15 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-3\/7)\/w*w))\/w)\/w**(1\/8))**(-2\/7)*w**(4\/11)\/w**(-34) assuming w is positive.\nAnswer: w**(73901\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 0 - 7565\/(-15). Let n = b + -499. Find h such that -n*h - 26\/3*h**2 + 10*h**4 + 22\/3*h**3 - 4\/3 = 0.\nAnswer: -1, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84775, -77542, -65489, -48616, -26923?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243896640.\nAnswer: 2, 5, 7, 73, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95373 or -95245?\nAnswer: -95245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 31 = 5*p - 115, 0 = 5*p + 3*v - 112. What is the lowest common multiple of 22 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6540.96723 plus 26132?\nAnswer: 32672.96723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*z - z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 21*n + 3 = -18*n, 0 = -2*f + n - 1. Factor f + 2\/7*r**4 + 0*r**2 + 0*r - 2\/7*r**3.\nAnswer: 2*r**3*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4064*m - 4498*m = -67270 for m.\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.44 in -0.3, 4, 1, 35\/2, 0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p - 8, -5*v = -4*p - 231. Suppose 0 = -3*h - 3*g + 27, 5*h + 4*g = -0*g + v. Which is smaller: 8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115096082 to the nearest integer?\nAnswer: 10728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1612 and 1249300?\nAnswer: 1249300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96628 - -254915. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*n**4 + 684*n**3 - 4304*n**2 + 1344*n + 2304 = 0. Calculate n.\nAnswer: -4\/7, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*b**3 - 7*b**3 + 8*b**2 + 4*b**3 - 10*b**2.\nAnswer: -85*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**4 - 3*g**4 - g**4)*(2*g + 0*g + 0*g)*(1 + 5 - 2).\nAnswer: 16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/118552 and 23\/464.\nAnswer: 237104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 6*g**2 + 2*g - 9. Suppose -1 = -2*s + 11. Let w be k(s). Find the second derivative of 3*z**2 - 2*z + 6*z - w*z wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.9, -4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0.5, -2.6, 3 in descending order.\nAnswer: 15, 3, 0.5, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 16*h - 67. Let x be g(-9). Is (-104267)\/x - (-2)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 2. Let r be f(-6). Let t(g) = -5*g. Let x be t(-1). Let k = r - x. Which is the nearest to -0.1? (a) k (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5 + 200*c**4 + 6708*c**3 + 76032*c**2 - 6534*c - 862488.\nAnswer: 2*(c - 3)*(c + 4)*(c + 33)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -7*d + 5*d. Let h(w) = -6*w - 4. Let i be h(3). Let l = i - d. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 4*n. Let o be (-1 - -4 - -1) + n. Solve -9*j**2 - j**2 + 49*j**o + 2 - 5*j - 44*j**3 + 8 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1719*w + 240376. What is l(-140)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837047.4mg to tonnes.\nAnswer: 0.0008370474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56 - -564?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0378 + -1.0622. What is the fourth biggest value in -47, -1, 0.5, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31881716 divided by 7970429.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 400?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 11 = -5*a, 0 = -5*a + 2*g - 18 - 1. Let h be 34\/8 - 11\/44. Suppose 6*z - h = 5*z. Put z, -9, a, -1 in descending order.\nAnswer: z, -1, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*v, 5*v = 2*v + 6. Let c = -2 - i. Is (-2)\/c*(-22)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - q + 2. Suppose 4*a + 370 = 14*a. Suppose -2 - a = -13*h. Suppose 3*k + 3*p - 7 = 5*k, -k - 5*p + h = 0. Determine r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -72.2. Let i = a + 2.8. Let h = 20.27 - i. What is h rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7904 is divided by 2633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 832837 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - ((98 - 86) + (-8 + 12 - 114))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m**3 - 6152*m**2 - 47*m - 4196230?\nAnswer: 9*m**2 - 12304*m - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1. Let r(a) = -2*a + 6. Let t(h) = -6*k(h) - r(h). Let l(m) = 4*m**2. Determine t(l(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 26 = 2*i + 10*z, 19 = -i - 2*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 16190*w**2 + 16945*w**2 - 1 - 31938*w**2.\nAnswer: 1197*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1395 - -0.2395. Let g = -3 + 0. Let d be g\/(-36)*16\/6. What is the nearest to d in -2, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do 4508 and 4511 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1084*w**2 - 1195 + 1195 to m*w**2 + y + d*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103.648 - 104. Let g = z - -0.002. Let w = 2.35 + g. Which is the closest to 4? (a) w (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 12:06 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 9.48.\nAnswer: -9.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*u, -7*u + 35 = 5*k - 9*u. Solve -2*y = -2*g + 4, -g - 3 + 5 = -k*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67300 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 591*b**3*u - 27*b**3*x**2 + 2*b**2*u*x**2 - 4*b**2*u - 9*b*u - 19*u*x**2 - 4*u + 9*x**2 wrt b.\nAnswer: 3546*u - 162*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 313 divided by -20160\nAnswer: -313\/20160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119724 and 624?\nAnswer: 6225648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 - 1014 = s. Let w = s + 1225. Factor -18 - 3\/2*l**2 + w*l.\nAnswer: -3*(l - 6)*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.28 (b) 3 (c) 3212 (d) -228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*j*s**5 - 6*j*s**3 - 2*j*s**2 + 5*j*s - 2*s**3 - 4 wrt s.\nAnswer: 2880*j*s**2 - 36*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258418?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/330 and (-7)\/((-4536)\/(-990))*13\/25.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12826723 to the nearest integer?\nAnswer: 3581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 538404936 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429950388 divided by -214975194.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1144*d**3*o**3*x**2 - 2*d**3*o**2*x + 145*d**3*x + 5*d*x**2 wrt o.\nAnswer: -6864*d**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8395 - -13036. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372*t + 4852 - 5423 = -14291 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -62.9883. What is b rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -v + m, 0 = 4*v + 4*m + 2 - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7764259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 333.45 times 0.2\nAnswer: 66.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684) - (sqrt(684) + -2*sqrt(684) + sqrt(684)))\/sqrt(12))\/sqrt(3))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 48665819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 187782714 to the power of 1\/3, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*4\/(-8) + 3. Let a(g) = -g - 4. Calculate a(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/24 - 2*i**3\/3 - 6*i**2. Let k be m(3). What is the units digit of (-1)\/k - (-60 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 17235087?\nAnswer: -7\/17235087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 518, 778, 1038?\nAnswer: 1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*n + 21 + 5, -t = 4*n - 2. Let l(v) = 3*v + t - 10. Let z(x) = -2*x. Determine l(z(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 512396?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdkoktdktm. Give prob of picking 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (26 + -11 - 3 - (-2 + 42))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118.7 + 0.3. Let y = f + -118. Let b = 4 + -4.9. What is the second smallest value in y, b, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01373 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1314455 + 1314463 - 2628918 - 9*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*y + 12, -4*f + 713 = -4*y + 701 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (3 - (2 + 0)). List the prime factors of (2\/(-4))\/((u + -4)\/204).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107910 is divided by 218.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a0 (base 13) in base 7?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/32? (a) 0 (b) 0.4 (c) 20\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(-2*sqrt(208)*-6 + sqrt(208) + -1))**2.\nAnswer: -936*sqrt(13) + 316377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 8.1 (c) 1 (d) 0.4 (e) 9\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 7*r**4\/24 - 2*r**3\/3 + 56*r**2. Let u = -453 - -452. Let w(p) = -p + 1. Calculate u*o(l) - 5*w(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(-12\/11)*u**(-2\/3)*(u**9\/u*u)\/u assuming u is positive.\nAnswer: u**(170\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4430 - -101?\nAnswer: 4531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*h + 70*h = -10. Solve i + 5*y = 2 - 5, -3*i = y - h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3476*i*p**3 - 2*i*p**2 - 20997*i + 6*p**3 wrt p?\nAnswer: 20856*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -18*r + 1 + 2 + 2064*r**2 - 2065*r**2 - 2. Suppose -v = 3*t - 5*v + 63, -42 = 3*t + 3*v. Let s be q(t). Are s and 17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 2777545*g + 2777545*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 187 - 34*h + 111.\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1457*c. Let i(y) = -2*y**2 + 3*y. Let u(w) = 41*w**2 - 63*w. Let l(t) = -42*i(t) - 2*u(t). Give l(h(j)).\nAnswer: 4245698*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 12:40 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwrl when four letters picked without replacement from rqqqlqqqwkkwwq?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + (sqrt(5) + 2)*1 - (sqrt(120)\/sqrt(3)*-5)\/sqrt(8))**2.\nAnswer: -36*sqrt(5) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f + 50 = -4*u + 35*f - 89*f, 3*f + 4 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 20 = 0, -l = 4*l + 3*i - 43. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 4*z**4 - 3*z**2 + 1 + 4*z**2)*(-2 + 1 - 1)*(-2 + 2 - 3)*(-3 - 6 - 2).\nAnswer: 264*z**4 - 66*z**2 - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550963664.\nAnswer: 2, 34435229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 10*u**2 + 9*u - 39. Let n be a(10). What is the highest common divisor of n and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 16 = 5*h. Calculate the highest common factor of 16 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*a - 30 = 0, -4*q + 4*a = 9*a + 65. Let k = q - -27. Suppose k*r = 12*r + 1255. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/12)\/(7\/(-28)). List the prime factors of ((-3)\/(-18) - (-863)\/6) + n.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24\/59 - 4805\/354. Calculate the common denominator of l and 41\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 m when three letters picked without replacement from {m: 2, f: 8, n: 5, j: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 363, -1, -141.\nAnswer: -141, -1, 4, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 1:12 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*8527.944.\nAnswer: -341.11776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*c - 1380 = 20*c + 5435 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4363163 (base 7) to base 5.\nAnswer: -114132141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 200 - 215 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 17.\nAnswer: -25\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 8*v = -36616. Suppose 0 = 16*a - v + 1665. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 28*b + 217. Let k be m(-8). Let t(z) = -z + 1. Let f(h) = -4*h - 8. Let w(v) = f(v) - 3*t(v). Let x be w(-5). Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a**2 - 30*a - 2. Let f be b(-12). Suppose 5*k = 5*d + f, -k - d + 287 = d. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 0. Solve h - 2*i = -8, h - 2*i - 4 = d*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -34?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 15*b**5 - 26147*b**4 - 206379*b**3 - 418373*b**2 - 203136*b + 35020 = 0.\nAnswer: -5, -2, -1, 2\/15, 1751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 611336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -4. Let b = 2 + d. Suppose -b*q + 1696 = 5*q. What are the prime factors of q?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 1. Suppose -2*t + 0*t + 2 = 0. Let s be k(t). Suppose s*i = 17 + 21. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (333\/14 + 16\/(-56))*6. Suppose 5*w - m = 4*m + 205, 3*m - r = -3*w. What is the smallest common multiple of w and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from chpccssschh.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/20)\/(7\/(-28)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:48 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -1.06?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 630451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.8 + 9.3. Which is the closest to 3? (a) w (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*s - 27, -4*s + a = -0*s + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + i = 2*z - 2, 0 = -5*z - i - 2. Let v = -193426501\/3111460792 + 3\/1118024. Let p = v - 3\/121. Which is the closest to 0.3? (a) z (b) p (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t**4\/13 - 332*t**3\/13 + 810*t**2\/13 - 568*t\/13 + 8 = 0.\nAnswer: -26, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -18 + (1 - -2) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 37 + 33 = -94 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a micrometer in nanometers?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*g = 93*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 3*f**2 - 2*f - 3. Let d be z(-3). What is the first derivative of -23*h**3 + 55 + 1 + 5*h**2 + 40*h**3 - 22*h**d wrt h?\nAnswer: -15*h**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1438, 1135.\nAnswer: -1438, -5, 1135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 14*p**2 + 13*p + 4. Let w be g(-16). Suppose -5932 = -13*o + w. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**10)\/((p**(-21)*p*p)\/p)*(p*p**2)\/(p\/p**(4\/13)))**(1\/5) assuming p is positive.\nAnswer: p**(433\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52*w**3 + 65*w**3 + 72*w**3)*(4 + 5 - 4 + (0 + 2 - 1)*(2 + 2 - 3) - 2 + 0 + 0 + (2 - 3 + 0)*(0 - 3 - 2)) as m*w + n*w**2 + x*w**3 + v and give x.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14414 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-16)\/56)\/((-60)\/(-21))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19566 - -25813. List the prime factors of p.\nAnswer: 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**4\/24 + 3*z**3 - 51*z**2. Let g be m(2). What is the highest common divisor of g and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*s = 0, -4*y - 18*s + 13*s - 40 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*p + 737*p - 65065 = 0 for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -0.2. Let d be 45\/51 - 4\/4. Put 3, p, d in descending order.\nAnswer: 3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (1 - 2) + -2. Let q = -5 - b. Is (4 + -81)*1\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-310)\/(-1612)*4680\/(-400)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + x + 1. Calculate s(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**7\/168 + 13*a**6\/120 - 29*a**5\/40 + 53*a**4\/24 - 85*a**3\/24 + 25*a**2\/8 - 53*a. Find u, given that l(u) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 2*g**2 - 5*g - 4. Let d(v) = -v - 10. Let t be d(-7). What is the units digit of u(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 25*g**2 - 4154*g - 4313933. Let c(u) = -13*u**2 + 2. Let o(l) = 10*c(l) + 5*n(l). Let o(h) = 0. Calculate h.\nAnswer: -2077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1606 (base 9) to base 15\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -28. Suppose -16*n + 3150 = w*n. What is the remainder when n is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 50. Let k(z) = 15*z**2 + 2*z + 1. Let a be k(-1). Let u = a - 10. Solve -2*l = u*r - p*r - 13, -l + 4 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(1331))**2*-2 - sqrt(1331)) + (-4*(sqrt(1331) - (1 + sqrt(1331) + 1)))**2.\nAnswer: -10581 - 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -1 + -1 + 2 - sqrt(209)\/((-1*sqrt(33))\/sqrt(3)) - ((1*sqrt(114) - sqrt(114))*-6)\/(sqrt(144)\/sqrt(6)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f - 7. Let b be ((-24)\/14)\/((-1)\/f). Let a be (b\/8)\/(6\/(-28)). Solve -a = -5*p - 27 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000110111110111 (base 2) to base 10.\nAnswer: 69111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -96, -70, -40, -6, 32, 74, 120?\n\"Answer: 2*f**2 + 20*f - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 16) in base 6?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**(-2\/29)*p))\/(p**(1\/6)*p*p))**(-18)*((p\/(p*p**(-2\/7)))\/p*p*p*p*p*p**6\/p)\/(p\/(p\/(p**(-2\/5)\/p))*p*p)**17 assuming p is positive.\nAnswer: p**(18112\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4*g**2 - 4*g + 1. Is n(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 113.99999926. Round l to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100589 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10790 = -18*s - 998. Let x = s - 542. Solve -1 - x = -m - n, 4*m - 11 = -3*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 3*a + 9. Suppose -3*f + 1 - 13 = 0. Let q be n(f). Suppose -q*x + 339 = -2*p, -4*x + 411 = -p + 138. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04445 - 59.145609?\nAnswer: -59.190059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 869?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 13*j + 5*m = 385, 0 = -3*j - 4*m + 574. What is the least common multiple of 4 and j?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176368 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-1 + 2 - 3)*(-g + 3*g + 0*g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1664)\/2080)\/((-7)\/5 - -1). Let -2\/17*x + 0*x**z + 2\/17*x**3 + 0 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 303702830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1516*y = -56*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265096317.\nAnswer: 3, 17, 5197967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 874200 divided by -310?\nAnswer: -2820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1090 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/88602 and -48\/5035547.\nAnswer: 30213282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -1. Which is the closest to f? (a) -1 (b) -3\/4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((4*-1*sqrt(144))\/sqrt(12))\/((3*sqrt(726) - sqrt(726))*3).\nAnswer: -4 - 2*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 27163410934?\nAnswer: 27163410926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/36)\/((-2)\/(-9)). Let g(m) = 2*m - 11. Let j(k) = 2*k - 10. Let o(u) = x*g(u) + 4*j(u). Let r be o(7). Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/10 + (-2)\/5. What is the remainder when 134 is divided by (d + 1 + 68)*17\/34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5 = -114*z + 110*z, -3*q + 25 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006101 is divided by 335367?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*a + 141*a = -5*z + 14, 5*a + 9 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**4\/4 - d**3\/3 - 3*d**2\/2 - d + 47. Determine h(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 6*u = 3*n - 14 - 12, 3*u + 3*n = 1 + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*q + 34, -11*p - q + 39 = -7*p. Let c(g) = g - 1. Calculate the remainder when p is divided by c(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3878 and 650104?\nAnswer: 180078808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j - 4*g, -11*j = -6*j - 5*g - 35. Suppose -8*p + 36 = -5*p. Calculate the least common multiple of p and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 1\/4, 0, -1262 in ascending order.\nAnswer: -1262, -0.07, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -843 - -842.9. Which is the nearest to -2\/33? (a) -1 (b) 1 (c) 1\/2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33248\/35 - 950. Let s(g) = g**2 - 8*g - 645. Let v be s(0). Let k = -646 - v. Is k at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-17))\/((-138)\/(-92)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-9)\/(0 - -3). Let s be 2 + m\/1 - 4. Sort -3, s, 5 in decreasing order.\nAnswer: 5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 386480\nAnswer: -386490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189366 is divided by 351.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/9072*24*399?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4454 (base 9) to base 11.\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 31*u**4\/12 + 4*u - 6. Let x(n) = -2*n. Determine s(x(y)).\nAnswer: 124*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n**2. Let g be p(1). Suppose q + 12 = 5*x, -4*q + 3*x + 3 = -g*q. Suppose -q*m = t - 17, t = -t - 2. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2. Let s(d) = 4*d + 16. Let k(c) = s(c) - 8*w(c). Let u(m) be the second derivative of 0 + m + 0*m**2 + 1\/3*m**4 + 0*m**3. What is k(u(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 9*y**2 + 532*y + 72. Let v be n(-28). Solve v = -2*m + 20*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 3141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4\/2 - 210*z**3 - 7137*z**2 + 14910*z - 15123\/2 = 0. Calculate z.\nAnswer: -71, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13\/2 + 41\/6. Sort 2\/9, 2, n, 0.3 in decreasing order.\nAnswer: 2, n, 0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 2\/21, 0.4, -4 in ascending order.\nAnswer: -49, -4, 2\/21, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/42 + (-4)\/42*-6. Let d = 4 + 2. Let q be (4\/3)\/((-2)\/d). What is the second smallest value in q, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(-130)\/12*2*1. Calculate the highest common divisor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02497, 1, 8\/5, -1 in descending order.\nAnswer: 8\/5, 1, 0.02497, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + 11*o**2 - 3*o - 6. Let g = 144 + -139. Let x be u(g). Let k = 5 + -5.5. Put k, -13, x in ascending order.\nAnswer: -13, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 0*h - r - 8 = 0, h - 4*r + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2738 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-1)\/(-2) + 0. Let j(g) = -g**3 - 2*g**2 - g + 4. Let n be j(q). Solve -a = -5*a - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -d - 17, 0 = 4*d - x + 51. Let k be (d\/((75\/10)\/5))\/(-2). Calculate the greatest common divisor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 9*l**3 - 2*l + 5*l**3 - 12*l**3 to f + x*l**2 + j*l + p*l**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*(sqrt(70) - (sqrt(70) + (sqrt(70)*1 - sqrt(70))))\/sqrt(10)*2 - ((sqrt(700) + -2 + sqrt(700))*5)**2).\nAnswer: -70096 + 2000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 43*i**3 - 4*i**2 + 4*i - 8. Calculate the remainder when u(2) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1097\/15 - 364\/5. Factor -1\/3*c + p*c**2 + 0.\nAnswer: c*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63955 is divided by 592.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5\/5 + 3893*t**4\/10 + 9223*t**3\/2 + 88546*t**2\/5 + 102472*t\/5 - 6304 = 0.\nAnswer: -4, 1\/4, 985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -117 (c) 1\/10 (d) 2\/409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1110*h - 953. Is p(-31) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6093913?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 113?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-2)\/sqrt(12) + sqrt(2448) + 1 + sqrt(2448) + (sqrt(51) - (1*sqrt(4131) + sqrt(51)))\/((sqrt(3) + 2*sqrt(3))*5).\nAnswer: 1 + 107*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 231 = -r, 0 = 5*r - 3*q - 279 - 912. Let n = 243 - r. Suppose 2*b = 4*w - b - 66, 4*b = 8. What is the greatest common divisor of w and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 1:11 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {q: 2, w: 3, f: 12}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + -27 + 99 + (-20 - 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 30 = -5*o, 7*r - 2*o = 2*r + 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-231)\/2618)\/((-6)\/4). Which is the nearest to j? (a) 3 (b) -0.5 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/189794115 and -26\/735.\nAnswer: 1328558805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*j + 1399*j = -4453*j - 516660 for j.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 + -3. Let s = 2 + -1.98. Let x = -23\/9 - -55\/18. What is the second smallest value in l, x, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 5482\nAnswer: -104158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*l - 1993, -5*a + 5*l = -2*a - 1171. Let w = a + 65. What are the prime factors of w?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 269*i + 1997. What is o(-7)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*z + 2*c, -2*c - 3 = z + 5. Let f be 3\/((-6)\/4) + z. Let i(b) = -1. Suppose -6 + 7 = -y. Let g(k) = 2*k**2 + 4. Calculate f*i(q) + y*g(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q + 3. Let o be m(-2). Let a = -112 + 114. Let d(s) = -2*s**2 + 9*s - 13. Let u be d(a). Sort -13\/6, o, u in ascending order.\nAnswer: o, u, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -94, 11, -2, 4, 5 in decreasing order.\nAnswer: 11, 5, 4, -2, -5, -13, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (4 - (-5 + 4 - (4 + -6)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 24 = -5*o, -374*o - 3 = f - 369*o - 19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 2, t: 3}. What is prob of sequence kt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 190, 191, 190?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2204 + -17539\/8. What is the common denominator of (-2)\/(-4) + (-522)\/216 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - w + 1)*(2 - 7 - 4) - 130 + 130 + 29*w + 2*w + 0 + 0.\nAnswer: 40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/2112)\/(72\/(-132)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f + 3 - 3)*(0*f + 0*f - 2*f) - f**2 - 2*f**2 + 0*f**2)*(0*f + f**3 + 0*f).\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -185.2 and -0.01627.\nAnswer: -185.21627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -432 + 630. Suppose 4*a + 14 = p. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s + 15. Let c be j(-6). Let p = -6 - c. Do 3 and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 741, 1665, 2969, 4659, 6741, 9221?\nAnswer: 12105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -35283 in increasing order.\nAnswer: -35283, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -321045 divided by -64209?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/2 (b) 0.7 (c) 74\/5 (d) -5\/2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -245002*z**2 + 191212 with respect to z.\nAnswer: -490004*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 7?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.4 (b) -0.1 (c) 169 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(8624\/(-132))\/49?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43044 and 1700.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z**2 - z)*(4*z**2 + 2*z**2 - 3*z**2) + 2*z**4 + z - z + 2 + z**4 - 2*z**3 - 2.\nAnswer: -3*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-6)\/36*0. Let w be (-27)\/21*-1 - 1. Which is the second biggest value? (a) w (b) 2\/13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 514 + -514.1. Let b = -4 - -2. Put b, 5, d in decreasing order.\nAnswer: 5, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14855*x. Let d(y) = 3*y. What is d(k(t))?\nAnswer: -44565*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7381 and 1298?\nAnswer: 3554.0538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5865 is divided by 1955.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3594484.8 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l. Suppose -5*t = -b + 22, -5*b + 13 = -2*t - 5. Let z = t + 21\/5. Which is bigger: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 427404, 1 in decreasing order.\nAnswer: 427404, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/6)\/(x\/(x**(2\/17)\/x)))\/(x**(-6))**(-37))**(-23) assuming x is positive.\nAnswer: x**(527183\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 5341?\nAnswer: 5344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -175*z + 11. Let t be a(-2). Let o = -218 + t. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -761 divided by 292?\nAnswer: -761\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 852.35, 3, 2\/211 in increasing order.\nAnswer: 2\/211, 3, 852.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(8\/32*2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 11. Let h(a) = 4*a**3 + 48*a**2 + 2*a + 24. Let l be h(-12). Determine q(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 3, a: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52134.1 and -0.2?\nAnswer: -10426.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3.9 (b) -15 (c) 3\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2) + 3\/7. Let y = 0.839 + -1.339. Put 2\/3, a, y in decreasing order.\nAnswer: 2\/3, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 + 38*t**2 - 12*t**2.\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 425 + 208 = -58*b + 786 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2837 - 116335\/41. Which is the smallest value? (a) 1\/8 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1267 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.0258, -3, 2, 5 in descending order.\nAnswer: 5, 2, 0.2, -0.0258, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2589981109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 614812993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 6. Let l be d(5). Let v(s) = 30*s - 37*s - 8 + 3. Does 6 divide v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10727 + 7215 - 12059 = -21*d + 180*d for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 704*d**5 - 4*d**4 - 1331*d**3 + 205812557*d**2?\nAnswer: 42240*d**2 - 96*d - 7986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 19, 14, 5, -8, -25?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 831799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 1131 = 167*s. Let t = -4 + 3. Sort t, -5, s in increasing order.\nAnswer: -5, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 125.1418 milliseconds?\nAnswer: 125141.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 242920.6 years in millennia?\nAnswer: 242.9206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) + (36\/(-15))\/(-4). Let c(m) be the second derivative of -4*m**3\/3 + m**2\/2 + 2*m. Give c(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/5 + 208*b\/5 - 2704\/5.\nAnswer: -4*(b - 26)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 20 = x. Let c = x - -24. Solve -a = 3*v - c, -4 = -v - 3*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6054199999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, y: 9}. What is prob of sequence ywyw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/99 - (-2)\/3*3010. Suppose 4*c - 1217 = d. What are the prime factors of c?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -84808, -85207, -85610, -86017?\n\"Answer: -2*g**2 - 393*g - 84413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 2:06 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3\/14)*w)\/w)\/w**(-4\/7))**(-18)*w**(-2\/21)\/w**(-1\/3)*(w\/(w\/(w\/((w*w**(-2\/11))\/w*w))))\/((w*w**(4\/3))\/w*w*w) assuming w is positive.\nAnswer: w**(-2158\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (19 - (24 + -15))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -52*1327\/1 + 4. Round u to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -130, -300, -538, -844, -1218?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -42*n - 2. Let d = 10035 + -10030. Let j(t) = 43*t + 2. Give d*q(l) + 6*j(l).\nAnswer: 48*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -40*m**2 - 3*m + 3. Determine y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 168, 251, 334, 417?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 29812, 1357 in increasing order.\nAnswer: 6, 1357, 29812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44872 to three dps.\nAnswer: -0.449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-14) - (-15)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2653.\nAnswer: -1\/2653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -15, 0 = -p + 5*b - 0*b - 23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 0*h - 13*n - 680 = -14*n - 736, -4*h + 3*n - 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8476*a**2 - 1195*a + 3. Is b(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.220049537 to three decimal places.\nAnswer: -7.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 f, and 1 m when four letters picked without replacement from ffffffyffffmffffff.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 65 = 105. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15248 + -15249. Put -2, h, 0, -378 in descending order.\nAnswer: 0, h, -2, -378","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187 - 24. Let i = 25379 - 25216.91. Let f = d - i. What is f rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**2\/2 + 7*j + 3. Suppose -2*i + 0*f + 8 = 4*f, 0 = -i + 3*f - 21. Let c be d(i). Put c, 4, -2 in descending order.\nAnswer: 4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.747 from 8.7.\nAnswer: 7.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from -176.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 2*c. Let z be x(-4). Let n be 1\/2*17 + 0. Let a = z - n. What is the closest to 0 in 4, a, -4\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 4, z: 3, w: 2, l: 1, d: 2}. What is prob of picking 1 w, 1 q, and 1 j?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-6) - (-76)\/(-38))*(1 + -25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-13) - (-296)\/104. Let w be ((-2)\/(-4))\/(3\/18). Let f(l) = -w*l**2 + 2*l**2 - l + 4 + 4*l. Determine f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (39 + 25) - -28\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - -2) + 0 + (38 - -1) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12123011201 (base 4) to base 5\nAnswer: -412340214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6781210162.849998941 - -6781210148. Let i = l + 14.85. Round i to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = 3. Suppose -s = j*s + 12. Let w be s\/3 - (1 - 2). Solve -2 = -3*o + 3*i - 11, 3*i + 6 = w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1 + (-7 - -5). Let h be (d\/6)\/((-18)\/81). Suppose -4*x - 2*g + 36 = 0, -h*x + 2*x - 5*g + 9 = 0. Solve 2*w + w = -x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 8*m - 1708 = 4*x, 3*x - 2553 = 3*m. Let y be (-4 - -7)\/(-12)*32\/m. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 - 317*d**4 - 849*d**3 - 595*d**2 + 64*d + 132 = 0. What is d?\nAnswer: -1, 2\/5, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 16*i**2 + 7 + 1 + 11 to z*i + m + l*i**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(20)\/sqrt(4)*5)*-5 - ((sqrt(200) + 1 + 0)*-2)**2.\nAnswer: -804 - 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087968 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b**(14\/11)\/b)))\/b**(1\/10))\/(b**(18\/5)\/b**(-3\/4)))**(7\/6) assuming b is positive.\nAnswer: b**(-6433\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Suppose -5*n + v*n + 48 = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1 + 7*n**2 + 1. Let r be 1*(0 + 4 + -3). What is the units digit of o(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nonnnnnonnonnnnnoo?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 894*j**5 - 51*j**4 - 36270*j**2 - 16?\nAnswer: 53640*j**2 - 1224*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2398357427.\nAnswer: 37, 64820471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-525054)\/(-8)*20*(-9)\/(-135) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1)\/14)*((-192)\/84)\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/30 + o**4\/12 + 3*o**2\/2 + 2*o. Let r(t) be the first derivative of w(t). Factor r(h).\nAnswer: 2*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*l - 5 = -8*b, -2*b - 3*l + 17 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20725.00033502 + -20725. Round r to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(277530\/232)*15\/(-2)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -18*z - 349. Let g(q) = 14*q + 349. Give 4*a(b) + 5*g(b).\nAnswer: -2*b + 349","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Suppose l = -2*u + 6, q*u + 9*l - 4*l - 20 = 0. Solve -3 = -u*o + o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (6\/(-9))\/((-4)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 8. Let l be t(6). Suppose 15 = l*s + s, -c - 4*s = -46. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -26 + 31 + (-2 - 2). Let o(c) = 19*c + g - 17*c - 3*c. Calculate o(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53440?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**6\/24 + q**5\/20 + q**4\/8 - 3*q**3\/2 - 33*q**2. Is a(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:36 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 28*f**2 + 5 + 1304601*f - 1304601*f. Let x(i) = -i**2 - 3. Let o(r) = 4*r**2 + 11. Let w(t) = -6*o(t) - 22*x(t). What is w(g(a))?\nAnswer: -1568*a**4 - 560*a**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, -251 in descending order.\nAnswer: -2, -10, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166797321 by 55599107.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202 - -1?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(936)*-1)\/(sqrt(2) - (sqrt(20)\/(sqrt(10)*1) + sqrt(2))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (3 - 4)) + 57 + -52\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -505 + 106?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 1\/6*v**4 - 1\/120*v**5 + 0*v**3 + 0*v**2 - 2*v - 1\/360*v**6 + 0. Let u(a) be the third derivative of w(a). What is u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 3693733?\nAnswer: -3693735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-7)\/14)\/(3\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 - 2*o + 2. Let x be l(-5). What is the greatest common divisor of 108 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/161 - 90\/(-350). What is the fifth smallest value in 0, -5, -2\/13, -68, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 - 4*s**2 - 8*s**2 + 36*s - 36*s**2 + 136.\nAnswer: -48*s**2 + 36*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 10, 24, 42, 64?\n\"Answer: 2*m**2 + 4*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -5*o + 11, 2*o = 4*v - 2*o + 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -376, 0, -146, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*v - 6*v. List the prime factors of 4*v*(2 + -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f**2 + 15*f - 13. Let q(k) = -12*k**2 + 16*k - 12. Let y(c) = 4*g(c) - 5*q(c). Factor y(w).\nAnswer: 4*(w - 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71\/(-3) + (-418 - -441)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1004*n = 1041*n - 5034035. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 106 = -3*t + 39, 0 = 2*q + 4. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -321752*b**6*d - 18*b**5*d - 4*b**2*d - 3*b*d - 4*b - 21*d + 464 wrt b.\nAnswer: -38610240*b**3*d - 1080*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, -990678, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 36. Let j(u) = u - 6. Let z be j(x). Suppose -2*g - 2*o = -8, 4*g - 2*o - 8 = -4*o. Which is the closest to 0.2? (a) g (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37404 is divided by 1069.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 1)*7\/(56\/60). Let q be (21\/5 - 3)\/(6\/x). Suppose -4*b = q*k - 281, b - 101 = 4*k - 26. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9017c1 (base 13) to base 10.\nAnswer: 3345174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 27*s + 5*s - s + 0 + 0 + 3*s - s + 0*s + (1 - 1 + s)*(4 - 4 + 1) + 1 - 1 + 2*s)*(-3*s**3 + 2*s**3 - s**3).\nAnswer: -62*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 2 + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67542\/121 or 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(180) + sqrt(20))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12)**(-1\/22)*p**(-16)\/(p\/(p*p*p**(-30)\/p*p*p)*p) assuming p is positive.\nAnswer: p**(-501\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20628614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/67165 and -97\/14?\nAnswer: 134330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 6 + 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/13 (b) -14 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2407, -2416, -2439, -2482, -2551?\nAnswer: -2652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2714672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3 = -3*g, -w - 2 = 5*g - 5*w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*i**2 + 129*i**2 - 52*i**2)*(-3*i + i + 0*i)*(4 - 1 - 1).\nAnswer: -56*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 133627895697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 216904 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t**2 - 2*t. Let j(x) = 2*x + 4*x - 10*x + 3*x. Give n(j(h)).\nAnswer: 13*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (4 - 3 - -93) + 313 + -324?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -20*i + 3289. Suppose 394 = -5*k + i. List the prime factors of k.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29869849.\nAnswer: 139, 214891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 - 151 = 32*s + 39*s + 1144 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*v + 112*v = 104. What is the highest common divisor of 1118 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k - 78. Let j be f(-13). What is the third biggest value in j, -3, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 621.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84729984 divided by -12.\nAnswer: 7060832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 0*j**2 + j**2 + 0*j - 34. Suppose 4*c - 56 = 4*y, 376*c - 1 = 375*c. Does 20 divide o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3 + 68*s**2 - 7*s. Let j be k(-11). Solve -4*z = -62 + j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 11*w + 14. Let t be r(14). Let h be 7\/t - 1\/136. What is the third smallest value in h, -2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a1a4 (base 15) in base 3?\nAnswer: 20212201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 44*c - 61. What is the remainder when 9641 is divided by g(-19)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 754 = 2*x + 6095, 0 = n + x - 1071. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 2, m: 3, b: 1}. What is prob of picking 1 q and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*d + 29, -u = -0*u - 3*d - 11. Calculate the highest common divisor of u and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0206 + -0.0794. What is the nearest to -0.1 in j, 0.2, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 3*u - 45. Let d be i(8). Calculate the highest common divisor of 473 and d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*s**2 - 40\/3 + 4*s.\nAnswer: 4*(s - 2)*(s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*r + 4*r - 13, 0 = -4*h - 4*r - 20. Which is the nearest to 1? (a) -1 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n + 1. Suppose 47*g + 59 + 82 = 0. Let c(o) = 56*o + 6. Give g*c(y) + 16*r(y).\nAnswer: 8*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130002 - 1?\nAnswer: 130001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 443624565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 3\/61, -3 in increasing order.\nAnswer: -3, -1, 3\/61, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (120\/1680)\/((-2)\/(-16)*-2). Let y = -9 + 5. Which is the closest to y? (a) 3 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 68, 83, 98, 113, 128?\n\"Answer: 15*v + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*1*sqrt(133)*1)\/(sqrt(189)\/(sqrt(3) + sqrt(48)) + -2*sqrt(567)).\nAnswer: -40*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 996 + -992. Let y = 7 + -2. Is y < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1429 - -1429.08. Let n = 152 - 151.5. What is the smallest value in -3, n, v, 1\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 3*t**3 - 4*t**3 + 10 + 11*t + 6*t**2. What is the tens digit of w(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*w - 2*w. Suppose -17*k + 24*k - 217 = w. Sort -4, 5, k in descending order.\nAnswer: k, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 400\/99 - 38\/9. Let i = -0.17 - 0.03. What is the smallest value in a, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-13 - (-18 - -20))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*n**2\/11 + 4*n\/11 = 0. What is n?\nAnswer: 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*c + 2 - 6, 5*c = -3*t - 2. What is the units digit of 1\/1 + 114\/t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/(-6))\/(-5)*2\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x - 105. Calculate d(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*x + 7. Let t(v) = 3*v**2 + 2*v + 7. Let y(k) = -k**2 + k - 1. Let h(n) = x*y(n) + t(n). Let i be h(-5). Solve 4*j + 2 = -i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 1367\/37?\nAnswer: 1367\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t - 32*t = 31*t - 114. Let z(m) = 399*m**3 + 95*m**2 + 95*m. Let g(q) = 25*q**3 + 6*q**2 + 6*q. What is t*z(s) - 95*g(s)?\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*c - 41 = 40*c - 233 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156072214 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwwwrwrwrwwrrwrrr. What is prob of picking 2 w?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 118*b - 5*b**3 + 3*b**3 + 119*b to p*b**3 + q*b**2 + x + j*b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 69977 = 5*i, -4*i + 3*p - 17237 + 73201 = 0. What are the prime factors of i?\nAnswer: 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12 - 1384*u + 10.\nAnswer: -1384*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/48 in 0.2, 1\/39, 5, -5, -4?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12*f**3 + 2*f**2 - 4*f + 4. Give z(2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 7*d**2 + 0 + 1\/12*d**4 + 1\/60*d**5 + 0*d - 1\/2*d**3. Let c be m(-4). Solve f + c = 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0305 and 8.\nAnswer: 7.9695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*s + 36 = 148*s. Let o(t) = 5*t**3 - 3*t**2 + 42. Let w(j) = 4*j**3 - 2*j**2 + 41. Calculate s*o(f) + 4*w(f).\nAnswer: f**3 + f**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -8*f**2 - 7*f + 33. What is the first derivative of n(q) wrt q?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1624\/2 + 0)*(-25)\/(-50). Let c(k) = 435*k**2 - l*k**2 + 0*k + 0*k. Let f(z) = -2*z. Determine f(c(d)).\nAnswer: -58*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15*(0 + 3\/9). Suppose 0 = 4*j + 2*k + 76, -4*j - y*k - 100 = -24. Let t = 28 + j. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*v = -2*v + 1, 3*f + 5*v + 11 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a millennium?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 12*k - 15. Let p be g(-10). Let r = 31 - 16. What is the highest common factor of p and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27308 + -27308. Solve r = -2*m + 125 - 123 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121050986 to the power of 1\/3, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -25, -0.039, -2, -19, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95.3 - -91. Let u = -3.81 - i. Let o = u + -4.79. Round o to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422994 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 861724771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474719706 to the power of 1\/2, to the nearest integer?\nAnswer: 38402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5470, 5467, 5466, 5467, 5470, 5475, 5482?\nAnswer: 5491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2. Let r(i) = 438154*i**2 - 1147*i + 4588. Let l(f) = -1147*f**2 + 3*f - 12. Let s(x) = 1147*l(x) + 3*r(x). Calculate s(t(b)).\nAnswer: -4588*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176533 + 176533 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 9*f + 5. Let u = 151 - 148. Suppose -2 = -u*d - 5*g + g, 3*d = 5*g + 38. Determine n(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*1 + 2)**2.\nAnswer: 28*sqrt(3) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, i: 4, g: 2, z: 3, h: 3}. What is prob of sequence igg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 1\/3591, -15?\nAnswer: 1\/3591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13222311 (base 4) to base 7\nAnswer: 160404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -6967c?\nAnswer: 69680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:28 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2552\/163 bigger than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccst when four letters picked without replacement from {c: 5, t: 2, s: 1, p: 1}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 23*i - 6. Calculate o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 9*b + 13. Let a be q(-10). Suppose -221 = -a*z - 44. Suppose 2*h = h + z. List the prime factors of h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 13) to base 10.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2413 + -1755. What is the highest common divisor of 42 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - 3*u**2 + 2*u**2 - 3 in the form t*u**2 + p + f*u and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 6*h**2 - 9*h - 11. Determine m(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m + 12. Calculate the highest common divisor of 76 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 3 (b) 1 (c) -0.2 (d) -0.01 (e) 10\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16548)\/33 - 2) + 1. Let t = j + 503. Sort 1\/3, t, -1\/8 in ascending order.\nAnswer: -1\/8, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 14*n - 385. Let j = n - -69. Let k be (-2)\/8*12\/j. Which is the biggest value? (a) 1\/2 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((-9)\/(-3) + 4 - 7) + 19\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 229348 and 32788.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77834 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.01 + -0.67. Which is the third biggest value? (a) g (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68672 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 0*l**2 + l**2)*(16*l**2 - 150 + 150 + (-2*l - 1 + 1)*(2 - 2 + 2*l) + l**2 - l + l - 16*l**2 + 2*l**2 - l**2).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2879 + 981. Let p be i\/(-182) - (6\/14 + -1). Solve -10*q = -51 + p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204300 by -11350.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.4 - 16. Let w = z + 1.2. Which is the smallest value? (a) 0.3 (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125342 + 5?\nAnswer: 125350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20001200 (base 3) to base 13\nAnswer: -201c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**3\/2 - 2016*n**2 + 366859*n\/2 + 185445 = 0.\nAnswer: -4121, -1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d, 5*n + d - 1 - 19 = 0. Solve n*l = -l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 7*p - 3*p + (5 - 2 - 1)*(0 + 0 + p) + (12 - 8 - 41 + (4 - 5 - 1)*(2 - 2 - 2))*(-2*p + 3*p - 3*p))*(-1 + 1 - p).\nAnswer: -69*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:01 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**3 + 2*v**3 + 5*v**3 + (v - 2*v - v)*(-2*v**2 - v + v) + 0*v**2 + 0*v**2 - v**3)*(-4*v + v + 13*v).\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-3249)\/247 - (-74)\/(-26)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -536*d + 19*d**4 + 536*d - 2 + (-4*d + 5*d - 3*d)*(5*d - d**3 - 5*d) to the form x*d + l*d**3 + z*d**4 + q + b*d**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from fhqwwgng?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560430 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7177 is divided by 56.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937*q**3 + 2 + 10 + 5613*q**3.\nAnswer: 7550*q**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-10 - (-231)\/22)*(-2)\/(-4). Let c(u) = -u + 1. Let x be c(-2). Let a = 6 - x. Solve p = a*r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoau. What is prob of sequence au?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7427793 is divided by 312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 5. Solve 0 = 5*v - a - n, 8*a - 4*a - 20 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 2*n + 18. What is the lowest common multiple of l(0) and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -177*r**2 - 45664*r + 357. What is u(-258)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 - 0.1. Let n be (2\/6)\/(115\/(-69)). What is the closest to 0.1 in n, 0.5, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -0.078073805.\nAnswer: 3.921926195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-6)\/(-5))*(0 - -2). Let t be o + 7 + (-2 - -2). What is the tens digit of (-2 - (2 - t))\/(2\/(-17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258613 is divided by 6453?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-554823)\/11024 + 0\/(-1). Let v = x + 3851\/53. Let d = -270\/13 + v. Calculate the common denominator of d and -47\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14\/(84\/(-2678)))\/(3\/(-9))?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 8 = 18. Let l(a) = a**3 - 3*a**2 + 2*a + 2. Let m be l(r). Let p be 1 + (-1*9 - m). Is p greater than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9590.1126 rounded to the nearest ten?\nAnswer: 9590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1099.26962837 + 24.26906537. Let a = -1075 - g. What is a rounded to five dps?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.074 times -0.1\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2522 - -2520. What is the smallest value in -62, -1\/2, -3, z?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/9)\/k)**34 assuming k is positive.\nAnswer: k**(-170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 i when three letters picked without replacement from {i: 18, a: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19630524139+1\nAnswer: -19630524138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k = -3*w + 108, -2*w = -3*k - 72. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -387, -602, -807, -996, -1163, -1302, -1407?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*k = t - 76, 0 = 5*k + 5. Suppose 3*l = 5*c + 31, 5*l - 2*l = -5*c + 11. Calculate the smallest common multiple of ((-11)\/3)\/((-8)\/t) and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*q - 4*q + 4095. Let z be 6\/(-4) - q\/(-138). Put -72, z, 5, 0 in decreasing order.\nAnswer: 5, 0, z, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/12)\/((-96)\/72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 63\/8 of a kilogram?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67828605 - 6751395. What is u rounded to the nearest 1000000?\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 5, g: 5, m: 2, x: 1, u: 2}. Give prob of sequence lp.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*y - 197*y - 1406 = -618*y + 199*y for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 8. Let g(r) = 24*r**2 + 3*r - 15. Let s(x) = x. Let f(j) = b*s(j) - g(j). What is the derivative of f(a) wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 2*y**2 + 1. Let n be t(2). Let x be 0\/(-2) + 30\/n. Solve c - 28 = -3*c - 5*m, 5*c - x = -5*m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.361\nAnswer: 0.1805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 54*p. Let r(o) = 20*o**2. Calculate r(u(h)).\nAnswer: 58320*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 189*n - 61. Is a(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1945*r**2. Let m(x) = -118*x**2 + 4*x + 4. Let z(d) = -30*d**2 + d + 1. Let p(b) = m(b) - 4*z(b). Give a(p(t)).\nAnswer: -7780*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:04 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 1. Let q(h) = -h**3 + 9*h**2 + 6*h + 8. List the prime factors of q(g).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1029)\/854 + (2 - 0) and -2 - (-36)\/20 - 1785\/200?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 5 + (-5 - 3 - -11) + 23\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 455, 831, 1351, 2009, 2799?\nAnswer: 3715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (212 - 211) + (1 - 25).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -30 + (-1)\/2*(0 + -18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*c + 21. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5135, -5133, -5131, -5129, -5127, -5125?\n\"Answer: 2*y - 5137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1482707, 1482702, 1482697, 1482692?\n\"Answer: -5*q + 1482712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*j - 109 = 0, 4*s - 4*j - 115 - 37 = 0. Suppose -4*g - 15 = -s. Suppose w + g = 2*w. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.1 (c) 1.2 (d) -1\/2 (e) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21102201201 (base 3) to base 12.\nAnswer: -70824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840275 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 8*h**2 - 5*h - 7. Suppose -2*g - 16 - 2 = 0. Is f(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 divided by 2.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7201423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -23 - 23) + 31 + (-1 - -6).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 23 = -3*h, 0 = -5*h - 6*p + p + 35. Let l = 3 + -4. Let k be 7\/1 - (-3 - l). Calculate the highest common factor of h and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjqsssbubssqssss. What is prob of picking 1 b and 1 j?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g - 6 = 0. Let r be g\/10 - 3332\/(-10). Calculate the highest common divisor of 37 and r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*n**3 - 24*n**3 - 21*n**3 + (0*n**3 + 2*n**3 - 3*n**3)*(3 + 0 - 5) - n**3 + n**2 - n**2 + n**3 - 3 + 3 - 1 + n**3 + 1.\nAnswer: -27*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 652544 + -4056?\nAnswer: 645455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-30))\/(184\/(-184))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*l - 2194 = -196 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 506 - 506.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74372 + 0.3.\nAnswer: 74372.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**2 + 2*r - 2. Let j(h) = 29*h**2 + 9*h - 395. Calculate -j(q) + 4*s(q).\nAnswer: -q**2 - q + 387","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w + 3. Let z be p(1). Suppose 18*t - 15*t - 24 = z. Suppose -4*n = 3*o - o - t, 2*o = -2*n. What is the smallest value in n, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11473\/387 > -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 + -0.41. Let q be -3 - (-1)\/(-8)*-14. Sort g, 0.1, q in descending order.\nAnswer: 0.1, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/5 - 327*w\/5 - 972\/5 = 0. What is w?\nAnswer: -324, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 5, k: 2, f: 6, m: 1}. Give prob of sequence af.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15956570*m**3*w + m**3 - 470010*m wrt w.\nAnswer: -15956570*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.91 + -1.81. Which is the nearest to 1\/27? (a) -0.3 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6161 - 30802\/5. Put -7, i, 1, -1\/2, 6 in ascending order.\nAnswer: -7, -1\/2, i, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) -4 (c) -4058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/98 and (-16 - -10 - 1176\/6)\/(-28*5).\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-1))\/(4\/12))\/((-1353)\/82).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 2*g + 6*g)*(-15*g - 21*g - 36*g - 8*g - 133 + 31*g) to the form i + b*g + u*g**2 and give u.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j*k**6*u + 2820*j*k**5*u - 2*j*k**2*u + 3*j*k + k - 739*u wrt k?\nAnswer: 240*j*k**3*u + 169200*j*k**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**4 - 2*i**4 + 5*i**4 - 2*i**4 + 4*i**4 - 3*i**4 + (-4*i**3 - 5*i + 5*i)*(-2*i - 3*i + 7*i) - 12*i**4 + 10*i**2 - 10*i**2 + i**4 + 4*i**4 - 4*i**4.\nAnswer: -22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + -11 - -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 512787 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119084.\nAnswer: 2, 7, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/14 + (-8)\/(-56). Solve s*u = 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166\/18 + (-7)\/(-27)*(-2052)\/2394.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/60 + 2*z**2 - 24*z. Let p(m) = -260*m. What is p(g(q))?\nAnswer: 260*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, m: 4, y: 9}. Give prob of sequence mmyr.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/7)*d*d)\/d*d*d**11 assuming d is positive.\nAnswer: d**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1772602692?\nAnswer: 2, 3, 7, 31, 41, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/33 and 17\/13717.\nAnswer: 41151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -490*y + 3486. Calculate the lowest common multiple of 70 and q(6).\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2769459792.\nAnswer: 2, 3, 11, 109, 48121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17334 is divided by 4103.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a - 2*n - 76 = 0, -4*n = 119*a - 123*a + 60 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*sqrt(2736))**2 - sqrt(2736))*6 + (sqrt(2736) - (-2*sqrt(2736)*6)**2) + 1.\nAnswer: -377537 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34\/3? (a) 3 (b) 4 (c) -4 (d) -2\/37 (e) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.108002l in millilitres?\nAnswer: 108.002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - -2000100122010210?\nAnswer: 2000100122010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 756\/(-44) - 6\/(-33). Let l = -243 - -158. Is 892\/10 - q\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/sqrt(7)*-1 - sqrt(26)\/(sqrt(12)\/sqrt(6)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 2. Let i be l(-3). Suppose -m + y = 2*y - 3, -3*m - 4*y + 12 = 0. Find the common denominator of 61\/10 and m + i + 260\/(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3367 = -71*l - 3012 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 2*r**2 + 4*r + 1. Let w be f(3). Let x(a) = 5*a**3 + 55*a**2 - 3*a - 28. Let q be x(-11). Solve 3*v - 5*t - 1 = q, 2*v = -2*t + w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m. Let j(u) = -14*u**2 - 7*u. Determine h(j(a)).\nAnswer: 126*a**2 + 63*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (-19 + 18 - 1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 11) + (306\/42 - (-2)\/2). Which is the biggest value? (a) g (b) -2 (c) 12203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*w - 1. Suppose 102 + 136 = c. Suppose -w*f + 0*u - u = -c, 3*u - 186 = -4*f. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from isjjj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/4*u**2 + 42 - 11\/4*u = 0.\nAnswer: -7, 24\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 8*l - 2. Let u(m) = 10*m**3 + m**2 + m + 1. Let d be u(-1). Let n be o(d). Let w = 17 + n. Solve -3*h + w = -3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*y**4 + (-4*y**4 + 5*y**4 - 4*y**4)*(3 - 174 + 13).\nAnswer: 476*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21564305.\nAnswer: 5, 7, 47, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 3*t - 8, 12 = -3*z + 370*t - 372*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1276252 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8320436 and 432076?\nAnswer: 3964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzx. Give prob of sequence px.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 5*k - 2. Let v be h(6). Let n(x) = -v + 8 - 8*x + x**3 - 4*x**2 + 3. Let q be ((-4)\/(-5))\/((-9)\/(-45)) + 1. Calculate n(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909374981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**7\/105 - p**4\/6 + 5*p**2. Find the second derivative of m(t) wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 15, 21, -12.\nAnswer: -12, -6, 15, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 8. Let m = 48 + 61. Suppose 175 = r*l - 5*n, -4*l + n + 70 = -m. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 31*v + 124 = 0. What is the second derivative of 26*k + v*k**2 - 4*k**2 + 11*k + 9*k**2 wrt k?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/187 + 380\/561. Let a = 2 + -2. Let m(p) = 8*p - 64. Let b be m(8). What is the closest to a in k, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*h = 45*h + 45*h. Which is the closest to h? (a) 4\/5 (b) -0.2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.16 - 2.84. What is the fourth biggest value in 2\/3, u, -0.7, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence but when three letters picked without replacement from {p: 1, t: 5, b: 1, e: 1, u: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25116*p + 31617.\nAnswer: -25116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 1815*c**2 - 7248*c + 7244.\nAnswer: -(c - 1811)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 391817075 a multiple of 2279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6438485920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20501 - -36083. What are the prime factors of y?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -4 + (-24)\/(-20) + 8\/(-40). Sort 0, -2.566, y.\nAnswer: y, -2.566, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -725*n + 35. Let s(p) = 363*p - 19. Let m(k) = 4*j(k) + 10*s(k). Find the first derivative of m(w) wrt w.\nAnswer: 730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 6*s - 11339, k - 3*s - 11355 = -5*s. What are the prime factors of k?\nAnswer: 11, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1827*d*o*x**2 - 10*d*x**2 + 2*o*x**2 + 9*x - 7 wrt o.\nAnswer: -1827*d*x**2 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -19*p**7\/105 + p**4\/2 + 39*p**2\/2 - 27. Let z(o) be the second derivative of f(o). Find the second derivative of z(t) wrt t.\nAnswer: -456*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33*8\/12*(-2)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 22, -58?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1636*j = -2*q + 1634*j + 8, -9*q = -2*j + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + f - 4. Let c be n(-3). Suppose 5*b + c = 7, 2*b + 4 = 2*u. Let t = u - -6. What is the lowest common multiple of 11 and t?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(325)*-1 + -4 + -3)**2.\nAnswer: 30*sqrt(13) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-285852)\/(-268422) - (-4)\/(-66)*27.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043556 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 - -209. Let a = -7 + 10. What is the remainder when p is divided by 19 + a\/(-9)*-3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eqhhqehhqzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574\/(-13)*-3 + 8 + 0 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5\/7 - 81621*f**4\/7 + 78835032*f**3 + 45236572848*f**2\/7 = 0. Calculate f.\nAnswer: -81, 0, 13644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 2*d - 17 = 11*b, 2*b = 15*d - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1329)\/6)\/((12\/16)\/(-3)). Let a(s) = 6*s**2 - 888 + p + 0*s**2 + 5*s. Let g(h) = 7*h**2 + 6*h - 2. Calculate -6*a(d) + 5*g(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**5\/m))\/m**4*m*m*m**(-5)\/m*m\/(m*m*m**(-2)\/m*m))**(-25) assuming m is positive.\nAnswer: m**225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*z - 44*z = -13914 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 8 - (-1 + 0 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t**3 - 5*t**3 + 0*t**3)*(5*t - 2*t + 3*t) + (t**2 - 3*t**2 + t**2)*(-t**2 + t**2 + 3*t**2) in the form v*t**3 + m*t + u + z*t**4 + h*t**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-13)\/(-10) - 1)\/((-36)\/(-555)) and -65\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 496.031.\nAnswer: -496.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 413 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16 - -14) + (4 - 0). Let r be (-4)\/(-14) + (-405)\/21 + p. Is r equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p - 3*p + p + p**2 + 2*p + 5. List the prime factors of o(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 + 179 + 21 - 77.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/9)\/n)\/n**(-2))\/(n**(4\/7)\/(n*n\/(n*n\/n**(2\/19))*n)))\/(n**(-7\/5)*n*n*n*n**(-1\/6)*n)**(8\/3) assuming n is positive.\nAnswer: n**(-7447\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -19*o**6\/30 - 11*o**2\/2 - 18*o. What is the first derivative of m(p) wrt p?\nAnswer: -76*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 783808247?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 9*j + 25. Suppose 4*n = 3*w + 82, 0 = -3*n - n - w + 74. Let t(y) = -n + 15 - 2*y + 0*y - y**2 + 10. Determine t(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + 1 + 3 + 5 + (sqrt(1331) - (0 + sqrt(1331)) - sqrt(1331)) + -2)*3)**2*6.\nAnswer: 2646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(o**3 + 4*o**4 - o**3)*(-6 + 3 + 2).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 11*b**2 - 11*b - 6. Let d be q(-10). Suppose d*o + 33 = 165. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -15\/2, -4\/19?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = -0. Suppose 2*g + 4*h = 4, -3*g - 1 = -3*h - 25. What is the least common multiple of g and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1427 - -1427. Sort -3\/8, -4, 0.8, s.\nAnswer: -4, -3\/8, s, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 295677*t**4 + 1072*t**2 + 17*t + 4663802?\nAnswer: 3548124*t**2 + 2144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -409.\nAnswer: -10\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/(((p*p**(1\/14))\/p)\/p))**7*((p\/(p\/p**(-2\/5)*p))**(-1))**(-44) assuming p is positive.\nAnswer: p**(-901\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 6:39 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + -8 + -11 + -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - -12235032?\nAnswer: 12235001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 less than 19441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5\/5 - 8*h**4 - 81*h**3\/5 - 44*h**2\/5 = 0 for h.\nAnswer: -11, -4\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42424161.5 - -779173.5. Let q = -41644999.9999998 - v. Let c = q - -12. What is c rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*j - 104*j + 23*j + 720. Solve -3*x = 4*r + 35, -j*x - 20 = -r - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away -0.187?\nAnswer: -0.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 38, 73, 106, 131, 142, 133, 98?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.437373, 3, 0.2, 45 in ascending order.\nAnswer: -0.437373, 0.2, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152.47 + 151.77. Let w = 0.4 + -0.7. What is the closest to 0 in w, 2\/5, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245006?\nAnswer: 2, 122503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*b + 1, -j - 6 = 2*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(11)*-3 - (-5 + sqrt(77)\/sqrt(7)))**2.\nAnswer: -1005 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -181, -198, -231, -286, -369, -486, -643?\n\"Answer: -s**3 - 2*s**2 - 4*s - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 4, t: 9, w: 2}. What is prob of sequence wtw?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32762761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3104412230 (base 5) to base 12\nAnswer: -2150a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 22*n - 22. Let b be y(12). Suppose 5*w = -3*l + 491, b*w = l - 125 - 24. What are the prime factors of l?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 9*d**3 + 8*d**3 - 57*d.\nAnswer: -2*d**3 - 57*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 39865.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1593236 and 121518?\nAnswer: 14339124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let j = 28.2 + -28.1. Which is the closest to l? (a) j (b) -0.06 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 26*h**2 + 170. Let g be q(-26). Let l be (-1)\/((-50)\/g) + -3. Let w = 605\/1624 + 1\/406. Put l, 3, w, -2 in descending order.\nAnswer: 3, l, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2002288 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520510899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 33 = -24. Let v = -21 + 21. Suppose 3*j + v = 21. Calculate the remainder when z is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 1691*o. Let t(l) = 486*l**2. Calculate k(t(a)).\nAnswer: 708588*a**4 + 821826*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {u: 19, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4333\/132 - -296\/11. Let l = u + 79\/12. What is the third smallest value in -2, l, 2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdvvvoovvkbooovb. What is prob of sequence kkdv?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33147 + -2154. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*c + 5427, 2*q - 1313 = -2*c + 1387. Suppose -36*h + 39*h - c = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 5. Let i be s(-11). Calculate the highest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 36*b**3 + 5*b**2 - 8*b + 7. Let m be z(3). What is m rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 84*v**3 - 20*v**2 + 93*v - 67. Is i(24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 17 = -84 + 1 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 + j**2 + 4*j**2. Let r(c) = 5*c**2. Calculate r(o(z)).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = -5*w, 2*x + 18 = -w + 3*w. Factor -2*f**4 + 0*f**5 + 3*f**3 - 4*f**3 - f**5 + 0*f**w.\nAnswer: -f**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 6\/23 (b) 31385 (c) -4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -684a (base 12) in base 7?\nAnswer: -45520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i**(-3)*i)\/i*i))**(-14)*(i**(3\/5))**(2\/69) assuming i is positive.\nAnswer: i**(-3218\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*j - 6 - 3, -15 = -5*j. Let o = -12 - -12. What is the nearest to t in -1, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1218 - -1218.1. What is the closest to 1 in x, -5, -15, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - -0.1. Suppose -31*y + 24*y + 28 = 0. Which is the third biggest value? (a) -1\/8 (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/15888 and -53\/1956872.\nAnswer: 11741232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1079058690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -43962 divided by -78\nAnswer: 7327\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 take away -2149712411?\nAnswer: 2149712185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -93*j + 477. Let k be o(5). Calculate the greatest common divisor of k and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(((j*j**(2\/15))\/j)\/j*j)*j**(-1\/27)*(j**(-14))**(-38) assuming j is positive.\nAnswer: j**(71932\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}