diff --git "a/data/dm_maths/full_data_2/10823_11255.jsonl" "b/data/dm_maths/full_data_2/10823_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10823_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s be -2 + (3 - 2) - -9. Let t(u) = u**3 + 3*u**2 + 3*u + 3. Let a be t(-2). Let x be a\/4 - 26\/s. Put x, 3, -1 in descending order.\nAnswer: 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151257 is divided by 1969.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmaxaxmm. Give prob of picking 2 m and 1 x.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**3*q**3*w - 25*l**3*q - 9*l**2*q**3*w + 2*l*q**3 + l*w - q**3 wrt w.\nAnswer: l**3*q**3 - 9*l**2*q**3 + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, y: 1, e: 2}. What is prob of picking 1 e and 2 d?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.034, -20, 0.\nAnswer: -20, -0.034, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.5256089 rounded to 2 dps?\nAnswer: -30.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142609 and 2.56?\nAnswer: 365079.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9 + (-1750)\/(-6). Find the common denominator of -3\/11 and j\/42 + 2\/(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 + 0 = 0. Suppose f = -f + d. Which is smaller: 4\/3 or f?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/5 + 2\/15. Is 5 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3 + 3*u - 2*u - 2*u. Let i be z(-9). Suppose c - 5*d = 43, 4*c = i*c + 2*d - 26. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**4 - 2*t - 799*t**3 + 800*t**3 - t**2 - 3*t**4 + 3*t**4 to h*t**3 + j*t**4 + x + w*t + c*t**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*j + 36 + 1865, 4*i + 3*j = 1907. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001 - -11000100111?\nAnswer: 10110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 - -1129\/10. Let v(o) = o**3 - 19*o**2 + 18*o + 1. Let t be v(18). Suppose 2 = q - 3*h, 2*q = -q + 4*h + t. Are m and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -330 + 2511. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -1 - 2 - (-385 + -1). Let y = -210 + u. What is the remainder when y is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w - 5*w + 4*w)*(-133*w - 15158 + 15158) to the form k*w**2 + q + i*w and give k.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 - 10*a + 133. Give b(-10).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342 (base 5) in base 14?\nAnswer: 11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641*c = 645*c - 88. Solve 0 = -3*g + 5*q - c, -q = -g - 3*g - 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 - (-8 - 5) - (17 + -70).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 1\/30*v**3 - v + 1\/60*v**4 - 4 + 0*v**2. Let s(l) be the first derivative of q(l). Solve s(n) = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 5622536 = -6*d. Let s = 654366 - d. What is s rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -68.0608 and -26.5?\nAnswer: 41.5608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 16, -55 in ascending order.\nAnswer: -55, -2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18.86 - 201735736418\nAnswer: -201735736436.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -23. Suppose 3*v - 2*i - 2*i + 18 = 0, -3*i - j = 0. Let w = v + 14. Calculate the lowest common multiple of 6 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 35948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 7*f + 23. What is r(-8)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 3. Let m be 3 - (0 + 4 + n). Let 0*v**2 - 2*v + 3*v**2 - 9 - 4*v**m + 8*v = 0. What is v?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0*m**4 + 1\/105*m**6 + 1\/35*m**5 - 2\/21*m**3 + 0 - m - 1\/7*m**2. Let h(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 6*n**2 - 5*n + 1. Let t be d(7). Let i = t - 24. Let k be (-6)\/27 - 38\/i. What is the closest to 2 in k, -0.2, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 23*p - 143, 383*c - 380*c - 3*p = -0*p - 6 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f = 4*q + 36, q + 9 = -4*f. Let l be 2\/(-1 + q\/(-15)). Let y = l + 10. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -93063.\nAnswer: 27918.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30996 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2888598.\nAnswer: 2, 3, 481433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 577 - 323. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -5, 4, 1\/409, -3.7 in increasing order.\nAnswer: -18, -5, -3.7, 1\/409, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 365\/14 - 193\/7. What is the biggest value in d, -12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -325, -468, -597, -712, -813, -900?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313\/2930 + 2\/293. Which is the closest to -0.3? (a) 4 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**3 + l + 24 - l - 19 - l. Suppose -y = y - 10. Let c(f) = -5*f**3 - f + 4. What is y*c(r) - 4*g(r)?\nAnswer: -r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = -6*u - 140. Suppose 5*a - c = a - 14, 6 = -3*c. Sort 5, -2, a, u in increasing order.\nAnswer: u, a, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 5, g: 1, k: 1, d: 5, v: 1}. What is prob of sequence ig?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230110 (base 4) in base 6?\nAnswer: -52032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1335 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**5\/(p**1)**(1\/33))\/((p\/(p*p**(2\/3)*p))**(6\/7))**28 assuming p is positive.\nAnswer: p**(5111\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(16)\/sqrt(2)*3) + 1)*-2 + (-1*4*(sqrt(5) + sqrt(20)\/sqrt(4)) - 3*(1 + ((sqrt(5) + sqrt(20)\/sqrt(4))**2 - sqrt(5)))).\nAnswer: -65 - 17*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 + (9 - 12 - -3). Suppose a = -i + 14, -3*a + 4*i = d*i - 17. Calculate the lowest common multiple of 1 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 4 + 3 + sqrt(833).\nAnswer: 7 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-7))\/(48\/(-3528)))\/(-2*25\/(-60))?\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -15. Let t be 1\/z - 2\/(-6). Let a = t + 39. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2 - (1 + -1)). Suppose -2*w - w + 9 = z. Suppose -5 = -24*h + 23*h. Solve -w*d = -5*d, -4*d - 20 = -h*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*((sqrt(84) - ((sqrt(84) - (sqrt(84) + -2*(sqrt(84) + sqrt(84)*-1) + sqrt(84))) + sqrt(84)))\/sqrt(4))\/(-2*-1*sqrt(63)).\nAnswer: -4 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.1, -0.05, 2, -2374, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {l: 1, z: 1, j: 1, x: 1, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -106805*g**4 + 572512 wrt g?\nAnswer: -427220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 6 - 16*n + 61*n - 35*n - n**4 to the form h*n**2 + f*n**4 + p + b*n**3 + o*n and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(5)*-2)**2*3 + -1).\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 13.4, 86 in increasing order.\nAnswer: -1\/2, 13.4, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -5. Let k = 1.02 + u. Which is smaller: -2\/7 or k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 81. Suppose 0 = n*r - 4 + 264. Let c = -55 - r. Sort -1, 48, c, -5 in increasing order.\nAnswer: -5, c, -1, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670295269 to the power of 1\/2, to the nearest integer?\nAnswer: 25890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(sqrt(931) - (sqrt(931) + sqrt(931) + sqrt(931) + 0 - sqrt(931))*-5))**2.\nAnswer: 2253020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1747\/42 - -192\/7. Calculate the common denominator of -37\/84 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0 - 11. Let u = c - 8. Solve -5*t - 3*a - 10 = 0, u*a + 1 = -4*t - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(19)) + sqrt(304)*1)**2 - ((5 + sqrt(475))*-1)**2.\nAnswer: -50*sqrt(19) + 1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 77*n**2 - 1108*n - 43. Determine g(14).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -182 (b) 2\/3 (c) -0.2 (d) -3 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*r**6*w + 7099*r**3*w - 362931*r**2 + r*w wrt r?\nAnswer: -600*r**3*w + 42594*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.67 + 83.07. Which is the smallest value? (a) 3\/7 (b) v (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 14 = -4*s, -s + a - 4*a - 16 = 0. Let l be s\/((9\/3)\/9). Sort -1, l, 4.\nAnswer: l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*z - 96*z = -234*z - 1104 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 5*c**4\/12 + 25*c**3\/6 + 57*c. Factor v(f).\nAnswer: 5*f*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + a + 2*a - 5*a + 0*a + 4*a + 3*a + 2*a - 3*a + (2 - 3 + 2)*(-3*a + 4*a + a) + a - 1 + 1)*(-5 - 1 + 2) in the form f + h*a and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1813.61.\nAnswer: -544.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) - ((sqrt(78) - (sqrt(78) + sqrt(78)*-2 + sqrt(78) + sqrt(78))) + sqrt(78)))*-5)\/((sqrt(12)*-2)\/sqrt(2))*5.\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -f + 20, -4*u + 0*f + 3*f + 16 = 0. Suppose 13959 = 67*h - 20*h. What is the remainder when h is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.83 * 0.5369\nAnswer: -0.982527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -93, 4 in decreasing order.\nAnswer: 4, -4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Suppose -u - 3*j + 14 + 0 = n, u + 5*j = 22. Solve -2*x + u = 4*w, 0 = -7*x + 4*x + 5*w - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 590, 1189, 1788, 2387?\nAnswer: 2986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-7 + (-3 - -9)). Determine u so that 0*u + 0 - 8\/7*u**g - 4\/7*u**4 - 4\/7*u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:45 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*f = -4*t, 2*f = t - 8. Let v(w) = -2*w + t*w + 0*w. Let z(p) = 9*p**2. Calculate v(z(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42989405 divided by -8597881.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + l - 13. Let f be g(-4). Let r = f - -68. What is the first derivative of 15*p**3 + 10*p**r - 8 + 4*p**3 + 17 wrt p?\nAnswer: 87*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -50*g**3 - 33*g**2 - 64*g - 13. Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 2. Let j(t) = -t**3. What is -2*j(h) + m(h)?\nAnswer: 2*h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -4*f + 89, 2*i = 327*f - 329*f + 44 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 4, r: 4, t: 1}. What is prob of sequence dgdr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 2, y: 2, u: 1}. Give prob of sequence uey.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/186373 and -7\/6.\nAnswer: 1118238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*n + 24. Suppose 0*h = -2*h + n. What is the smallest common multiple of 2\/(-6)*(-18 - h) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 24 = -6*z. Is 62\/z + (-1)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2958*g - 2962*g + 10 = -w, w - 5*g + 13 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-2))\/9*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2665788 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*k = -281 - 54, -4*x - 5*k = -241. Calculate the greatest common divisor of 48 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1373655*d**2*t**2 - 24*d**2 - 18*d + 78 wrt t.\nAnswer: 2747310*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/9 and 79\/79161054.\nAnswer: 237483162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 at most 8903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 equal to 95\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/15*(-5580)\/248.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 797236.8 months?\nAnswer: 664.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -21, -54, -121, -234, -405?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*p**3 + 21208528*p**2 - 74229554*p + 64950774 = 0. What is p?\nAnswer: 7\/4, 662763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68)*-2)\/(sqrt(196)*3))**2 - (((-6*-1*sqrt(2448))**2 - -1*(sqrt(2448) + 0)**2) + -3).\nAnswer: -39942625\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1617 and 1617.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 2. Suppose -m = m. Suppose 2*c = 5*q - 3*c + 15, m = -3*q - 4*c + 26. Let t(h) = 3*h + 5. Let v(a) = a + 2. What is q*t(z) + r*v(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 v when three letters picked without replacement from nvvnn.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1800345, -3600690, -5401033, -7201374, -9001713?\nAnswer: -10802050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = b + 4, 0 = 3*a - 2*b - 2 - 3. Suppose -4*f = -3*j + 9, 11 - 2 = -3*f + a*j. Solve c = -f*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45.02194 seconds?\nAnswer: 45021940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622 bigger than 1606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 56.6. What is the closest to -1\/3 in d, 0.3, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -8\/7 (c) 1 (d) -1 (e) 1\/3 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from zmmzzzmzzmmmm.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 273?\nAnswer: 81.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.9 + 7.9. Which is greater: -48 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1143752 - -470?\nAnswer: -1143262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13423*d**2 + 8881 wrt d?\nAnswer: -26846*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/4)\/(-7 + (-143)\/(-44)). Let d = -0.1 - 0. Let f = 0.4 + d. What is the nearest to o in -1\/3, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1382 - 1382 + 3*k - 2*k. What is t(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a = 27*a + 66*a + 888 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 716879530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816313519.\nAnswer: 7, 8377, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*y - 496*y - p = -11, -2*p = 4*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v + 0*v)*(-1 - 2 + 1) - 2 + v + 2 - 1 - v + 1 + (3 + 3 - 4)*(-v - 1 + 1).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**4\/2 + 12*m**3 + m**2\/2 - 17*m + 91. Let u be j(18). Sort 3, -1, 7, u.\nAnswer: -1, u, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, q: 7}. What is prob of sequence qkkk?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (-3)\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y**3 + 178*y**2 - y - 410. Let x(d) = 8*d**3 + 175*d**2 - d - 411. Let b(h) = -6*j(h) + 7*x(h). Find the second derivative of b(p) wrt p.\nAnswer: 12*p + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 15*d**2 + 3*d - 1. Calculate i(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 35\/3 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*1*(0 + sqrt(1584)))**2 - (sqrt(88)\/(sqrt(968) - 2*sqrt(968) - sqrt(968)) - (sqrt(44)*6 + sqrt(11) + -5)**2).\nAnswer: -2859*sqrt(11)\/22 + 8217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j**2 - j**3 - 7*j + 13 - 5*j**2 - 4. Suppose -12 = -2*b + 2*s, 3*s - 4*s = 2*b - 12. What is d(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((209\/(-44))\/19)\/(42\/3192)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 + 5*d - 100 - 4*d)*(5*d**2 - 2*d**2 - 4*d**2).\nAnswer: -d**3 + 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0415 - 2.0415. Which is the second smallest value? (a) z (b) 4 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23\/62 + 4\/31. Let d(g) = g**2 - 8*g + 11. Let n be d(3). Which is the closest to q? (a) -3 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 2*f - 6*f. Let h = -35 - f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 846295699 to the nearest integer?\nAnswer: 29091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**4 + 8*x**3 + x**2 + 3191*x + 214526 with respect to x.\nAnswer: 4*x**3 + 24*x**2 + 2*x + 3191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 4678141*n - 4678146*n + 18, 6*n + 4*w - 24 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8027 - 7928. Calculate the remainder when t is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 13, 0.1, 0.02, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n - 51*n = -70. Suppose n*x - 4 = 10*x. What is the second biggest value in x, 1\/8, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 4, -0.5, 1\/35, 8, 10, -5.\nAnswer: -5, -0.5, -1\/9, 1\/35, 4, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/1200 and -53\/840.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + -0.8. Let g be (-72)\/324 + -5*2\/(-18). What is the third smallest value in 1\/4, a, -4, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**0)**(-11)*j**(1\/8)*j**(-6) assuming j is positive.\nAnswer: j**(-135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l**2 + l - 5. Suppose -3*w + 16 = 1. Suppose 0 = w*i - 3*x - 9, -3*x = -3*i - 1 + 10. What is d(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2620123553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053 = 17858*q - 17897*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c + 2*i + 28 - 17 = 54*c, -i - 103 = 32*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/17480 and 17\/320.\nAnswer: 139840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026115 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120255 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138245776?\nAnswer: 2, 103, 149, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 13573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 9*i - 8. Let k be w(-6). Let g(f) = -f**3 + 11*f**2 - 3*f - 20. List the prime factors of g(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99455892.\nAnswer: 2, 3, 8287991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*m + 16 = 0, -v - 2*m = -0*v - 7. Let z(i) = 4*i**2 + i + 1. Let y be z(v). Let h(s) = 2*s + 1. What is h(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 27*a**2 - 9*a + 4. Let j(n) = 54*n**2 - 19*n + 8. Let u(r) = -4*j(r) + 9*q(r). Let k be u(7). Let b = -2692 + k. Round b to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/(-17980)*20)\/((-12)\/3)?\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 6*g + 14. Let y be r(6). Let s = y + -8. Is 1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.23466 rounded to 2 decimal places?\nAnswer: 307.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - (16 + (13 - 7) + -132)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**3 + 5*t + 4*t - 8*t - 17*t**2 - 7*t**3 - 8*t**2 in the form x*t**3 + m*t**2 + y + b*t and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(220\/16))\/((-154)\/35).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/30 - (-3644523394772684)\/(-223848). Let v = 16281241714 + w. Let n = -1\/6218 - v. Find the common denominator of n and 29\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 280.815 - 281. Round f to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 7581.\nAnswer: 45486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1914\/54)\/11 + 2\/(-9). Let g(h) be the second derivative of 1\/105*h**6 + 1\/7*h**2 + 1\/7*h**4 + l*h - 2\/35*h**5 - 4\/21*h**3 + 0. Factor g(s).\nAnswer: 2*(s - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 - 37*n - 361. Give a(-9).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*(-96)\/36. Suppose -148*i + 125 = -174*i - 5. Put g, -2, i, 7 in ascending order.\nAnswer: i, -2, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 1500.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2731*u**2 - 2731*u**2 + 76*u**3.\nAnswer: 76*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384761 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**3 - 5*f**3 + f**3)*(-4*f + 3*f + 0*f) - f**4 + f**4 + 7*f**4 in the form u*f + j*f**2 + i + p*f**3 + a*f**4 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 112 = -d. Let t be 4 + (10 - d)*-3. Let s(r) = -4*r**3 - 2*r**2 + 9. Let u(c) = c**3 - 1. Calculate t*u(a) - s(a).\nAnswer: -a**3 + 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16314 + -6?\nAnswer: -16322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118236 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053955.\nAnswer: 5, 277, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssg when three letters picked without replacement from {v: 1, s: 2, f: 2, o: 3, n: 1, g: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77.00202 + -77. Let o = 0.603 - 0.6. Let s = o - l. Round s to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -z - 12, d = -3*z - 4. Let w be d*4\/(4\/(-1)). Let n = w - 18\/5. Sort -2, -4, n in decreasing order.\nAnswer: n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 10. Suppose -v*g = -3*g - 51. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 7:26 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 4717, -2, 0.5, -4\/3.\nAnswer: -2, -4\/3, -0.12, 0.5, 4717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -157 and -0.2.\nAnswer: 31.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1608 = -492*v + 516*v. What are the prime factors of v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 + 144. Solve -x*h + 26 = 5*b, -3*b + 19 - 9 = -h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - ((24 - 21) + (1 - -16) + -8).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18974 - 0.19. What is m rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*x**2 + x**4 + 7*x**4 + 1667 - 58*x**4 + 1340 wrt x?\nAnswer: -200*x**3 + 62*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -0.5, -4, -1, 2, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -47 - 1. Let m be (6\/(-4))\/(9\/c). Let z = 1 - m. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 12 - 1 - (3 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -215.\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.991 and -80125?\nAnswer: 80133.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-4) + (9\/3 - 3). Suppose -2*c - 4*n + 8 = -c, r*n = 2. Solve -2*d + 34 - 1 = 5*b, -4*b = -c*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -858 divided by 28188\nAnswer: -143\/4698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - m = -14, 8 = -0*m - 4*m. Let f be (3 - 0\/(-3)) + (-9)\/2. What is the nearest to -3 in c, 0, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttj when three letters picked without replacement from btbbbvjtbftbbjjtttbj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346282590?\nAnswer: 2, 3, 5, 11542753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000030878 rounded to seven decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6947, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 13334 - 56*h - 9*h + 72*h.\nAnswer: -2*h + 13334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -56*(-4)\/(-12)*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 - 66*c\/5 - 189\/5.\nAnswer: -(c + 3)*(c + 63)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 151045429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 228383.913 to the nearest one thousand.\nAnswer: 228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/105146 or 462?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + ((-15 - 8) + 6 + 2 - 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Let d = b - -1. Suppose -4*k + d*r - 9 = -2, -3*k + r - 4 = 0. Let t(w) = -w**2 + 1. Let q(g) = g**3 - 6*g**2 + 6. Give k*q(i) + 6*t(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926.0636l to millilitres.\nAnswer: 926063.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c. Let j(f) = -f - 2*f - 5*f. Let l = -27255 + 27261. Determine l*j(r) + 5*q(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 25900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -770, -1542, -2316, -3092, -3870, -4650?\nAnswer: -5432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1290\/26593 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 13) to base 16.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r + 122. Calculate the remainder when h(12) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1099983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibbp when four letters picked without replacement from {b: 2, d: 2, p: 1, i: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggwgwggg. Give prob of sequence wwgg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.46 + 0.04. Let d = -241 - -2167\/9. Let l = 3 + -3.5. Which is the closest to d? (a) g (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 234, 471, 706, 939?\n\"Answer: -o**2 + 240*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 1 - 6 - 19 - 4*t as o + i*t and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 1)*1 + -5)**2.\nAnswer: -56*sqrt(3) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6057 and 1881?\nAnswer: 1265913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 2 - 3)*(1 - 3 + 3) + 5 - 1 + 0 - 3 + 4 + 1)*((5*i - 3*i + 0*i)*(-4 - 3 + 6) - i - i + i - 4*i + i + i) to the form f*i + s and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.004*-1954.\nAnswer: -7.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -54838625?\nAnswer: -54838621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (3 + (-5 - (-1 + 0)) - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -72*w - 183. Let u be h(-7). Suppose -u*v + 314*v + 140 = 0. Calculate the greatest common factor of 380 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2035 = 5*f, c = 6*c - 10. Let g = 410 - f. Let a(b) = -b**2 + 4*b - 3. Calculate a(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from qbgztzbhgzqhghhhbgzg.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156 - 64. Let p = 189 - f. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 17151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2532*j**2*y**2 - 37071*j**2*y - 5*j**2 + 2*j*y**2 + 2*j*y + 31*j + 3478*y**2 wrt y.\nAnswer: 5064*j**2 + 4*j + 6956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(-1) - (-10)\/(-5). Let v = z - 1. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Put -1, 4, -3, x in ascending order.\nAnswer: -3, -1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4366541 (base 7) to base 8\nAnswer: -2032233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in -5, 2, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 4, f: 2, e: 2}. Give prob of picking 1 e and 1 x.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -33. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - r + 182, 5*m + 5*r - 306 = 2*r. Suppose -g + 5*g - 144 = 0. Let j = m - g. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3))**12*(b**(-2\/7))**(18\/7) assuming b is positive.\nAnswer: b**(160\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 - f - 7. Let g(m) = -m**2 + 1. Give -b(l) - 4*g(l).\nAnswer: 8*l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5398 != -5398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - q**2 + 8*q - 5. Let a be o(-4). Suppose 6*m = a*m + 470. Let l = m + 137. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 903 + -362. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 19167991?\nAnswer: 19167991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4764?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (140\/(-32) + 4)\/12. Let c = -27\/160 + j. Let n(v) = v**3 - 8*v**2 + v - 11. Let r be n(8). Sort -1, r, -7, c in descending order.\nAnswer: c, -1, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18699726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -32 + (4 + -5 - -4) + 0\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 1)\/(9\/(-13200)). What is a rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122*79\/144570*-1305?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86*k**4 + k**2 + 78*k**4 - k**2 - 30*k wrt k.\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/11 - 5549752*x**3\/11 - 3850012805448*x**2\/11 - 5599921758080*x - 22399557875200 = 0. Calculate x.\nAnswer: -1387430, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 56. Suppose -13*r = 5*g - 8*r - 4340, -2586 = -l*g + 3*r. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 13*j**2 + 5*j**2 + 7*j**2 - 41*j**2 + 5*j**2. Let t(v) = -4*v**2 + 2*v**2 + 0*v**2. Determine p(t(d)).\nAnswer: -44*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-166 - -187 - (21 + 2))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7696 and 10556026?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s = 6. Let t(z) = z**2 - 6*z - 1. Let x be t(6). Let u = x - s. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -28. Let v be (8\/(-3))\/((-14)\/h). Which is the smallest value? (a) 1\/10 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 732 = 412. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) + sqrt(168)*2)*-4)\/sqrt(7))\/(3*(2*sqrt(128) + sqrt(128) + sqrt(128)) - sqrt(128)).\nAnswer: -3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3 + 2*q - 2*q**2 + 0*q**2 + 5*q**2. List the prime factors of j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 407.985 - 421. Let u = i - -13.1. Let y = u + 0.303. What is y rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110110001 (base 2) to base 8\nAnswer: -1661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2. Let l = -40 + 51. Let o(h) = -h**2 + 11. What is l*x(n) + 2*o(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 7. Let h be i(11). Let x = h + -53. Let j = 331 + x. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -220.\nAnswer: -219.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 + -1.84. Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h - 5. Let a(b) = 17 + 25 + b - 58 + 8*b + 2*b. What is 3*a(y) - 8*s(y)?\nAnswer: y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 4 - 4 - 306*t**2.\nAnswer: -306*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.035 + -0.795. Let l = -5.014 - -0.014. Which is the closest to q? (a) 3 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/5)\/(x**(1\/2)\/x))\/(x**(-6)\/x*x\/x**(2\/13)))**40 assuming x is positive.\nAnswer: x**(3772\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1588*q**3 + 7786*q**3 - 2263*q**3 + 6453*q**3 + 10097 wrt q?\nAnswer: 40692*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqlqqqqqqkqqlkkqlqlq. Give prob of picking 1 l and 2 q.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 8 - 8)*(6 - 2 - 2 - 65*b**2).\nAnswer: -260*b**3 + 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-80 - -87 - (-4 - 2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000837735 rounded to six dps?\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 <= 331\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + (-4 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 43 + 2 + -278 + 255 - 92\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*z + 78*z = 3*n - 2, 2*n - 1 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4\/9 - 14*p**3\/9 - 34*p**2\/9 - 34*p\/9 - 4\/3 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rar when three letters picked without replacement from {a: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, -3, -8, -87, 38, -4 in decreasing order.\nAnswer: 38, -3, -4, -8, -87, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.126 and -3?\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**3 - 4*j**2 - 7*j + 6. Let b(a) = -3*a**3 + a**2 + 2*a - 2. Suppose -13 = k + 2*y, -2*y + 4*y = -4*k - 34. What is k*b(l) - 2*h(l)?\nAnswer: 3*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i - 19. Let a be y(-23). Let s = a - 90. Let x(b) = -2*b + 4. Determine x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(684)*4)**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*d**2 + 23*d + 3230.\nAnswer: 54*d + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y. Let n = y + 3. Solve -n*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1125 - -1378. Solve -n*u + 255*u = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9641, -19057, -28493, -37961, -47473, -57041?\nAnswer: -66677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 32\/5, 14, -0.5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and (-2150)\/(-645)*(134\/10 + 1)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjuj when four letters picked without replacement from {k: 8, u: 5, i: 1, j: 2, w: 2}.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127.5 - 39.5. Let q = l - -165.91. Let h = -1.14 - q. Which is the biggest value? (a) -1 (b) -2 (c) h (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 3, d: 2, f: 3, a: 2, m: 3}. What is prob of picking 2 b?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24360\/13 - 1874. Sort 2\/3, -19, -0.2, j.\nAnswer: -19, -0.2, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/17)\/r**(3\/14))\/((r*r**(-21))\/(r**(2\/15)\/r)))**19 assuming r is positive.\nAnswer: r**(1291259\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.725487kg to tonnes.\nAnswer: 0.000725487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 998240 divided by -544?\nAnswer: -1835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*m**2 + 21 - 47*m**2 + 15*m**2 + 996*m**3 wrt m.\nAnswer: 5976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = -0. Let z = 6.3 - 6. Let y = z - 0.2. What is the third biggest value in y, 1\/8, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 19. Let o(n) = 6*n**2 - 28*n + 76. Let y(u) = o(u) + 4*r(u). Let b(i) = -5*i**2. Calculate y(b(z)).\nAnswer: 50*z**4 + 140*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -282789, -282781, -282761, -282723, -282661, -282569, -282441?\n\"Answer: x**3 + x - 282791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57.2? (a) 2\/13 (b) -4 (c) 0.18 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -238 - -239. Solve 0 = -2*w - q + 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -409 - -161. Let m = -248.1 - g. Let z = 10 - 9.9. Which is the nearest to -2\/7? (a) z (b) m (c) -0.001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 200536 = 6*r - 15*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 is the highest common factor of 174616 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-8)\/(-18) - (-1000)\/2250. Solve i = 10*p + p - 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 - 89 = 3*h. Solve -2*f - 4 = h*b, 2*b = -3*b + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.386 - -0.437. Let h = -121.149 - t. Round h to zero dps.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-6)*1861)\/((-9)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 0. Suppose -129 = -s*o - 39. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8)*b**(-6)*b\/(b*b\/((((b*b*(b\/((b**7*b)\/b))\/b*b*b)\/b)\/b*b)\/b))*b**7 assuming b is positive.\nAnswer: b**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 660255 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*c - 107 + 167. Solve 29*d = 27*d + c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/66 and 101\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3517408209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1278418 by -358.\nAnswer: 3571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)\/(s**(4\/7)\/s))**(-3\/19)\/((s*s\/(s*s\/(s*s**(-2\/7))))\/s**(-6\/11)*s**(-6)\/(s*s**0)) assuming s is positive.\nAnswer: s**(8453\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 19112*s.\nAnswer: 4*s*(s + 4778)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - w + 99 + 107 + 98 - 160.\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 169*f**5\/4 - 560*f**2 + 53*f. What is the derivative of q(v) wrt v?\nAnswer: 2535*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -1783250 + 19615776\/11. Factor 58\/11*r - 30\/11 - 2\/11*r**3 - n*r**2.\nAnswer: -2*(r - 1)**2*(r + 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 16 - 1. Suppose -b = 5*w, w - 15 = -5*v - 6. Let i be 22 + -1 + -3 + v. Calculate the greatest common divisor of i and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 97, -2, 0 in increasing order.\nAnswer: -2, -1, 0, 3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2)\/10*(-10)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23161403?\nAnswer: 23161403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 4*d**2 - 2*d - 2. Give p(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/15)\/((((((n\/(n*n**13)*n)\/n)\/n)\/n)\/n)\/n))**(1\/80))**2 assuming n is positive.\nAnswer: n**(259\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223398035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/32*12\/(-90). Let p(w) be the third derivative of -b*w**4 - 1\/60*w**5 + w**2 + 0 + 0*w + 0*w**3. Solve p(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - t**2 + 1 - 2)*(-t**2 + 2*t**2 + 0*t**2) + (-2 + 2 + 2*t)*(-4067*t**3 + 2230*t**3 - 5643*t**3).\nAnswer: -14962*t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 - 144 + 57 = 18*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(2) - sqrt(10)\/(sqrt(5) - sqrt(80))) + 0 - ((-2*sqrt(200) + 2 - sqrt(200))*-5)**2).\nAnswer: -9004*sqrt(2) + 135288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37025 and 23620469.\nAnswer: 590511725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 115743.6344*0.4\nAnswer: 46297.45376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.024 - -0.524. Let g = 7 - 10. Which is the second biggest value? (a) g (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 15638.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71968344479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from tzibbbitztuiw?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 10:20 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*0*8\/16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -13. Let u(f) = -c*f - 3*f**2 + 4*f - 2*f. Let q be u(-1). Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(75) + -1 + sqrt(75) + sqrt(75)) + 4*-1*(sqrt(75)*2 + sqrt(75))**2.\nAnswer: -2688 - 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*i - 7 - 23, i + 26 = 3*q. Let t(p) = p**3 + 8*p**2 + 2*p - 2. Suppose -5*r + r = 12. Calculate the remainder when t(r) is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*m - 2 - 16, -2*j + 4*m = -28. Is -1*j\/(-2)*3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.448 + -0.248. Let y = -1.95 + -0.05. Which is the closest to 0? (a) 4\/5 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/17 (b) 8 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-532))\/(956\/133840)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417 times 4766?\nAnswer: 6753422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20190)\/(-4))\/((-2)\/((-16)\/(-6))). What is b rounded to the nearest one hundred?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 4*y + 5. Calculate m(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 + 150. Let q = f - 31. Let s = q - 19. Let b(j) = j + 3. Determine b(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 8*m**2 + 4*m - 2. Let x = 3 - -3. Let q be i(x). Let j = -48 - q. Put 14, 1, j in decreasing order.\nAnswer: 14, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4816 by -86.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20931, -21248, -21569, -21894, -22223, -22556, -22893?\n\"Answer: -2*g**2 - 311*g - 20618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1389, -1226, -789, 60, 1459?\n\"Answer: 23*k**3 - k**2 + 5*k - 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4401)\/(-63) - 1\/(-7). Calculate the greatest common divisor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.9736715 to 3 dps.\nAnswer: -13.974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -229344.9603 to the nearest one thousand.\nAnswer: -229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*n + 5, n = -2*p - p + 10. What is the remainder when (-1)\/n - (-128)\/10 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39226468 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q + 5. Let g be k(6). Suppose -g*c - 235 = -28*c. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (-1*sqrt(833) - sqrt(833))**2 - sqrt(833))*-2 - (sqrt(833)*1 + 5).\nAnswer: -7*sqrt(17) + 6659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 540\/1157 or -1?\nAnswer: 540\/1157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/9 and 14\/23?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(1506\/(-759) + 2). Let r = 63 + s. What is the third biggest value in r, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7)\/(k\/k**4))**(-44)\/(((k**(2\/3)\/k)\/k*k)**(6\/11)\/(((k*k**(1\/5))\/k)\/(k\/k**0))) assuming k is positive.\nAnswer: k**(-53478\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 6*t - 2. Let v be b(5). Suppose -n - 391 + 344 = 5*o, 5*n - 5*o = -25. Put v, 4, -5, n in ascending order.\nAnswer: n, -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 823464 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 i when three letters picked without replacement from {f: 9, y: 1, i: 8, b: 1}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -12.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110\/3*u**2 - 2\/3*u**3 - 36*u + 0.\nAnswer: -2*u*(u + 1)*(u + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 4*j + 2. Let z be c(-2). Suppose 8*y - 223 = 393. Let t = 91 - y. Solve -5*b + z = -t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1940 - 1934. Solve 14 = 2*n + u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 3*m**2 - 4*m**2)*(-m + 4*m - 2*m + (2 - 2 - 3*m)*(-1 + 4 - 4) + m + 3*m - 5*m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 + 917*c\/3 - 51 = 0?\nAnswer: -153, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)\/(-6*sqrt(9)) - (sqrt(153) + sqrt(153)*-5)) + (4 + 2 + sqrt(153))*-6)**2.\nAnswer: 444*sqrt(17) + 69929\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 874425166 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -206859.2 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.4028 equal to -8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 0*l + 4*l + (-2 - 2 + 3 + (2 - 3 + 0)*(-6 + 4 + 1) + 2 - 2 - 1)*(33*l + 12*l - 13*l) to w*l + s and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 17*z**2 - 34*z + 74. What is s(15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p**2 - 3*p. Let z(s) = 10*s**2 - 3*s. Determine 4*x(c) - 3*z(c).\nAnswer: 10*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*s*x**3*y**2 + 258*s*x**2 - x**3 + 145*x**2*y**2 - 9*x*y + x wrt s.\nAnswer: -54*x**3*y**2 + 258*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(450) - 2*sqrt(1250))\/(sqrt(10) + 6*sqrt(10)*-2 - sqrt(100)\/(sqrt(10) + 1*sqrt(10))).\nAnswer: 56*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72061 (base 8) to base 6.\nAnswer: -345413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33258 (base 15) in base 11?\nAnswer: -101128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.97063ml to litres.\nAnswer: 0.07397063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 19. Let a(l) = 3*l - 5. Let m be a(i). Suppose -p + 0*p = -m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86432 and 60384?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l - 9*l + 48 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97dc8 (base 14) to base 6.\nAnswer: 11514112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v - 9. Let u be z(1). Let f be ((-36)\/(-40))\/(42\/(-35))*u. Suppose 2*r - 11 = 7. Solve -f*d + 5*l = -5*d + r, d = 5*l - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*b**3 + 24*b + 15*b - 25*b**3 - 39*b - 96*b**3.\nAnswer: -257*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6354*m**3 + 6352*m**3 - m + 197 - 5*m**2 + m in the form j + s*m + c*m**2 + a*m**3 and give j.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*c - 2156 + 2156)*(56*c**4 + 126*c + 3 - 530*c**4 - 126*c - 3).\nAnswer: 11376*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64)\/(-36) + 4\/18. Let d = -14 - n. Let j = d + 11. Which is the third smallest value? (a) -2\/9 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -1, 6\/37, 0, -3, -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 2, l: 4, b: 3}. What is prob of sequence gbb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 33 = -m - 60, 0 = 4*p + 36. Let f(b) = -4 + b**2 - b**3 - 4 - 5. Give f(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2934710 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 37. Suppose -3*l - 36 = -2*m - m, c*m = 5*l + 12. Suppose -9*x = -m*x + 196. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 123 and 594.\nAnswer: 24354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/12 - g**3\/3 - 2*g. Let v be y(2). Suppose -3*t = -v*t. Solve x + 1 = -t*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8032633?\nAnswer: 7, 229, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = -5*j. Suppose 0 = -3*z - 2*z - 10, -26 = -4*c + 5*z. Sort c, -3, j in descending order.\nAnswer: c, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*d**3 - 34*d**2 + 34*d**2 - 116*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -147*-0.036\nAnswer: 5.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 552701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 102*f - 52. Let a be l(26). Let h be 116\/72*-3 - -5. What is the second biggest value in 6\/55, h, a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2 + 8*v + 3. Let t(d) = d + 1. Let u(h) = -s(h) + 3*t(h). List the prime factors of u(6).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 2*b**4 - 7 - b**4 - 5*b**4 + 0*b**4 + (-1 + 1 + 4)*(-b**4 - b**3 + b**3) to the form u*b**2 + n*b**3 + o*b + a*b**4 + r and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147649 * 0.2.\nAnswer: -29529.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 2) + 7 + -9 + -5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 2*w**3 - 7*w**3)*(w**2 + w**2 + w**2).\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y. Let r be 6*(4\/3 - 1). Let l(m) = -4*m**2 + 2*m**2 - 2*m**r + 3*m**2. Give b(l(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-35)*(-42)\/(-18)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 910817787 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -177796205 and 56422.\nAnswer: -177739783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 190 (base 14) to base 9\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21662507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004832 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -5*v**3\/3 - v**2\/2 - 2*v + 491. Let c be (2 - 3)\/((-4)\/28). Let s(l) = 11*l**2 + 2*l + 5. Give c*h(g) + 3*s(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**3\/3 - 2*z - 17. Determine t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/9452 and -193\/924?\nAnswer: 2183412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 = 2. Let x be ((-5)\/(-10))\/(-1)*0\/z. Let t(o) = o + 3. Give t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 12 (b) -5 (c) 1674\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 210*d - 248 wrt d?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2\/5*s**5 + 374\/5*s**2 - 218\/5*s**3 + 16 + 10*s**4 - 284\/5*s = 0.\nAnswer: 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 36*z - 4*z in the form v*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2993747?\nAnswer: 863, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/11)*q**6\/q)\/(q**(-2\/7)*q*q**(1\/4)\/q) assuming q is positive.\nAnswer: q**(1495\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -9 + (-22 - -42) + -21.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 4*c. Let f = 12 - 9. Let b be 10 - (-3 + f + 2). Let i = 6 - b. Calculate x(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-605)\/(-44))\/(-11)*(-40)\/30)\/((-15)\/918)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 237174724879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-11)\/1518*20\/10.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1\/3, -4, -174?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0 + 3, 4*h = 5*f - 77639. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 476*j + 44797. What is n(-94)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 + -0.61. What is m rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1803071\/48 - 37562. Find the common denominator of t and -11\/108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5958 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/6097 and 13\/43349.\nAnswer: 3944759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*d**3 + 358*d**3 - 118*d**3 - 114*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -553, 0.3, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 30*y**2 - 57*y - 9. Let q(z) = z**3 + 31*z**2 + 59*z + 9. Let l(m) = 6*n(m) + 5*q(m). Let g be l(-23). Solve 34 - g = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*m - 5, -2*w + 0*m - 2*m + 14 = 0. Let n(i) = i**3 + 4*i**2 - 3*i - 4. Let d be n(w). Let o = d + -33. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:55 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 470377494 rounded to the nearest one hundred thousand?\nAnswer: 470400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svv when three letters picked without replacement from vvvevehsvvvvvvfthvtv.\nAnswer: 11\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6050.784 meters?\nAnswer: 6050784000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 29 = 2*u, 3*u = l - 30 + 61 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1876 and 16\/469?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 69070829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*u - 10 + 13, -u = -o - 2. Let j = -1.9 - -2. Which is the nearest to o? (a) -2\/7 (b) j (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.11891.\nAnswer: -0.011891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1\/9 (c) 6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2*n - 5*k - 151, 35*n - 5*k = -28*n + 62*n + 34 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/4 + 25*z\/4 - 1704 = 0.\nAnswer: -96, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*v - v. What is the derivative of 1 - 1 - v - w wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*t - 3*n + 98, 2*t - 52 = -3*n. Calculate the remainder when 95 is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 8\/(-12 - -140) + -55*894\/4896.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 1, b: 1, r: 1, p: 3, s: 6}. What is prob of picking 1 p and 1 w?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -1501*l**6\/120 + 271*l**5\/30 + l**3\/3 - 182*l**2 + 11*l. Find the third derivative of m(b) wrt b.\nAnswer: -9006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1206\/7 + -172. Let c = 1718 - 1741. Sort -1, c, f in increasing order.\nAnswer: c, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(2548) - -6*sqrt(2548)*-1)\/(-3*sqrt(256)*-1 + 6*sqrt(256)*1).\nAnswer: -7*sqrt(13)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 + -2 - (38 - 52) - 18) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l - 1059 + 1059.\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + q**2 - 2*q + (-4*q - 8*q + q)*(q + 2*q - 4*q).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 + 159*g + 4. Let c be y(53). Solve -4*h + 5*n = 4 - 9, -c = h - 3*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.34 - -13.12. Let r = 32 - a. Round r to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 = n, 2*l = -2*n - 2*l + 14. What is the common denominator of (82\/n)\/(10\/15) and (-395 + 341)*2\/(-40)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t + 0*t + (-2 + 0 + 4)*(-t + 2*t + t) - 2*t + t - t)*(-1 - 3 + 2)*(-13*t**3 + 53*t**3 + 2*t**3).\nAnswer: -336*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13541434259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*z + 4114 = 15034. What is the greatest common divisor of 1131 and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + ((-2)\/(-25))\/((-7)\/70)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -3)\/((6\/89834)\/3). Let a = y - -73451. Round a to the nearest 1000.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/60 and 53\/159150?\nAnswer: 318300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.52, 1, 1\/3, 1\/5, 2, -46, 0.4 in descending order.\nAnswer: 2, 1, 0.52, 0.4, 1\/3, 1\/5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -636390 < -4454726\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 29*s**2 - 30*s + 33. Calculate the remainder when 95 is divided by f(-30).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2007931 and 0.3.\nAnswer: -602379.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6827*c*f**2*t**3 - c*f**2 - 1055*c*f*t**3 - 1293*c*t + 7*c - f*t + t + 61 wrt t?\nAnswer: 40962*c*f**2*t - 6330*c*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 5. Let f(c) = c**3 + c - 1. Let p be f(0). Let w(j) = -1. Let r(q) = p*z(q) - 6*w(q). Suppose -s = 3*s + 16. Determine r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:04 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1058392388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4165 - 2423. List the prime factors of o.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000001 (base 2) in base 16?\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -0.43, 0.49, 0.4204 in descending order.\nAnswer: 0.49, 0.4204, 0.06, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 divided by 7?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4044 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 422025630 divided by 2099630\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((340\/(-120))\/(10\/60))\/(2\/4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-4\/7)*d)\/(d\/d**3))\/(d**4\/d**(2\/5)))**15 assuming d is positive.\nAnswer: d**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 + 4*h**3 - 2 + 6*h**3 - 4*h**3.\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-5 - (-12 + 5))) + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38843280.\nAnswer: 2, 3, 5, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {q: 7, o: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19\/19 - (0 - 297) is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501 (base 7) to base 5.\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4699 - -8429. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25767*l**2 + 26814?\nAnswer: -51534*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 250575 smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -19.\nAnswer: -49\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6538)\/42*(-24)\/(-20). Is -187 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1300.204 + 1300.2. Let r = 0 + -0.1. Are l and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 560268335 and 1.1198.\nAnswer: 560268336.1198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -86 (c) 2\/335 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17661 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*387\/54 - -14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -227 + 452. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 1 - (25 - -6 - (-165 - -134))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*21\/(-245)*(-7)\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 3*b + 5. Let y be j(-2). Solve -4 + y = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3126 = 4*v - m, 4*m + 4 = -4. Find the second derivative of 781*d**2 - 13*d - v*d**2 + 89*d**3 - 1 wrt d.\nAnswer: 534*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232670?\nAnswer: 2, 3, 5, 17, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 1599.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1133388 and -494116.5.\nAnswer: -1627504.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 0*t - t + 3*t + 0*t. List the prime factors of b(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -297, -310, -323, -336, -349, -362?\n\"Answer: -13*v - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.976831 milliseconds in microseconds?\nAnswer: 976.831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2*g - 2*g**3 + 4*g**3 - g**3 + 2*g**3 + g**2 - g**3 - g**2 + (-6*g + 3*g + 4*g)*(-2 - g**2 + 2).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/518*(-12)\/828 and 46\/9?\nAnswer: 7659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 546*t + 74458. What is w(281)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 244013?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-20))\/(-2*(-98)\/(-35)). What is the fourth smallest value in -0.1, -4\/7, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/((-5840)\/15768)*5\/6.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*u + 8, -3*x = -3*u. Let v(y) = -y**2 + y + 2. Let c be v(0). Let n(h) = 3*h**2 - h + 3 - 5*h - 2*h**c. What is n(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(684) - (-1 + sqrt(19)*1)) + -5*(3 + sqrt(2736) + -2))**2*5.\nAnswer: 3880*sqrt(19) + 893935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 4, q: 1, c: 3, f: 4}. What is prob of picking 2 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -621.4*-1246\nAnswer: 774264.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 18. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 6 - 8*g**2 + 7 to the form f + l*g**2 + a*g and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3531 is divided by 2578?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004\/(-20)*4\/(16\/(-60)).\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 32865*w + 1117410. Give o(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9365?\nAnswer: 5, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, and 1 g when three letters picked without replacement from {w: 1, g: 3, y: 4, f: 4, c: 2, a: 3}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11328 by -24.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -1. Let m(q) = 7*q**2 - 2*q. Let w be m(1). What is the second biggest value in v, w, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70360038 is divided by 1720.\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-18\/5)*k*k**(3\/16)*k*k assuming k is positive.\nAnswer: k**(623\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 103050309 - 103050309.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 11 + 83 + -89 - -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyynldxxxn. Give prob of sequence lx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*k + 94 = 371*k - 2*v, -4*k + 82 = -2*v + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-305)\/(-36) - 3*(-55)\/(-33) and 61\/21.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 75741*o + 1677*o**5 - 75741*o - 4*o**5 + o - o - 2*o**5 + o**5 + 3*o**5 + (-o + 2*o**2 + o)*(1 - 2*o**3 - 1) - 2*o**5 + 3*o**5 + 0*o**5.\nAnswer: 1672*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1100212120 (base 3) to base 15\nAnswer: -7e70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58060 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 3*l + 0*l)*(7*l + 21 - 21) - 24 + 10 + 166*l**2 + 14 as p + t*l + u*l**2 and give u.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = b - 3, 0 = -5*i - 0*b + 4*b + 30. What is the remainder when i + 4\/(-4) + 80 is divided by 14 - (15\/3 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzz when three letters picked without replacement from {r: 5, z: 2, s: 3, f: 9}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 3*r**2 + r + 5. Let l = -7 - -3. What is the units digit of a(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, i: 8, a: 8}. What is prob of sequence aaai?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 377 - 1621.\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*x - 10, l - 23 = x + 6*l. Suppose m = -2*q - 2, m - x*q + 0*q = 6. Find h such that -4\/7*h + 2\/7*h**m - 6\/7 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 155 and -1.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/8*1758)\/1. Suppose -3*b + 0*b = -z. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/13)*r*r*r)\/((r**(-1\/5)*r)\/r))**(-9\/10)\/((r*((r*r\/r**(1\/3)*r)\/r)\/r)**(-36))**(-7) assuming r is positive.\nAnswer: r**(-137481\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 573 + -573. Solve f = -z*f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512575?\nAnswer: 5, 7, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -347824?\nAnswer: 347821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37352 - 0.2\nAnswer: -37352.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*s = -4883, 5*x + 7*s - 5*s = -4903. Let m = -694 - x. What is the greatest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15*l + 880 = 0. Solve 13*f + 5*f**4 - 30*f - 83*f - 5*f**3 - l*f**2 = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 - 1777*v**2 - 3*v**3 + 1777*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 7:58 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-9)*33\/6. Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568.983002 less than -0.10434?\nAnswer: -569.087342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 12. Let j(v) = v**2 + 3*v - 6. Let w be j(-5). Let s be w\/10 + (-14)\/10. Put z, -2, s in ascending order.\nAnswer: -2, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13202220233 + 20?\nAnswer: 13202220313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 + 13*a**3 - 4*a**2 + 3*a**2 - 36 + a**2 + 34 to u*a**4 + f*a**2 + p + v*a**3 + s*a and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11471.4969 - 11471. What is n rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*h = 250*h + 250 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -3, -4, 0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4 + 150*a**3 - 3567*a**2 - 132542*a + 135960 = 0. What is a?\nAnswer: -20, 1, 66, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioio. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8012 - -7999.4. What is the nearest to 1 in 8, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 616\/(-42)*-35*87\/(-812)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) - -5*sqrt(243)\/sqrt(9).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {l: 2, c: 2, f: 3, s: 3, h: 4, b: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.5 - -13. Let m = 2.5 + 1.5. Put m, k, 1 in decreasing order.\nAnswer: m, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i*i*i*i*i**(1\/3)*i)\/i)\/i*i)\/i**26)\/((i\/(i\/(i\/((i**(-18)*i*i)\/i)))*i*i)\/((i*i*i**19)\/i)) assuming i is positive.\nAnswer: i**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 718*s + 986. Calculate x(-1).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 13, -37, -139, -311, -571, -937, -1427?\nAnswer: -2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21114)\/(-12))\/51)\/((-3)\/8 - 0)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 + -161. Suppose y*d + 788 = 4*l, -11 + 209 = l - d. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 9*i**2 - 6*i - 6. What is f(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 1516866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15238 + -15241. What is the nearest to 44 in 1\/9, -1, j?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 - 25*p**2\/4 + 403*p + 1696.\nAnswer: -(p - 32)*(p + 4)*(p + 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25622 and 168544?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/7 + ((-44390)\/(-70) - -11). Let b = q - 290. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a decade in years?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) + sqrt(450)*1*3)*6)\/(-6*-2*sqrt(1296)*-6).\nAnswer: -5*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 38 + 42 - (0 - 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 271 - -209. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/121 and 62\/5225.\nAnswer: 57475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -8, 0, 7, 1 in decreasing order.\nAnswer: 7, 1, 0, -1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 38*m + 74. Give r(22).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -65, -5 in ascending order.\nAnswer: -65, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*f + 2 = 4, 2 = 2*g - 2*f. Suppose u - 6 = -u. What is the third derivative of 2*l**2 + u*l**5 - l**5 - g*l**5 wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/2416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*i - 3 = -9*i + 7, 6*i = 2*i + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -43. Let v(i) = -19 + 31 - g + 47*i. Let w(b) = -2*b. Give v(w(t)).\nAnswer: -94*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(12\/11)*f**5*f**17*f\/(f**(-10)*f) assuming f is positive.\nAnswer: f**(364\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q*(q**(-2\/9)\/q*q)\/q*q)))\/(q\/q**2))\/(q*q\/(q*q*q\/(q\/(q*q*q*(q**14\/q)\/q*q))*q*q))**(-1\/6) assuming q is positive.\nAnswer: q**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/27 (b) 0.2 (c) -39 (d) -0.13 (e) -1 (f) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**4 + 130240*h**2 - 6334*h - 2 wrt h?\nAnswer: 108*h**2 + 260480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - b + 7*b)*(67*b - 17*b + 17*b) in the form o + k*b**2 + d*b and give k.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from acadcrrarrkdll?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 377142075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1546075?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-861)\/(-574) + (-86)\/4 - 56?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 11:25 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 - 1 = 0, 4*b - 444 = -4*s. Find the common denominator of 22\/13 and 17\/3*s\/84.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2. Let v be x(2). Suppose 2*m - 100 = -2*m - 4*f, -5*m = -2*f - 139. Let c(r) = 11 + r**2 + 11 - 2*r - m. Give c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13845 and 26625.\nAnswer: 346125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 6. Let a be d(4). Let h = a + 21. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/13 + -25\/52. Let n = -1.3 + 0.3. Which is the smallest value? (a) o (b) -2\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -100384?\nAnswer: -100374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -4, 4, 0 in decreasing order.\nAnswer: 66, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1093 = 383. What is the remainder when g is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 117 = 2*n, 4*x = 5*n + 11 + 278. Let y be 4\/20*n*-5. Calculate the highest common divisor of y and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860282490.\nAnswer: 2, 3, 5, 4691, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15277 - 5?\nAnswer: 15272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7.999775. What is m rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -161\/10, 1\/8, -2\/3, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -229672 equal to -229676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 7988*r + 1123616.\nAnswer: 2*(r - 3848)*(r - 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:47 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2491, -5, 60, 135, -4.\nAnswer: -5, -4, 60, 135, 2491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 4, -30, -70, -110, -144?\n\"Answer: a**3 - 12*a**2 + 7*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1567967 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 (base 10) in base 6?\nAnswer: -2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -1\/4, -4, -16, -1\/673, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1067, -2135, -3203?\n\"Answer: -1068*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*w + 11353*h*y - 2400*w*y - 11*w with respect to h.\nAnswer: -2*w + 11353*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9157152 divided by 295392?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p - 278. Let x be b(-56). Solve x*a - 4 = -3*q, -2*a = 2*a + 2*q - 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*5*9\/45)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 14 = -2*n. Suppose k + 5*v - 405 = 0, -3*k = -2*v - n*v - 1272. What are the prime factors of k?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1118)\/3354 - (2749\/(-3) - 1 - 0).\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 13) in base 12?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**2*b - 15572*a**2 - 2*a*b - 154*b + 70 wrt a?\nAnswer: 8*b - 31144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 14*n + n. Suppose -5 = f + 4*a + 4, 3 = n*f + 3*a. Solve -f*h + 15 = 5*t, 0*h + 2*h - 10 = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 113, -0.278, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -15. Let h be a + -1 + 12\/4 - 1. Is (h\/10)\/((-3)\/(-2802)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 436 = 21*k + 9*k - 1207 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.5 - -12. Let j = 2104\/3 + -701. Let o = 48.2 - 48. Which is the fourth smallest value? (a) v (b) -0.4 (c) j (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*g + 4*a, -10*g + 9*g - 7 = -2*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 3*k - 36. What is the smallest common multiple of k and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/6 equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/28 and -2 - (211\/(-36) + 3)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 61 = 3*f - 22, 140 = 5*f - 5*p. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-one halves of a gram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2574)\/(-126) + -6*7\/98. Let b(z) = 9*z - 171. Give b(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14129 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5648746 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 8*y**2 + 10*y + 10. Let q be i(-7). Let p = -6 - q. Let t(w) = 2*w**2 - 4*w - 1. List the prime factors of t(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1592 + 62*u**3 - 9*u - 2*u**3 - 11*u**3 + 17*u**3 wrt u?\nAnswer: 198*u**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-5*l + 2*l + 2*l)*(-2 - 1 + 1).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 10*o - 32. Is 11 a factor of i(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273 - -461. Let p = 1318\/7 - j. Let q = 1 + -0.7. Sort p, 0, q in increasing order.\nAnswer: 0, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 + 5*b**2 - 5*b - 31. Let w(d) = -d**3 + 3*d**2 - 3*d - 16. What is 3*h(y) - 5*w(y)?\nAnswer: -y**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -565 - 28*j**4 - 498 + j**3 + 904 with respect to j.\nAnswer: -112*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377.8 at least -1122.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -439, -439, -429, -403, -355, -279, -169, -19?\n\"Answer: x**3 - x**2 - 4*x - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 96. Is 59 a factor of 63 + (-30)\/9 + w\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 113*w - 48. Determine r(-1).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**3 + 11*g**2 - 9*g - 29. Calculate l(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, o: 7}. Give prob of sequence oy.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 17410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:11 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 11*p + 3. Let k(w) = w**2 + w. Let r(m) = -f(m) + 3*k(m). Let q be r(9). Differentiate -6*d - 1 + q*d - 2*d**3 wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35*43\/7224)\/((-120)\/2432).\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38e (base 15) to base 8.\nAnswer: -1451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -755? (a) 4\/15 (b) 0.5 (c) 3\/2 (d) -4 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4665*u**3 - 3*u**2 + 13*u + 10. Let a be b(-14). What is a rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 4 (c) -211 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 + 143 - 411 + 140 - 6*v**2.\nAnswer: -6*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5 + 81968*m**4 - 3276720*m**3 + 49140800*m**2 - 327572000*m + 818880000.\nAnswer: -2*(m - 40944)*(m - 10)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**8\/3360 + 11*s**7\/2100 + s**6\/150 - 31*s**5\/75 - 17*s**4\/5 - 12*s**3 + 1620*s**2. Suppose r(h) = 0. What is h?\nAnswer: -6, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020054 is divided by 1774.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4342.3 - -4380.338. Let z = 0.267 - 38.267. Let x = z + q. Round x to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -4*h - 1\/3*h**4 + 0 - 1\/6*h**3 - 10*h**2. Give f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -604190319*n**3 + n**2 + 31750*n - 776 wrt n?\nAnswer: -3625141914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (3 - -4) - -6. Solve 3*o - y = -3*p, 4*p + 3*o = 8*o + 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5569 is divided by 556.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-2\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 83*z**2 + 30*z - 269. Calculate m(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 14. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 61, -2, 3, 2, 1.\nAnswer: -2, 1, 2, 3, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*b**3 - 10298*b**2 - 1714*b + 1716 = 0. What is b?\nAnswer: -858, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3833.\nAnswer: 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1027497.\nAnswer: -8\/1027497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -333 + 248. Let c = 0.722 + -0.422. Sort c, -0.1, b.\nAnswer: b, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 1\/13*x**6 - 1\/26*x**4 + 0*x - 2\/13*x**2 - 14\/39*x**3 + 14\/65*x**5 - 10. Find t, given that j(t) = 0.\nAnswer: -2, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 302, 458, 672, 950, 1298?\n\"Answer: c**3 + 23*c**2 + 80*c + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**3\/3 + 3*m**2 - m. Let u be 1 + 1 - (-2 - 2). Let o(b) = 38 - 84 + 45. Calculate u*o(j) + w(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*y = -8, 4*a + 0 = 5*y - 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2122, 2252, 2396, 2560, 2750?\n\"Answer: w**3 + w**2 + 120*w + 2000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-12))**(-38)\/((s\/s**5)\/(s\/(s*s*s**(-28))*s)))**(-28) assuming s is positive.\nAnswer: s**12936","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 159, 1494, 5191, 12432, 24399?\n\"Answer: 197*x**3 - x**2 - 41*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.118441 + 0.088441. Suppose -2*o - 3*o - 25 = 0. Which is the closest to i? (a) -9 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-44)\/12)\/(6\/(-31662)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -116 - 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 36. Let w be b(0). Let c(v) = 53*v**3 + v**2 - 2*v + 2. Let q be c(1). What is the highest common divisor of w and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6363977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 20 (c) -0.2 (d) 5\/3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4056*f**2 + 104*f. Let k(r) = 4*r. Give k(h(z)).\nAnswer: -16224*z**2 + 416*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, k: 3, x: 2}. What is prob of sequence kk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15638 divided by 2\nAnswer: -7819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22122 + -2255?\nAnswer: -24421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 580 - 588. Calculate the remainder when -6 + a + 19 + (0 - -83) is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 19*i = -4*v + 25, -v + 7 = i. Solve 0 = -v*b + 5*z - 25, 5*b = 3*z - 10 - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 1\/9, 1\/2, 0.2, 0.9 in decreasing order.\nAnswer: 0.9, 1\/2, 0.2, 1\/9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + (-7 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffnnfnnfn. Give prob of picking 2 n.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.3839 rounded to 1 dp?\nAnswer: -55.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -26, -40, -54, -68?\n\"Answer: -14*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*q - 420 = 0, -l - 9*q + 948 = -0*q + 151 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 4, -4 in descending order.\nAnswer: 4, -4, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**2\/3 + 400*z + 2416\/3 = 0.\nAnswer: -2, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -29. Suppose 3*t - s = t. Solve 0 = 4*x + f + 20, f - 5 - t = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/12 + 3*c**3\/2 + 3*c**2 + 1305*c - 1. Calculate y(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 634*o**2 - 16*o + 10. What is k(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 7*u - 10. Is 16 a factor of h(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -4.08583?\nAnswer: -36.77247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t**4\/5 - 7257*t**3\/5 + 1532304*t**2\/5 + 545412*t\/5 - 1432368 = 0.\nAnswer: -980, -7\/3, 2, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6965451 millilitres?\nAnswer: 0.0006965451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**7\/840 - o**6\/240 - o**5\/20 + 19*o**4\/24 + 23*o**2. Let v(k) be the second derivative of m(k). Solve v(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 1, -5\/2, 131, -0.4 in decreasing order.\nAnswer: 131, 1, -0.06, -0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17318 - -29061. What are the prime factors of n?\nAnswer: 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 53979761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 130 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15872 divided by 2\nAnswer: 7936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -4. Let v = 18 - 18. What is the closest to v in 0.2, u, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 37, 67, 115, 187, 289, 427?\n\"Answer: m**3 + 11*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a3b138 + -40?\nAnswer: -a3b178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6403698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31801126571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -61. Suppose 14*v - n*v + 4 = 0. Suppose 2 = 2*i + 3*k, 4*i + 2*k = v + 3. Sort i, -4, -2 in descending order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.08169 micrometers to meters.\nAnswer: 0.00007808169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + -4 + (-6 - (-12 + 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 58?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.116, 3, 7, -24\/19 in decreasing order.\nAnswer: 7, 3, -0.116, -24\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + 0.50377035623791\nAnswer: 0.52377035623791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 109 = 34 + 47. What is the remainder when 5190 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1084077*p**2 - 3515458 with respect to p.\nAnswer: 2168154*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*s**2 - 154449\/2 + 393*s.\nAnswer: -(s - 393)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Suppose -36 + 51 = d*m. Solve m*w + 3*t - 1 = 0, 4*w - 6 + 4 = -3*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34316519 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/4*108\/135. Solve 0 = -5*n + 3*p + 18, 0 = 5*n + 2*p - p - h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 9*l - 2. Let w be s(5). Let t(g) = -g**2 + 5*g + 3. Let v be t(5). Suppose 0 = v*b - 5*b - 16. Which is bigger: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q + 8. Let t be b(-3). Let f = 3 - t. Let x = 28 + -12. Calculate the lowest common multiple of f and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11 + 0*p - 6*p - 6. Let n = -32 + 22. Does 11 divide o(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/120 - 2*t**5\/15 - t**4\/2 + 24*t**3 + 185*t**2. Factor a(w).\nAnswer: (w - 6)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -2*z**5\/15 - 11*z**4\/12 + z**3 - 3*z**2\/2 - 2*z. Let j(b) be the first derivative of m(b). Factor j(k).\nAnswer: -2*(k + 3)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 4)*(-14 - 10 + 5)*(1 + m - 1)*(-m**3 - 2 + 0*m**3 - 2) as r*m + n*m**2 + u + w*m**3 + a*m**4 and give r.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -0.4 (b) 47 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191971 - 22325 = -8929*i for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102.3 + 97. Let l = 15 + -10. Let p = l + o. Which is the second biggest value? (a) p (b) 2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 461924 by -68.\nAnswer: -6793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1189*124\/(-25172))\/((-2)\/(-14)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/4 - (-16 + 1 + -1). Suppose 4*n - 13*p + 16*p - 27 = 0, -2*n - 2*p + 16 = 0. What is the remainder when (2\/((-4)\/b))\/(30\/(-120)) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + l - 3*l + 4 = 0, -4*l = -t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 10*w + 19. Let x be i(8). Let -2\/7*g**4 + 0 + 0*g + 0*g**2 + 0*g**x = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*c + 426 = 269 - 12688 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6080 and 470.\nAnswer: 285760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-3 - (-8)\/4). Suppose -2*x - 4*z + 82 = 0, 5*x - 149 = z + w*z. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2464 divided by -11?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 10*t**2 + 6*t - 163. Let p(j) = j**3 + 14*j**2 + 8*j - 244. Give 7*o(c) - 5*p(c).\nAnswer: 2*c**3 + 2*c + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 6843791555662?\nAnswer: -6843791555658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2526356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 6*g - 5. Let v be s(-7). Does 4 divide 4\/v*(6 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 155977910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (59 - (-26 + 15)) + (-11 - -2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 11. Suppose 0 = q - 4*c - 32, 40*c - 39*c = -4*q + 43. Let w = q - y. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -23*l + 1. Let x(t) = -114*t + 4. What is -14*b(g) + 3*x(g)?\nAnswer: -20*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4168, 4977, 6324, 8209, 10632, 13593, 17092?\nAnswer: 21129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from fbftt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 63*a**3 + 8*a**2 + a - 8. Let o be n(7). Let j be 8\/3 + (-2)\/3. Suppose -3*q = j*q + o. Round q to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003 times 0.4758?\nAnswer: 0.0014274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i - 4. Let h be 5\/(-2)*i\/5. Find the second derivative of -3*x + 3*x**2 - x**h + x wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7569*s + 22463 wrt s.\nAnswer: 7569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*k - 376, j + 2*k = 57 + 36. Calculate the highest common divisor of 209 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 8. Let c(z) = z + 7 - 5*z - 5 + 222223*z**k + 3. Let i be c(3). Round i to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(d**2 + d**3 - d**2) + (3*d - 2*d + d)*(d**2 + 2*d**2 - 5*d**2) + 37*d**3 - 87*d**3 + 46*d**3 + (-5*d + 3 - 3)*(-1 - d**2 + 1).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 1. Let y(u) be the second derivative of u**5\/60 - u**4\/24 + 11*u**3\/6 + 9*u. Let p(i) be the second derivative of y(i). Calculate -k(j) + p(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.06 - 13.06. Let k = 9 + -10. Which is the closest to -3? (a) 29 (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - 26*126\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8776015 times -6\nAnswer: 52656090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2970407 to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 30*x + 246. What is b(-26)?\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-13))\/((-87)\/(-1508)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-216))\/((-4)\/(-256))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 19*h**2 - 33*h + 18. Let w(p) = -p**3 + 6*p**2 + 11*p - 6. Let c(u) = -2*d(u) - 7*w(u). Let j be c(7). Let y = -46 + j. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 u when three letters picked without replacement from ppuujru.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135 + 137. Sort f, -16\/9, -4, 0.\nAnswer: -4, -16\/9, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -13, -1\/22 in increasing order.\nAnswer: -13, -3, -1\/22, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 435*-884989\nAnswer: -384970215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(1536))\/sqrt(12).\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 589, 1148, 1707, 2266, 2825, 3384?\nAnswer: 3943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 313440709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8*n*n**(-25)*n assuming n is positive.\nAnswer: n**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 25)\/(4 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 5. Let j be 8\/s + 2\/6. Which is the biggest value? (a) 3 (b) j (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 5 = -3*m + 2*n, 5*m + 5*n = -10. Suppose m*q = 11 + 9. Factor -3*d - 8 - 7*d - d**3 - 6*d - d**3 - q*d**2.\nAnswer: -2*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9030.534 + -9252.53398. Let y = d + 222. What is y rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2. Let x(q) be the first derivative of -q**5\/12 - q**2\/2 - 2. Let m(c) be the second derivative of x(c). What is y(m(t))?\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -19*g**3 + 7*g + 11. Let u be j(3). Let m = 852 + u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 7*h**4\/2 - 33*h**2\/2 + 13. What is the second derivative of u(m) wrt m?\nAnswer: 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(1*sqrt(2)) + 0.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {f: 1, j: 4, v: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 21288*i - 37764912.\nAnswer: -3*(i - 3548)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 418, 934, 1654, 2578, 3706, 5038?\nAnswer: 6574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14254 = -4*f - 3*q + 15721, 3*q + 29969 = 4*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + m + 60 - 50 = 0, -5 = m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 = 10*a - 8, a + 23 = -5*v. Let q(t) be the third derivative of 1\/27*t**3 + 43*t**a - 7\/270*t**5 + 0*t + 1\/18*t**4 + 0. Solve q(x) = 0.\nAnswer: -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 5*g**2 + 5*g - 11. Let a be q(5). Solve 0 = -4*c, 2 = -4*j + 2*c + a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2, 0, -1849.328, 1.\nAnswer: -1849.328, -2, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f - 10. Let u be i(-2). Let s(a) = -a**3 - 25*a**2 - 28*a - 9. What is the units digit of s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 - 7*h - 7. Let r(k) = 3*k**2 + 6*k + 6. Let o be (-32)\/(-7) - 2\/14*4. Give o*c(a) + 5*r(a).\nAnswer: 3*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j + 4. Let v = 20 - 17. What is the tens digit of d(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/123*972\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -12*x**5\/5 - 12124*x**4\/5 - 3220*x**3 + 8892*x**2 + 64592*x\/5 + 16144\/5 = 0.\nAnswer: -1009, -2, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1965, -2516, -3067, -3618?\nAnswer: -4169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4 = -2*c. Let x(u) = -u + 2. Let g(f) be the first derivative of -5*f**2\/2 + 11*f + 2. Determine c*g(m) + 11*x(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*n - 16*n - 77 - 22. What is the smallest common multiple of n and 156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -45*u + 6. Let l(y) = -34*y + 9. Let s(k) = -3*a(k) + 4*l(k). Let r(d) = -d + 9. Determine 5*r(o) - 3*s(o).\nAnswer: -2*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 8. Let p be n(2). Suppose m = -p*f + 12, -f + 3*m = -2*f + 14. Suppose f*o - 344 = -2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1779, 2667, 3525, 4353, 5151, 5919?\n\"Answer: -15*j**2 + 933*j + 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -568.3 + 41.3. Let d = p - -527.4. What is the biggest value in 1\/2, -3, d, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/313896 and -139\/10824.\nAnswer: 313896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -119 (c) 5918 (d) -4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -283, -648, -1151, -1786, -2547?\nAnswer: -3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/60)\/((-6)\/5*1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 19*r**3\/6 - r + 94. Let a(l) = 740*l - 1360. Let m(f) = -13*f + 24. Let y(t) = 6*a(t) + 340*m(t). Determine y(n(j)).\nAnswer: 380*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -405566, -405637, -405740, -405875, -406042?\nAnswer: -406241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10728 minus -0.1?\nAnswer: -10727.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 9\/3)*(-80)\/(-12). Suppose -5*a + c = 4*t, -4*t - 17 = -3*a - 5. Solve 0 = -t*r + r + 2, -24 = 5*f + 2*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1260.46703 + 0.06703. Round j to the nearest 10.\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/4 + 3*u. Let g(k) = 13*k + 1. Let q be g(3). Let r(o) = o - 40 + q. Calculate p(r(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n + 74. What is f(-13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 4*h**2 + h - 4. Suppose -3*v - v - 28 = -4*k, -k = -5*v - 19. What is g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 17835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -726287\/56 + 12970. Find the common denominator of -69\/20 and x.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2. Let m(g) = 241*g. Determine i(m(w)).\nAnswer: 174243*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-4\/13))\/n*n\/(n\/(n*(n\/(n*n**(8\/5)\/n))\/n))*(n**(-8)\/n)\/(n*n\/(n\/n**15)))**(-48) assuming n is positive.\nAnswer: n**(78912\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 2. Let x be i(2). Let b be (0 + -1)\/(x*(-7)\/98). What is the highest common divisor of b and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -7. Suppose 32 = -0*h + o*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -27?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (3 - 85\/75). Let u be 1 - 5\/2*4. Let q = -13 - u. Which is the third biggest value? (a) t (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -168685, -168585, -168413, -168163, -167829, -167405?\n\"Answer: k**3 + 30*k**2 + 3*k - 168719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t**(-2)*t)*t)*t*t**(-5\/3))\/(t**(1\/3)\/t*t**(-6)) assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 12094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, -2009, -25 in descending order.\nAnswer: -5, -11, -25, -2009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3 + (-4 - -5) - -25) + 3?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l - 17980 = 14*l. Suppose -4*x + 3*p - 1235 = 0, 2*p + 2108 - 547 = -5*x. Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + z**2 - z**3 + z + z)*(-17 - 4 + 9).\nAnswer: 12*z**3 - 12*z**2 - 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2384, -12366, -29002, -52292, -82236, -118834, -162086?\nAnswer: -211992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, 31, 35, -1, 5 in increasing order.\nAnswer: -229, -1, 5, 31, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784810609?\nAnswer: 1784810609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 36 = 4*o, -5*o - 32 = 4*r - o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 + -136. What is the remainder when 82 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*q**2 - 4909277*k**2 + 4*k*q**2 - 10898586*q - 90 wrt q.\nAnswer: 2*k**2*q + 8*k*q - 10898586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/25 + 4\/(-10). Let c = 6 + i. Solve 4*h - 2 = 2*x, -c*x + 3*x + 4*h = 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/8 + -1 + 2. Suppose 0 = -3*f - 3*h + 159, k*f + h = f - 47. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -189.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3243*f**2 - 10829*f**2 + 4*f**3 + 87 + f - 87.\nAnswer: 4*f**3 - 14072*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2057) + 5)**2 - sqrt(2057)*2*4)*-3.\nAnswer: -37476 - 1716*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -93.04. Let i = b - 0.23. What is the closest to -0.1 in 0, 0.3, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c79b + -2a1?\nAnswer: -8ca6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -102 + -9f93b?\nAnswer: -9fa3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0058, -5, 5, -2\/9, -2.\nAnswer: -5, -2, -2\/9, -0.0058, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -18589 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {l: 1, j: 1, e: 1, o: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*c*p**3 - 5*p**3 + 5 with respect to c.\nAnswer: 93*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/20*(2 - -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36604 is divided by 473.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3427746 decades to millennia.\nAnswer: 0.003427746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -164039, -326906, -489775, -652646, -815519, -978394, -1141271?\n\"Answer: -p**2 - 162864*p - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 12*w**2 - 13*w + 4. Let i be j(13). Suppose -6*v = -3*v + 5*n - 127, 3*v + i*n - 125 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.6 - 2355919215\nAnswer: -2355919200.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.59 + 1.19. Suppose -3*q - 19 = 5*g, 3*g + 4*q - 13 + 31 = 0. Let l be (10\/4 + g)\/1. Which is the nearest to l? (a) 0.3 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-68)*8*((-90)\/(-10))\/18.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1118 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 15*x + 5. Calculate f(6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*v + 2148 = -72*v - 19076 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3) - sqrt(17))*2 + 3 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 25234404*o + 25234414*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o*o**(1\/16))*o**(-2\/11)*((o**(28\/9)*o)\/o)\/((o**(2\/11)*o)\/o) assuming o is positive.\nAnswer: o**(5837\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 480 + 8931.\nAnswer: 9411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -8 - (7 - (-20 + (13 - 8))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 446997 and 10727928?\nAnswer: 10727928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 215301844429 from -31.\nAnswer: -215301844460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q*(q\/q**(-4))\/q*q)**20\/((q*q**(1\/2))**47)**(-2) assuming q is positive.\nAnswer: q**301","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1650744 and 119786?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/(-35))\/(3 + -2). Solve 1\/5*a**2 - 1\/5 - 1\/5*a + q*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702928706.\nAnswer: 2, 821, 428093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 3 = -27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 26. Let o be u(-5). Solve -3 = -13*w - o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1659*s + 28. Let w be c(8). Round w to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 45. Suppose 3*h - 15075 = -4*k, k = -4*k - 2*h + 18849. Does 21 divide p\/(-4) + k\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577 = -7*f - 9*f - 49. Solve f*i = 9 + 123 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10257, -40965, -92127, -163743, -255813, -368337, -501315?\n\"Answer: -10227*i**2 - 27*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 206968058?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*g**2 + 120*g**2 + 117*g**2 + (-2 - 2 + 1)*(-4 - g**2 + 4) + g**2 + 3*g**2 + 0*g**2 as l*g + b*g**2 + c and give b.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*u - 24*u - 5379048. Suppose 19*i - 8219984 = u. Round i to the nearest 10000.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0.1, 13, -2\/3, 4, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 9*y - 5. Let f be q(9). Let a = -784\/195 - 46\/39. Are f and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(78)*2 + sqrt(78) - sqrt(78) - sqrt(78)) - (sqrt(78) - -2*sqrt(78))*4)\/(-6*sqrt(54)*-4).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 17*j**2 + j - 16. Let l be k(17). Let x be l\/(4\/2)*86. Let w = x + 23. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/45*666\/(-592))\/(9\/2)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {c: 5, u: 7, h: 5, d: 2}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (28\/6)\/(((-24)\/45)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 - 20?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 315646 plus -0.4?\nAnswer: 315645.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 67*(-21)\/6*18\/(-21). Let w = d + -176. Sort 0, w, -4.\nAnswer: -4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -22 - (42 - 13).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418157 is divided by 6147?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 8*q**2 + 7*q - 2. Let a(p) = p**3 - 7*p**2 + 6*p - 3. Let d(h) = 3*a(h) - 2*z(h). Is 4 a factor of d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 9.8 (c) 1979\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r**2 + r**2 - 4*r**2)*(2 + 2*r - 2) - r**3 - 2*r**3 - r**3)*(-5 - 1 + 4)*(-r - r + r).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19354819 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3424340 - 222240?\nAnswer: -4202130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1.706.\nAnswer: 0.1706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:21 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2052.\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2.6, 5, -0.109 in increasing order.\nAnswer: -2.6, -0.109, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.04 + 0.04. Let d = o - -8. Which is the closest to -3? (a) d (b) -0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13500 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 + r - r**4 - 2*r**2 + 6*r**4 - 10 - 3*r**4 to the form s*r**3 + i + q*r + n*r**2 + b*r**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 3*z + 5. Let y be g(-4). Suppose -5 = -2*t + y. Let h be -1*(-45)\/(0 + t). What is h rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 5:41 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o\/o**(-1\/17)))*o*o**2*(o**(-15))**(-12\/11) assuming o is positive.\nAnswer: o**(3819\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9857*t + 4962*t + 4519*t.\nAnswer: -376*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/48 in -6\/7, 3, 5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 238*s - 431*s + 181*s + 5. Let w(o) = 11*o - 4. Calculate 3*w(n) + 2*y(n).\nAnswer: 9*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/11)*c*c*c\/(c\/(c\/(c*c\/((c*c**(-39)*c)\/c))))*c*c)\/(c*(c**(-23)*c)\/c)**5 assuming c is positive.\nAnswer: c**(835\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v + 3, 2*p - 12 = 4*v. Let w be 1\/1 - 10\/p. Which is smaller: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 5*p + y, -4*p - y = -7*p + 116. Let l(a) = 2*a - 46. Calculate the least common multiple of p and l(27).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36677, -36585, -36491, -36395, -36297?\n\"Answer: s**2 + 89*s - 36767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:01 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14839443?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 12, -6 in ascending order.\nAnswer: -6, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3380.12375 - -3380. What is z rounded to 3 decimal places?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (441\/(-12) + 0)*4. Let x = r + 247. Find the third derivative of 109*g**4 - g - 14*g**2 - x*g**4 + g wrt g.\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99\/22508291 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -45 + (14 - -20)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -73. Factor 389*v**4 - 21*v**2 + 3*v**3 + 12*v**3 - 392*v**o + 8*v + v.\nAnswer: -3*v*(v - 3)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p - 32*p + 835 = 60*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 2. Let w(u) be the second derivative of u**3\/3 - u**2\/2 + 4*u. Let b be 3\/(-2)*(-4 + 0). Determine b*o(q) - 10*w(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 - 5*m**3 - 4*m**2 + 3*m**3 - 3*m**3 + 2*m**3 + (-14 + 10*m**2 + 14)*(1 - 1 + m) + 4 - 2*m**3 - 4.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 + 37. Let w = d + -173.9999932. Round w to 7 decimal places.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Suppose 0*w - 3*w - r*s = -89, -2*w + 3*s = -31. Let a = w - 16. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50548 is divided by 124?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**13\/u*u)**27)**(2\/53) assuming u is positive.\nAnswer: u**(702\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1023357.4029967 + -1023281.403. Let a = f - 76. What is a rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/4 - r**4\/12 - 2*r. Let w = -1183 + 1184. What is the least common multiple of 28 and s(w)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqwpkpwwwkkqwwpwpq. Give prob of picking 1 q and 2 p.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - -30. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -338 and -0.2.\nAnswer: 67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmrmmrmrrmrrm. What is prob of sequence rmmr?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996.4166mm to centimeters.\nAnswer: 99.64166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a + 151*a = 144 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4*s - 21 = -34, 5 = s for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:14 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11713143 + -5?\nAnswer: -11713150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62708 and 16.\nAnswer: 250832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 56*z**2 - 2279*z - 147. Calculate x(41).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/9 (b) -4.9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0122137 or -0.033?\nAnswer: -0.0122137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 89, 69, 31, -31, -123, -251, -421?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-23 + 27 - (1 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = 0. Let k = 10 - -33. Let q = 39 - k. Sort z, 4, q.\nAnswer: q, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 1\/4, 176.4.\nAnswer: 1\/4, 35, 176.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/4, 19\/33 in decreasing order.\nAnswer: 19\/33, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 11 = k, 4*k + 5*o - 1006156 = -1006207 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23533\/21 or -1122?\nAnswer: -1122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*v - 176, 0*k + 5*v - 137 = -3*k. Suppose -5*z - 34 = -k. Solve 0 = -m - 0*m + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -7, 51, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -291? (a) 2\/9 (b) -95 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 500 = 3*n. Is (-2)\/2 + n - -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739068.8ml in litres?\nAnswer: 739.0688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 2560?\nAnswer: -2565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3 = -y, -3*y = -8*y - 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 d when four letters picked without replacement from {j: 2, d: 6, u: 4}?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68.554716 - 68.52. What is t rounded to three dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38260523.\nAnswer: 7, 17, 23, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/(((-146)\/(-6862))\/(1\/3))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17348*q**3 - 5*q**2 + 2*q + 215?\nAnswer: -104088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3140 - 3122.136. Let x = u - 17.8. Round x to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5347, -5352, -5359, -5368, -5379, -5392, -5407?\nAnswer: -5424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1039171 = 1039145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427375109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/10892887 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -11)\/((-35)\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 299 - -823. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 5 + 0 - 2.\nAnswer: -3*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.305003 * 1.3.\nAnswer: -0.3965039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from rqnlg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3006*p**3 + 12*p**2 + 22*p + 4. Let j be a(-2). What is j rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14463413.\nAnswer: 17, 487, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -20*w + 0 + 3 + 22*w + 3*w. Give d(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10188 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238*w**4 - 5*w**2 - 202*w**4 + 28*w**2 wrt w?\nAnswer: 864*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615986607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 275 = -m - 271, -5*x = -4*m + 16. Calculate the lowest common multiple of m and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -1.63368.\nAnswer: 1.23368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-8)\/2) + (54 - 54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -17*d + 4. Let o be f(-4). Suppose 5*c - o = 53. Let m = -3 + c. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -329*k**2 + k**3 - 103*k + 2*k**4 + 331*k**2 + 0*k**3 + k**3 to the form a*k**4 + d*k**3 + s*k + b + o*k**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9. Suppose 7 = -5*g + 2. Which is the closest to z? (a) g (b) -0.2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1418 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/(-32) + 2\/8. Suppose m*p - 6 = -4*z, 5*p - 4*p + 3 = 0. Suppose 0 = z*x - 57 - 24. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55 - 30) + (-44 - 1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-8))\/((-3)\/13956). Let p = h + 2634. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 3436.\nAnswer: 17\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -5*a + b - 4787503, 3*b - 24 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 151\/1052157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17321\/1835 + -650302391\/38535. Let v(m) = -625*m**3 + 5*m - 2. Let z be v(3). Let p = z - y. What is the common denominator of p and 5\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*-74*(-6)\/(-20). Let r = -66 + b. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1489*l + 6968*l - 6979 + 34374 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-6)*3\/5 and (35\/140)\/((-2)\/186).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 9 (c) -5 (d) -13\/3 (e) 1.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-70)\/(-20)*(-2)\/3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 75*l = 77*l - 7, -2*l - 47 = -5*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 356863177 to the power of 1\/3, to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14535711457 + 14535711465.680000507. Let z = u + -8.68. Round z to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -389459 - 5.0309?\nAnswer: -389464.0309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*y**4 + 1 + 0*y**4 + 0 with respect to y.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -5*o - 29. Let z be o\/(-7) + (-26)\/(-91). Solve -n - 15 = -5*u, -z*n = -5*n + 5*u - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/9)\/((y\/y**(-2\/5))\/y)*y*y\/(y\/((y\/(y\/(y*y**(-6\/13))))\/y))*y*y**(-3\/5))**(-8\/7) assuming y is positive.\nAnswer: y**(-608\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1595255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/3520 and -167\/2640.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/7)\/(2970\/8316*(-8)\/(-10))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/3)*h*h**4 assuming h is positive.\nAnswer: h**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3674878678.\nAnswer: 2, 17, 1471, 73477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 8*l**3 + l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3176375525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56.1 - 1.1. Let v = j + -36. Let z = v + -19.0000007. What is z rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 5*k**6\/6 - 67*k**5 - 3*k**2\/2 + 658*k - 112. What is the second derivative of g(i) wrt i?\nAnswer: 100*i**3 - 4020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3720.243 - 3720. What is the closest to a in -5, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*a**3 + 51*a**3 + 6*a**2 - 134*a**3 - 7 + 21.\nAnswer: -9*a**3 + 6*a**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36195 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: Simplify ((-4*-1*sqrt(324)*1)\/(sqrt(48)\/sqrt(6) + (sqrt(2) - sqrt(14)\/(sqrt(7)*-2))))**2.\nAnswer: 10368\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4408*x + 48259. Determine w(11).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**4 + 72*p**3 + 260*p**2 = 0.\nAnswer: -13, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0, -579, 16 in decreasing order.\nAnswer: 16, 1\/6, 0, -579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a\/a**(-5))\/a)\/a))\/a**(-2\/13)*(((a\/a**1)\/a*a)\/a*a)**(-30) assuming a is positive.\nAnswer: a**(-37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*(-289)\/(-20230)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-889)\/105)\/((-11)\/(-4) - 3) + 28\/210.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.7 + -27.3. Let a = 36.0008 + y. Round a to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -q - 469. Let d = q + 69. Suppose d*y - t = 351, 5*t + 890 = -y + 6*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6*14\/(-84).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Suppose n*c - 2*c = 44. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 0*k**2 + 2*k**3 - 6*k**2 - 5*k**3.\nAnswer: -3*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*s**2 - 145316*s - 163440.\nAnswer: -4*(s + 4540)*(8*s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -5.95. Let z = 159 + -158.94. Let y = z - c. Is 0.2 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence affs when four letters picked without replacement from {s: 2, a: 8, f: 8}?\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197021 (base 10) to base 13.\nAnswer: 6b8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215249993.\nAnswer: 7, 19, 33029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Solve f = -3 + o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 9:23 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -135, -203, -271, -339?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.004478363 - -0.7949\nAnswer: 0.790421637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**3 + 428*v**2 + 879*v + 464*v**2 + 370*v**2 - 213*v**2 - 169*v**2 wrt v.\nAnswer: -6*v + 1760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.89 - -0.1\nAnswer: -6.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.25 - 11. Let j = -0.095 - -2.395. Let b = j - u. Is b at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/4)\/((-2)\/(-8)). Suppose 0 = 4*f + c - 9, -4*f - 9*c + 13 = -4*c. Solve -n - h = -3*o, -7*n + 2*n - f*o = -23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 547\/72 + -59\/8. What is the biggest value in -0.5, 42, -2, i?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) + 1502\/28 - (2028\/(-182))\/(-78)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*2)\/(-2)*((-238)\/42 + 6).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + -3 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/((-12)\/9))\/((-588)\/(-224)). Let d = -6 + 10. Let c = d + -3.6. What is the nearest to 0 in c, -2\/9, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-8))\/(-3))\/((-4)\/(-8))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6\/7, -0.4, 8\/17, 5, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/5 + 4)\/1. Suppose 5*m + 1 - 31 = c. What is the remainder when 17 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186\/79 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 2*d. Suppose 3*y - 38 = -0*y + 2*k, d = k. What is the remainder when 30 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3373285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 2*a**2 - a**3)*(15 - 135 - 8 - 89 - 276).\nAnswer: 493*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 7*z - 9. Let q = 22 - z. Solve -4*m - 14 = w, -5*w - 4*m = m + q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.68 + 0.68. Let w = 239 + -274.2. Let b = r - w. Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212607?\nAnswer: 3, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 12) in base 11?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70093 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1502, -3001, -4490, -5975, -7462, -8957?\n\"Answer: -i**3 + 11*i**2 - 1525*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**5\/15 + 1298*g**4\/15 - 4664*g**3\/15 - 23392*g**2\/15 + 14720*g\/3 + 41984\/15 = 0.\nAnswer: -328, -4, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -735, -1649, -2927?\nAnswer: -4569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 825467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, s: 1, r: 5, a: 2}. What is prob of sequence ka?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) 0.22 (c) -671 (d) 0.3 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.4, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2019907 is divided by 1967?\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 460 = 2*g + 21, -2*l - 3*g - 899 = 0. Let i be (l\/20)\/(1\/(-8)). Calculate the common denominator of i\/(-24)*2 - 0 and -43\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxxw when four letters picked without replacement from {x: 4, p: 3, r: 1, l: 2, w: 6, c: 4}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 26700 - 8820 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 358 = 148 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 8*w + 3. Let y be u(6). Suppose 3*b = -2*b + y. Does 11 divide b\/(((-30)\/(-32))\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*u**2 - u**3 - 200*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 + 5*y + 7. Let b be z(6). What is the tens digit of (b - (-888)\/9) + 6\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 + 4*s. Let q(f) = 84*f**2 + 49*f. What is -4*q(v) + 49*r(v)?\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127061671.\nAnswer: 11, 71, 162691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5 = 2*d, 0 = n + 6*d - 5*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, b: 5}. Give prob of sequence bs.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 47. Suppose b + 3 = 4*z, 4*b + f = 5*z + 8*b. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/4872*7)\/(9*(-12)\/(-324)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g**2 - 32*g**2 - 14*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, m: 3}. What is prob of sequence eeee?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5*t - 10 = 0, 2 = 3*t - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13)*-1 - sqrt(13)) + -4)**2 + 0)*5.\nAnswer: 80*sqrt(13) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*a + 4, 0 = -3*m + 2*a - 16 + 4. Put m, 2, 1, -53 in decreasing order.\nAnswer: 2, 1, m, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21240 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -9 - 30. Let n(h) be the second derivative of -h**4\/8 + h**3\/6 - h**2\/2 - h. Let j(k) be the first derivative of n(k). What is j(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2305 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d - 177*d + 55*d - 87*d + 53*d + 53*d + 47*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {b: 1, k: 1, x: 2, v: 2, g: 1, i: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 23. Let s = t - -39. Calculate the remainder when s is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59559859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 106*s - 8. Let q be p(5). Suppose -q - 138 = -5*h. Is h a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 2*o**4 - o**4)*(5 - 236 + 148 - 262 - 111).\nAnswer: 456*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w + 3*r - 43, -3*w + 117 = 5*r. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**8\/168 - g**6\/30 + g**4\/12 - 2*g**2 - 6*g. Let w(l) be the first derivative of r(l). Factor w(n).\nAnswer: 2*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjjqhqnbn. Give prob of sequence hnjj.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - -42) + -28 - 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 6940?\nAnswer: -6936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -978*z + 43120 = -950*z. Does 44 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 8 = -2*l. Suppose 13*d + 209 = -6*d. Let h(w) = -2*w**2 - 21*w + 22. Calculate the remainder when l is divided by h(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1559, 4713, 7879, 11063, 14271, 17509?\nAnswer: 20783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -33*w - 21. Calculate the least common multiple of z(-7) and 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by ((-1215)\/(-108))\/((-6)\/(-16)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -462 - -460. Suppose -43*z = -42*z - 2. What is the third biggest value in -9, j, z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 9*c - 84. Let i be j(-6). What is the highest common divisor of i and 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120481 and 11420?\nAnswer: 2409620","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.4 - 20.6. Let o = -416337 - -416364.00105. Let d = n + o. Round d to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8673*c - 288.\nAnswer: -8673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -5, 29, -136 in increasing order.\nAnswer: -136, -5, -3, 9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3)\/(i\/i**11) assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220966480 and 7840.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*x - 8 = 0, -2*g = g - 2*x + 4. Suppose w + n = 145, g = -2*w + 4*n - 96 + 398. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11809786800 rounded to the nearest one million?\nAnswer: 11810000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*w - 228*w - 257*w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -2\/3 in ascending order.\nAnswer: -2, -2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 12850?\nAnswer: 12850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.019*-631\nAnswer: 11.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -4*y**7\/7 - y**3\/3 + 1. Find the third derivative of o(r) wrt r.\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2838 - 2841. What is the third biggest value in 2\/37, h, 3, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 8*i + 4. Suppose 23*n - 25*n = 12. Let v(g) = g + 12. Let y be v(n). What is q(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -15. Suppose -3*c + 5 = -2*c, -3*c + p = -2*m. Let n(i) = -i**3 - 4*i**2 - i + 2. What is the units digit of n(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103184737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1101011010110010 (base 2) to base 16\nAnswer: -d6b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/1106518 and -3\/33761.\nAnswer: 762390902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 296 = 3*p, 4*p + 2*d - 243 = 161. What is the remainder when 597 is divided by p?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -438*a + 659*a - 599*a - 1577*a to s + h*a and give h.\nAnswer: -1955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-15))\/((-12)\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, e: 4, c: 11}. What is prob of sequence cc?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, -5, -3, -0.3, -979?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-3 + 1) + 190\/20 and (0 - -4)*50\/128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(65\/(-4))*15\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 + 30*l**3 + 15*l**2 - 80*l - 60 = 0 for l.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - -4) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73534 is divided by 383.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:09 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 512492669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 5*k - 4*n, -7*k - 24 + 68 = 4*n - 98 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 27*x. Let g be v(-1). Calculate the common denominator of 7\/9 and 6\/g*177\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6 - 3\/(-2). Let a(y) = -y**2 + y + 1. Let i(v) be the second derivative of -5*v**3\/6 - v**2 + 527*v. Calculate l*i(w) + 2*a(w).\nAnswer: -2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = 3*g + 279, 3*g = -4*x - 374. Let h = -90 - x. Suppose -w + 2*u = -1743, w + h*u - 1548 - 160 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1060 and 95\/164635914.\nAnswer: 1646359140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35847 is divided by 2011?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/3)\/(351\/(-27)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -65*(-1 - -2)*(-4)\/4. Suppose -185 = -10*l + f. What is the remainder when l is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 8 = -2*x. Suppose 145 = m + 137. Suppose 0 = -5*p + m*p. Solve -x = 4*g + g - q, -3*q + 12 = p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40\/9 + -311\/72. Let f(m) be the third derivative of 0 - 3*m**2 + 0*m + 0*m**3 - 1\/40*m**6 + 0*m**5 + k*m**4. Find the second derivative of f(d) wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 527716, 1055379, 1583042, 2110705, 2638368, 3166031?\n\"Answer: 527663*o + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -35*o - 55. Let q be g(-6). Let n(j) = 7 + 77*j**2 - 4*j - q*j**2 + j**3 + 83*j**2. Determine n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 13*h + 15. Let k be r(-7). Let p(g) = 0*g - k*g + 5 - 4 - g**3 - 4*g**2 + 7*g. Calculate p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 0\/(-2) - -174. Let y be 6\/(-4)*32\/(-3). What is the greatest common factor of q and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p. Put p, -3, 9 in decreasing order.\nAnswer: 9, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.96 + 4.36. Put 5, l, 4\/9, -8 in descending order.\nAnswer: 5, 4\/9, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45.181 - 18458.819. Let c = m - -18177.41. Let w = -328 - c. What is w rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**14*w**(-1\/5)*(w\/w**(-2\/7))**(2\/133) assuming w is positive.\nAnswer: w**(64329\/4655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-2)*m*m*m))\/m**(-1\/3))\/(m**(-3)\/m**4))\/((m**(1\/2)\/m*m)**(-40))**50 assuming m is positive.\nAnswer: m**(3022\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 3*b + 10 = 2*u, -2*u = 3*b + 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -20. Let z be (0 + (2 - r))*-1. Let l = z - 4. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2874, 4\/265?\nAnswer: 4\/265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {p: 3, q: 9}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 201691989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aakh when four letters picked without replacement from {a: 5, h: 2, q: 9, k: 2}?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**4 - 5*q + 5*q + (2*q**2 + q - q)*(-3*q**2 + 0*q**2 + 5*q**2) - q**4 - 2*q**4 + q**4.\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 19. Let x(i) = -5*i - 639. Calculate -3*t(q) - x(q).\nAnswer: -q + 582","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 81689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 156\/10 + 10\/25. Suppose -2*x + 46 - y = 4*d, d - 10 = -x. Sort d, -2, 4.\nAnswer: -2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3707 - 3705. Solve 7*g = u*g - 14*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 172*c + 20. Suppose -15 = 7*u - 22. Does 37 divide i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15653\/80 + -625\/16. Let h = 196 + -40. Let s = h - l. What is the smallest value in -3, 1, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 - -0.2. Suppose 6 = -11*b + 5*b. Let r be 7\/(-7)*5 - (0 + b). What is the nearest to -1 in r, 7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152.9 - -153. Let t = -1 + -2. Which is the nearest to o? (a) -2 (b) t (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 557.1161 centimeters to micrometers.\nAnswer: 5571161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69535691 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -15*g**2 + 5*g**2 + 11*g**2. Let o(x) = -8*x + 1. Calculate a(o(m)).\nAnswer: 64*m**2 - 16*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9888?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 6*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3293.13 and -419581?\nAnswer: 416287.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 11*g - 1. Let k(o) = o**2 - 7*o + 14. Let a be k(g). Solve a*s + 3 + 1 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -37*g**3 + 2*g**2 + 6*g + 1. Let u be j(-5). Let o = -3807 + 551. Let q = u + o. What is q rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3 - 4*s - 4*s + 5*s + s**2. Let u be j(4). Does 2\/9 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/75*5)\/(2\/15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13081318 = -4*u + 3*s, 9*u = 5*u - s - 13081310. Let h = -2250328 - u. Round h to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -3)\/(1\/(-2)). Let r(s) = -s**3 - 7*s**2 - 5*s + 6. Let f be r(t). Solve f = -m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 = 4*y, -y - 4*o - 5 = 10. Let j(h) = 5*h**2 + 4*h - 5. Let s be j(y). Let t = s - 9. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5204153.8 and -42.\nAnswer: -5204195.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (0 + 1 + -5). Find the common denominator of (-6)\/w*13\/(-3) and ((-105)\/(-20) + (-27)\/(-36))*(-66)\/(-112).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 10, -0.45, -4, 3\/40 in increasing order.\nAnswer: -4, -1.6, -0.45, 3\/40, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 11}. Give prob of sequence wwlw.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10123 (base 4) to base 16.\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/((j*j*j**(-1\/5))\/j)))\/((j\/(j**3*j))\/j))\/(j\/j**1*j*j*((j\/(j**(2\/11)*j))\/j)\/j))**(-9))**(-33) assuming j is positive.\nAnswer: j**(7398\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1314 (b) 0.11 (c) -1\/2 (d) 41 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 0.27 (c) -3 (d) -622 (e) -0.011\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*u + 2*u + 5*b, -5*u + 15 = 5*b. Suppose u*g = -d - 1 + 2, 3*d - 3 = -4*g. Is (g - (-2138)\/22) + (-38)\/209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 449491 and 4908?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 985513\/84 + -11732. Find the common denominator of -19\/28 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 4. Let c be 19\/m - 14\/(-49). Suppose 3*x - 332 = -5*n + 5*x, -3*x = c*n - 216. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by (24\/(-60))\/((-2)\/55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3949910.6 rounded to the nearest 10000?\nAnswer: -3950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2 + -2)*1266. Let n = r - 412. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 61, -173\/3, 1\/4, 0.068 in decreasing order.\nAnswer: 61, 1\/4, 0.1, 0.068, -173\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 96694 = -160794. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 101?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/84 - (-21841)\/(-70). Let d = u - -312. Is 0 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13480\/42125)\/((-2)\/(-50)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n. Let l be y(-1). Suppose -5*g + 3 + 7 = 0. What is the second derivative of -g*c + c - 2*c**3 + l*c wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4066984163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2224 = 23*p - 214. Suppose -4*r + 2*g = -146, 4*r - 5*g - 55 - p = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -541, -1411, -2281, -3151, -4021, -4891?\nAnswer: -5761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2724253 take away 3555?\nAnswer: -3554.7275747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 4*u - 3. Let z be y(8). Suppose -40 + z = -s. Solve -s = 5*v + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45383 - 20280. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 30*m - 626 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*g**2 + 2*g**2 - g**2 + 2*g**3 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/5)\/(2\/10). Suppose -s*r - 3*x - 33 = 0, -x - 4*x = -5*r - 55. Let i = 3 - r. Calculate the smallest common multiple of 20 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.1, -1\/3, 1 in descending order.\nAnswer: 1, 0.5, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8459.962 decades in centuries?\nAnswer: 845.9962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -164. Let s = w - 97. Solve 2*a = -5*k + 8, -s*a + 8*a = 4*k + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpbk when four letters picked without replacement from ppbpbpbkbp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, -0.5, -335, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 4*r - 1. Let v be x(-3). Suppose z + 19 = v*f, f - 5*z - 35 = -4*f. Solve -8 = 2*q, -f*p - p - 5*q - 8 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -26 + 1 + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (91\/14)\/(2\/8). Suppose -86 - s = -2*g. Let y = g - 40. Calculate the greatest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 11*i**3\/3 - 965. Let j(s) = -78*s - 1. Determine f(j(p)).\nAnswer: 66924*p**2 + 1716*p + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -3. Let g = -0.18 - -8.18. Let y = s + g. What is the second biggest value in y, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -7 (b) 1 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185 + 228. Solve -o + 13 = 6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, m: 1, b: 1, v: 2, t: 3, d: 3}. Give prob of sequence vdvm.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - -1) + (-1 - 0). Let o = 1 - -1. Suppose b - t = -o. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 8 - 3*w - 12)*(-2*w - 8*w - 2*w).\nAnswer: 36*w**2 + 480*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 238532923 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -104*m**3 - 2*m**2 + 8*m + 8. Suppose -11*b = -51 + 62. Calculate the remainder when c(b) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4930*y - 26 = 4956*y. Put y, 0, 20, 1, -2 in descending order.\nAnswer: 20, 1, 0, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066498 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/45 and 92\/87539865.\nAnswer: 262619595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 72584850*p**3 + 263428095060965*p**2 + 526855972367400*p + 263427949891280.\nAnswer: 5*(p + 1)**2*(p + 7258484)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*l + 490*l = -1180. Let a(g) = 2*g + 34. Give a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4186 and 644?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 442752 and 553440?\nAnswer: 2213760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-11) + (-276391)\/46299 - 9*(-3 + 2)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*d + 10, 4*v = -d - 3*d - 16. Is -7\/74 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 15212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcqq when four letters picked without replacement from {c: 1, u: 2, w: 2, q: 4, g: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyc when three letters picked without replacement from {u: 4, c: 1, p: 5, y: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 55*k**2\/2 - 825830*k = 0.\nAnswer: 0, 330332\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 4. Let t(m) = -5*m**2 - 2159*m. Calculate l(t(q)).\nAnswer: 10*q**2 + 4318*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 345 = -4*b + 2874, 1615 = 2*b - 5*m. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1 - 2*p - 2 + 1. Let d(h) be the second derivative of 0*h**2 + 6 + 0*h**3 - 2*h - 10\/3*h**4. Calculate v(d(b)).\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 - 95\/175. Which is smaller: l or 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461833069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-75)*-5)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -76*w - 175. What is the units digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2 = n - 3, 3*z - 10 = -2*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 280496917 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -78 times 277\nAnswer: -21606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -40. Let w = 15 - t. Suppose w = 4*x - 4*y - 1192, 3*x + y = 6*y + 886. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = m - 3*m + 3, m + 3*x = -11. Let t(y) = 2*y**3 - 1. Let i be t(1). Sort -1, i, m in descending order.\nAnswer: m, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.8 rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 204 - 192 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 1314?\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*d - 9 = -d, 5*c - 45 = 5*d. Let t = -133 - -205. Suppose 5*w - 2*w = 6, -w = 5*x - t. Solve 4*j - c*a - 2 - 21 = 0, j - x = 4*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -323 - -325. What is the second smallest value in o, -19, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-10)*(2 + 2\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(3) + sqrt(28))*-2)\/(sqrt(400) + (-1*sqrt(400) - sqrt(400)))*2.\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17967128 or 17967125?\nAnswer: 17967125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(575\/(-300))*(-1)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 - 20 - 9)*(3 + 1 - 2)*(-229*g**5 + 458*g**5 - 107*g**5).\nAnswer: -22448*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83776 and 73304.\nAnswer: 586432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -14, -2, 45, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/7)*h*h**(-3\/7)*h*(h*h**(-7))\/h**2*(h**(-10)\/h**9)**47 assuming h is positive.\nAnswer: h**(-899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 2*f + 1. Calculate w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1758 - -0.0698. Let m = j - -0.146. What is the nearest to m in -2\/3, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97543?\nAnswer: 23, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 16\/11, -10\/9, 4, 25?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 154*z - 125*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201900 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/y**1))\/y)\/y)**(-21\/2)*(((y*y**5)\/y)\/y)\/(y*y*y*y*y**(-6)*y*y*y)*y**(2\/17)\/y**(-1)*(y**(-2\/5))**(2\/133) assuming y is positive.\nAnswer: y**(46482\/11305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0.5, -2\/13, 13924, 4\/3.\nAnswer: -1, -2\/13, 0.5, 4\/3, 3, 13924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 plus -29908712224?\nAnswer: -29908712201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.333 + 183.667. Let i = 183.5 - s. Sort 0.3, i, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**6\/120 - 7*m**5\/60 + 5*m**4\/24 + 5*m**3\/3 - 5*m**2. Let a be o(-7). Let f = 64 + a. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 11) to base 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:28 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.035 + 0.035. Which is smaller: -32 or y?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1442\/294 - (1 - (-23)\/(-21)). Let o(b) be the third derivative of -7*b**2 + 0*b - 1\/120*b**6 - 1\/24*b**4 + 0 + 1\/60*b**u - 7\/6*b**3. What is o(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38519 - 38519.16. What is the fourth biggest value in 4, o, -2\/13, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-73 - -69)*(-1 + 2). Sort -5, n, 2, 4 in descending order.\nAnswer: 4, 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28d165 (base 16) in base 2?\nAnswer: 1010001101000101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4*-7)\/(-25*(-21)\/7350). Calculate the highest common factor of 3703 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (5 - 3) + -2. Let o be (5 - (-140)\/(-25)) + (-2)\/h. Which is the smallest value? (a) o (b) -0.05 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -134 + (215 - 97) + -19.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 - 13*d - 20. Let j = 950 - 952. Determine k(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4\/11 - 8*k**3\/11 - 12*k**2\/11 - 8*k\/11 - 2\/11 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 83170527350 and -2.\nAnswer: 83170527348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-184))\/(1\/3). Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*i - 320*i + 2 - 326*i.\nAnswer: -392*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (14 + -15)) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 2\/13 (b) -0.5 (c) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.6 and 741.34?\nAnswer: 739.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 164603878, 329207748, 493811618, 658415488, 823019358?\n\"Answer: 164603870*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5186, 5, 1, 82.\nAnswer: -5186, 1, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 30. Suppose w*m - 3*t = -5*t - 46, 20 = -m - 4*t. Let i be 5\/(-15) - 2\/m. Is 14 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 62*o + 2 = 0. Let h(d) = -d**2 + 1. Give h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71568225 to the power of 1\/2, to the nearest integer?\nAnswer: 8460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 21*a**4 - 12418548*a**3 + 104669535*a**2 - 241271352*a + 85154544 = 0.\nAnswer: 3\/7, 4, 591351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 13. What is n(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 706677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20\/403 - -746\/1209. What is the fourth smallest value in -2\/11, h, 2\/5, 22, -0.43?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*i**4 - 121*i**2 + 68*i**2 - 13*i**4 + 2*i**5 + 116*i**2 wrt i?\nAnswer: 120*i**2 - 696*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7332632 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) 2\/62767 (c) -9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 60. Let s be c(0). Suppose 4*n - s = 2*n - k, 2*n = -5*k + 68. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5*(sqrt(152) - (-3*sqrt(152) + sqrt(152))) - sqrt(152))\/sqrt(8)*-5 - ((2 + sqrt(19))**2*-5*1 + -3)).\nAnswer: 119 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/16)\/(v**(1\/12)*v) assuming v is positive.\nAnswer: v**(-37\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let a(m) = -46344170*m. Determine a(w(f)).\nAnswer: -46344170*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326*z + 326*z + 39*z**3)*(z + z - 4*z).\nAnswer: -78*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzv when three letters picked without replacement from {v: 2, z: 5, w: 1, u: 1}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*m - 50 = 0, b - m + 2 = 37. Let q = 7 + -6. Suppose -2*r = y + q - 6, -2*y = -4*r - 34. Calculate the remainder when b is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6805 by -1361.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*d - 3, -4*d - 359 = 5*l. Let u = l - -352\/5. Let z = -3 + -2. What is the second biggest value in -0.1, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i. Let u(j) = 0*j**2 + 3*j**2 - 194*j + 194*j. Calculate s(u(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31629452 divided by -31629452\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/1531925 or 1?\nAnswer: -31\/1531925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 200659234 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-170)\/(-35))\/(4\/14). Let x(p) = p**2 - 4*p - 2. Let s be x(-3). Which is greater: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230249 - 86612.\nAnswer: 143637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1509330 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 1 + -185 + 172?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*v - 3 = 13, 25 = 5*v. Let p(l) = -l**2 + 53. Let d be p(0). Suppose w - d - b = 0. Calculate the remainder when w is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 24 - (-500 - -561).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 55 = -5*q + 2*d, 0 = 4*q + 2*d - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64657 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 724393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k - 174. Let f be u(53). Sort 3, 0, f in increasing order.\nAnswer: f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, 46, 629, 1596?\nAnswer: 2947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 6. Suppose -75 = -2*l - v*l. Suppose h + 2*s - 6*s = l, -s = h. Calculate the least common multiple of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5572.257 centuries to decades.\nAnswer: 55722.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 15*o**2 - 16*o - 30. Let n be -14 + (-11 + 20 - 9). What is s(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 3*y**2 + 3*y - 3. Suppose 4 + 252 = 2*r. Let i = 131 - r. What is u(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -416, -426, -450, -494, -564, -666?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from {h: 7, l: 7, z: 5}?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - 4*c**4 + c**4 + (-3*c**2 + 4*c**2 + 0*c**2)*(2 - c**2 - 2) + (-1 + 1 + c)*(-2*c**3 + 4*c**2 - 4*c**2).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/17))\/(k\/((k**(2\/9)\/k)\/k))*k**(-2\/21)\/(k\/(k**(-6)\/k)))**(-4\/27) assuming k is positive.\nAnswer: k**(41792\/28917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l**3 + 6*l**3 + 15*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 4:19 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let i be 1\/(-10)*15\/12. Sort i, z, 0.1 in increasing order.\nAnswer: i, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -27, -72, -137, -222?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5\/3, 2\/191, 1, 4 in increasing order.\nAnswer: -8, 2\/191, 1, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9724.589269 - -4?\nAnswer: -9720.589269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406285.2mm to meters.\nAnswer: 406.2852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1110221222000 (base 3) to base 11\nAnswer: 497a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1659125*k**2*x**2*y**3 + 2826*k**2*x*y**2 - 2*k**2 - 3*k*x*y**2 + 3*k*y**2 - 2*x**2*y**3 - 2*x**2*y**2 wrt y.\nAnswer: 9954750*k**2*x**2 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3372*l + 39022*l - 4775*l + 101232*l.\nAnswer: 138851*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1436484, -2873058, -4309632, -5746206?\nAnswer: -7182780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7857495?\nAnswer: 3, 5, 283, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h**3 - 43 + 43 - h**3 + 2 - 2 + (0*h - 2*h + 0*h)*(3*h**2 - 2*h**2 + 0*h**2) + 0*h + h**3 + 0*h)*((4*h + h - 3*h)*(7 - 3 - 3) - 3*h + 3*h + h).\nAnswer: -87*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1208 or 556806\/461?\nAnswer: 1208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5824, -11506, -17004, -22264, -27232, -31854, -36076, -39844?\nAnswer: -43104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 670.8 - 671. Let h = 0.3 - -0.2. Which is the closest to 0.2? (a) o (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -13303334?\nAnswer: 13303331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121686 is divided by 58499.\nAnswer: 4688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)\/(b*b*b*b**(-2\/13)\/b))\/(b**(-1\/2)\/b)**19*((b**0\/b*b)\/(b*b\/(b*(b\/b**(-6))\/b)))\/(b**(-3\/10)\/(b**6*b*b)) assuming b is positive.\nAnswer: b**(23503\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144231 - 133?\nAnswer: 144054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 896, 7110, 23978, 56828, 110988, 191786, 304550?\nAnswer: 454608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 - a + 9. Let b(m) = 9*m**2 - 3*m + 13. Let s(h) = h. Let n(r) = b(r) + 2*s(r). Let g = -89 - -53. Let x = g - -31. Calculate x*n(k) + 7*j(k).\nAnswer: -3*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -485*z**3 + 3*z**2 - 38*z - 80. What is the ten thousands digit of w(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uauaaahaayatauaaayta. What is prob of picking 1 y, 1 h, and 2 u?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 16 = 9*g - 8*g, -8 = -3*h + g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/(4\/12*-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from cft?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 8 - 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1480295mg to grams.\nAnswer: 0.0001480295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(208) + -5)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 - 329\/3. Let c = 578845 - 578841. Find p, given that -s - 8\/3*p + 0*p**2 + 8\/3*p**3 + 4\/3*p**c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5*z - 1 = 0, -2*w + 6*w = 4*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2996 + -2996.5. Let q = -19\/54 + -4\/27. What is the nearest to q in 0.4, 0.3, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/104 and -39\/232?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 28*b**2 + 18*b - 55. Let u(g) = -8*g + 29. Let q be u(7). List the prime factors of f(q).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + 3.3. Let b = o + -4.5. Let y = -1653 - -1658. What is the closest to 0.1 in y, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/4 - 14*n**4 - 76*n**3 - 44*n**2 + 308*n + 400 = 0. What is n?\nAnswer: -50, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 44 = -2*v - 13*t, 0*v + 6*t + 50 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 5*c - 4. Let z be i(3). Let p = z - 21. Let a = -81 - -137. What is the highest common divisor of p and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -42. Let m be -3 + ((-18)\/3 - j). Let a be 1 + (12\/m - -2 - 0). Are 2 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 7*r + 9. Let w(i) = 3*i**2 + 10*i - 13. Let y(x) = 8*v(x) + 5*w(x). Let k = -1 - -2. Suppose 31 = -5*l + k. Give y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, z: 9}. Give prob of sequence zz.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 20313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, p: 4}. Give prob of sequence pzz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -5 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*i + 1652, -4*r - 947 = -3*i + 1545. Suppose 0 = -134*d + 130*d + i. What is d rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -277 from -451638895.\nAnswer: -451638618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l**(-2)\/l)\/l)\/l*l)*l)\/((l\/l**(-5))\/l)*l**5*l*l**3\/l*l)**(9\/8) assuming l is positive.\nAnswer: l**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1373, 1372, 1369, 1364, 1357, 1348?\nAnswer: 1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/13 + 9\/91. Is u at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*k**3 + 22917*k - 22917*k.\nAnswer: -35*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33496806.81 rounded to the nearest one thousand?\nAnswer: -33497000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13998 is divided by 582.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8014 - -8020. Let 6*f**3 - o*f**2 + 0*f + 2\/9*f**5 + 0 - 2*f**4 = 0. Calculate f.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*1*-6)\/(3*sqrt(768)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 44. Suppose 10 = -7*q + a*q. Calculate the greatest common divisor of 160 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3 - 150*y**2 + 1125*y = 0. What is y?\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52463, -104881, -157299, -209717, -262135, -314553?\n\"Answer: -52418*p - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(4 + -7) - 3. Let p be (w\/3)\/((-11)\/(-26268)). Let i = p + 254723\/80. What is the common denominator of -59\/2 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45153*q**3 + q + 2825799 wrt q?\nAnswer: 135459*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 38.98319 nanograms?\nAnswer: 0.03898319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000039799 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + -108.6. What is the smallest value in 1\/4, -1\/3, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 minus 98811151?\nAnswer: -98811117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2325 (base 6) to base 13\nAnswer: -33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 9*r**2 - 7*r - 5. Let s be w(8). Suppose 7 = -s*y + 4*y. Find the second derivative of -7 + j + y - 2*j**2 wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w**3 - w - 2. What is k(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -882 - 1572. Which is smaller: 406 or i?\nAnswer: 406","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k + 25. Let w = k + -2. Suppose 5*m + t = 19, 2*m + w*t + t = 22. Solve -m = l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 15*h**5 + 65905*h**4 + 72577570*h**3 + 409378460*h**2 + 240681800*h = 0?\nAnswer: -2194, -5, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:22 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*w + 14*r - 13*r, 0 = 3*w - 5*r + 3. Suppose -4*l = -2*c + 80, 14*c - 9*c - 170 = w*l. What is the greatest common divisor of 165 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 6*v + 7. Let k be x(-5). Suppose -f + k = f, -f + 20 = w. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - 4*w**3 + 2*w**3 + w - w**3 - w + 3*w**3 + 0*w**3 - 2*w**3 + (-4*w**2 - 2*w**2 + 3*w**2)*(2*w - 5*w + w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -19. Suppose -4*q + c = -50. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 - 14*l - 2. Give h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let g(f) = -3*f - 12. Give a(g(w)).\nAnswer: 3*w + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 13) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/(-60) - (-324)\/55)*10?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.8 + 19.73. Sort 5, -0.5, j in descending order.\nAnswer: 5, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5 + 0*w - 6*w + w**3 + 5*w**3 - 5*w**2. Let x(n) = -7*n**3 + 6*n**2 + 7*n + 6. Let t be (1 + 3)*(-6)\/(-4). Calculate t*d(i) + 5*x(i).\nAnswer: i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5280815381?\nAnswer: 5280815381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 206 - -102. Suppose -5*t = f - 323. What is the remainder when 16 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**5\/150 - 3*z**4\/5 + 123*z**2 + 5*z. Factor o(p).\nAnswer: -2*p*(p + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1764)\/16)\/21 - (-12)\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, s: 4, q: 6, z: 3}. What is prob of sequence znzq?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11830863 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-12)*(-3)\/(-4). What is the second smallest value in x, -0.09, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/3 - (-10)\/(-15)*3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 9*m**2 - 4*m + 12. Let i be d(6). Let n = i + -41. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 9. Let x be u(5). Let m be ((-15)\/(-5))\/((-3)\/x). Let t(n) = n**2 - n + 1. Let k be t(-2). Solve 3*w + 2*p = -k, -m*w - 4*p - p = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d + 203 - 233. Let q(t) = t - 6. Let y be q(6). Solve y = -f + d*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 168*i + 222. Let a be k(85). Solve a = -39*d + 52*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51113681\/950 - 53804. Let w = r - -1\/190. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 12\/5*j**2 - 41\/15*j**3 - 7\/60*j**4 + 210*j + 0. Solve d(x) = 0.\nAnswer: -12, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48d1 + 57?\nAnswer: 4928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -56, 2 in increasing order.\nAnswer: -56, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -300926*v - 601915. Determine y(-2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {y: 1, f: 3, k: 11}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + o + (1 + 0 - 2)*(4*o + 2*o + 0*o) - 1 - 95*o + 1 + 0.\nAnswer: -100*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkk when three letters picked without replacement from {r: 2, k: 2, j: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = 15. Suppose -341 = 4*t - 337. Does 42 divide 3774\/30 + t\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743.1 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1096 + 3821. List the prime factors of m.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-58)\/(-14) - 2 - 3\/21. Let d be 28\/(-12) + p - 32\/(-6). Suppose d*x = 4*x + 25. Solve -2*a + 4*i = 3*a - x, -a + 2*i + 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 1457*u - 2122849.\nAnswer: -(u - 2914)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7911142 is divided by 1368.\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z - 8 = 0. Suppose z*t + 23 = -9. Let y = -17 - t. What is the second biggest value in y, -0.03, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48059469 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2811 divided by 45.\nAnswer: -937\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - -4*(sqrt(91) + sqrt(91)*4 + sqrt(91)) - ((sqrt(91) - 4*sqrt(91))*-6 + sqrt(91)))\/(5*(sqrt(21)\/sqrt(3)*4 - (sqrt(28)*3 - sqrt(7)))))**2.\nAnswer: 468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + q + 4. Suppose 3*i - 11 = -o, 0 = -i - 2*o - 3*o + 13. Is u(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1239*o - 42128. Calculate n(34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -152 or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 1, r: 4, w: 3, a: 6}. Give prob of picking 1 w and 1 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + z - 4*z)*(0*z + 4*z - 2*z) + 4935*z**2 - 3883*z**2 + 3954*z**2.\nAnswer: 5010*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5\/4 - 9*i**4\/2 + 18*i**3 - 39*i**2\/2 + 27*i\/4.\nAnswer: -3*i*(i - 1)**3*(i + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 516*s**4 - 5024*s**3 - 71576565*s**2?\nAnswer: 12384*s - 30144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 184, 185?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*r + 962 - 911 + 1579 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63828, -63752, -63676, -63600, -63524, -63448?\nAnswer: -63372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x**1*x*(((x**1*x)\/x)\/x*x)**14)**39 assuming x is positive.\nAnswer: x**858","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxtx when four letters picked without replacement from xxxxxxxxxxxtx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1464 - -10?\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 3*x - 3*x)*(1 + 2 + 0)*(0*x + 4*x - x)*(2*x + 4*x - 4*x).\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 8:38 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 equal to -4485\/302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/28*(-1 - -31) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3670227?\nAnswer: 3, 11, 131, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 524, 527, 534, 545, 560, 579, 602?\n\"Answer: 2*h**2 - 3*h + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 642693 divided by -3?\nAnswer: -214231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8797 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 j = -952 + 956. What is the highest common divisor of 620 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16095716 - 25?\nAnswer: -25.16095716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-7*26\/5005*30?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in -0.6, 2\/41, 1\/12, -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**26\/a*a*a*a**(-1\/25) assuming a is positive.\nAnswer: a**(724\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25.9 * -17\nAnswer: 440.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17364, 3, 0, 1 in descending order.\nAnswer: 17364, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, 28, 88, 162, 244, 328, 408, 478?\n\"Answer: -n**3 + 16*n**2 - n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4)\/(-1 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -96*b**2 + 46*b - 141. Calculate m(4).\nAnswer: -1493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -5*x**3\/3 - 1. Let q(m) be the first derivative of -m**3\/3 + 43. Calculate q(o(k)).\nAnswer: -25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3911 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)\/sqrt(11) - ((sqrt(64)\/sqrt(4))\/sqrt(8))**2 - 1*sqrt(8)\/((sqrt(40)\/sqrt(2))\/sqrt(5))) + 4.\nAnswer: 2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1497600030)\/(-8) - (-4)\/16. Let k be 12\/18 + q\/(-6). Round k to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 5*u + 10. Calculate the highest common factor of 18 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 + 5*m + 3. Let k(v) = 40*v**2 + 15*v - 40. Let t(z) = z**2 + z - 1. Let b(s) = k(s) - 30*t(s). Let x(f) = -2*b(f) - 7*n(f). Determine x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.1272 + -0.1272. What is the second biggest value in 55, -0.5, s, 2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*o + 4*i + 37, 0 = 5*o - i - 25. Solve -2*l + o = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 20*i**3 + 382*i**2 - 360*i.\nAnswer: -2*i*(i - 9)*(i - 1)*(i + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 2. Let d be u(4). Let w = d + 6. Is -7 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 615 = 14023. Let i = 683 - w. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4982.85 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18025 is divided by 3601.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15269392 divided by -5.\nAnswer: 15269392\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 33770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 19) + 100 + -31 + 38?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32, 0.4, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -6\/4463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*3*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 3089*y + 46 = 3088*y, -h + 4*y - 31 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408684?\nAnswer: 2, 3, 34057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - ((91 - 5) + -186)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + n - 68 = 0, 36 - 40 = -5*h + n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -415*i + 797. Let l(f) = 416*f - 798. Let g(q) = -3*j(q) - 4*l(q). Differentiate g(w) wrt w.\nAnswer: -419","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241416?\nAnswer: 2, 3, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((15\/80)\/(-1)). Let k be 1\/(((-2)\/18)\/(-1)). Let i = u - k. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 20*v + 5*v.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*m + 10714 = -65*m. Let g = m + -536. Is g a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*s - 1330 = 882, -2*s - 8848 = 4*w. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1374\/7 - -196. Sort -0.5, 3, 34, x.\nAnswer: -0.5, x, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 28*j + 23. What are the prime factors of h(5)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 2082827464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*q - 291*q - 6237 = 0. What is the greatest common divisor of 105 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 125.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2330 divide 3084466970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -21*a - 10. Is r(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16917517.548 + 44827.\nAnswer: -16872690.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1105.08 - -1105. Put 2, -0.3, -5, r in increasing order.\nAnswer: -5, -0.3, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-251441475)\/(-1105) + (-4)\/(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 36. Let f be (3 + -5)\/((-1)\/3*o). Let a(i) = 6*i**3 - i**2 + 2*i - 1. Is a(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34874, -34862, -34828, -34760, -34646, -34474, -34232, -33908?\nAnswer: -33490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166244628 is divided by 313?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 0)*(-2 + 3 - 5 + 2*p) - 5*p + 4*p + 3*p in the form t*p + s and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - 0.025758?\nAnswer: -24.025758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 + 309. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154 = 42*x + 43*x - 291 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32850 = -5703*y + 228*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8653 + -8645. Solve -37*a = 29 + c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7505 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:02 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 5*m - m)*(-5*m + 5*m - 7*m**2)*(8*m - m + 2*m).\nAnswer: -252*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (630\/33)\/6 - (-4)\/(-22). Let m(t) = -10*t. Let d be m(-2). Solve -r - d = f*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 3}. Give prob of picking 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1602\/7, 7\/6, -0.12 in descending order.\nAnswer: 7\/6, -0.12, -1602\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 65*f**3 - 2*f**2 + 1. Determine h(1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 17*m**2 + 72*m - 311. Calculate u(-11).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212 + 213. Let v(w) be the third derivative of w**4\/24 - w**3\/6 + 7*w**2. Let h be v(1). Which is bigger: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-3)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5695 + 11915. Suppose -17*t = -23*t + m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -155475230?\nAnswer: -77737615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 0, 1613, 3.\nAnswer: -5, -3, 0, 3, 1613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 8. Let z be y(-6). Factor 38*l**2 - 68*l - 2 + 26 - 12*l**3 + 22*l**z - 4*l**4.\nAnswer: -4*(l - 1)**3*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4603 - -4635. Solve -c + 29 = a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/7))\/p)\/(p**(-4\/7)\/p))\/((((p*p*p**(-2\/3)*p)\/p)\/p)\/p**4) assuming p is positive.\nAnswer: p**(116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 0*l - 2*l)*(6*l - 6*l - 11*l**2) - 2*l - 2*l**3 - l**3 + l**3.\nAnswer: -24*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -24 - (9 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((8 - 8)\/16)\/(-2). Solve 2*u = -14 - y for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490815\/17 bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.041 - -0.241. Which is the closest to -3? (a) -1 (b) n (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2620 + -49792\/19. Let a = -267.3 - -267.1. Is x smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 1721. What is the greatest common factor of 45 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 51.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313000 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16*t = 12*t - 4, 5 = 5*t. Let q(r) = -250*r**2 - r + 4. Let u be q(4). Let n be 1430\/(0 + o\/u). Round n to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 16*k**2 + 10*k + 83. What is the tens digit of h(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*s**5\/3 - 110968*s**4 + 40360*s**3 - 11008*s**2\/3 = 0. Calculate s.\nAnswer: -1376, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/237 and 8\/28386517.\nAnswer: 85159551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -4 - (3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*y + 1926 = 0, -8*p - 1921 = -11*p - 4*y. Let u = p + -381. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 3*f. Let n be q(4). Find the first derivative of -8 + 8*u**4 - 4 - n + 3 wrt u.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87763588 to the nearest integer?\nAnswer: 9368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 11169 take away 0.050172?\nAnswer: 11168.949828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.7*-508236.\nAnswer: -2896945.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14892)\/4032 - (-4)\/(-192)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 128 = 4*s, -4*m - 14 = -2*s + 58. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154727000 rounded to the nearest 1000000?\nAnswer: -155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + 44. Calculate the highest common divisor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + -44.2. Let u = 44.8 + g. Which is the biggest value? (a) 13 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 37, -6\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 33) + -3 + -29 + 1 + 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a day in minutes?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-154)*(-12)\/2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-361)\/(-228))\/(18\/180). Factor -15*n + 5\/6*n**2 - y.\nAnswer: 5*(n - 19)*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -287013 (base 9) to base 5.\nAnswer: -21110301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ca8 (base 14) to base 2.\nAnswer: -1111100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 111984 = 3*q - 4*a, -2*q = a - 56004. Round q to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -453 (base 6) to base 7.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31077713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110 or -331\/3?\nAnswer: -331\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/23 + -38\/207. Put a, 0.5, 4\/3, -5 in decreasing order.\nAnswer: 4\/3, 0.5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 2182593.\nAnswer: 8730372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 3) to base 7\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(3)*2)**2 + 0 + -1*sqrt(192) + sqrt(192) + (sqrt(3) + -1)**2*1 + (sqrt(3) - (sqrt(432)\/sqrt(9))**2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -703785\/576992 + 31\/2336. Let m = z - -15\/13. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -25, -123 in decreasing order.\nAnswer: -21, -25, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -88301 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 1:42 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 468133 (base 12) to base 6\nAnswer: 40144503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**5 + 4*o**5 - 3*o**5 + (0*o**3 - o**4 + 0*o**3)*(2 - 2 - 2*o).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:47 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-48)\/14)\/((-96)\/42 - -2). Suppose 7*s - n = f*s - 680, n = 4*s - 553. What is the remainder when s is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 256 + 3*x**4 - 248 + 3*x**3 - 2*x**3 - 10*x + 3*x**4 - 2*x**3 as c*x**2 + b*x**4 + g + l*x**3 + w*x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/77 - (5\/28 - 0). Solve 0 - 1\/4*u**4 + g*u**2 + 1\/2*u**3 - 1\/2*u = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255613374*j + 5*j**2 - 255613374*j.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 44529800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 730904 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 12:46 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*w - 16. Suppose 5*q + 0*q = -5*h + 55, -5*h = -w*q + 8. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {q: 2, k: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1107 - 84*l - 1280 + 70*l to n*l + w and give w.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)\/b**(-1\/2))\/(b**(-4)\/b**(1\/7)) assuming b is positive.\nAnswer: b**(167\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:47 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - 6*u)*(1 - 3 + 3) - 3*u + 0*u + 0*u + (0 + u + 0)*(2 - 5 + 5) + 2 - 2 - u - 1 + u + 1.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**3 - 29*n**2 - 34*n - 22. Determine s(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 3)*(-i + 4*i - 2*i + (-1 - 1 + 0)*(-5 + 5 + i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*4)\/(-5*sqrt(576)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a**2 + 8*a - 4. Let c be d(-3). Suppose -n + 405 = c*n. What is the lowest common multiple of n and 48?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1931 - 924. Suppose 7*f - a - 337 = 0. Suppose 42 = -5*n + f. Calculate the highest common factor of 20 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 7*r - 8. Let a be h(6). Let n be 1\/(a\/(-6) - 2). Suppose -5*i + 8 = -n*m - 1, 3*m + 9 = 0. Solve f + i*f = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2913606?\nAnswer: 2, 3, 157, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 3*s - 2. Let q be i(2). Suppose -2*p + 1 = m - 6, q = p + m - 4. Solve 0 = n - p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h - 4. Let y be v(10). Suppose y = 3*a - 0*a. What is the smallest common multiple of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11680 not equal to -338706\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 31203*b**2 - 31194*b + 62400.\nAnswer: -3*(b - 1)*(b + 2)*(b + 10400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 1601334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - 2*g)*(4 - 4 - 1 + 0 - 3 + 4 + (0 + 2 - 3)*(3 - 1 - 4))*(2*g + 3*g - 3*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p + 3. Let f(t) = -3*t - 2. Let l(w) = -w**3 - 15*w**2 - 37*w - 14. Let x be l(-12). Calculate x*d(h) - 5*f(h).\nAnswer: h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 468 - -103?\nAnswer: 56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8656*m**3 + m**2 + 3*m - 177316.\nAnswer: 25968*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and -75\/2144.\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 79.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:49 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5, -b - 2*v + 6*v + 44 = 0. Let c be 4\/b - (-2)\/(-12). Let d(w) = 0*w + w + c*w. Let t(j) = 4*j. Give t(d(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12*c + 191. What is the remainder when w(-7) is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213227495?\nAnswer: 3, 5, 26960611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnn. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44235700?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 710807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-110))\/((-36)\/(-40))*-2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392626945?\nAnswer: 5, 379, 207191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7237 is divided by 181.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 54 = 36. Determine r so that -p + 6*r + 49*r**2 + 6 - 3*r**3 - 46*r**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*d**2*s**6 + 21*d**2*s**2 - 9*d**2*s - s**6 wrt s?\nAnswer: 8880*d**2*s**3 - 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + k + 4 = 0, 0 = 5*g + 10*k - 12*k - 20. Find the third derivative of 74*f**2 + 11*f**3 + 22*f**3 - 35*f**3 + 64*f**g wrt f.\nAnswer: 1536*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 82, 129, 176, 223, 270, 317?\n\"Answer: 47*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 = -4*s, 0 = o + 2*s + 3*s - 4. Suppose o = -0*j + j. Suppose -j*x + 9 + 15 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 481*d**2 - 2685*d - 123911. Calculate t(-486).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 0.19 (b) -3 (c) -2\/6511\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 6*d - 4. Let n be w(7). Let a = 155 - 153. Solve 3*h + 34 = -5*z, -n*h = -3*z + a*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 5*v - 2. Suppose 0 = -7*d + 4*d + 54. What is the remainder when d is divided by c(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**3)\/(x*x**(-2\/7))*((((x\/((x*x**(-3))\/x*x))\/x)\/x)\/x)\/(x\/(x\/(x\/x**(2\/9))*x)*x) assuming x is positive.\nAnswer: x**(158\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 315\/(-32 - (-1911)\/49)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 1131.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273 and 24591?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1)**0*o\/((o\/((o\/(o*(o*o\/(o*o**(1\/4)))\/o))\/o))\/o)*o\/o**5*o)\/(((o\/(o\/o**(-2\/5)))\/o)\/(o**1\/o)*(o**(-1\/4))**1) assuming o is positive.\nAnswer: o**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*a**2 - 9 + 1 - 283*a**2 + 1 + 5.\nAnswer: -399*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 = -m. Put -132\/19, m, 2\/3 in decreasing order.\nAnswer: 2\/3, m, -132\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:30 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2054779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 8*b + 9. Let s be x(-7). Let o(n) = 3 + 5 - 9 - s*n. Give o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545 (base 6) in base 13?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 - 5*g**2 + g**2)*(-2 + 2 + 2*g) - 3 - 3*g**3 + 3 + (2 + 0 + 0)*(27*g**2 - 27*g**2 - 5*g**3) as o*g + h*g**3 + r*g**2 + q and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(832) + 0 + 6*(sqrt(832) - -5*sqrt(832)))**2 + 4.\nAnswer: 1201412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6653 divided by -7.\nAnswer: 6653\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 27*u**3 + 34*u**3)*(188*u**2 + 181*u**2 - 379*u**2).\nAnswer: -610*u**5 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-3) - (-2245 + 1). Suppose -623 = -9*x + r. Is 53 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -345*d - 1890 + 170*d + 436 + 180*d to the form s + t*d and give s.\nAnswer: -1454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 4*h)*(2*h**4 + 1 - 1 - 6*h**3 + h).\nAnswer: 2*h**5 - 6*h**4 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 2*p**2 - 90*p - 9. Let v be f(9). Calculate the highest common divisor of 360 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -33. Let a be 32\/16*(-1)\/d. Suppose 5*f - 5881 = -2*z, 2356 = 2*f - a*z + z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108269989*v**3 + 815626058*v**2?\nAnswer: 649619934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 3. Let b = -314 + 311. Calculate g(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-35) - ((-10)\/(-25) - 3). Let n be (-124)\/31 + (-47)\/(-17) + b. Which is bigger: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/6)\/1)\/(1270\/(-14478))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, c: 2, v: 1, x: 2, k: 5}. Give prob of sequence akkk.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 9, z: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17303419*q + 208858577 with respect to q.\nAnswer: 17303419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.5, 0, 1.4 in ascending order.\nAnswer: -0.5, 0, 1\/2, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -21*n. Let y(u) = 12*u**2. What is y(v(l))?\nAnswer: 5292*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/81 + (688\/(-72))\/2. What is the third smallest value in 0.5, -0.3, -133, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1179809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-42)\/(-112))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3\/2 (b) -5 (c) -15 (d) -0.08086\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28670 and 481600.\nAnswer: 1380747200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) - (-51)\/45. Which is the closest to -1\/5? (a) k (b) -1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmzuzmmzzzuomzmznzm. What is prob of picking 1 z and 1 o?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 28 - 13. Suppose z*c - 4*c - 13 = 0. What is the greatest common divisor of c and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 4) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 14 = -4*y. What is the greatest common divisor of 49 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/43 and -7.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 712847521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 51. Let t(o) = 558*o + 13511. What is the remainder when t(-24) is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -46*c - 9. Let a(s) = -10*s - 2. Let b(m) = -9*a(m) + 2*t(m). Let k(l) = 3*l - 5*l + 0*l. What is k(b(x))?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1644 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -18 - (-27 + -8 + 35).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/36 and (-89)\/(-5)*(-105)\/504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**4\/2 + 4*w**3\/5 - w**2\/5 - 10. Find n such that j(n) = 0.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1442*g**3*i**2*n + 6*g**3*i**2 - g**2*i**2*n - i**2 + 10*i*n wrt g?\nAnswer: 8652*i**2*n + 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-42)*(-2)\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122\/(-1708) - (-45)\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)\/(-14 - -15). Suppose 0 = -2*j + 3 + h. Solve -j*l - 3 = -0*s - 3*s, 0 = 5*s + 2*l + 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 25*z**2 - 4. Let y(t) = -t**2 - 1. Let l be -145 + 134 + (7 - -3). What is l*b(w) + 2*y(w)?\nAnswer: -w**3 + 23*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9154 - 15376 = 544*t + 5712 + 14178 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.86 + 0.44. Let h = i + -10.6. What is the smallest value in 3, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -3427, -5, 3 in ascending order.\nAnswer: -3427, -5, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 1. Suppose 0 = -f*v - 0*v + 60. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let v(l) = 9 - 43*l + 75*l - 38*l. Let w(a) = v(a) - 4*z(a). What is the second derivative of w(q) wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 22 - 2 = 0. Suppose -2*p - q*u - 75 = -194, 0 = p - 2*u - 73. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 131607 and 380198?\nAnswer: 3421782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -3\/2, -3, 5, 3\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -77084 (b) -1 (c) -1\/2 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/5, -19, 2\/25, -99\/5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8299 is divided by 1976?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 2450, 1 in descending order.\nAnswer: 2450, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -340*k**3 + 2*k**2 + 4*k + 11. What are the prime factors of t(-2)?\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1544, 2 in decreasing order.\nAnswer: 2, 0, -1544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 169385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2 + 15*g - 12. Let n(u) = -3*u**2 - 8*u + 6. Let z be (-1)\/(3\/27*1). Let h(o) = z*n(o) - 5*j(o). Factor h(k).\nAnswer: -3*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -294, -545, -908, -1389?\nAnswer: -1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1098889 - 2993282 = -98*v + 1366361. Is 118 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.1, 0.03, 0.6, 0, -73.\nAnswer: -73, -2\/3, -0.1, 0, 0.03, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8436827?\nAnswer: 7, 149, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 231114 (base 5) in base 4?\nAnswer: 2001130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157302, -156259, -155218, -154185, -153166, -152167, -151194, -150253?\nAnswer: -149350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3308113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 9. Let v(k) be the third derivative of -k**4\/6 - 2*k**2 + 664*k. What is v(h(x))?\nAnswer: 4*x - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/22986 and 47\/1149?\nAnswer: 8803638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-8)\/(-15))\/2)\/((-244)\/366). Let j be (-3 - (-1)\/3)\/(-2). Let k = -569\/4 + 143. What is the closest to k in 0, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 282.5 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from {h: 1, r: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyygyyyggygdydgygy. Give prob of picking 1 g and 1 d.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2030\/29 + -16 + (10 - 18)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.042*0.5\nAnswer: -0.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2925)\/900 + (-188)\/(-48). Which is the closest to -0.2? (a) -2\/3 (b) f (c) 29 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.069 times 0.4?\nAnswer: -12.8276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -363 - -244.6. Let s = 119.483 + t. Let q = 0.013 - s. Round q to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.131 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4241 or 4276?\nAnswer: 4276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrxr when four letters picked without replacement from rrrxxxrrrr?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*u**2)*(-1 + 0 - 1) + 0*u**2 + u**2 - 6*u**2 + 4*u**2 - 2*u**2 - u**2 + (0 + 2 + 2)*(4*u**2 + 0*u**2 - 2*u**2).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2. Let a(u) be the first derivative of 26\/3*u**3 + 0*u**2 + 0*u - 15. Determine a(s(y)).\nAnswer: 234*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 321027\/105 + (-6)\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + 35 + (-60 - 57)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 35 = 4*g - 2*m, 3*g - 5*m - 35 = 0. Let l be 4 - ((0 - -3) + -3). Let q be g\/l*8\/10. Solve q*a = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(48))**2 - (sqrt(300) + -1)**2) + (1*(sqrt(243)*2 - sqrt(243)))**2)*5*-1.\nAnswer: -30 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + f**2 - f + 8. Let z be ((-1)\/2)\/(1\/(-4)). Suppose 4*s = z*s. Let y be i(s). Calculate the highest common factor of 40 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -15. Let z = -6 - x. Suppose 8*a + 4*y - 20 = 3*a, 0 = -z*a - 5*y + 16. Solve 2*t + p = -9, a*t + p + 9 = 2*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 155698, 155730, 155778, 155848, 155946?\n\"Answer: r**3 + 2*r**2 + 19*r + 155676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 1. Let a be k(4). Let h = a + 5. Solve 3*b - 10 = -4*s, h = 2*b - 4*s + 17 + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733374.\nAnswer: 2, 839, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/3))\/x*x)**30)**10 assuming x is positive.\nAnswer: x**500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.72 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 4. Suppose -3*s - s + 3*g + f = 0, 3*g = 5*s - 4. Suppose -5*n + 8 = -4*n. Solve -s*c + 0*c = -n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/11 (b) -0.02 (c) 1\/11 (d) 1\/2 (e) 95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3\/4 - 18785*m**2\/2 + 37565*m\/4 = 0. What is m?\nAnswer: 0, 1, 7513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20786868 divided by -10393434.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 28*v**2 + 5*v + 6. Let s be y(5). Let h = s + 119. What is h rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9729601 to the power of 1\/2, to the nearest integer?\nAnswer: 3119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 832 - 802. Which is the third biggest value? (a) -1.2 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z - 9. Let d be x(-2). Suppose 4*k = -2*f - 3*f - d, 3*k = -3*f. Solve -2*h - y = 5 - 2, -k = 5*h + 4*y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*i + 1302, -k + 966 - 319 = i. Let c = k + -508. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -3497?\nAnswer: -3496.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (83 + -87)*7\/52. Put s, -1, -3, 0 in descending order.\nAnswer: 0, s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4 - 50\/(-40)*26. Suppose 5*x + 3*t = 28 + z, 5*t = 25. Calculate the remainder when 15 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 2. Let l(g) = -g + 1. Give 4*l(u) + 2*q(u).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -53*z - 8. Let t(y) = 54*y + 7. Let u(q) = 5*s(q) + 6*t(q). Suppose -5*j + 8 = 5*o - 12, 0 = 4*j - 2*o - 34. Is u(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -756 - -32511\/43. Are z and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2212 and 4477228.\nAnswer: 353701012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = v - 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -25*q**3 - 2*q - 1. Suppose -9 + 1 = -4*l. Suppose 2*t + 0 = -l. Is m(t) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 0. Let i be (w + -9)*(-6)\/8. Find the third derivative of 16*v**4 + i*v**2 - 16*v**4 - 8*v**5 wrt v.\nAnswer: -480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9 + (100\/(-12) - -4). Let g be 3\/(-54)*m + (-325)\/(-117). Suppose -9*o + g*o + 1836 = 0. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 68*c**2 + 27*c - 2997. Is l(-118) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + 2*sqrt(1216)*-2 + (sqrt(76)*4 - (sqrt(304) + 5 + sqrt(19))) + 3.\nAnswer: -21*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 43*l**2 + 726*l + 1234. What is c(-15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 3930151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - j + j + 0*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 250448294 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - o**2 - 2*o - 1. Calculate k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73679 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 26*v + 21*v + 1, 3*v - 21 = -4*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4 + (-2 + 0 + 0)*(-3 + 2 - 1) - 1 + 3 - 1 + (-3 - 2 + 3)*(0 + 2 + 0))*(0*o - 3*o + 5*o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -2*r - n + 10, -2*r - 3*n = 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 + 182. Suppose s - 22 = -23. What is the remainder when (-8)\/t - (-130 - s) is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r + 130. What is x(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 13*m + 92. Let y be m\/(5 - 19\/4) + 3. Solve -2*q = -9 + y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/16793260 and -7\/20.\nAnswer: 16793260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**11*v**6)\/(v**(-5)\/(v\/(v\/(v*v*v*v*v**(-13)*v*v)))) assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*z = 5*h - 251*z + 38, 4*h - 2*z = -30 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -105, -166, -225?\n\"Answer: v**2 - 66*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -1132233013323?\nAnswer: 1132233013321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*53282549.\nAnswer: 10656509.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -113*y**2\/2 - y + 63. What is the derivative of j(q) wrt q?\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.004 - 3.104. Let y = f + -0.9. Let s = -29\/150 - -2\/75. Which is the nearest to 1? (a) y (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -124590721304.\nAnswer: -124590721303.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 0*l**2 + 0 - 1\/5*l**5 + 0*l**3 + 1\/5*l**4 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-2)*24\/20. Let h be (-131)\/(-2) + q\/(-4). Let n = h + -38. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from wllkavckclkkk.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 4. Suppose 0 = -4*b + 4*z + 116, 2*b + 2*b - 144 = -3*z. Suppose 0 = -8*d + 5*d + b. Let v = -15 + d. Determine y(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 17*c**2 + 13*c + 41. What are the prime factors of a(-15)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - n = -q + 9, 0 = 2*q - 2*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 4 + n**2 + 5*n**2 + 3*n - 3 as p*n + v + d*n**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 4 - 49 + (5 - 3 - 3)*(0 + 4 - 3))*(2 - 4 - 3 + 2*z).\nAnswer: -180*z + 450","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.038563 and 31.\nAnswer: 28.961437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0159 - -0.0041. What is the biggest value in d, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2*w)\/w**3)\/((w**(4\/9)\/w)\/w*w**5)*w**(-6)*w**(-9)*w**(-1\/7)\/(w*w**(2\/9)) assuming w is positive.\nAnswer: w**(-395\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 182335.062489?\nAnswer: 182332.062489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:36 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63019761 to the nearest integer?\nAnswer: 7938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287\/5 + -2 + (-40)\/(-25) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -164*a**2 + a + 27. Let f(r) = 163*r**2 - 3*r - 29. Let b(g) = -2*f(g) - 3*i(g). List the prime factors of b(3).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.765 (b) 5 (c) -0.4 (d) 2 (e) 0.34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 7*c + 8*c. Suppose c = -29*s + 26*s + 147. Calculate the least common multiple of s and 3.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -91. Solve -h + z*t + 10 = h, -2*t - 14 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -7*k**6\/60 - k**5\/60 - k**4\/24 + 2*k**2. Let s be h(-1). Calculate the remainder when (-1 - 1\/(-1)) + s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604905.2 centuries in months?\nAnswer: 725886240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/5 - (-19287)\/(-21430)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 3, -5941\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1.37, 0.05, -2, 0.4 in descending order.\nAnswer: 6, 1.37, 0.4, 0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.4 - -35.400946. Round w to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -10 - 5. Suppose -5*j - 7 = -c*u, 3*j + 2*j = -u - 11. Put u, 0, 2 in decreasing order.\nAnswer: 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2805700 to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22 and -12332263.\nAnswer: 271309786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 4*w**2 - 12*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-24))\/(9\/18). What is the closest to b in -2\/21, -0.4, -5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, and 1 n when three letters picked without replacement from {v: 1, h: 1, s: 1, n: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*p + 15, 0*r - r + 7 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-2 - (3 - (14 + -13)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 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 194 minutes before 11:56 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-11835)\/(-2))\/(-3)*272\/(-170). What is the highest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133\/726 - -2\/121. Let h be -1 + (-1)\/(-12) + (-9)\/(-36). Which is the second smallest value? (a) u (b) -1\/11 (c) h (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701633?\nAnswer: 41, 109, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 1, k: 2, z: 1, i: 1, g: 1}. Give prob of sequence ztgg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 8:39 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 + 3740438\/52 + (3\/(-2) - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781406 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/13)*y*y*((y\/(y\/((y**(-16)\/y)\/y))*y)\/y)\/y assuming y is positive.\nAnswer: y**(-217\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 30 - (-1 - 4) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**5 + v**4 - 7*v**3 - 11*v**2 + 5*v + 4. Let j(t) = -2*t**5 + 8*t**3 + 12*t**2 - 6*t - 4. Let x(p) = 3*j(p) + 4*k(p). Find r such that x(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1521 and 1006616052.\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5286 + 5282 + (-2 - 55).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11130244, 22260474, 33390704, 44520934?\nAnswer: 55651164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 3*x + 2*x)*(-18 + 5 + 5)*(7*x - 3*x + 2*x)*(25 - 124 + 0*x - 2*x) as n*x**2 + f + t*x**3 + h*x and give t.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q. Let u(a) = -899375*a**2. What is u(z(n))?\nAnswer: -32377500*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -13, -29, -49?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 335708 + 34?\nAnswer: 335743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 2*v**2 - 8*v + 13. Let u be f(3). Sort -8, 1, u in decreasing order.\nAnswer: 1, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w - 2*w**3 - 4*w**2 + 23*w**2 - 17*w**2 to g*w**3 + b*w**2 + n + j*w and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3920 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**2 + 1640*o = 0.\nAnswer: 0, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (10 - (3 - 0)) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 b when four letters picked without replacement from {b: 4, n: 2, i: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65212?\nAnswer: 2, 7, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5192 and 190157?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + -1)**2 - (0 + sqrt(605) - sqrt(605))**2) + 2 + 3.\nAnswer: -8*sqrt(5) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5824 - 34945\/6. Calculate the common denominator of -85\/5706 and y.\nAnswer: 5706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0561 + 320.9439. Let s = x + -321.2. Sort 5, -1, 3, s in descending order.\nAnswer: 5, 3, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 2\/5*m**5 + 0*m + 56 + 47\/3*m**3 + 0*m**2 - 11\/4*m**4. What is the third derivative of s(x) wrt x?\nAnswer: 48*x - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*c**2 - 35*c**2 - 20*c**3 - 181*c**2.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1563212 is divided by 16991?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*x**3 - 121*x**3 - 368*x**3.\nAnswer: -438*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 286*o**3 - 616*o**3 + 84*o**2 - o**4 + 2 + 333*o**3 - 2 to y*o**3 + x + v*o**2 + z*o + a*o**4 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/318 and (72\/28 - 2)\/((-1080)\/(-2940))?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-5))\/(5625\/(-25000))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.249 - -0.051. Let g = -3.93 - 0.07. Let r = -6 - -10. Which is the third smallest value? (a) r (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.73, 11, -1\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - x - 16 = -6*x, -4*d + x = 0. Let k be 2\/d + 1 + -1. List the prime factors of (6\/3)\/(1\/k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2 and ((16\/(-15))\/(16\/40))\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (50*f + 3*f + 16*f)*(-64 + 22 + 8*f + 29) in the form a*f**2 + b + m*f and give m.\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 47.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4138*s**2 + 4138*s**2 - 765*s**4 + (-4 + 6 + 0)*(-3*s**4 + s**4 + 4*s**4).\nAnswer: -761*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130143770 + 810245.\nAnswer: -129333525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 65880?\nAnswer: 65873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2. Let o(b) = -29970543*b + 1. Give o(r(l)).\nAnswer: -59941086*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03077 - 443.06923. Let y = t + 443. Which is the closest to y? (a) 0.2 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 - 87 = -9*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77\/(((-2)\/5)\/(136\/425*-10)) and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78419482 by -39209741.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5\/7 - 296*w**4\/7 - 8686*w**3\/7 - 7504*w**2 - 12312*w\/7 + 309024\/7 = 0.\nAnswer: -111, -29, -6, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -66. Let d(l) = 10*l + 8. Let j be d(p). Let f = -38 - j. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 + 6*c**2 + 674 + 162 + 3*c**2 + 78*c.\nAnswer: 9*c**2 + 78*c + 904","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 4*w + w)*(1 + 1 - 1 + (4 - 2 + 0)*(7 + 0 + 7)) as n*w + i and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25 - -4243.835.\nAnswer: 4244.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-33))**(4\/37)\/(v**(-12))**(12\/11) assuming v is positive.\nAnswer: v**(6824\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-2)*4\/(-6). Let u(d) = d**3 - 6*d**2 + 5*d + 2. Let n be u(r). Let c(i) = i**3 - 3*i**2 + 2*i + 1. Give c(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 h, and 1 j when four letters picked without replacement from ehjohyp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3707, 5, 39, 1?\nAnswer: -3707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*i**3 + 51*i**2 + i + 22027.\nAnswer: 84*i**2 + 102*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4003 is divided by 250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 43*y**2 + 44*y**2 - 7*y + 2*y - y as u*y**2 + m*y + q and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duuuuuuuuuuduududuuu. Give prob of picking 2 u.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 179.8696 minutes?\nAnswer: 10792.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 47263?\nAnswer: -47265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from tptbmtpmwmmtwtwtttm.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -17*h - 12. Let p be t(-4). Calculate the highest common factor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463991087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llzr when four letters picked without replacement from orooorozorrroolrlroo.\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) + (sqrt(187) - sqrt(187)*4)*-3 + sqrt(187)))\/(5*sqrt(1100)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21010?\nAnswer: 2, 5, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1\/2020377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 144 = -4*t + 4*n, -25 = 5*n. Suppose -t - 7 = -8*a. Suppose -a*o + 21*o = 75. Solve 4*z + 8*x - 41 = 3*x, o*x = -3*z + 37 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7094 + 3041. Suppose 28*b = 23*b + f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15 = -0*i. Suppose i = 3*o - 2*h, -3*h - 11 = -2. Let k(w) = 3*w + 5*w**2 - 2*w**o - w + 3*w**3. Give k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let k be o\/(2 - 47\/24). Let r be k\/14 + 4\/14. Solve r*m = 2 + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 4*s + 8, -5*s = 5*y - 6*y - 8 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 324 + -1297\/4. What is the biggest value in n, 4, -0.02, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 0, 62 in decreasing order.\nAnswer: 62, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8346, -33283, -74838, -133011, -207802, -299211, -407238?\nAnswer: -531883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1117*k + 43575. Determine q(-39).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0.4, 229\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-15))\/(-5)*9\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s + 203. Let y(t) = -t + 52. Let w(p) = 3*i(p) - 12*y(p). Let c(f) = 6*f + 7. What is -9*c(a) - 4*w(a)?\nAnswer: -6*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*732.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + 8*s)*(-2*s + s**2 + 2*s + (5*s - 3*s + 0*s)*(0 + 2*s + 0) + 3*s**2 + 7*s - 7*s).\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 73836 (base 9) to base 7\nAnswer: 262155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 2. Suppose 3*m - p*m = -15. Suppose -m*y + 74 = -y + 2*n, -142 = -4*y + 2*n. Is y greater than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/42 - 30073\/(-3). Suppose -13*t - 15*t = -g. List the prime factors of t.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 5*m - 4. Let t be p(0). Suppose -3 - 2 = -3*a + 4*w, 4*a = -5*w - 14. What is the tens digit of a\/(-2)*(-344)\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -14, 6, 0, 42 in decreasing order.\nAnswer: 42, 19, 6, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 1. Let m be v(0). Let b be m\/(-3) - 13\/(-3). Let l = b + -2. Solve -w = -2*w + 3*s + l, -5*w - 7 = 2*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 2, 36, 94, 176, 282?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3448 divide 722614790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651 is divided by 121.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2212\/(-16) - 9\/12. Let t = n - -535\/4. What is the common denominator of t and -83\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/29)\/j)\/(j\/(j**(-10)*j*j)*j*j)*(j**(1\/5)*j)\/j**5 assuming j is positive.\nAnswer: j**(-2301\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + 1 + sqrt(1300) - -5*(sqrt(1300) - -1*sqrt(1300)))*4 + 1)**2.\nAnswer: 3520*sqrt(13) + 40268801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 - 6*u + 14. Let c be v(6). Is 6 a factor of (1\/2)\/(1\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwqjsjjjjjsjzj. Give prob of picking 1 j and 1 z.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*i + 2058*i + 590*i.\nAnswer: 2407*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -58*i**2 - 14*i - 7119. Let u(a) = -35*a**2 - 8*a - 3559. Calculate -3*b(k) + 5*u(k).\nAnswer: -k**2 + 2*k + 3562","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 907245446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5 - 7*w**4 - 9*w**3 + 7*w**2 + 8*w = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52970230, 52970231, 52970232, 52970233, 52970234?\n\"Answer: a + 52970229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 33 = 27. Solve f + 4*f + g = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 20. Suppose -3*j - 33 = 7*s, 2*j + 0 = -3*s - 12. What is the least common multiple of t and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1223852 and 10025.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*21\/(-3) - (-360)\/30.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 74\/268581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1099 - 768. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 21 = -5*w + 24. Factor 3\/4*t - 3\/4*t**5 + 0*t**w - 3\/2*t**2 + 0 + 3\/2*t**4.\nAnswer: -3*t*(t - 1)**3*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from zhyyzpyzzyyyyyzp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 9\/18 + 5058\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 14*j + 7. Let t = 38765 - 38772. Let b(k) be the third derivative of 7*k**4\/24 + 2*k**3\/3 + 4*k**2. Give t*b(s) + 4*q(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m**3 + 224*m**2 + 314*m - 1. Determine o(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 16*d**2 + 113*d + 12. Let s be b(-7). Let j be 9\/(-3) + 1*5. Suppose -j*t - 2 + 4 = 0. Sort t, s, 2 in increasing order.\nAnswer: t, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5976.9752 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42, 177, 404, 723, 1134, 1637?\n\"Answer: 46*t**2 - 3*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 3. Suppose 0 = y + 2*y - 12. Let x = y + k. Calculate the greatest common factor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*u**3 + 140*u**3 + 171*u**3 + 129*u**3.\nAnswer: 98*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65) + 3*sqrt(65))\/sqrt(5) + (5*sqrt(117) - sqrt(117))\/sqrt(9))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, i: 7}. What is prob of sequence ui?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*v - 2*b**3 + 714*b**2 + 5*b*v**3 + 4*v**3 wrt v?\nAnswer: -2*b**3 + 15*b*v**2 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -134 in 0, -4, 3.4, -28.056?\nAnswer: -28.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*y - 61 = -2*d, -4*y = -4*d + 112. Suppose 32 = 21*q - d*q. Let w(i) = -14*i - 3. Is w(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 1. Let o(v) = v**2 - 8*v - 8. Suppose -2*a + 8 = -3*g, -5 = -0*a - a + 2*g. Let w(l) = a*o(l) + 5*t(l). Is 3 a factor of w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 5 + 8*y + y.\nAnswer: 9*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -5*i**5 + 35*i**4\/12 + 35*i**3\/3 - 84*i**2 + 1. Let a(h) = 13*h**2 - 3*h - 3. Give 70*a(z) + 3*y(z).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, 415, 866, 1317, 1768, 2219?\n\"Answer: 451*y - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -171187480, -171187481, -171187482, -171187483, -171187484?\n\"Answer: -j - 171187479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 62079 divided by 4498\nAnswer: 62079\/4498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -306 + 306.00000051. What is s rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 5*q**2 - 5*q - 3. Let n be x(6). Suppose 0 = b + 2*h + 2*h - 70, -n*h - 135 = -3*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169.847 rounded to the nearest 10?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (8 + -14 - (-10 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*y + 5*y. List the prime factors of 40\/(-25)*(-50)\/y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1414 divided by 8.\nAnswer: 707\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3426, -3270, -3114, -2958?\nAnswer: -2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 995*f. Let u(k) = 6402*k - 1. What is h(u(l))?\nAnswer: 6369990*l - 995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2732 - 23106*h + 5423 - 2691.\nAnswer: -23106*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhg when three letters picked without replacement from {v: 5, u: 6, a: 1, g: 2, z: 1, h: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1259*b**6 - 2*b**4 + 193*b**2 + 20*b + 2?\nAnswer: -151080*b**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2, -p + 9 = 2*m - 2*p. Which is the second smallest value? (a) m (b) 2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 22 + 29 = -3*v, 2*v = g - 18. Solve -l + g = 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2740 and 1720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86899, 225, 1 in descending order.\nAnswer: 86899, 225, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2456, -48\/23, -1 in ascending order.\nAnswer: -2456, -48\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8258 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668785458.\nAnswer: 2, 3, 11, 769, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 18*x + 719168. Let t be m(0). Let k = t + -345168. What is k rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 103507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2 + 2*n**2 + 7569*n - 1 + 0*n**2 - 7567*n - 4*n**3. Let q(u) = 9*u**3 - 5*u**2 - 5*u + 5. Calculate -2*q(p) - 5*w(p).\nAnswer: 2*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70\/73459413 or 1?\nAnswer: -70\/73459413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4\/5*t**2 + 336\/5*t - 7056\/5 = 0.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -7, -254 in descending order.\nAnswer: -7, -19, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -4 (c) -39 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 30 + 15 = 0. Is (2\/4)\/(b\/18010) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84088972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -13*j**2 + 5*j - 5. Let x(g) = -13*g**2 + 6*g - 5. Give -4*f(n) + 3*x(n).\nAnswer: 13*n**2 - 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11248 - -5?\nAnswer: -11243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 343, 406, 469?\n\"Answer: 63*j + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27\/2 + -13. Let k(w) = w - 5. Let n be k(4). Let s = 1 + n. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29106390 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 - 161 = 0. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t**2 + 12*t - 12*t)*(-11 - 4*t**2 + 11).\nAnswer: 56*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -97e1 (base 16) in base 12?\nAnswer: -1a601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11270*r**2 - 4*r - 584944*r**2 + 2*r + 0*r.\nAnswer: -573674*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2717 - -13643\/5. Find the common denominator of (-40)\/210*3 + (-3279)\/(-630) and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-119)\/1)\/(-7))\/(8\/((-16)\/2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a630 - -694?\nAnswer: b104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*c + 2613, 3924 = 3*m - 20*c + 17*c. What are the prime factors of m?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(20\/10 + 44\/(-10)). Let u be ((-108)\/(-21))\/(r\/(-504)). Suppose -3*a = -5 - 76. Calculate the greatest common divisor of u and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -23*v + 9. Is j(-6) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.6 + -29.6. Which is the nearest to 0? (a) l (b) -0.06 (c) -5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 144, 332, 584, 894, 1256, 1664, 2112?\n\"Answer: -g**3 + 41*g**2 + 2*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**3 + 118*i**3 - 3*i**3.\nAnswer: 136*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d - 4. What are the prime factors of d\/(-8) - (-254)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 c, and 2 u when four letters picked without replacement from {u: 7, c: 1, v: 2, j: 1, o: 9}.\nAnswer: 63\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/(6\/(-54)). Suppose s = 6*x - 15. Is x < 23\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219*t - 447*t - 131*t**2 + 31*t**2 + 229*t to i + m*t**2 + z*t and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -9 - (0 - -4). Suppose -c*w + 33 = -i + 9, 5*w - 29 = -4*i. Suppose -w*u + 1159 = 3*n, -4*u + 160 = 5*n - 762. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13115232 - 4?\nAnswer: -13115240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215.5726*5.\nAnswer: -1077.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**2 + 3690970*t + 681162977045 = 0.\nAnswer: -369097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*o + o - 16, 5*o - 25 = 0. Let j be (1 + (-1)\/i)\/((-3)\/(-2043)). Suppose -3*c + j = -254. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 937790 divided by 187558\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4\/(-26))\/((-41)\/(-492))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134)\/(-335) - (-1)\/(30\/1158)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4583 is divided by 293?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*q - 2*q. Is (-261)\/(-7) + q\/21 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2 - -731.2. Let j = -723 + o. What is the third biggest value in j, 46, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 38) + (2 - 6 - (1 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000 - -10110111?\nAnswer: 100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a*c - 345*a - 3040*c wrt a?\nAnswer: -3*c - 345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.20707 + 0.207. What is r rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 4*a, 5*a = 7*m - 57 + 81 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkz when three letters picked without replacement from ikoztztnzzzto.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120175.\nAnswer: 5, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4 + 5 + (sqrt(405) - (3 + sqrt(405)))*-2)*-5)**2.\nAnswer: 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -257 - -148 - (-7 + -62)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -29, -113, -241, -419, -653?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202102 (base 4) in base 5?\nAnswer: -200130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 4.291.\nAnswer: 3.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315*b**2*j**3*p**2 - b**2*j**3*p - 4*b**2*j + 7*b**2*p**2 + 2*b**2 + 113*b*j**2 + b*j*p + b*p**2 wrt p.\nAnswer: 630*b**2*j**3 + 14*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 9*y - 2*y + y - 7. What are the prime factors of j(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 387\/86*-2*(-3)\/(-72).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 163 = -3*u + 275, -5*b = 2*u - 2229. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 9401?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.556 + 0.024. Let o = 2.08 - u. Let l(i) = -i - 4. Let j be l(-7). What is the fourth biggest value in j, -2\/7, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-9))**(-46))**(-2\/69) assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 774947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvg when three letters picked without replacement from {g: 7, v: 1, a: 5}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -18*y + 44. Solve 0 = 4*b + b + y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a factor of 12302382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 75 - 224*g - 41*g + 124*g. What is the tens digit of f(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 18 (b) -2244 (c) -17 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*d = -1651652 + 108110. Does 65 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59392 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -5\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/60 + 7*z**4\/24 - z**3\/3 - 1241*z**2. Calculate x(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.1 - -48. Which is the smallest value? (a) -0.3 (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m + 15. Let i(t) = -t - 1. What is -a(v) - 5*i(v)?\nAnswer: -v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -19 (b) -0.1 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1375, -1499, -1821, -2437, -3443, -4935?\nAnswer: -7009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/582 and 41\/34629.\nAnswer: 69258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k - 3. Let i(j) = -10*j - 3. Let u(n) = -7*b(n) + 6*i(n). Let z(t) = t**2 + 2*t + 2. Calculate -2*u(h) + 3*z(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 9:13 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d. Suppose 4*r - 2*s - 42 = 194, 4*r + s - 224 = d. Suppose -5*f = -13 - r. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) -6012 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ott. Give prob of picking 1 t and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62380 - -62387. Let o(b) = -9*b**2 - 2*b + 2. Let n(g) = -1 + 7*g + 16*g**2 - 6 + 12*g**2. Calculate m*o(r) + 2*n(r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 1039*c**2 + 38255*c + 217217 = 0. Calculate c.\nAnswer: -1001, -31, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.5 + -3.9. Let q = -0.1691 + 0.0591. Which is the fourth smallest value? (a) 1 (b) y (c) q (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 9*h**2 + 2*h + 21. Suppose 0 = -3*x + 52 - 7. Let z(b) = b**3 - 15*b**2 + b - 24. Let k be z(x). Let j be p(k). Solve v = j - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 12:08 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:26 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:23 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4695.342ng?\nAnswer: 0.000004695342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 1. Let t be c(-2). Let y(h) = h**3 - 288*h**2 + 258*h**2 - 8 + 9 - 64*h. Let m be y(32). Solve -2*j - t*u + 2*u = -1, 2*u - m = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -272 + 52 = 7*j + 13*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*u**2 - 2727*u**2 + 49*u - 102*u - 2 - 9*u**3 + 53*u.\nAnswer: -9*u**3 - 2221*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 9. Let u be l(12). Suppose 24 = m + u*m. Calculate the remainder when m is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 18. Let k(c) = 5*c + 231. Calculate -4*i(m) + k(m).\nAnswer: m + 303","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 24*a - 13891 = 0. Round a to the nearest 10.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 26*s + 4*s**2 - 7*s - 4*s - 7*s**2 - 8*s in the form w*s + u + v*s**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236250?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 184 and -57.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 60. What is the smallest common multiple of d and (72\/84*2)\/((-2)\/(-7))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 10 = 8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1848399 and 64\/14523135.\nAnswer: 101661945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 3*i**2 + 7*i - 9. Let c(w) = -2*w**3 + 5*w**2 + 13*w - 18. Let v(y) = -3*c(y) + 7*r(y). Calculate the remainder when 47 is divided by v(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 1989.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -4. Is 7 a factor of h + (0 - (-6)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a factor of 6353837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/70)\/(2\/2568) + 2. Let k = y + -639. Solve 3 = k*v - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 86 = -6*g - 1750. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1 = -o, -3*s - 5*o - 8 = 13. Let z(c) = -3*c. What is the smallest common multiple of (9\/2)\/(3\/4) and z(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87020?\nAnswer: 2, 5, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -6*l + 11, 4*l - 28 = -5*l - 0*l + 5*l - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/8710 and -117\/20.\nAnswer: 17420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -102. Let d = z + 40. Which is the nearest to -2? (a) 0.09 (b) -2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 0 - 4 + f**2 + 6 - 3. Let q be b(-3). Find the first derivative of -10*g - q + 5*g + 7 wrt g.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/3 (b) -119 (c) -1\/16 (d) 3 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(12)\/sqrt(4)))\/(sqrt(81)*-1).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/299 and ((-12)\/10)\/((-14)\/(-60)).\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*k + 76*k - 17487 = 83*k for k.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18083449 is divided by 3616686?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4\/3)\/(y\/(y*y**(-4\/7))))\/(y*y*y**(-8)*y**(6\/11)\/y))**47)**(-2\/75) assuming y is positive.\nAnswer: y**(-98794\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 - (657\/(-30))\/3 and -95\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:59 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18535281 - 18535435.25422. Let p = t + 18.26452. Let v = -136 - p. What is v rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5 - a**3 + 2*a + 5. Let y be v(-2). Let f(z) = z - 2. Let g be f(y). Solve 10 = g*c - 0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-5))\/((-10)\/25). Let y = 2\/141 - -268\/987. What is the nearest to c in 4, y, 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*u + 3*u**2 - 46*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(-18)*45851\/(-67013).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**2. Let h(c) = 167163*c. What is h(u(v))?\nAnswer: 1337304*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486, -977, -1468, -1959, -2450?\nAnswer: -2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*i - 108 = 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 19*t**2 + 4\/3*t**4 + 0*t**6 + 0*t**7 + 0*t**3 + 0*t**5 - 1\/14*t**8 + 0 + 0*t. Find the second derivative of u(a) wrt a.\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6493970 divided by 85\nAnswer: -1298794\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 33*o + 12*o)*(-4*o**3 + 6*o**3 - 4*o**3).\nAnswer: -94*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*((sqrt(96) + -1*sqrt(96))\/sqrt(8))**2*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187 a factor of 606623720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 18*r**2 - 33*r - 12. Let h be s(-16). Let w be (0 - (0 + 1))*h. Let l(t) = -t - 2. Determine l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 6*w**2 - 4. Let j be q(-6). Let a(z) be the first derivative of z**4\/4 + 5*z**3\/3 - z**2\/2 - 2*z - 3. Is a(j) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*f - 16*f + 21*f + (-325 + 325 + 108*f)*(0 + 1 - 2).\nAnswer: -116*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17817503047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (8626\/8)\/((-35)\/(-140)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q + 2. Suppose -q*r + 107 = 19. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 8. Does 6 divide r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {y: 13, k: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0.14 (c) -5 (d) 551 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**2 + 12*m - 12. Let h(r) = 4*r**2 + 5*r - 5. Let i(u) = 12*h(u) - 5*j(u). Let k(y) be the third derivative of -y**5\/60 - 11*y**2. Give k(i(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 8) + 2 + 0 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-8)\/(-18)))\/(68\/(-136))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/13 - 1310*q**4\/13 + 6512*q**3\/13 - 7792*q**2\/13 - 5216*q\/13 + 800 = 0. What is q?\nAnswer: -1, 2, 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 1. Let m(b) = -6*b**2 - 7. Let n(h) = -21*d(h) + 3*m(h). Let y(r) be the first derivative of 0*r**2 + 0*r + 2 + 1\/3*r**3. Calculate n(y(a)).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 - 3*a - 2. Let y(d) = -11*d**3 + d**2 - 8*d - 5. Calculate -8*w(g) + 3*y(g).\nAnswer: -g**3 + 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**3\/3 - 3*t**2 + 3*t. What is the first derivative of s(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = 16*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*m - 1, -2*m + 2*o + 9 = 7. Let x(u) = 8 + 1 + 10 - u**3. Is x(m) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1562 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**3)\/z**(-1))\/(z\/(z\/(z**(-2\/5)\/z)*z))**(-4))\/(z*z**(1\/15)*z**(-1\/7))**(9\/5) assuming z is positive.\nAnswer: z**(-746\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 3*m - 4*m - 124*m - 5154 + 5154 + (-2 + 2 - m)*(1 + 3 - 2).\nAnswer: -124*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/12 + 7 + (-1 - 0)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + -8 + 15)*((-12)\/8 - -2). Sort 3, 4, 5, -11, w in descending order.\nAnswer: 5, 4, 3, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -44, 5 in increasing order.\nAnswer: -44, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 10*j**3 - 7*j**2 + 2*j + 5. Let r(q) = -q**3 - 92*q**2 + 93*q + 3. Let g be r(-93). Let i(z) = 5*z**3 - 4*z**2 + z + 3. Determine g*t(s) - 5*i(s).\nAnswer: 5*s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3513986000 to the nearest 1000000.\nAnswer: 3514000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/126*(-30)\/(-40). Which is the third smallest value? (a) 1\/58 (b) -0.5 (c) -5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.43 - 0.03. Suppose 5*c - 10 + 3 = 2*r, -2*c = -4*r + 10. Suppose 11 = -2*a + 3*z, 16 = 6*a - c*a + 2*z. What is the closest to 0.1 in a, n, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/390*(-70)\/(-21).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259714 divided by 91.\nAnswer: 2854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -3*t. Suppose -t*f - h - 63 = 0, 0 = f - 3*h - 0*h + 32. Let n = 41 + f. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 3, b: 4, s: 4, p: 3, c: 2}. What is prob of picking 1 b and 1 s?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + 1 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 smaller than -182\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72040541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -27 - (189 + -174).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702, -380, 150, 876, 1786, 2868, 4110?\nAnswer: 5500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 64*v**2. Let j be b(-1). Suppose -3*y = -j - 8. Suppose -y = -3*w + 9. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 71077 = -2*g, 4*g - 4*y - 12347 = 129849. What are the prime factors of g?\nAnswer: 2, 3, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-420)\/(-75)*(-2)\/(-4)*5. Suppose -662 - 402 = -d*n. Calculate the remainder when n is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = -5*f + 3*f + 43, -5*d + 0*f + 6 = 2*f - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 389, 1556, 3499, 6218?\n\"Answer: 388*f**2 + 3*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.49\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398802, 398803, 398804, 398805, 398806?\nAnswer: 398807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 - 35495*p**3 - 419953176*p**2 - 1656015333696*p + 1656435322368 = 0. What is p?\nAnswer: -11832, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 32 - 10*i - i**3 + 11*i + 33 as n*i**3 + d*i + c*i**2 + p and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85003 is divided by 82552.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.01659 + 0.088188. Let x = 1.15477813 - b. Let r = 0.05 - x. Round r to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 11. Suppose -4*y - 2*i = -y - 22, -y - z*i = 10. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, t: 5}. What is prob of sequence ttt?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -1329, 0.3 in descending order.\nAnswer: 4, 0.3, -1, -1329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*r. Let g be (r\/(-2))\/(6\/3). Suppose 0 = t - 5 - g. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - -1*sqrt(2299)*2)**2.\nAnswer: 20691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/80 and 63\/88?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*y, 3*p - y = -3*y + 23. Let c be (-51)\/(-6) - (4 + -2)\/(-4). What is the greatest common factor of p and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69\/92 + (-57)\/(-4). Let s be (-3)\/(-2) + b\/10. Is 3 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.722402 to 0 decimal places.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/(-8) - 10\/(-40). Factor -11 + 6*x**2 + 5*x - 3*x**3 + x + c - 3*x.\nAnswer: -3*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3080 or 314?\nAnswer: 3080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3221862 is divided by 1094?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2993963052 by -4.\nAnswer: -748490763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1087 or -59789\/55?\nAnswer: -1087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-7)*(1 + 132\/36). Suppose i*f + 1243 - 1447 = 0. What is the remainder when 131 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - 4) + 8*(1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Is 10\/4*2*t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8712, 17091, 25470, 33849?\n\"Answer: 8379*r + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308\/6 + (-3)\/9?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u**2 - 3*u. Let x(b) = -39*b**2 + 13*b - 1. Let f(v) = 26*h(v) + 6*x(v). Find the first derivative of f(o) wrt o.\nAnswer: 52*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 112*s**2 + 48*s - 443. Does 25 divide i(47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126 - -41 - 135 - (67 - 1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530060 and 1394.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15095038 and 362?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -8. Suppose l*r - 2*r = 35. Let q(c) = c**3 - 6*c**2 - 5*c - 9. Is q(r) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -104, 8\/5?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/3)\/(((-18)\/36)\/(-33*(-2)\/12)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*o + 6, 3*o - 3*g = -2*o + 6. Let s(z) = -z**3 - z**2 - 3*z. Let l(k) = 0*k - k**2 + k - 2*k**3 - 5*k. Calculate o*l(a) - 4*s(a).\nAnswer: -2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70610773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 2071?\nAnswer: 2070.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 5:46 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 286*d - 14736. Is m(171) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a, 2*d = 7*d + 4*a - 198. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1335380?\nAnswer: 1\/267076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2 - 8*p - 8. Let m(o) = -o**2 + 3 - 16*o + 9*o + 10*o. Determine 4*f(u) + 11*m(u).\nAnswer: u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 243842692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 16. Let z(h) be the second derivative of -h**4\/12 - 21*h. What is l(z(q))?\nAnswer: -2*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-17 + 12 + -1 + 5). Let p be ((-32)\/10)\/(l + 16\/60). Which is bigger: p or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 74605 + 74980 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -h - 4, 0*s - 5*s - 14 = 3*h. Suppose -3*y - 5*m = 9, 16 = 5*y - m - m. Let g be 0\/(8\/2 - y). Put 1\/9, s, g in decreasing order.\nAnswer: 1\/9, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.09 - 20. Let k = i - -0.11. Let d = -30\/11 - -183\/55. Which is the second biggest value? (a) d (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 1408893324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 9 = -c + 10, 5*a = -3*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 6) + 0 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 16) to base 12.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 490 + -405. Let b = 24 + -16. What is the remainder when n is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217558450 divided by 7795?\nAnswer: 27910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzbzzzzzzz. What is prob of sequence zzz?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Which is the smallest value? (a) -10 (b) 0.8 (c) -4 (d) 225\/17 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 + -68.35. Let j = g + -0.650000117. What is j rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*l**2*r*x + 2*l**2*x + 9*l*r*x - 20*l*x + 2*r*x wrt r.\nAnswer: 4*l**2*x + 9*l*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411968*t**2 + 225 - 109 - 116.\nAnswer: 411968*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:53 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/37 (b) -26770\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + z - 41. Let a be n(7). Suppose -a*u + 80 + 415 = 0. Is 34 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*k + 94788, k - 9*x + 4*x = -31580. Round k to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - z + 6 = -0, -2*p - 2 = -3*z. Put -7, -2, p in descending order.\nAnswer: p, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34419653 from 0.0665.\nAnswer: -34419652.9335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 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: Let g(t) = -t**2 - 3*t - 1. Suppose 621 = -4*i + 13*i. Let u = 79 - i. Let q be ((-5)\/u*14)\/1. What is g(q)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 14 = 34. What is the third derivative of -h**6 + 4*h**5 + 2*h**2 - i*h**5 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-847) - (-73)\/(-12775)*100?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 3*p + 34. Suppose -p = 7*b - 10. Which is greater: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 8. Let k be (-1)\/(-4) + (-443)\/60. Let s = k - -22\/3. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162819612068617 - 0.6\nAnswer: 162819612068616.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = 3*w - 311. Put 0, 1, w, 26 in increasing order.\nAnswer: 0, 1, w, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -956166, -956170, -956172, -956172, -956170, -956166?\nAnswer: -956160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 14*c - 20. Give s(-23).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 122 + 104, 0 = 3*h + 2*r - 867. Calculate the greatest common factor of h and 690.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518\/3626 + (1 - 19528\/(-14))?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 2, 1\/4, -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 0.14.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422839, -424448, -426059, -427672, -429287, -430904?\nAnswer: -432523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13983*n**2\/8 - 447447*n\/8 - 36.\nAnswer: 3*(n - 32)*(4661*n + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/35 and -68\/705.\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -809 + -5?\nAnswer: -80e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 20 = -5*a, 7075*a + 41 = 7067*a - 3*u for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 143. What are the prime factors of o?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18031 and 522158.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s - 49 + 52 - 10*s in the form n*s + j and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (5 - 6) - (6 + -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0*g - 62. Suppose -5*p = -3*l + g, 3*p - 12 + 35 = 4*l. Suppose -h - 11 = -l*h. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11961 + 11961. Sort 70, -5, b, -1\/7, -0.1 in ascending order.\nAnswer: -5, -1\/7, -0.1, b, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 6*r - 26. Let t be b(-7). Let z = t - -25. Find the first derivative of 3*q - 10 - 10*q**2 + 3*q - z*q wrt q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.021171 - 42.1\nAnswer: -42.078829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 2*h + 3*h)*(-1 + 4 - 2)*(0*h + 3*h - 5*h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 768, 2113, 4738, 9069, 15532, 24553, 36558?\nAnswer: 51973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/10 + 7*f**4\/12 + 10*f. Find the third derivative of z(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09721 and 2089.67.\nAnswer: 2089.57279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljlvljjjlllljn. What is prob of picking 1 v and 2 j?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1358204 divided by -914\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5481 and -0.06.\nAnswer: -0.092886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-40)\/60)\/(1*-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-34)\/(-153).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*t**2\/8 - 93*t\/8 + 13\/4.\nAnswer: (t - 13)*(7*t - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f - 42. Suppose 0 = -4*s + 11 + f. Solve 0 = 4*w - s + 4, 4*n = -4*w + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640001 and 841.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.2195 rounded to one dp?\nAnswer: -99.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:28 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276842 and 596?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1046.6867088.\nAnswer: -1044.6867088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2875+104\nAnswer: -2771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 930\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7691*i + 3966. Let b(x) = 30809*x - 15864. Let q(p) = 2*b(p) + 9*j(p). Differentiate q(o) wrt o.\nAnswer: -7601","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568470261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5606.2 - 5606. Which is the second biggest value? (a) -2\/3 (b) r (c) -0.2 (d) 95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -2 + 2 - 20.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c + 0 - 6\/5*c**2 + 16*c**3.\nAnswer: 2*c**2*(40*c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*108\/(-2) + -1. What is the units digit of ((-319)\/a)\/((-2)\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 249. Let a = 125.161 - l. Round a to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 806 in -4, -1, 3\/22, -0.23?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27471*50\nAnswer: 1373550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b - 2*i, 35 = 5*b - 2*i + 10. Let d = b + -2. Suppose -10 = 3*o + 4*a, -d*o - a = 2*a + 2. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*a = 4, -9*m + 4*m - 4*a - 36 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629697.8 rounded to the nearest one hundred?\nAnswer: 1629700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -33, -80, -165, -300, -497, -768, -1125?\nAnswer: -1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + u**2 + u + 323. Let x be o(0). Let r = x - 134. Suppose -11*b = -14*b + r. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -6*sqrt(84)*-1)\/(sqrt(72)\/(sqrt(12) + (sqrt(192) - sqrt(12)))))\/((sqrt(14)\/sqrt(2) - sqrt(7) - sqrt(7))*-1 - -1*sqrt(448)).\nAnswer: 28*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 670, 1098, 1310, 1312, 1110, 710?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 = 5*t + 1, 3*t = 5*f + 23. Let b = -5 - -10. What is the remainder when (-5)\/2*(f - b) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 3*w**2 + w. Let b(v) = -v - 1. Let x(k) = -6*k - 3. Let r(z) = -3*b(z) + x(z). Give r(j(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42587 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 9. Let k = -12 - -46. Suppose 4*y = d + k, 2*y + 2*d = -0*d + 12. Calculate the lowest common multiple of 7 and b(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*l**3 + 11*l**3 - 5*l**3)*(0 + 0 + 1 - l - 4*l + 6*l - l - l - l + 3*l - 1 + 1 + l + (-1 - 1 + 3)*(l + 2*l - l)).\nAnswer: 116*l**4 + 29*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335618831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23052885 divided by 579?\nAnswer: 39815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 16 = -h + 5*a, -5*h + 4*a = 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 27*n**2 - 7. Let o(k) = k**3 + 14*k**2 - 4. Let z be (2 - 8) + (-102)\/(-34). Give z*l(t) + 5*o(t).\nAnswer: 2*t**3 - 11*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 2\/7, -0.1, -1.3, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 361\/666 - -1\/74. Let n = -7940 + 246193\/31. Calculate the common denominator of r and n.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2529920519 to the power of 1\/3, to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -113442213 (base 5) in base 16?\nAnswer: -819f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405545419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -97.6 + 98. Let g = -0.5894 - -0.0894. What is the nearest to -2\/5 in a, 1\/15, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(9072) + sqrt(9072) + sqrt(9072)))\/(sqrt(576) + (sqrt(576) - (sqrt(576)*-1 - sqrt(576)))*3).\nAnswer: -9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**2 + 6*h**2 - 120258*h**3 - 2*h**2 + 6*h**2 + 120261*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -189 and -1761858961776?\nAnswer: 1761858961587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -7*v**6\/60 + v**5\/60 + 28*v**3\/3 - 43*v**2. What is the third derivative of h(c) wrt c?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 9 = 24*r - 21*r, 2*r - 6*t - 6 = -t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 a factor of 111893111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10416310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -82117 plus -0.2?\nAnswer: -82117.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25\/15 - 3 - (-62)\/6 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9964 and 1880.\nAnswer: 99640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1200, -2128, -3056, -3984?\nAnswer: -4912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-17 - -29 - 21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122222012012 + -2221?\nAnswer: 122222002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16*x**3 - 3*x**2 + 7*x - 7. Let m(t) = 8*t**3 - t**2 + 4*t - 4. Let n(v) = -4*f(v) + 7*m(v). What is the third derivative of n(d) wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/192*6\/20\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27219706 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 11*u - 15*u + 24*u + (0 - 2 - 1)*(-5*u + u + 3*u) as j*u + a and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45016.\nAnswer: 2, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20021 (base 4) to base 14\nAnswer: -293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*(-3 + (sqrt(2057) + 3 + sqrt(2057))**2) - (sqrt(51)\/sqrt(3) + 0 + -3 + -1 + sqrt(17))).\nAnswer: 526*sqrt(17) + 32937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*v + 144*v + v**2 - 59*v - 223*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3 and 28\/153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -47. Suppose j*y - 52*y = 32. What is the least common multiple of 58 and y?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90978?\nAnswer: 2, 3, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.568.\nAnswer: 0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d - 6. Let o(r) = 5*r + 5. Let h(j) = 3*o(j) + 2*w(j). Let s(v) = -v**3 - v**2 + 4*v + 7. Let y be s(-2). What is h(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -16*n**2 + n + 1. Let h be d(-3). Let x = 221 + h. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + sqrt(396)*-2 - (sqrt(66)*2)\/sqrt(6)) + -1)**2.\nAnswer: 16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 5*m - 7. Let z(r) = -2*r**2 - 6*r - 7. Let l(u) = 3*s(u) - 2*z(u). Let t be l(6). Solve t*d - 6*d + 25 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 5)*(-1 + 2 - 2) - 5 + 4 - 3)*(-8*f + 5*f + 0*f).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -272, -173, -4, 241, 568?\n\"Answer: k**3 + 29*k**2 + 5*k - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqxv when four letters picked without replacement from xxqqxqqvqxxxqx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(25\/(-55)) + 888\/80\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 4*t**2 - 2*t + 10. Let l be z(7). Let b be 2\/6 - (-10)\/(-30). Suppose -3*p + l - 17 = b. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = 2*l. Suppose 0*q = 2*q - l*k - 22, 25 = -5*k. Suppose q*b = -7*b + 1300. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2137 times -1.3?\nAnswer: -2778.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 1076*g + 2144.\nAnswer: 2*(g - 536)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -2051733?\nAnswer: 2051720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651949245?\nAnswer: 3, 5, 14487761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 4 (b) 5 (c) 92 (d) 1\/2 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*(-34)\/8925*33.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*g + 10 = -31, -4*v = 2*g - 24. Suppose 2*j + 30 = v*j. Let i be 4\/((-16)\/j)*2. What is the closest to 1 in i, 0, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*b**2*y**2 + 11*b**2 - 4739*b*y**2 + 4*b*y - 2*y**2 + 2103*y + 2 wrt y?\nAnswer: -30*b**2 - 9478*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 501, -0.4 in ascending order.\nAnswer: -4, -0.4, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2)*(0 - (32 + -5)). Let g(z) = 54*z - 1. Let m be g(-1). Let j = y - m. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 141713?\nAnswer: 3\/141713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.4 (c) 0 (d) -6\/5 (e) 1038 (f) 1.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from {r: 3, w: 4, m: 2, h: 7, s: 2}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 795894013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 27 = 5*v, n - v = 6*v - 5*v - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78266906 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 + 2*h - 2. Let o(w) = -w**2 - w. What is n(a) - 2*o(a)?\nAnswer: -2*a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19147 is divided by 6214.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 2*p + 24. Let l(w) = 2*w**3 + 5*w**2 + 2*w. Let g be l(p). Solve 4*d = 20 - g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 1478*n**2.\nAnswer: -2*n**2*(n + 739)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*t**2 + 1912 + 1808 - 3776 as q*t**2 + u + h*t and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1167, 7258, 23497, 54864, 106339?\nAnswer: 182902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 589 (b) -20 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1126 divided by 756168\nAnswer: -563\/378084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16065 divided by 945?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4142*n + 2 - 2.\nAnswer: 4142*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, e: 12}. Give prob of sequence eeev.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 2. Suppose 15*x + 33 = 26*x. Calculate i(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16232 divided by 9?\nAnswer: 16232\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4466, -8941, -13416, -17891?\n\"Answer: -4475*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:19 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 101100001111110 (base 2) to base 8\nAnswer: 54176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 - -33.79. Let b = 32 - t. Which is smaller: 1\/12 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4326400 to the nearest 10000.\nAnswer: 4330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + h - 6, 5*b - 272*h = -271*h + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*o + 5, v + 3*o + 6 - 5 = 0. Let q = -68 - -69. Suppose p - v = 4*h, 0 = 2*p + 2*h - 19 - q. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 5*y - j, -6*y + 7*y = -4*j + 57. Suppose 4*r - 2*q = 176, r + 2 = -q + y. Let w = 18 - 3. What is the greatest common divisor of w and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2. Let b(o) = -53 + 39 + 0*o + o. What is a(b(q))?\nAnswer: q**2 - 28*q + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 2:32 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6353689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*y - 71 = 0, -5*z = y + 65 + 99. Let x be 2\/6 + (-520)\/(-15). Let u = x + z. Put 0, u, -4 in descending order.\nAnswer: u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -686029, -686025, -686021, -686017, -686013, -686009?\nAnswer: -686005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppwwwwwppwwp. Give prob of picking 3 w.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 42 - 122. Let u be 1*d\/2*8\/(-64). Let 2*p**3 - u*p**5 - 1 + 0*p**4 - 3\/2*p + p**2 = 0. Calculate p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 7 (c) 0.4 (d) -65 (e) -1\/2 (f) -14\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -166. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 6) to base 10.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52484 is divided by 1640.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -1705753?\nAnswer: -17057.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 9. Let g be o(-9). Solve p = -5*n + 16 + g, 4*n = 4*p + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.45549 to two decimal places.\nAnswer: 37.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 220*q - 4802. Give v(26).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491593849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-18694)\/624 - -38?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1690 + 531 = -l, -4*s + 2222 = -2*l. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p + 588 - 588 = -5*p. Which is smaller: p or 11306?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqt when three letters picked without replacement from ooqtoaoaoaoqoggqjg?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 925 divided by -1762\nAnswer: -925\/1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2, -2321, -0.24?\nAnswer: -2321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -107\/85668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -125*m + 851. Determine n(8).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -4) + 4 - (30 + -32 - 15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and 6?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0188 - -0.0188. Which is the third smallest value? (a) q (b) 0.5 (c) 3 (d) -3\/13 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 0)*(z + z + 0*z)*(-3 - 3 + 5)*(-1 - 4 + 6)*(11*z**4 + 4*z**4 + 0*z**4).\nAnswer: 210*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 - 2*v + 2. Let j = -11 - -6. Let w(c) = -9*c**2 + 5*c - 5. Let t(o) = j*r(o) - 2*w(o). Let m(g) = 9*g. Determine m(t(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 5*l + 5. Suppose 2*p = -4*y - 0 - 2, -3*p - 4*y = -3. Let t be a(p). Round t to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stlllltlplsc. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*i - 561, -5*i - 128 = -4*w - 873. Let j = w + 191. Put j, 26, -3 in decreasing order.\nAnswer: 26, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 8\/(-4) - (64\/8 - 6)*4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1805750, 3611558, 5417362, 7223162, 9028958, 10834750, 12640538?\nAnswer: 14446322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 9. Let f(z) = -4*z - 36. Let y(r) = -6*f(r) - 22*i(r). Let t be y(-9). Solve 2 = d - t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208928107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 9:20 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 15. Let h be d(-13). Let a = 5 + -9. Let b = -5 - a. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 0)*(-5726 + 3404 + 2825)*(8*h - h - 2*h) to the form v*h + l and give v.\nAnswer: 5030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 66151 = 5*p + x, 2*p = -3*x + 132302. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 255.56 + -0.003095.\nAnswer: 255.556905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - 1.93. Let t = 6 - 8. Which is the closest to t? (a) 4 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.261542 - -352867507.\nAnswer: 352867506.738458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -253, -557, -917, -1339, -1829?\n\"Answer: -d**3 - 22*d**2 - 231*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358914 divided by -3.\nAnswer: -119638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 19*b**2. Let p(n) be the third derivative of n**5\/60 - 233*n**4\/24 + 37*n**2 + n + 3. Calculate p(h(y)).\nAnswer: 361*y**4 - 4427*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let p(f) = 11*f**2 - 64*f - 9. Let h be p(6). Suppose -w + h*z = 14 - 4, 5*z = -2*w + 24. Which is the nearest to w? (a) 1\/4 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0.1, 2 in ascending order.\nAnswer: -4, 0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55197, -441422, -1489677, -3530976, -6896333, -11916762, -18923277, -28246892?\nAnswer: -40218621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9140058913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r**(1\/3)\/r)\/(r**(1\/3)\/r)**(-33)*(r\/(r\/((r*r*r*r\/(r**1*r))\/r*r)*r*r))**(-3\/23)*r**(-1)*(r**3*r)\/r assuming r is positive.\nAnswer: r**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -i - 808*x + 813*x, -6*i + 53 = -x for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2862*g**2*v**2 - 85*g**2*v - g*v**2 + 2*g*v - 12*v**2 + 5*v - 9 wrt v.\nAnswer: -5724*g**2 - 2*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -31 + -1802945\nAnswer: -1802976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 9. Let v be (-48)\/i + (-42)\/(-105). Let z(b) = -b**2 + 16*b - 22. Is 9 a factor of z(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6324 and 29172?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 2*y**2 + y**2)*((18 + 9 - 20)*(1 - 3 - 2) + 1 - 1 - 5).\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -5 + -14 - 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s - 814 = 17*s. Suppose -4*h - 4*o = -0*h - 436, -5*o = -h + 103. Calculate the remainder when h is divided by s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 13932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35968*s**5 + 36*s + 100.\nAnswer: 719360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5 - (1 + -7)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 25783570*o.\nAnswer: -5*o*(o + 5156714)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 5. Let x(n) = n**3 - 3*n**2 + 3*n - 4. Let h be x(3). Calculate the greatest common factor of m and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 8*r**6\/15 + 13*r**3\/6 + 5*r - 6. Find the second derivative of p(v) wrt v.\nAnswer: 192*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u**3 + 2*u**2 - 2*u - 5. Let i(n) = 25*n**3 + 4*n**2 - 5*n - 12. Give 2*i(j) - 5*y(j).\nAnswer: -10*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llyvlyvvlvvbyvllvv. Give prob of sequence vlv.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 8 = 3*d, -4 = -2*i + i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -8. What is the remainder when 13 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3552*t - 1646*t - 61 + 69 + 112*t)*(t**2 - 3*t**2 + 0*t**2) to l + q*t**2 + u*t + d*t**3 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8370 and 465?\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.30749 to one dp.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.28988 micrometers to meters.\nAnswer: 0.00008828988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -413 + 721. What is the highest common divisor of 28 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5043*f**3 + 1772296545*f**2 + 86453499*f + 1054311 = 0. Calculate f.\nAnswer: -1\/41, 351437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4729.\nAnswer: 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 + 178. Let q be 51\/(-4)*(-28)\/21. Suppose -12*y = -q*y + x. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455546 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 + 8*l + 9. Calculate t(-4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 226267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 56 = 4*g, -3*g + 2*h - 6*h - 41 = 0. Let c = -7 - g. Let a(l) = l**2 - 12*l + 1. Let v be a(c). Let d(k) = 4*k**2 + 2*k - 1. Give d(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(3 - 1\/(-1)). Let n(q) = -q**2 + 5*q - 2. Let u be n(h). Let o be 2 - 0 - 0\/u. Sort -0.4, 0.4, o in decreasing order.\nAnswer: o, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g**3 - 9*g**2 + 8*g + 32. Let p be z(-8). Suppose -2*l - 14 = -56. Suppose 23*v - p = l*v. Round v to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-2) - (-1360)\/(-34).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 1 + 0*h - 2\/3*h**3 + h**2. Find f, given that c(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(8) - -2*((sqrt(8) - sqrt(648)) + sqrt(8)))\/(sqrt(12)\/sqrt(300)).\nAnswer: -130*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*u + 25 = 121*u + 133 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - 459\/24)\/(-31 - -16) and 99\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k + 15*k + 30 - 22*k. Let i be q(-7). Factor -2\/11*b**3 + 4\/11 + 2\/11*b - 4\/11*b**i.\nAnswer: -2*(b - 1)*(b + 1)*(b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51851, -206089, -463153, -823043, -1285759, -1851301, -2519669?\nAnswer: -3290863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6970801 - -0.7.\nAnswer: 6970801.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 221, 216, 207, 194, 177?\n\"Answer: -2*i**2 + i + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.17 - -0.17. Let a = -37 - -112\/3. Let v be (9\/(-2))\/(-3 - 0). What is the nearest to i in 0, v, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**20)**2*(m**(-7\/4))**(12\/7) assuming m is positive.\nAnswer: m**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*-1*-2. Let j be 0\/(m\/(2\/(-4))). Let x(d) = -d + 5. What is the remainder when 14 is divided by x(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 101 = -129 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - i = 10, -117*i + 237*i + 4 = s + 115*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 16 + 22. Find the common denominator of (c\/(-14))\/(2\/(-12)) and -74\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**2\/2 + 11*i - 1. Suppose 0 = -111*x + 85*x - 208. Let g be r(x). Solve -4*l + g*l = 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82744.22 litres in millilitres?\nAnswer: 82744220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from axxbxav.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 4, 3908.\nAnswer: -23, 4, 3908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f = 4010972 - 478740 + 261460. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhmmmmpmmmmpmm. Give prob of picking 3 m.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0550998 * -0.2.\nAnswer: -0.01101996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -r + 12, -6 = -14*u - 3021*r + 3020*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-23 + -7) - (-4 + 2 - 0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 38*a**2 + 5*a - 5. Let d(z) = 19*z**2 + 2*z - 2. Suppose 7*t - 48 = 31*t. What is t*g(u) + 5*d(u)?\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8*o - 12 = 0. Solve -2*m + 0*n - o*n + 2 = 0, -5*m + 5 = -2*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1196212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 2:24 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -10 - 2. Find q, given that -s - 2*q - 6*q**2 - q - 3*q**3 + 4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (15\/(3 - 0) + 27\/(-540))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2154900175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcccwwwwww. What is prob of picking 2 w?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**3\/3 + 3*u**2 - 5*u - 1. Suppose 2*t - 3*c - 13 = 0, 2*t - 4*t + 6 = 4*c. Let j be l(t). Solve j = -y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39308\/1499 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 1, g: 2, w: 1, p: 1, i: 1}. What is prob of sequence qw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*r**2 - 329*r**2 + 1380*r**2 - 355*r**2 - 345*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -9 + 1\/2*d**2 + 0*d + 25\/3*d**3. Let z(a) = a**2. Give z(w(s)).\nAnswer: 625*s**4 + 50*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/63063 and 1\/1287.\nAnswer: 63063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 60*i - 63*i - v, i = 7*v - 1 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10984 or -98858\/9?\nAnswer: -10984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -303?\nAnswer: -4\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -62 (b) -3 (c) 3 (d) -2.691 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1239420 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14985 + 14986 - 6*r**3 + 29*r**3 + 21*r**2 as s*r**3 + d + m*r + t*r**2 and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 228\/14 + 6\/(-21). Let k = g - 8. Let r = 50 - 30. Calculate the highest common divisor of k and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -137. Suppose -22*z = f*z. Let d = -202 - -2218\/11. Is z greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-3 + (0 - -11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12331\/(-3124) - ((-4)\/2 - 2) and -93\/22.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 6*y**2 - 19*y + 17. Determine d(-8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f**2 - 4*f + 4. Suppose p - 1 = 2*p. Let y(g) = -g + 1. Determine p*w(s) + 4*y(s).\nAnswer: s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1439.954867 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 72. Let m(j) = 3*j + 828. Give m(l(r)).\nAnswer: -3*r + 1044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253 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: Simplify (g**(-1\/3)\/(g*g**(3\/2)\/g))**(3\/29)\/((g**(-7)*g**3)\/((g\/g**(-2\/13))\/(g\/((g\/(g\/g**2))\/g)))) assuming g is positive.\nAnswer: g**(3743\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9440)\/(-64))\/(36\/(1872\/494) + 1 + -8)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**39*n))\/n**(-16\/3))\/((n*n**(-4\/19))\/(n\/((n**(-23)*n)\/n))) assuming n is positive.\nAnswer: n**(-596\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 284 - 298.3. Let c = u + 14.8. Sort 4\/7, -1, c, -3\/8 in decreasing order.\nAnswer: 4\/7, c, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/8 and 5\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92765830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 4*n**2 - 3*n + 4. Let l be g(-5). Let y be ((-9)\/l)\/((-3)\/(-14)). Solve -20 = -y*m + 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3787768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -69. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 2 + 12 - 23*b + 2*b. Let w be m(-6). Let o(d) = 2*d**2 + w - 166. Let k(v) = 3*v. What is k(o(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2809702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0, -6 in increasing order.\nAnswer: -28, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/3 - 74*o**3 + 439*o**2\/3 + 74*o - 440\/3 = 0. Calculate o.\nAnswer: -1, 1, 2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0338 - -0.02814. Round d to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198309, 198325, 198353, 198393, 198445, 198509, 198585?\nAnswer: 198673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2\/4 + 231*w\/4 - 225\/2 = 0 for w.\nAnswer: 2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378) - sqrt(42))\/sqrt(6) + (sqrt(7) + (-3*sqrt(14))\/sqrt(2))**2.\nAnswer: 2*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o*v**3 - 11*o*v**2 + 5*o*v + o - 1087*v**5 - 2*v**3 wrt v.\nAnswer: -18*o - 65220*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-112)*(186 + -190)*1.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4772.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:37 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 - 33*v**2 - 96*v - 84 = 0. Calculate v.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 5986, 21 in decreasing order.\nAnswer: 5986, 21, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(39\/(-27) + 0). Suppose -4\/3 - 2*a**3 - c*a**2 - 4*a - 1\/3*a**4 = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 0. Suppose h*s = 4*s - 4. Do s and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 - -152.85. Let i = -1012 + 1007.1. Let s = i + z. Are 0 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3 + 3*r - 3*r + r**2 + 2*r. Let j be x(-2). Suppose t - j = 8. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*b - 1186 = b, -4*o - 5*b = -4716. Suppose o = 5*q - 226. Differentiate -l + q + 14*l**4 - 264 + l wrt l.\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2779 + -2748. What is the highest common divisor of f and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36536 is divided by 1497?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41334*q = 41216*q - 3186 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99*r**4*x - r**4 + 13*r**2 - x wrt r?\nAnswer: 2376*r*x - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2082493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1951*i*m*p**2 + 2*i*m*p + 25755*i*m - 9*i*p**2 + 2*i*p - 2*p**2 wrt p.\nAnswer: 3902*i*m - 18*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = 4*h, -b = -4*h + 1 + 13. Let k be 0\/(4\/b + (-3)\/(-9)). Factor 3\/4*c**2 + 0*c + k.\nAnswer: 3*c**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3.352, -52, -0.138 in decreasing order.\nAnswer: 4, -0.138, -3.352, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -5*w + 8*w - 2*o, 8*w - 18*w = 4*o - 118 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - 12\/(-10)) + (-4)\/(-5). Which is the third smallest value? (a) s (b) 3 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/402 and -7\/3618.\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*i - 18. Suppose 0 = -f + s + 7, 2*f - i*f - 3*s - 9 = 0. Suppose 4*w - 42 = f*t, 0 = 3*w - 3*t + 4*t - 44. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*c - 12*c. Suppose -c*d + 4 = b, -4*d - 2*b + 6*b = 16. Solve -2*z = 0, d*z = 2*w - z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-45))\/(((-3)\/(-20))\/((-2)\/(-12))*1)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 752760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**2 + 0*d**5 + 0 + 7*d + 1\/147*d**7 - 1\/105*d**6 + 0*d**4 + 0*d**3. Determine u so that c(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3 + 6*l**2 + 4*l - 4. Let y(k) = -k. Let b(q) = x(q) + 2*y(q). Find the second derivative of b(u) wrt u.\nAnswer: -24*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7566\/(-31428)*(-1)\/13?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (385\/440)\/(1\/(-1))*-8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 11*u + 5. Let s = 385 - 374. Calculate b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012586 to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-91)*(3 + 6 - (-9 - -17)). Let z = -7\/6 + 65\/66. Sort z, b, 3.\nAnswer: z, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -22*q. Suppose -5*s + 25 - 5 = q. Suppose -l = 3*j - 46 - 54, 0 = -j + s. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10054465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abnnnnnbnbbnnbnnbn. What is prob of sequence na?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.52 and 248.\nAnswer: 248.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-13)*15\/1305*-29\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*s - 137*z + 142*z, -253*s + 254*s + z - 9 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k + 28. Let v be j(-4). Suppose -2*b - 3*b = 2*x - 14, -4*x = -b + 16. Put 4, v, x in descending order.\nAnswer: 4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 3*j**5\/5 + j**4\/4 + 18*j + 20. Differentiate o(h) wrt h.\nAnswer: 12*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*q**2*x**3 + 15*i*q**2*x - 4*i*q*x**3 + 6*i*q*x + 3*i*x**2 - 881*q**2*x**3 wrt x.\nAnswer: 6*i*q**2 - 24*i*q - 5286*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 30 = -z, 386*z - 388*z - 70 = -3*v for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49686)\/1131 + 14 + -8 + 38.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-114)\/171)\/(2\/(-6) + 0). Let j(a) = a**2 + a - 2. Let o be j(z). Let p(x) be the first derivative of x**2 - 4*x + 1. Determine p(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-57795.\nAnswer: 28897.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - n - 4*n)*(62 + 35 - 29) + (-3*n + n + 3*n)*(2 - 3 + 4) as v + b*n and give b.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284 or 286?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2101 times -19287\nAnswer: -40521987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 12. Suppose -5*m = -f - 135. Suppose 3*j = 26 + m. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 7*w**2 - 5*w - 10. Suppose -3*m + 8*m + 35 = 0. List the prime factors of t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19521 and 1511311.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -215*j - 825*j - 135*j + 34075 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28676 and 170772.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -5. Let n(h) = 8*h**3 + 7*h**2 - 6*h - 6. Let d(l) = 7*l**3 + 6*l**2 - 5*l - 5. Let z(a) = 6*d(a) - 5*n(a). Let k be z(-1). Are k and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 265754, 265756, 265758, 265760, 265762, 265764?\n\"Answer: 2*f + 265752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**4 + 12*d**3 + d**2 + 6*d - 3. Let f(z) = -2*z**3 - z. Let q(a) = 6*f(a) + t(a). What is the third derivative of q(p) wrt p?\nAnswer: -168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 + 3 + -8 - (58 - -3 - -25).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**8\/280 - l**4\/8 - 3*l**3 + 8. Let n(s) be the third derivative of u(s). Find the first derivative of n(a) wrt a.\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25050 or -25048?\nAnswer: -25048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -7*d**4\/24 + d**3\/6 - d**2. Suppose -6*p - 4 - 2 = 0. What is the units digit of c(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*c - 408, 0*v + 416 = -4*c + 2*v. Suppose 0*b = -5*b - 315. Let r = b - c. What is the remainder when r is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 468 - 286. Let a = 155 + g. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222 and 68820?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:44 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 2*r**2 + r + (-6*r - 3*r + 5*r)*(0*r + 3*r + 0*r) - 1 - r**2 - 15*r**2 + 8*r**2 in the form k*r + h*r**2 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 + 22465*m**2\/4 - 67359*m.\nAnswer: -m*(m - 22453)*(m - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-15))\/(752\/4230*9\/24).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (803\/3212)\/((-4)\/24)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -62 + (0 - -8 - (21 + 4 + -25))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.3? (a) 33 (b) 7 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -20*t - 2. Let q be k(-1). Suppose y = -2*j + 7*j + 26, 4*j = -2*y - q. Let w(l) = -l**2 - 3*l + 5. What is w(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/14)\/(26\/(-91)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(2*z**4 + 46 - 3*z**4 - 36).\nAnswer: 2*z**4 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4 + 52*z**3 + 397*z**2 + 932*z + 708 = 0. Calculate z.\nAnswer: -3, -2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(-1\/13)\/(h\/h**1)**(-37))\/((h*h\/(h\/(h**(-1)*h))*h)**(-21))**8 assuming h is positive.\nAnswer: h**(13103\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145497338*s**3 - 139566961.\nAnswer: -436492014*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*u**5 - 16 + 132*u**5 + 2*u + 11*u**5 - 3 wrt u.\nAnswer: 3180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-20))\/((-2)\/4). Let j be (l - (3 - 0))*-1. Suppose 5*z - a = 2069, a = j*z - 0*z - 1656. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569, 549, 515, 461, 381, 269?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 7. Determine w(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10022200 (base 3) in base 5?\nAnswer: 34141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17416504 and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -2314, -5 in increasing order.\nAnswer: -2314, -15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 838 + -846. Let u(q) = 7*q + 12. Determine u(j).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1868.7.\nAnswer: 186.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6681103 divided by -11.\nAnswer: -607373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -32*x. Let u(r) be the third derivative of 0*r**4 + 0 - 14*r + 1\/30*r**5 - 2*r**2 + 0*r**3. What is l(u(z))?\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121100 + 11112?\nAnswer: 1202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041879294 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -996, -1004, -1034, -1098, -1208, -1376, -1614, -1934?\n\"Answer: -2*g**3 + g**2 + 3*g - 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -368, 0.5, -1, 2\/3.\nAnswer: -368, -1, 0.01, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 182312, 182319, 182328, 182339?\n\"Answer: a**2 + 4*a + 182307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.1. Suppose 0 = 2*r - 0*r + 6. Let f = -8.1 + 8. Which is the closest to -2\/7? (a) z (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -259*w + 170 wrt w?\nAnswer: -259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*a + 10, -a - 5*c = -2*c + 7. List the prime factors of -171*(-8)\/32*(5 + a).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:24 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41547577.\nAnswer: 47, 883991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (10 - 4)*1\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*q**4 + 11026*q**2 + 4305775?\nAnswer: -36*q**3 + 22052*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {k: 3, t: 2, l: 2, q: 11, f: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 24871\/186 and 134 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -32*b**2 - 12*b - 12. Let s(a) = -4 - 5 - 13*a**2 - 5*a + 3 + 1. Let m = 8258 + -8263. Give m*w(t) + 12*s(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.29 in -1\/2, 8443, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.47 + 0.17. Which is the closest to -1? (a) 5\/8 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7164 and 0.219 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*q**2 - 35*q**2 + 77 - 78 - 3*q**3 - 2*q in the form w*q + n + h*q**3 + y*q**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 48. Let d = 38 + r. Let h = 41 - d. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c3da2 (base 16) to base 2.\nAnswer: 10111000011110110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(8\/3))**(-24)*v**0\/v*v\/(v**3\/v) assuming v is positive.\nAnswer: v**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o + 3. Let p be n(0). Let d = 10 - 12. Which is the nearest to 2? (a) -4 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + w + 3. Let v be (-1)\/(-1) - (-1)\/(-1). Let a be c(v). Suppose 3*d = -3*l + l + 1, 0 = -3*l - 4*d + a. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 880316 and 39222?\nAnswer: 7922844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 8*f + 42. Suppose 4*t - 4 = -16, -5*t = 4*i - 17. What is the tens digit of b(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 0*p + 0 - 13*p**2 + p + 1 - 2 + 8*p**2. Let l = 70 + -71. Let o(s) = -s**2. What is l*v(u) + 3*o(u)?\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 293999 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -65. Suppose 3*y + 13 = 4. Put y, n, -2 in descending order.\nAnswer: n, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12994.44*2\nAnswer: -25988.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/96 and -113\/3408.\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -35. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 5*n - 8. Give v(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 2*m + 39. Let j be b(-5). Let p be (-32)\/30*(-6)\/(-8) + j. Suppose 28\/5*o**3 + 12\/5*o**4 - p*o + 0*o**2 + 0 = 0. What is o?\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Suppose u - 14 = -m*i - 4, -6 = 2*u - 5*i. Let b be -1 + (u - (-4)\/2). Solve -b*o + 0*o + 12 = -4*g, 12 = -4*g - 5*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 1456?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101507831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from crcrrcccrr.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6dd42 (base 15) to base 3\nAnswer: -122210221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/((-2)\/(-2224)). Let n(q) = -q**2 - 21*q + 24. Let z be n(-22). Suppose z*g + 2*g - k = 0. List the prime factors of g.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/25292700 and 191\/7587810?\nAnswer: 75878100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -20e?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6993 divided by -11242\nAnswer: 999\/1606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 8 + 50\/(-5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 15*d = 28. Which is the smallest value? (a) 3 (b) d (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*3*(-3)\/(-9). Suppose -5*n - 16 + 1 = -5*h, -4*n = i*h - 24. Let j be 1\/(-1*(-3)\/90). What is the greatest common factor of j and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 3*s**5\/10 - s**2. Let r(q) = 36*q**2 + 9*q**2 + 9*q**2 + 2*q**2 + 3*q**2 - 63*q**2. Calculate r(u(w)).\nAnswer: -1296*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - c**2 + 2. Let p(z) = 9*z**3 + 5*z**2 + 11*z + 12. Let r(h) = -6*i(h) + p(h). Let o(k) = -k**3 - 4*k**2 - 4*k. Give -11*o(s) - 4*r(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0 - 1 - 7 - 1 - k. Let h be z(-11). Solve -3*b - 3*g + 24 = 0, -h*b - 13 = 2*b - 5*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k - 13511 = 272*k - 5223 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 30*a - 560. Calculate x(-28).\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6*t - 2*t + 3)*(-t + 5 - 5)*(2*t - 2*t - 2*t) to the form c*t**2 + u*t**3 + p + i*t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -12. Let v = 21 + g. Suppose -3*n + 3*o = -v, 2*n - 12 = -5*o + 7. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + n - 2. Let v(m) = 1924*m**3 - 9*m**2 - 6*m - 1846. Let o(z) = v(z) + 7*x(z). What is the third derivative of o(a) wrt a?\nAnswer: 11544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 13 + 1, 0 = -2*a - 2*x + 14. Suppose 0 = -5*m + a*m - 2. Let r(c) = 3*c - 1 - 1 + 1. Determine r(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23012 - 24444?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*i + 345*i + 5*n - 24 = 0, -5*i + 36 = 4*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 387*k**2 + k + 24 wrt k?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 8:55 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 + 2 = 0. Let l = p - 8. Let c = 7 + l. Solve c*o - 2*o = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 85*k**2 + 4*k - 4. Suppose z - 2*z + 9 = 4*t, -3*t - 12 = -3*z. Let c be u(t). Calculate the highest common divisor of 34 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*t - 4672 = 0, 9*b - t - 7768 = 4*b. What are the prime factors of b?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64\/5 + (-3)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 4*k - 4*o, -5*k + 255 = -0*o - 2*o. Let x(w) = 21 - 6*w + 39 - 73. What is the remainder when k is divided by x(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/29 + (-7663)\/(-11252).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from {v: 4, c: 3, z: 3, b: 3, m: 6}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = 24*x - 345. Let z = x - -541. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610668 is divided by 1590?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + 3*q)*(0 + 5 - 4) + 694*q - 285*q + 243*q + 188*q.\nAnswer: 841*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/40)\/((-1)\/(-8)))\/(64\/(-320))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.2 - 3. Let h = l - 5.7. Let y = -1.1 + h. What is y rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millisecond in microseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -127, -1, -5 in increasing order.\nAnswer: -127, -5, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*s + 6 = -s, 14 = -4*m + 2*s. Let n(p) = -7*p - 23. Let u be n(m). Solve -2*w + b = -0*b + 2, -5*w + u*b + 5 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 1 = 5*b + 22, 4*v = -3*b - 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 57.1. Put k, -1, -0.1 in decreasing order.\nAnswer: k, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) -0.13 (b) -27 (c) -5\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/120 - 503*o**5\/6 - 817*o**4\/4 - 1378*o**2. Find the second derivative of v(x) wrt x.\nAnswer: -6*x - 10060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70663, -141315, -211913, -282451, -352923, -423323, -493645?\n\"Answer: h**3 + 21*h**2 - 70722*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*g + 530, 4*u - 3*g - 420 = 8*u. Let s be ((-6)\/5)\/(u\/(-30)). Do -1 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*i + 13 = 0, 0*i = -3*u - 2*i. Suppose 4*l + 2756 = 4*a, -689 = -3*a + u*a + 4*l. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6174 and 78.\nAnswer: 80262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 123162 - 4?\nAnswer: 123155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - f - 4 = 0, 5*c - 11 + 31 = -5*f. Solve c = -51*z + 53*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8091178 to the nearest integer?\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67702532*p**2 - 33851269*p**2 - 33851287*p**2.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - 2*sqrt(88)*5)\/(1*sqrt(512)))**2.\nAnswer: 891\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 475433 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5057\/15 - 337. Let p(c) be the first derivative of a*c**3 - 1\/10*c**4 + 2 - 2\/5*c + 1\/5*c**2. Let p(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -10*l + 16. Let h be 4*(-5)\/120*l*-5. Put 1\/2, 3\/7, h in descending order.\nAnswer: h, 1\/2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 564194\nAnswer: -564198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + sqrt(99)*-1)*4)*6*2)\/(sqrt(72)\/(sqrt(40)\/sqrt(5)) + sqrt(36)*1).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + (-133)\/(-21). Solve y + u - 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 672 + -706 + (-3 - -5 - -18)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - u. Let g(q) be the second derivative of q**4\/2 + 2*q**3\/3 + 514*q. Let a(i) = g(i) + 4*t(i). Suppose 4*d - 4 + 0 = 0. What is a(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0206245188 rounded to five dps?\nAnswer: -0.02062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38, 103, 168?\n\"Answer: 65*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 4:21 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15286, -15265, -15212, -15109, -14938, -14681, -14320?\nAnswer: -13837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6660947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**7\/6 + t**4\/6 + 2*t. What is the third derivative of z(n) wrt n?\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**14*q)\/q**6 assuming q is positive.\nAnswer: q**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.44 - -0.04. What is the closest to 24 in n, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 14. Suppose -5*g = 6*l - b*l - 30, -2*g - 14 = -4*l. Let k = 0 + g. Calculate the smallest common multiple of 5 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/1645091 - 16761832167\/26321456. Let p = y + 637. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/8)\/s)\/s)**(1\/64) assuming s is positive.\nAnswer: s**(-7\/512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*s*v**2 - 5*b**3*s - 4*b**3*v**3 - 2*b**2*s*v + 7*b**2*s - b*v**3 wrt b.\nAnswer: 6*s*v**2 - 30*s - 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:35 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 26773220\nAnswer: -1\/26773220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k**2 - 2*k + 14. Let q(b) = -b**2 - b. Let g(l) = c(l) + 6*q(l). Calculate the remainder when g(6) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7434714.286 and 3.4.\nAnswer: -7434710.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r**4 - 25*r**2 - 5*r - 4 - 2*r - 21*r**4 + 10*r + 2 as d*r + w*r**3 + c + h*r**2 + a*r**4 and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.157 - -2.097. Let n = o - 0.22. What is n rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6 and 91\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75.9999425 - -76. Round j to six dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 234*y - 35. Let l(u) = u**2 - 156*u - 25. Let n(b) = 7*l(b) - 5*q(b). Factor n(w).\nAnswer: -3*w*(w - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44616079 equal to 44616114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897846782.\nAnswer: 2, 7, 41, 1087, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 7*z - 90 = 0, 25*z + 33*z = 5*u + 81*z - 25*z + 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**9\/840 - z**8\/1400 - z**7\/420 - z**6\/900 + 2*z**3\/3 + 3. Let m(a) be the third derivative of s(a). Factor m(l).\nAnswer: 2*l**2*(l - 1)*(3*l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4709322, -9418646, -14127970, -18837294, -23546618?\n\"Answer: -4709324*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0 + 10. Let u(a) = a**2 + 4*a - 1. Let q be u(i). Solve 4*k = q*z + 16, 4*k + 5*z = 5 + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -170.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7))**(-2\/19)\/(y**(-4\/5)*y*y**1)*(y*y\/(y*y\/y**(2\/3))*y*y**(1\/5))**(1\/65) assuming y is positive.\nAnswer: y**(-155786\/129675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*p + 2*w + 3*w, -2*p - 3*w + 48 = 0. Suppose -p + 31 = 5*t. Suppose -q = 5*i - 10177 - 18322, -t*i - q = -11399. Round i to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3982508 divided by 64234.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85979330 - 1719244903\/20. Let p = 17081 - q. Calculate the common denominator of p and 57\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 t, and 1 y when four letters picked without replacement from {t: 3, y: 1, q: 1}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**2 - 98*d**2 + 177*d**2 + 102*d**2 in the form l*d + a + n*d**2 and give n.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 5*d + 35, 3*a - 14*d = -12*d + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 38. Suppose -2*t = 4*q - o - 15, 60 = 5*t + 5*q. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -173 and 0.56.\nAnswer: -172.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3367945?\nAnswer: 5, 7, 41, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -103*y - 9. Let m be n(-3). What is the highest common factor of m and 375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 390\/11?\nAnswer: 390\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 9, e: 5}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*n - 6 - 4, j = 2*n + 5. Let z = -2\/25 + -11\/175. Does n = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 less than 0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -57669, 0.3, -4\/7, 0.5, 2\/13, -5, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (124 + 1135 - 119 + 507)*(-2*s + 2*s**2 + 2*s) as a*s**2 + p*s + i and give a.\nAnswer: 3294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -8, 0, -27, -84 in descending order.\nAnswer: 4, 3, 0, -8, -27, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 4*o, -3*o - 4*a + 0*a + 12 = 0. Suppose o*q = q - 53. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 80, 124, 198, 302, 436, 600, 794?\n\"Answer: 15*h**2 - h + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 101.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 1 + 5)*(2*s - s + 0*s) + 1 + 8*s + 11*s + 0.\nAnswer: 37*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/2240 and -43\/1120.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 d, and 1 m when three letters picked without replacement from {d: 2, a: 13, y: 2, m: 2}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3907316 to the power of 1\/2, to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + 6. Let t = 36 - d. Put 2\/5, t, -5, 1 in descending order.\nAnswer: t, 1, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 61*v + 247. Sort -0.04, 29\/5, v.\nAnswer: v, -0.04, 29\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 - 156.95. Let p = -0.05 + u. What is the closest to 1\/3 in -0.1, 5\/6, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*q**2 - 288*q**2 - 4 + 4 - 291*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2\/11, 0.4, -0.1 in decreasing order.\nAnswer: 0.4, 2\/11, -0.1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 60. Suppose 24 = w*b - 0. Solve -2*m = 2*q - 8, -3*m = q - 0*q - b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*b + 25*b + 20. Sort -18, b, -3.\nAnswer: -18, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 9*f**2 + 7*f + 10. Let o be m(8). Suppose 0 = -o*q - 0*q + 8. Suppose g - 3*t - 4 = 0, -5*g + 2*t - q = -24. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1736441\/173 + -10037. Let i = -9569\/1730 + l. Find the common denominator of i and -24\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 44 = -4*q + 2*i, -52 = -2*q - 5*i. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-3\/10)*a**(3\/5)\/(a\/a**3))\/(a**5*a*a*a\/(a\/(a\/(a*(a\/(a**(-7)*a)*a)\/a)))*a)**(-3\/16) assuming a is positive.\nAnswer: a**(199\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*d**2 - 2*d - 274*d**2 + 6 + 92*d**2 + 7 + d**4 + 92*d**2 in the form r*d + h*d**4 + k*d**3 + i + f*d**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*2 + (6 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 42\/5897?\nAnswer: 42\/5897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3*(-2)\/(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/2*12\/8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 7:19 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = -0*v. Suppose 3*n = -3*n + 42. Let m(w) = -w**3 + 11*w**2 - 3*w - n*w**2 + w**2 + 2. Calculate m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 163?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -411058 - -411560.5026. Let l = -503 + q. Let x = l + 0.5. Round x to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 374, 682, 976, 1256, 1522, 1774, 2012?\n\"Answer: -7*i**2 + 329*i + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/6 - (-100)\/150)*-2 - -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 14172639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**5\/5 + 197*g**4\/5 + 2942*g**3\/5 + 2546*g**2\/5 - 2941*g\/5 - 2743\/5 = 0?\nAnswer: -13, -1, 1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 - 21*g - 20. Let x be p(5). Suppose -15*r - 17*r + 128 = x. Solve -9 - 5 = -3*y - r*i, 2*i = 2*y + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (13 - (3 + -10418)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, j: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5394 - 2444359?\nAnswer: -2449753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from {l: 2, u: 3, b: 3, t: 1, q: 1, i: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313 + -220. Calculate the highest common divisor of a and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 413 - 191. Let w = 223.43 - u. Let h = 1.430000615 - w. What is h rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55469959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 + 57*a + 20358 = 0 for a.\nAnswer: -117, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 4*j - 3. Let a be -8 - -8 - 4 - (-1 + -7). Suppose 0 = -10*q + a + 26. Calculate c(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 6:43 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/4*24\/(-240)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -218\/16253 (b) -0.3 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b*b*b**(1\/3))**46 assuming b is positive.\nAnswer: b**(322\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h. Let u(v) be the first derivative of -v**5\/120 - 2*v**3\/3 + 2. Let a(t) be the third derivative of u(t). What is a(w(d))?\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27297902?\nAnswer: 2, 89, 153359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -795, -1606, -2435, -3288, -4171, -5090?\nAnswer: -6051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 75995127*q**2 + 481271800633272*q - 2406357103288560.\nAnswer: 3*(q - 12665852)**2*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 1. Let b(r) = -6*r - 5. Let g(m) = 2*b(m) + 11*d(m). Determine g(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - m = -7, -4*l + 114*m = 112*m - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 151620713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 38*q + 3144. Let f be h(74). Which is the fourth smallest value? (a) 5\/4 (b) 0.5 (c) f (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -481 - -380?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105.417 - -13.5.\nAnswer: 118.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttettetetttgtteet. What is prob of sequence ette?\nAnswer: 55\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*o + 28, -5*q = 2*o - 1372. What is the remainder when q is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 14076871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255*l - 35*l + 71*l + 89*l to the form c + y*l and give y.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*a = -153*a + 105 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 10437*n\/4 + 6156533.\nAnswer: (n - 6833)*(n - 3604)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 124872.4 less than 0.1483?\nAnswer: -124872.2517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + -14*5\/(-10). Suppose 2 = p*u + 2*s - 4*s, 4*u - s = 1. Solve u*l = l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1834775 rounded to 3 dps?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.179 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, o: 3, u: 1, j: 2, l: 10}. Give prob of sequence ljmu.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 305*g + 181. Give n(-1).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnyrppprppyr. Give prob of picking 1 r and 1 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(78) - ((sqrt(78) - 3*sqrt(78))*-2 + sqrt(78) + sqrt(78)))\/((3*sqrt(42))\/sqrt(7)) + -2)**2 + 4.\nAnswer: -686\/9 - 40*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 4*s - 64 = 0, 28*r - 78*r = -46*r + 3*s - 62 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1503, 968, 433, -102, -637, -1172?\nAnswer: -1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, g: 2, u: 3}. Give prob of picking 2 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1339011 at least -1339011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*f, -4*a + f = -4*f - 29 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 12, 362 = z + 3*m + 102. Calculate the remainder when z is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 4*k - 1, 2*g = 2*k + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045763 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1968 in 5, -117, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmmmmmmmmmmmmkmmk?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140485?\nAnswer: 5, 28097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 1) + (4 - 15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220220 (base 4) to base 9.\nAnswer: 3508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1246 + 3737\/3. Let x = 1.4 - 0.4. Let j = -0.1 - -0.1. What is the smallest value in i, x, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 67 = -11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -18*m - 2. Let v(f) = 3*f**2 + 20. What is z(v(g))?\nAnswer: -54*g**2 - 362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(-4*c + 1 - 1) + (-c + 3*c + 6*c)*(0 + 2 - 5 + 0 + 1 + 1 + (-3 + 0 + 0)*(3 - 1 - 1)).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*p = -342*p - 88 - 330. Solve 29*y - 10 = p*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:58 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 z when four letters picked without replacement from vxzvtxvvtvxzxvvtxvv.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6079772 or 6079758?\nAnswer: 6079758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-26*d**2 + 122*d**2 - 38 + 40).\nAnswer: -192*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.017 + 83.117. Let d = 83 - x. Suppose 0 = -4*y - 18 - 6. What is the nearest to d in y, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3756\/9 - 1\/3. Let o = -38 + v. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**9\/56 - 2*c**5\/15 - 13*c**2. What is the third derivative of p(z) wrt z?\nAnswer: -1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25490 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*(-690)\/138?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8209.\nAnswer: 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3617565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(3\/14)\/(g**(-1))**1)\/((g\/((g\/(g**(-6)*g))\/g))\/(g**(4\/9)*g)*g\/g**(1\/5)*(((g\/g**(-1\/4))\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(9587\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(98) - sqrt(98)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/18)\/(30\/60)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 7. Let t = w + 7. Suppose -4*p - 2 = 2*m - 4, t*p = -4*m + 12. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10745*l + 5446*l + 5300*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9219701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/(1\/24). Does 6 divide h\/(-3)*(-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 725 + -710. Solve 4*q = -7*r + 4*r - k, r + 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(-8*(-2)\/96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*y - 99*y + 1140457 + 660999 = 0. Calculate the highest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-3)\/(-12)) + (-21180)\/(-8472). Factor 1\/4*a + j*a**2 - 15\/2.\nAnswer: (a - 5)*(a + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/6)\/(3\/(-27)). Let h(z) = 2*z**2 + 5*z - 3. Let r(m) = -m**2. Let d(i) = -h(i) - 4*r(i). Determine d(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + 0)\/(-14)*(0 + 2). Suppose 0*j + i = -5*f + j, -5*j = 20. Which is greater: f or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 5*a + 4. Let f(x) = x**2 - x - 1. Let l(i) = 3*f(i) - s(i). Let b(o) = -o - 3. What is the remainder when l(-5) is divided by b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u - 543. What is i(98)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*r**3 - 106*r**3 + 24*r**2 - 81*r**3 - 83*r**3 - 24*r**2.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*z**2 - 17*z**2 + 32*z**2 + 32*z**4 wrt z?\nAnswer: 768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + 4. Suppose u - 4*u = -f. What is the third derivative of 5*q**5 + 22*q**2 + 0*q**2 - u*q**2 wrt q?\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 139027*r + 1 - 10656*r.\nAnswer: -149683*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 767157101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((57 - (55 - 29)) + (0 - (2 - 3))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2747 + -1426742?\nAnswer: -1431711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v\/(v\/(v\/v**(-3\/8))))\/(v\/(v\/((v\/v**(-1)*v*v)\/v))*v*(v**9\/v)\/v) assuming v is positive.\nAnswer: v**(-133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.8. Let l = q + 1.6. Let u = -9.55 - 0.45. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 - 2*g + 5*g + 6*g. Let x(i) = -i**2 + i. Let k(o) = -w(o) - 3*x(o). Factor k(f).\nAnswer: -3*f*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 - 67. Let p be 48 + -47 - (n\/2 - 2). Solve l - p = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o**3 + o**3 + 5*o**3 + 9*o - o**3 - 5*o**2 - 9. What is the tens digit of t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1144 - -2742. What are the prime factors of m?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1871055520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1340610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*o - 122, -3*o = 3*r + r - 171. Calculate the highest common divisor of 70 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/7 - 2*n**3\/7 + 6*n**2\/7 + 2*n\/7 - 4\/7 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o**2 + o - 5. Let d be z(4). Let x = 3082.2 - 3084. Which is the closest to d? (a) x (b) -2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 354*c - 572. What is the smallest common multiple of b(2) and 792?\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times -17?\nAnswer: -35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 43 - 266. What is the remainder when f is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*v**2 + v - 5*v**3 + 41852 - 83707 + 41853 - v**4 to the form x + a*v + h*v**3 + o*v**2 + g*v**4 and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -9, 0.5, 4, -24\/19?\nAnswer: -24\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 18*c**2 + c + 18. Let z be g(-18). Let d be -1 - (4 + -7 - z). Suppose 6*q + 2*r - 7669 = q, -4*r + 3058 = d*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1703\/198, -120, 4 in descending order.\nAnswer: 1703\/198, 4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189 divided by -63.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/7*2*4\/(-12).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 10:07 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 5:12 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 80*f**2 - 255*f - 180.\nAnswer: -5*(f + 1)*(f + 3)*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -240.55.\nAnswer: 96.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**29)\/x**(3\/8))**29 assuming x is positive.\nAnswer: x**(-6583\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 950*v**2 + 56*v - 110. What is the tens digit of m(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 18, 16, 8, -6, -26, -52?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msamxaasjsds. What is prob of sequence mj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, g: 5}. What is prob of picking 1 x and 3 g?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/(10\/15). Let j = s + 4. Suppose -6*c**j + c**4 + 2*c**4 + 5*c**2 - 2*c**2 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from llglugllllffflfl?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 - -232653?\nAnswer: 232732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:08 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*b + b = 14140, 0 = 3*k - 2*b + 21203. Is k\/((-3 + 6)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1948208, -7792817, -17533832, -31171253, -48705080?\nAnswer: -70135313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3 - 0. Let x(l) be the first derivative of l - 48917. Let c(j) be the second derivative of j**3\/3 - 5*j**2\/2 - j. Determine q*c(a) + 6*x(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/8 + 241\/72. Let o(a) = -a**2 + 6*a - 6. Let u be o(1). What is the nearest to 2\/3 in u, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 340434287?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 - 7*w**3\/6 + 3*w**2 + 4*w. Let a be f(7). What is the units digit of -85*(-4)\/40*a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 + 114. What is the second smallest value in w, -0.7, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + n + n = 24, 0 = -j - 4*n + 3. Let g = -36 - -43. Sort -4, j, g.\nAnswer: j, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110619511*d**3*o + 2*d**3*p**2 - 2*d**2*o*p**2 + 49*d**2*p**2 + 63386*d*o*p**2 + 12*d*o wrt d?\nAnswer: 663717066*o + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5216101 (base 8) to base 11.\nAnswer: -865488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3014024955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 5*u + 5. Let i be q(-5). Let m(l) = 6*l - 8. Let c be m(4). Let v = c + i. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-6)\/8) + 4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*u + 14 = -5*a, -4*u - 17 = 5*a. Let d(g) be the first derivative of 11*g**3\/3 - g + 1. What is d(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/5, 238, -123, -155 in descending order.\nAnswer: 238, 2\/5, 0, -123, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8e69 (base 15) in base 7?\nAnswer: -154122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.34 - 6.01. Let t = 4.77 + z. What is the third smallest value in t, -0.125, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i - 6 + 6 - 8*i**4 wrt i.\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 24. Let m = u - 8. Calculate the remainder when (-3)\/m*14 - -1 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r + 550. What is c(43)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1500 or -1502?\nAnswer: -1500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*r + 344, u - 3*r + 29 = 90. What is the lowest common multiple of ((-8)\/(-20))\/(2\/u) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6498 - 0.3502. What is the nearest to -1\/6 in x, -0.5, -48?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.4646 - 6.4. What is d rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6) - (306\/27 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ududppupppupupupuu. What is prob of picking 3 u?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316411 is divided by 14364?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 24647620611 to the nearest one hundred thousand.\nAnswer: 24647600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(4\/21)*n)*n*n**17*(n\/(n\/n**(2\/29)))**(-29\/3) assuming n is positive.\nAnswer: n**(347\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 5*z - 10. Let n be p(7). Let v = n + -5. Let r be v\/(-1) - (4 + -4). Let q(j) = -9*j**3 - j**2. Calculate q(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4623, 9345, 14087, 18855, 23655, 28493?\nAnswer: 33375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c**2 - 19*c - 147. Let m be x(-8). Calculate the greatest common factor of 35 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.63 and -739?\nAnswer: 738.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 45. Suppose -5*c + z + 113 = 0, 2*z + w = -4*c + 115. Let i(j) = -1 + 5 + 23*j - 1 - c*j. What is i(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9 = 5*y, -y - 4*h + 6*h + 9 = 0. What is the smallest value in -3\/8, -2\/13, y, -0.01?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 100 = -2*i, -5*i + 3*p = -3*i - 93. What is the common denominator of 56\/11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(63) + sqrt(7))**2 - ((sqrt(21)\/sqrt(3))**2 + 3).\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 60 = 20*h. Let s be (1156\/(-8))\/((-1)\/h). Suppose s = -20*o + 26*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*x - 5*x - 2*x)*(-1 + 2 - 3) + 2*x - 3*x + 0*x + (-3 + 0 + 8)*(-5*x + 3*x + x))*(18*x + 4*x - 5*x)*(3*x - 4*x + 2*x).\nAnswer: -68*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0157 and 1651912645?\nAnswer: 1651912645.0157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2)*(-10 + (-2 - -2 - -10)). Solve 2*t - 4*k = a, 3*t + 5*k + 5 = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050258884 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -0.2 (c) 0.038 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0) + (3 - 5). Let d = 1 + 1. Which is the closest to 0? (a) d (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002479 rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -4\/3*f**4 + 4\/5*f**5 + 0*f + 0*f**3 - f**2 - 3\/20*f**6 + 1\/105*f**7 + 0. Factor v(b).\nAnswer: 2*b*(b - 4)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69391.58ml?\nAnswer: 69.39158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b - -46?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 4220748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*k - 894 = -2061 - 1322. Solve 0 = -f - k*f - 100 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.4 (c) 0.5 (d) -0.3 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024891547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n - 128 + 645 = -66*n. Let i(s) = -7*s + 1. Let z(p) = -36*p + 4. Determine n*i(a) + 2*z(a).\nAnswer: 5*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*g - 136. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4800*-35612\nAnswer: 170937600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Suppose h*q - q + 20 = 0. What is the common denominator of (-2)\/q - (-227)\/(-30) and -45\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*r = 7502, 16*t + 5*r - 29991 = 12*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -62302365134.\nAnswer: -62302365139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 - m**2)*(0*m - m**2 + 0*m) + 10*m**4 + 8*m**4 - 20*m**4.\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 23*w**2. Let k(j) = -51*j - 5. Let z(r) = -10*r - 1. Let b(m) = -k(m) + 5*z(m). What is y(b(u))?\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0 = -15. Let z = 8 - p. What is the second derivative of -3*b**z - 26*b**2 + 26*b**2 + 12*b wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.16999807 + 0.17. Round a to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/2 of a meter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:16 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-17) - (-130)\/1105. Solve 0 = -3*s - o - i*o - 10, 11 = -4*s + o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 6:50 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p + 3*g + 36, 3*p - 5*g = -4. Let k = -6 - p. Solve -14 = d - 4*r, 6*d - 3*d - r = k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 510726153 and 1461?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2. Let n be ((-3)\/(-3))\/((-1)\/(-3)). Suppose -4*r = 5*t - n*t - 2, 9 = -2*r + t. Calculate y(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6127b (base 13) in base 4?\nAnswer: 222132303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*996297\nAnswer: 298889.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 611791\/240 + -7652\/3. Calculate the common denominator of ((-55)\/60 + 1)*(-522)\/45 and b.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3454308?\nAnswer: 2, 3, 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5 - 243*p**4\/2 - 32093*p**3\/6 + 119563*p**2\/6 - 54221*p\/6 - 5423 = 0. Calculate p.\nAnswer: -29, -1\/3, 1, 17\/6, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 7*g**2 + 0*g - 1\/40*g**4 + 0 - 1\/300*g**5 - 1\/15*g**3. Suppose i(x) = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -11, -18, -11, 16, 69, 154?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 23\/(2 - (-36)\/(-16)). Let o = v + 305. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**6\/45 + t**5\/5 + 5*t**4\/6 + 8*t**3\/9 + 109*t + 16. Factor a(g).\nAnswer: -2*g*(g - 8)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 2256.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74093 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 + 124. Suppose 4*f + n - 15 = 0, 2*f - g*n = 15 - 24. Solve -f + 6 = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:11 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 829*d. Let f(n) = 848*n - 1. Calculate -4*f(u) + 3*t(u).\nAnswer: -905*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 267.2 and -7.\nAnswer: -1870.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.584739ug to tonnes.\nAnswer: 0.000000000004584739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-12) - 1 - (16 - 104\/8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -296 * 0.3.\nAnswer: -88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h, -5*h = 6*q - 2*q + 48. Let a be (q\/(-30))\/((-1)\/115). Is -2 + a\/(-2) + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 68 = l, 0*m + 5*m - 5*l = 80. Let a = 13 - m. Is a at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 7*q**2 + 3*q + 2. Calculate l(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5 = -8*c + l, -2*c - 21 = -5*l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 times -657?\nAnswer: 4993.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 74*u**5 + 366*u**4 + 572*u**3 + 264*u**2 - 16*u = 0. What is u?\nAnswer: -2, -1, 0, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c - 2*c)*(-3*c - c + 3*c) - 2*c**2 - 2*c + 2*c + (-7*c + 7 - 7)*(2*c + 0*c - 3*c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120003101130 + 123?\nAnswer: 120003101313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1051.8 to the nearest ten.\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 66. Determine z(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*c**3 - 58*c**3 + 3*c - c - 3*c**2 - 2*c + 5*c - 7 wrt c?\nAnswer: -66*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*j + 3*j. What is the tens digit of 1*j*72\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = 5*t, 0 = 2*q - 5*t + 2. Solve 5*x = q*x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 243217882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*l - 77, -3*w - 95 = -4*l - 4*w. Suppose z = -4*a + 31 - 0, -3*z + l = -2*a. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41478 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.96 - 0.04. Let y = -1.1 - -0.1. Let t = y - -5. Which is the closest to -1\/2? (a) 1 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 5*h**2 - 15*h + 12. Let r be o(7). Suppose 2*c + 84 = 6*c + m, -r*c + 116 = 4*m. What is the greatest common divisor of 30 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.649174 millennia?\nAnswer: 64.9174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 135 and 32.69812.\nAnswer: 167.69812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 34*p**2 + 1 + 46*p**2)*(-10 + 2 - 3).\nAnswer: -132*p**2 - 231","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1621\/20584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 1:04 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2146811437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/4)\/((-2)\/(-12)). Let h = -22696\/1085 + -57\/155. Let i = a + h. Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -127, -98, -69, -40, -11, 18?\n\"Answer: 29*x - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32622?\nAnswer: 2, 3, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6303, -6304, -6299, -6282, -6247, -6188, -6099?\n\"Answer: c**3 - 3*c**2 + c - 6302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4325?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11607 by 3.\nAnswer: -3869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 2. Let v be r(4). Let j be (-40)\/15*6\/(-4). Suppose -j*l - 4 = -m, -v*l = 3*l. Solve 6 + 10 = m*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -46\/39, -3\/152?\nAnswer: -3\/152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/18*(-6)\/(-25). Let l be ((-2)\/(-34))\/((-2)\/(-24)). Let j = l - 14\/17. Which is the nearest to -0.1? (a) j (b) 3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0 + 0*q**2 + 8*q**3 + 0 + q**2. List the prime factors of j(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2907 and 1377.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p. Let w(d) = -d - 6*d + 3*d + 0*d + 5. Let f(m) = -5*m + 6. Let r(u) = 5*f(u) - 6*w(u). Give r(s(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(110\/8)*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 2*g + m, -4*g + 535 = g - 5*m. Let o = g + -58. What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4\/4 - 8303157*l**3\/2 - 22980805388883*l**2\/4 = 0 for l.\nAnswer: -2767719, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6848941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(99)\/sqrt(44))\/sqrt(3).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-1 + -4) - -60. Let k = g + -62. Let n be 3 + 27 - (1 + k - -1). What is the greatest common divisor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = 120. Let r = w + 42. Suppose 23 = 3*t - r*x, -4*x - 23 = -7. Solve 3 = -2*j + t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((12\/9)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 13 - 13)*(-3*w + 3*w + 3*w)*(1 + 1 - 3).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*t**2 + 8*t**6 + 2*t**2 + 0*t**6 wrt t.\nAnswer: 960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35273 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5045\/44 + 1275\/11. Put -55, 1\/2, l, 26 in ascending order.\nAnswer: -55, 1\/2, l, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 274*k - 18769.\nAnswer: -(k - 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23695841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5635 and 207.\nAnswer: 50715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*q + 416. Let b be (-100)\/(-3) - q\/(-39). Let s = 11 + b. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -260759 - -538044. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*b + 20, -35 + 45 = i - 3*b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.781 + -0.581. Let s = -5.2 + 5. Which is the nearest to s? (a) 5\/2 (b) -0.07 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1233 - -1325. Calculate the remainder when 1931 is divided by z.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5757749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 226*r**2 + 224*r - 273. What is h(-225)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 826427.1 nanograms in tonnes?\nAnswer: 0.0000000008264271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 103010101 (base 4) to base 3\nAnswer: 10222010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -7*z**3\/2 - z**2\/2 + 1022*z. What is v(1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agb when three letters picked without replacement from {g: 6, b: 4, a: 4, r: 1, l: 2}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**4\/6 + 49*l**3\/6 + 12*l**2 - 29. Let z(d) be the second derivative of t(d). What are the prime factors of z(7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6 = 3*o - 239, -2*l - 5*o + 127 = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2. Let g(d) = -28*d - 138. Let n be g(-5). Let q(p) = 76*p**2 - 133*p**2 + 74*p**n. Calculate q(v(b)).\nAnswer: 612*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3281560 * 0.07\nAnswer: 229709.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5244 is divided by 348.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 291 + -383. Let m = 106 + r. What is the third smallest value in -0.1, m, 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 2207544?\nAnswer: 5\/1103772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 1552 (c) -2\/21 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2802 is divided by 71?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5499 + 1599. Round r to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 120, -4 in decreasing order.\nAnswer: 120, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 14*c**5\/5 - 206*c**4\/5 + 94*c**3\/5 + 3278*c**2\/5 - 5628*c\/5 - 1872\/5 = 0?\nAnswer: -4, -2\/7, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-81)\/(-2)*(-8)\/12. Does 29 divide 1\/(-4)*(l - 1225)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 114858 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrrr when four letters picked without replacement from {r: 5, m: 8}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*z - 4, 0*z = -3*z + 2*g + 6. Suppose 0*h - z*h = 2*x - 30, h + 4*x = 6. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55, 243, 1081, 2729, 5457?\n\"Answer: 45*k**3 - 17*k - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - 3*o)*(-1 - 2 + 4 + (-4 + 4 - 3)*(-6 + 0 + 4) + 1 - 3 + 1).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2. Let x(h) = 621*h**2 + 81*h + 81. Let n(g) = 31*g**2 + 4*g + 4. Let b(o) = -81*n(o) + 4*x(o). Determine d(b(y)).\nAnswer: 1458*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38739 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12208 is divided by 165.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032998 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 6\/(-3 + 2). Let v be 2 - (l + 1) - -2. Factor 2\/5*f**2 + 1\/5*f + 1\/5*f**3 + v.\nAnswer: f*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)\/w*w*w**14*w*w**(-13)*w\/w**(-5))**(2\/25) assuming w is positive.\nAnswer: w**(-8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-78 + -4761)*(-1)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 194*l - 1962. What are the prime factors of i(54)?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 16880665363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 10:14 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.3 + 24. What is the closest to 2\/3 in 3, 35, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4))**(1\/31)\/(v**(1\/4)\/v*v*v**1*v*v*v) assuming v is positive.\nAnswer: v**(-132\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*x - 25, 2*x = -2*m - 1 + 11. Suppose -n + 4*a + 0 + 1 = 0, x*a = -2*n + 41. Put n, 3, 2 in descending order.\nAnswer: n, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/91)\/((-58)\/(-6496))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*l + 423, -5*l = 3*j - 694 + 3. Let g = l + -65. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 600, 2014, 4776, 9336, 16144, 25650, 38304?\nAnswer: 54556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2675\/33762 - -10\/331. Let r = -2\/44879 + 5699669\/807822. Calculate the common denominator of a and r.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c**2. Let u(b) be the first derivative of 2*b**3\/3 - 3. Determine u(v(q)).\nAnswer: 338*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4\/3 - 130*c**3\/3 - 804*c**2 - 3240*c - 3600 = 0.\nAnswer: -30, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1. Let m(w) = w**2 - 1. Let z(v) = f(v) + m(v). Let h(x) = 8*x**2 + 3*x. Calculate z(h(b)).\nAnswer: 64*b**4 + 48*b**3 + 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51286624.\nAnswer: 2, 19, 67, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21829 is divided by 106.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 + 77142*a + 495907347 = 0. What is a?\nAnswer: -12857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2213.769869 to the nearest integer.\nAnswer: -2214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -14 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/(h*h**5*h))\/(h\/(h**(2\/55)\/h)*h*h*h*(h**16*h)\/h))**(-1\/6) assuming h is positive.\nAnswer: h**(604\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**3 - 2*c**2 - 2*c + 2. Let g be r(2). Suppose g - 15 = -j. What is the second biggest value in 1, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*c + c, -2*c = -3*s + 5. Let z = 1 + s. Suppose -5*g**z + 3*g**2 + g**2 + 2*g**2 = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60821693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 + 34 + 3. What is the greatest common factor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 227*l + 227*l - 440*l + (1 - 3 - 1)*(l + l + 0*l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 36198326600 to the nearest one million.\nAnswer: 36198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 5. Let c = -9 - n. Let y = -4.00003 - c. What is y rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/2*3\/(-48). Let p(l) = l**2 + 5*l + 6. Let y = 4 - 8. Let u be p(y). What is the smallest value in z, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4126265489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 - 1\/((-20)\/4612). Let n be (-1)\/((-18)\/(-45) - 102\/r). Solve 3*k = 2*k + 5*f + n, -25 = 5*k + 3*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1291\/1209 + 85\/93. Which is the third biggest value? (a) -5 (b) j (c) 4 (d) -0.6 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.6 not equal to 1051\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5853.549 + -5856. What is z rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*1*-6 - ((sqrt(320) - (1 + sqrt(320)) - sqrt(320))**2 + -4).\nAnswer: -317 - 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13, 17, 21?\n\"Answer: 4*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 2:36 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -67, -158, -249, -340?\n\"Answer: -91*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddd. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0\/(k*k\/k**(-1\/4)*k))\/(k**(-4\/3)\/(k**8*k*k)))**(-22\/7) assuming k is positive.\nAnswer: k**(-1067\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -27*r**2 - 240. Let m(t) = 2*t. Calculate m(p(a)).\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 195617006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2042 - 4?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*i + b, -8*b + 16 = -i - 6*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175*r**5 - 2*r**4*u**3 - 33*r**2*u + 3*r*u**3 wrt r.\nAnswer: 10500*r**2 - 48*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16389\/7 - -2341. Put 1, 1\/32, -4, k in descending order.\nAnswer: 1, 1\/32, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -156? (a) 2 (b) -6 (c) 2.1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*w + 3 - 3)*(0 + 1 + 0) - 2*w - 2 + 2)*(2 - 3 - 1 + (0 - 4 + 2)*(2 + 1 - 4) + 1 - 5 + 2 + 0 - 3 + 1).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36315 divided by -807?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 4*g**2 - 3*g**2)*(-2*g - 2 + 10*g - 5*g).\nAnswer: -12*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 172590628 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a + 0*a**2 + 2\/3*a**3 + 0. Let b(u) = 5*u + 8*u - 11*u. Calculate f(b(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12378 - -12387. Put -5\/3, 0.3, p, 0.5 in increasing order.\nAnswer: -5\/3, 0.3, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 4064*u\/5 + 56504\/5.\nAnswer: 2*(u + 14)*(u + 2018)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -502.126 * 0.8\nAnswer: -401.7008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 16*j**6\/15 - 57*j**2\/2 + 2*j - 33. Find the first derivative of l(h) wrt h.\nAnswer: 128*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7039 - -7055. Let z(j) = 6*j - 12. Suppose -15 = -5*w + 2*w. Calculate the lowest common multiple of v and z(w).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265299629 to the nearest integer?\nAnswer: 16288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13321.4 - -12008. What is q rounded to the nearest ten?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 26. Let z(w) be the first derivative of 2*w**2 - w - 2. Calculate z(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 140\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2184.07 and 6.28.\nAnswer: -2177.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((9 - 5 - 9) + (-5 - -10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -120472 and -120474 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7818 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 29*y**3 + y**2 + y - 1. Suppose 2 + 1 = 3*t. Suppose -3*k + 7*k = 3*f - 162, 4*f = 4*k + 220. What is the remainder when f is divided by c(t)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19.335 and 19803.88.\nAnswer: 19823.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4065 - 4069. Let d(h) = 2*h**3 + 7*h**2 - 8*h - 16. Give d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1710547?\nAnswer: 37, 83, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -19043002400 to the nearest one million.\nAnswer: -19043000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*m - 5*l - 15, 5*m + 25 = 5*l. Let z(r) = -r - 6. Let y be z(-8). Differentiate -h**3 + m + 4*h**3 - y wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 75*v**4 - 677 + 671 + 2*v**3 - 7*v + 74*v**4 to d*v + y*v**4 + n + m*v**2 + k*v**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -85?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2086273 - 359357383\nAnswer: -357271110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5 - 150*i**4 - 1204*i**3 + 94900*i**2 + 1323798*i + 4530050 = 0. What is i?\nAnswer: -43, -7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -195.77557915 rounded to 2 decimal places?\nAnswer: -195.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251641077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**5)**2)**(-6\/11) assuming s is positive.\nAnswer: s**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124393 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/3))**(3\/8)*(n\/(n*(n\/(n*n**(1\/4)))\/n*n))\/(n*n\/((n*n**(2\/5)*n)\/n)*n*n) assuming n is positive.\nAnswer: n**(-69\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, 28, 5\/6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12553 is divided by 243?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 30745.\nAnswer: 276705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from uuuzusmzzezcuz?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13055 + 13051. Let y be (3\/2)\/((-1)\/6). Let z = 4.92 + 0.08. Which is the biggest value? (a) z (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 4*f**2 - 4*f + 7. Suppose -3*a - n + 1 = -0*a, 5*n = 2*a + 5. Suppose -2*g - 6 = -a*g. Let k be (-1)\/(1*g\/(-15)). What is u(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 6:30 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.27214*6.\nAnswer: -217.63284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**6\/6 - 69*q**4\/2 + 2*q**3\/3 - q**2\/2 - 1333*q - 4908. What is the second derivative of k(o) wrt o?\nAnswer: 20*o**3 - 828*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56.46 * -3\nAnswer: 169.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/((-9)\/27*25).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*t - 11. Suppose 3*f + 17 = 4*k, 2*f + t = -k + 3*k. What is the second derivative of k*o - 4*o**2 + 1 - o**2 - 1 wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3, -2*p - r = -4*r + 3. Let y be (p - 3)\/((-57)\/95). Find the second derivative of 7*i**y - 4 + 4 - 2*i wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.57 + -0.07. Let r = 0.8 + -1. Let f = r + 2.2. Which is the closest to f? (a) m (b) -0.1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 5. What is u(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -q + 15, -m + q + 21 = 3*m. Let v = -79 + 130. Suppose -m*g + 24 = f, 6*f - 3*g = f + v. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 1125197 + 1125197.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*y + 11546 + 414 = 0 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(2*w - 2*w + 8*w**2) + 3 + 3*w**2 - 3.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.2 (b) 1202 (c) 2\/11 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 835 = 5*q + 270. Let c = -64 + q. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13)*6)**2 + 2*(sqrt(13)*5 - sqrt(13)).\nAnswer: 8*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.11. Let f = -0.016 - -0.406. Let i = f + r. Which is the closest to -2? (a) 0.2 (b) -1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -10. Let k(y) = y**2 - 3*y + 4. Let i be k(u). Let g = 9 - 4. Which is the nearest to 0? (a) 2\/5 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/7 - (-306)\/126. Solve r + 4 = -h, 3*r - 1 + 9 = -j*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 1. Let t be h(-1). Suppose -3*z - 1690 = -1699. Suppose -z*g - 8 = -5*w + w, -w + 5 = 0. Solve 3*u = -0*b - b - 7, -5*b - t = g*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 - 19922*l\/9.\nAnswer: 2*l*(l - 9961)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(24\/15 + -2). Let w be (u\/4)\/(4\/(-200)). Is 10\/w - 3051\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -396 + 418. Let z = 11 - 23. Let v = z - -23. Calculate the greatest common factor of v and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 8*u - 72, 2*k - 85*u + 82*u = -32 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a + 30. Determine u(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31882, 31897, 31920, 31951?\nAnswer: 31990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((8 - (3 - 2)) + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -445 - 2*v + 445 as o*v + n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35913 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 53*q + 724. Let c be z(18). What is the greatest common factor of c and 9494?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20889 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10 = -5*d - 6*g, -2*d + 5*g - 25 = 0. Sort 2, 12, 6, d, 4.\nAnswer: d, 2, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194.3506041+0\nAnswer: 194.3506041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 3*a. Let f(n) = -n. Let q(r) = -3*f(r) - w(r). Let z = 0 + 6. Let o(g) = z*g + g - 8*g. Give q(o(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12746295917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 545 + -360. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -188 and 4?\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -47, 0.17, 0.5, 0.19 in decreasing order.\nAnswer: 0.5, 0.19, 0.17, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-3170)\/7608)\/((-15)\/2)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107588 is divided by 503.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 556805+0.3\nAnswer: 556805.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28316215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.40588 kilograms in milligrams?\nAnswer: 29405880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2835 and 1575.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.099033 centimeters in micrometers?\nAnswer: 60990.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + w**2 + w + 1. Let n(r) = 4*r**3 + 2*r**2 + 6*r + 3. What is 5*a(z) - n(z)?\nAnswer: z**3 + 3*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -16. Suppose -28*r - 4*w + 69 = -23*r, 5*r = -5*w + 65. Is r <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1) + 3 + -7. Let k be 15*(2 - w\/(-3)). Suppose -k*p - 35 = -4*a + 30, -2*p = 4*a - 58. Calculate the highest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9)\/sqrt(3)*5 - (-2 + sqrt(3) + -1 + sqrt(3))) + -2 + (3*sqrt(9)\/sqrt(3) - sqrt(192)*-3))*2)**2 + -3.\nAnswer: 240*sqrt(3) + 10801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3188002 is divided by 781.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105622 or -105790?\nAnswer: -105622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 + -b509d?\nAnswer: -b50c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037063 is divided by 443.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 - 19 = 0. Let t be (-102)\/(-27) - w\/18. Suppose 2*y - i = -0*y + 18, t*i + 9 = y. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768 and 3228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 21*x - 31. Let f be t(23). Suppose f*b - 11*b = 92. Round b to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/19 + 344\/19. Let k be 37\/2 - (-16)\/32. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.0539 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/1 - 12\/3. Let l be ((-2)\/(-3))\/(1\/12). Let p be (l\/(-12))\/(1 + w). Which is the nearest to -1? (a) 0.5 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.33 + 0.01. Let s = 0.06 + d. What is the smallest value in s, -1\/7, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 65. Let b = -20 + 79\/4. Sort -0.2, i, b in increasing order.\nAnswer: b, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {l: 1, q: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 15 - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = -3*p + 7, -4*p = a - 4. Suppose -39 = -2*w - p. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -138 (base 11) to base 15.\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 457 = 2*m, -m + 4*m = 5*s + 688. Let g = -225 + m. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iot when three letters picked without replacement from {o: 7, t: 3, i: 2}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**6\/12 + 3*q**5\/10 - 3*q**4\/8 + q**3\/6 + 6. Suppose d(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 20*n**2 - 95*n - 2. Give a(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**2. Let t(j) = 176*j**2. Calculate t(y(z)).\nAnswer: 4400*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-304) + ((-3828)\/304)\/(-11). Let l = 0.9 - 0.5. What is the nearest to -2\/3 in l, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26997.\nAnswer: 3, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + a - 1. Let s(f) = -3*f**2 - 3*f + 3. Calculate p(x) + s(x).\nAnswer: -4*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452 divided by -3.\nAnswer: -452\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5431946552?\nAnswer: 2, 678993319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 29. Let n be (24\/t)\/(4\/6). Suppose 4*l + n*c - 90 = 3*c, 4*l - 4*c - 84 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9488001 and 21261?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16bbb (base 14) to base 4.\nAnswer: -31331301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*o - 3880 - 5*o + 68*o**2 - 208*o**2 + 75*o**2 + 70*o**2 with respect to o.\nAnswer: 10*o - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/45)\/(-2*(-5)\/(-15))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - w + 2*w**2 + (-3*w - w + w)*(2*w + w - 5*w))*(-3 + 0 + 1)*(0 + 8 - 1) to the form p*w + r*w**2 + i and give r.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31905\/1372 + -3\/686. Let b be (-35)\/(-40)*-83 - (-3 + -1). Let q = -1149\/16 - b. What is the common denominator of q and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 1\/((-1)\/2 + 0). Solve 0*c + 4*f + 8 = -4*c, -2*f - 6 = n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -189*i**5 - 10539*i**4 - 47244*i**3 - 69168*i**2 - 31872*i - 2448 = 0.\nAnswer: -51, -2, -2\/3, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 + u**2 - 1. Let c = -1 - 1. Let s = -115 + 116. Let z = s + c. Determine q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**3 - 2*t**2 + 6*t - 2. Let u(z) = 21*z**3 - 9*z**2 + 24*z - 9. Let y(a) = -9*r(a) + 2*u(a). Find the second derivative of y(p) wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -20. Let v(k) = 7*k**2 + 11*k + 7. Let i(w) = -4*w**2 - 6*w - 4. Suppose 71 = -5*u - 0*p + 4*p, -u = 2*p + 3. What is q*v(x) + u*i(x)?\nAnswer: 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3354 - -12699. Is n a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**6\/165 - z**5\/55 - z**4\/66 - 6*z. Factor w(f).\nAnswer: -2*f**2*(f + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*d + 3*s, 3*d - 15 = -4*s - 0*s. Let x be (-3)\/(-1) + (70\/(-21) - d). Is x at most as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.7799527 rounded to three dps?\nAnswer: -43.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-28) + 786\/(-8). Let y = o - -165. What are the prime factors of y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -16*f. Let h(l) be the first derivative of -l**2\/2 + 1. Let g(u) = u**3 + 54*u**2 + 165*u + 508. Let n be g(-51). Give n*h(o) + 6*k(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2243 - 2222. What is the smallest value in r, 1\/3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137011 is divided by 699.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*f + 98*f - 258 = 0. Which is smaller: 257 or f?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106152 (base 11) in base 7?\nAnswer: -1303224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -716029440409\/28265659212 - -17\/79175516. Let t = d - 1\/833. Find the common denominator of t and ((-40)\/108)\/(-5) - (-29564)\/2565.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iztk when four letters picked without replacement from {t: 2, i: 1, z: 1, k: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*x = -162*x + 45*x - 101*x + 12513 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 110*w**2 - 115*w + 5.\nAnswer: 5*(w - 1)*(22*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*c - c = -n + 3*c + 83 - 59, -32 = 4*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**3 + 18*p**2 + 204*p - 1069. Determine v(9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(100)\/sqrt(5))**2 - (4*(3 + sqrt(15)\/sqrt(3)))**2.\nAnswer: -96*sqrt(5) - 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 3*o + 32, -o + 4 + 2 = 2*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1691*j**2 + 70*j + 143. Is i(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 80*t**2 + 11*t + 6. Let a(b) = -178*b**2 - 22*b - 12. Let q(u) = -4*a(u) - 9*r(u). Let z(k) = -9*k**2 - 10*k - 7. Calculate 7*q(h) - 6*z(h).\nAnswer: -2*h**2 - 17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4126 - 7987 - 8346 + 2225 - 5023)*(5*o**2 - 2*o**2 - 2*o**2).\nAnswer: -23257*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 613097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 >= 277\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -22772\/13 bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -11 + (11 - -6) - -1*503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825385.8ug in tonnes?\nAnswer: 0.0000008253858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.2898423 rounded to 2 dps?\nAnswer: 55.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 5*a - 2. Let q be n(-6). Suppose -76*z - 360 + 588 = 0. Put z, -10, -4, q in decreasing order.\nAnswer: q, z, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5)*j*j)**(-2\/19))**(-15\/7)\/(j**(-3)*j**7\/j*j**3*j**(-1)) assuming j is positive.\nAnswer: j**(-593\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 + -5 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 7*y**2 + 9*y + 10. Let h be o(5). Let d = -3 + 4. Let t(k) = 4*k**2 - 1. Let u be t(d). Solve a + 27 - 10 = h*p, -5*a + 3*p + u = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/113 at least 5311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*g - g - 5*a, 5 = -5*g - 3*a. Let m(n) = -n**3 - 2*n**2 - 2*n - 1. Let h be m(g). Suppose -12 = -3*w - h*w. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 + 2 + -5 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 7. Let q(a) = -a - 2. Let t(k) = k**3 - 3*k**2 + 3*k - 7. Let c be t(0). Let v(p) = -3*p - 6. What is c*q(l) + y*v(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 182\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9876311119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g**4\/8 + 6247*g**3\/2 + 48577*g**2\/8 - 39191*g\/4 + 606 = 0.\nAnswer: -3, 2\/31, 1, 808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**2 - 13*p + 1137. Let u(t) = 4*t. Give y(u(z)).\nAnswer: -96*z**2 - 52*z + 1137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 274178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20))\/(19\/608)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-18) - 16\/(-18). Sort 5\/6, -8, n in decreasing order.\nAnswer: 5\/6, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -211*x + 12. Let k(m) = 106*m - 5. Let s(d) = 5*k(d) + 2*n(d). Give s(-1).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.22 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 7*i**5\/30 - 299*i**4\/12 - 86*i**3\/3 + 117*i**2 - 6. Factor r(g).\nAnswer: 2*(g - 43)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:30 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 30 - 15 - 30.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 1*sqrt(132)*-5)\/(-3*(sqrt(12) + (sqrt(12) - -1*sqrt(12)))))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 9*v + 33. Let q(x) = x**3 - 11*x**2 - x + 7. Let t be q(v). Calculate the remainder when (t\/(-6))\/((-6)\/(-306)) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*c**3 + 455*a**2*c*x**3 - 5*a**2*c*x**2 + 15*a**2*x**2 + 2*c**3*x**3 + 2*c**3*x**2 wrt x.\nAnswer: 2730*a**2*c + 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-420)\/(-630))\/((-1)\/((-2)\/(-12))).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -52\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 12*k**2 + 13*k + 4. Let a be p(-13). Suppose 5*y + 132 - 334 = -q, -a*y = -12. What are the prime factors of q?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:07 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10701456 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 147, 125, 103?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/3 - (316\/14)\/((-9180)\/(-714)).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3966 = 4*p + 5*b, 5013 = 5*p - 63*b + 60*b. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + d + 1. Let r(g) = g**2 + 3*g + 6. Determine -r(f) + 3*v(f).\nAnswer: 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1507 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/2483103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v. Let j(r) be the second derivative of -19*r**4\/6 - r**3\/6 - 204*r. What is j(x(f))?\nAnswer: -152*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 3*h + 4. Let l be m(-3). Suppose l*b - x - 514 = 0, -x + 4*x + 518 = 4*b. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4\/5 - 24*z**3\/5 + 128*z\/5 = 0. What is z?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 1. Let f be t(-1). Does 14 divide (2 + f + -3)*-25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 - -106. Solve 0 = r - 4*c + 6, k = r + 5*c + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -63. Let r = c - -44. What is the smallest value in 3\/4, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 35. Suppose 0 = -2*b - 1 + 5, 0 = 5*s - 4*b - p. Solve 10 = 3*f + 2*d + s*d, -f + 6 = 2*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -268.\nAnswer: -5\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*g - 34 - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 56*b. Let h(f) be the first derivative of -13*f**2\/2 + 4663. Determine o(h(p)).\nAnswer: -728*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -566539005 or -566539003?\nAnswer: -566539005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 - 3*o + 7*o + 2*o**3 in the form b*o**2 + j*o**3 + m*o + z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/187*(-781)\/9585.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 304 + -303.9999258. Round t to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04676791 to 3 decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2156 = 4*f, -4*g + f + 678 - 2829 = 0. Let y = g - -1977. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 9*g**2 - 5*g - 35. What is d(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9052648 from -0.2.\nAnswer: -9052648.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.017 + 0.983. What is the closest to -11 in n, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, b: 1}. What is prob of picking 1 o and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (48 + -44 - (-1 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 125*k**2 + 527*k - 1409. Calculate a(129).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/15 + 2536*h**2\/15 + 63456*h\/5 + 231552.\nAnswer: -2*(h - 1340)*(h + 36)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 6*c**2 + 7*c - 5. Let n be x(5). Let t = 471 - 467. Suppose -m + 2*m - 3 = 0. Solve t = m*u - n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209 + -209.1. Suppose 2*d = -s + 17, -3*d + 4*d - 31 = -5*s. Suppose 0 = -o - o - d. Which is the closest to z? (a) o (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*p + 23*p - 277*p + 1122*p + 3*p - 277*p.\nAnswer: 454*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5223 + -5224.2. What is the second smallest value in -1, -2\/7, 5, n, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548*j - 10 - 83*j - 95*j.\nAnswer: -726*j - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -23*f + 316. Determine n(13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 11*a - 4. Let m = -80 + 90. What is i(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s + 11. Let a be 9 + -3*(-1)\/3. Suppose l + 0*x + 4*x = -2, 2*l + a = -2*x. Let d(m) = 4 - 3*m - 6 + 2*m. Determine l*f(u) - 34*d(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 30*t + 38. Suppose 3*m - 5*y - 224 = 0, -2*m + 72 = -m - y. What is the highest common divisor of m and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = v + v + 60, 0 = 5*v - 5*m + 160. Let q = v - -31. Calculate the common denominator of (-120)\/25 - q\/(-3) and 9\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 57, 1, -2.\nAnswer: -2, 1, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 577, -1\/3, 0.5?\nAnswer: 577","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163909, -163974, -164029, -164074, -164109, -164134, -164149?\nAnswer: -164154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29944.94l?\nAnswer: 29944940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/2)*l**3)**(1\/26)\/((l**(1\/2))**(-8))**(-5\/16) assuming l is positive.\nAnswer: l**(-14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (454*g**2 - 63*g + g**3 - 454*g**2)*(-2*g + 11*g - g) to the form w*g**4 + u*g**2 + p + t*g**3 + l*g and give u.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 10965330.\nAnswer: 43861320","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-1)\/1)*(-10)\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 233 and 17475?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7))**(-1\/25)*g**8\/g**4)\/(g**(-9)*g\/(g**(2\/21)*g*g))**(-1\/19) assuming g is positive.\nAnswer: g**(34486\/9975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3 - 41175*c**2 + 3177407*c - 2359896 = 0. Calculate c.\nAnswer: 3\/4, 77, 10216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**4 - v**3 + 2*v. Let o(c) = -81*c**4 - c**3 + 3*c - 203. Let j = -498 + 499. Let m(r) = j*o(r) - x(r). What is the derivative of m(b) wrt b?\nAnswer: -320*b**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3677142, -3677141, -3677140, -3677139?\n\"Answer: q - 3677143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65460 divided by -42?\nAnswer: -10910\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2.9. Let h = 445.1 - 445. Let a = -3 - -4. What is the nearest to h in b, 5, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*2\/54*0. Let k = 0 - -4. Which is the closest to t? (a) 0.1 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38385071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87818*h**2 + 1173*h + 23 wrt h?\nAnswer: 175636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**5 + 3*a**5 + a**5)*(759 + 454 + 535 + 341 - 7).\nAnswer: 8328*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596911?\nAnswer: 7, 269, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 17*q + 34. Let f be a(8). Let v(n) = -3*n**3 + 6*n**2 + 2*n + 6. Let x be v(-4). Calculate the greatest common factor of f and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 416?\nAnswer: 7072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4972*g = -1782*g + 499796 for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864.816142 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*r = 10, -1 = -38*k + 39*k - 5*r. Suppose 4*u = 2*j + 13 - 1, -4*j = -k*u + 16. Suppose 3 = x - 0. Sort x, u, -2 in increasing order.\nAnswer: -2, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2158*f - 4343*f - 157 + 2181*f)*(f**3 - f**3 - 2*f**3) to the form z*f**4 + m*f + d + u*f**2 + c*f**3 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34509*f + 34000*f - 9162 = 0 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = -3*k, -5*k + 2*s + 2*s = -20. Let r be 36\/(-18)*(-1 + 2). Let j be (-12)\/9*-3 + -14. Sort j, r, k.\nAnswer: j, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.1478962 to three decimal places.\nAnswer: -13.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 7 + 2 + 32 + g - 27.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-60)*(2\/(-135))\/((-40)\/(-48)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 17 - (-5 - (4 - 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = 2*k. Let m be k - (-1 - 66\/3). What is the highest common factor of 14 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -402 - -895. What is the highest common factor of 29 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 10*w**2 + 30*w + 17. Calculate g(-12).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(144) + sqrt(144)*1)\/(-5*sqrt(36)\/sqrt(3)))**2.\nAnswer: -48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11*o + 114. Let i be j(10). Suppose i*m - 6914 = u - 1802, m = -2*u + 1269. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - (-6050)\/(-15))*9\/(-4). Let s = -883 + c. Solve s - 3 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i - 2*i + 2*i)*(-16*i**2 + 24*i**2 + 17*i**2) - 2*i**3 + i**3 + 3*i**3)*(-3*i + 0*i + 4*i).\nAnswer: 77*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2676101 decades to millennia.\nAnswer: 0.002676101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 2 = -x - j, 38958 = -0*x - x + 10*x - 5*j + 38925 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5324) - (sqrt(5324) + -3 + sqrt(5324))))**2.\nAnswer: -3300*sqrt(11) + 133325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - y - 3*t + 13, 4*t = -9*y + 4*y - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -3, 0.3444, 8\/9?\nAnswer: 0.3444","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**18*y\/(y**(5\/4)\/y))\/(y**(-2\/25)*y**3) assuming y is positive.\nAnswer: y**(1583\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016863 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 2. Let s(k) = -3*k + 2. Suppose -3*z + 4*b - 484 = z, b - 353 = 3*z. Let j = z - -120. What is j*s(i) - 3*d(i)?\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 691*c + 16463. Give v(-23).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 408 = -0*w. Suppose -5*p - 413 = -h, 4*p = p - 5*h - 259. Let a = p - w. 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 the second derivative of -2*a**5 + 3656788*a**2 - 6166*a + 64?\nAnswer: -40*a**3 + 7313576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1785274, -1785273, -1785272, -1785271?\nAnswer: -1785270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r**4\/19 - 2*r**3\/19 + 6*r**2\/19.\nAnswer: -2*r**2*(r + 1)*(4*r - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 622836649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*q + 32, 3*q + 5 + 1 = 0. Calculate the smallest common multiple of 18 and g*1\/2 - 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/36 - 88056\/1053. Let q = 84 + k. Which is the closest to q? (a) 3 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4511 (base 9) to base 8\nAnswer: -6403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 12000?\nAnswer: 12004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*g - 305*g + 77*g + 77*g + 72*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let g(f) = 3*f**2 - 3*f. Calculate g(o) - 4*p(o).\nAnswer: 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 427*f + 3920. Give i(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*k - 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21138066949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*12.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-25)*(17 - 17). Suppose -20 = 4*w - 4*j, 0 = 4*w - 4*j + j + 18. Put -7, 2, w, f in increasing order.\nAnswer: -7, w, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**2 - 2*l + 3. Let n be a(-2). Let q = n - 43. Which is smaller: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/(-5) - -4)*5. What is the second smallest value in -0.4, 4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.493 - 12.493. Which is the fourth biggest value? (a) -2\/35 (b) -15 (c) v (d) 6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 58*m**2 - 58*m - 53. Calculate o(-57).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -7*w**3\/6 + w. Let p(y) = -2*y - 13*y + 14*y. Calculate x(p(j)).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 5232.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-256122)\/6324*(-5)\/2835?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (606\/(-66) - -2) + (-7)\/((-385)\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2464320 + 8004320. What is q rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/120 - x**5\/10 + x**4\/6 - x**3\/3 - 6*x**2. Give y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.8 + 6. Let j = -393.01 - -395. Let a = j + 0.01. What is the second smallest value in 3\/7, i, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 5*a. Suppose 0 = -a*i - 12, 130 = -5*m - 4*i + 583. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + 4*m**3 - 2*m**3 + 0*m**3 - 4*m**3 + m**3 + 3*m**3 - m**3 - m**3 + (-2*m**3 + m**3 + 3*m**3)*(5 + 1 - 4).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frr when three letters picked without replacement from rituyyyifytrttyyy?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 38 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501342 is divided by 9122?\nAnswer: 8754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 100002211102?\nAnswer: -100002211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*a - 34 + 6 = 0, -3*n - 2*a + 1 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -9*u + 888. Suppose -u = -8*d + 2*d. Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -6863.28\nAnswer: -2058.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(27))\/(sqrt(7)*2*5) + -1.\nAnswer: -1 + sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2736))*-2.\nAnswer: -24*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5\/h**1)**(-35) assuming h is positive.\nAnswer: h**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5393689239.\nAnswer: 3, 19, 94626127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8068590.\nAnswer: 2, 3, 5, 37, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05024 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -29. Let l be 105\/10*4\/3. What is the least common multiple of h and l + (-5 + 4)*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from nmmnmn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*n - 377417 - 735223 = 0, -n - 1390780 = -5*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9113831 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-90))\/(82\/(-3)). Let u = h + -202\/615. Which is the closest to u? (a) 0.2 (b) -0.5 (c) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24 and -0.04?\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 101 = -3*j, a - 4 = 3*a. Calculate the greatest common factor of 319 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 47218.61km?\nAnswer: 47218610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20722 - 10215?\nAnswer: 10505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j + 3. Let r(g) be the third derivative of 7*g**4\/12 - 3*g**3\/2 + 16*g**2 + 2*g. Determine -17*i(p) - 6*r(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -352 + 0?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkq when four letters picked without replacement from kqqkkq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 290*n**4 + 2*n**3 + 22*n - 11. Let h(a) = 97*a**4 + a**3 + 7*a - 4. Let j(m) = 8*h(m) - 3*w(m). What is the second derivative of j(b) wrt b?\nAnswer: -1128*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*a - 12 = 19, 4*k - 5*a - 47 = 0. What is the remainder when 22 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v*v\/v**(1\/29)*v)\/v)*v*v**(2\/81)*v**(-2)\/(v*(v\/((v\/v**(8\/7))\/v)*v)\/v))**5 assuming v is positive.\nAnswer: v**(-500170\/16443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -22 + -1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-90)*3240\/288?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c27b - 1013?\nAnswer: 1b268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9565972 hours to seconds.\nAnswer: 3443.74992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132 - 92. Suppose 4*h - 9*h - b = 0. Let g(x) be the third derivative of -x**4\/24 - 13*x**3\/6 - 7*x**2. Calculate g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29263, 26249, 21235, 14227, 5231?\nAnswer: -5747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257412?\nAnswer: 2, 3, 19, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 71 - 4547*m - 26 - 28)*(-2 - 2*m**2 + 2) to the form o*m**2 + h + y*m**3 + u*m and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 - 4*c**2 - 2*c - 6. Let p(y) = 8*y**3 - 9*y**2 - 4*y - 13. Let d be 11*12\/(-20) + 6\/10. Give d*p(l) + 13*m(l).\nAnswer: 4*l**3 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -202 + 19 - -37) + 37\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41166 - -3704891\/90. What is the common denominator of -29\/1410 and p?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 0)*(-3 - 2 + 4)*(16 + 0*s**4 + 3*s**4 - s**4) in the form o*s**2 + c*s**3 + x*s + j*s**4 + n and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 17*v + 41. Give n(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2*k**2 - k + 4. Calculate x(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112610607 or -112610608?\nAnswer: -112610607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-26)\/(-14) - (2 - 6). Let p = 8.7 - 9. Let g be (-3)\/2*4\/(-39). Which is the closest to p? (a) g (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9\/(o\/(o**(-1\/9)\/o)))**(-22) assuming o is positive.\nAnswer: o**(-1364\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -425*k**2 - 1161 - 1160 - 2262*k**2 + 2321. Let j(m) = 2*m**2. Calculate x(j(z)).\nAnswer: -10748*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4125*t**4 - 4119*t**4 + 8233*t**4 - 8*t**3 - 150 - 99 - 19*t wrt t.\nAnswer: -132*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w + w - 9*w - 8*w + 10*w + 11*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -30, -8, 48, 150, 310, 540, 852?\n\"Answer: 2*m**3 - m**2 - 11*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -8. Suppose -c + 14 = -d, c - 2 = -r*d + d. Suppose 21*g = 14*g + 252. Calculate the greatest common divisor of c and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*d + 19. Suppose 3*i + 5*k + 224 = 0, -3*i + 2*i + d*k = 86. What is the common denominator of ((-98)\/(-105))\/((-8)\/i) and -143\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/100 + 78\/20)*2\/(-44). Let m = 4 - 1. Which is the fourth smallest value? (a) k (b) -1 (c) -1\/4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -89*b - 38. Let a(d) = 30*d + 13. Let i(j) = -11*a(j) - 4*l(j). Differentiate i(k) wrt k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/sqrt(343))\/(sqrt(363) + sqrt(363)*-3 - sqrt(363) - sqrt(363)) - ((sqrt(243) - -1*sqrt(243))*-5 - (sqrt(243) + -1)*-2)**2.\nAnswer: -15556 - 88705*sqrt(3)\/308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*i - 50 - 48, 2*k = -4*i + 64. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74620\/(-84))\/65*(-9)\/(-3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-105)\/25 - -3)*(-400)\/60. Let h = 18 + 18. What are the prime factors of -12*a\/h*-30?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 230 - 362. Let u = n - -301. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34828, -1\/3, 5, -0.035, 0.3 in decreasing order.\nAnswer: 5, 0.3, -0.035, -1\/3, -34828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 344\/885 + 2\/177. Let m = -1.94 - 0. Let x = 0.06 - m. Put g, -1, x in descending order.\nAnswer: x, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5979\/171 - 5728\/(-163248)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277 + 272. Let u be 0 - (0 + (-21)\/w). Is u at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2169*x - 92. What is the thousands digit of p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:11 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/4279551 and -16\/111.\nAnswer: 158343387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -4*l + 11, -5*l = 3*r - 55. Let t(n) = -41*n + 426. Let k be t(6). Suppose -l*g - 2*g = -k. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-6*o + 184 - 218 + 4*o).\nAnswer: 6*o + 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from waswwawsasswawgaa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -4*a + 18, -4*a + r + 14 = -0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90168 - 0.3.\nAnswer: -90168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -8 - 10. Suppose 5*s - 23 = 2. Solve 15 = -s*g + q, 5*g + o = -q - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 17*m - 39*m + 318 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 1. Suppose 4*i + 4 = 5*f, 3*f = 2*f - 4. What is h(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 11*d**2 - 15*d - 11. Let l(x) = 131*x**2 - 6*x - 2. Let a(f) = 88*f**2 - 5*f - 2. Let g(z) = 3*a(z) - 2*l(z). Determine -11*g(k) + 2*v(k).\nAnswer: 2*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 639474 divided by 11.\nAnswer: 58134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -2*n**4 + 6*n - 4. Differentiate h(c) wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (760\/38)\/(2*-3)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahandak. What is prob of sequence hd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/8840 - 72271\/663000. What is the common denominator of v and 19\/600?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/9 + 520*m**2 + 214742*m\/9 - 24380 = 0.\nAnswer: -46, 1, 2385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 27.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2650967.89 to the nearest 1000.\nAnswer: 2651000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:13 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k - 30*k + 50*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cc (base 14) in base 13?\nAnswer: 22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0 + 0*j**6 + 0*j**3 + 0*j**5 - 1\/336*j**8 + 0*j**4 - 1\/210*j**7 - 4*j**2 + 0*j. Factor h(t).\nAnswer: -t**4*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 + 19*m**3 - 748 + 12*m**3 + 751 + 11*m**3 - 6*m**2.\nAnswer: 50*m**3 - 6*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4628.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 4*q - 43, -1782*q - 25*o - 115 = -1786*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284576 is divided by 558?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-285)\/540*-2 + -1\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(1*6\/(-8))*-54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + y**3 + y**3)*(y**2 - 6184 + 6189 - 7*y**2).\nAnswer: -12*y**5 + 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d. Let g(n) = -4*n - 24. Let w be g(-11). Let o(s) = 0*s + 20 - w + 2*s. Determine o(l(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4116 and 10?\nAnswer: 20580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + 1)**2 + 1 + 3 + -1.\nAnswer: 2*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 8*p**2 + 8*p + 7. Let c be h(-9). Suppose c*g = -3*g. Solve 3*o = 6 - g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 3 + 3 + (-2*f**2 - f**2 + 5*f**2)*(0 - 1 + 0))*(-14 - 13 - 6)*(f + f - 4*f).\nAnswer: -66*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 66208 - 66253 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -853, 0.72, -36.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 386*l - 93 = 381*l, -2*v - 4*l = -84. Solve 28*w + v*w - 312 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38817*z**3 + 543426*z**2 - 1979835*z + 612 = 0.\nAnswer: -17, 4\/12939, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465340749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 - 4*v - 4. Let x be (19\/38)\/((-2)\/(-8)). Let w be r(x). Solve 0 = f - 3 + 6, w*f + 12 = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/979 + -75\/47971. Find the common denominator of 1\/3 and s.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/2*(3 - (-59)\/3) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:56 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 468122 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + b**2 + 3*b**2)*(-2*b + b + 0*b) + (-3 - 3 + 1)*(-2*b**3 + 0*b**3 + b**3).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -224 + 889*l**4 + 43*l**2 + 30*l**2 - 888*l**4 wrt l.\nAnswer: 4*l**3 + 146*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37\/296*(-8)\/(-6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 28. Let c be k(13). Let n = c + 14. Let s = -12 + n. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3415788 times 0.5\nAnswer: 1707894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -324720000 to the nearest 1000000.\nAnswer: -325000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 461 - 461.3445. Let y = u + 0.4. What is y rounded to 3 dps?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + x - 4*x + 12 = 0, -3*x - 36 = -3*w. Suppose -2*y + 3 = -45. Calculate the highest common divisor of w and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - (-6 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from fffffyfffyffyfffffff?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*l + 234, 3*l + 119 + 19 = 3*s. What is the highest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 26*m + 1 - 2 - 16*m.\nAnswer: -38*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*k - 4*w, -4*k = -3*w - 34 - 8. Suppose 3*g - k*g = -96. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3333, -3339, -3345, -3351?\n\"Answer: -6*f - 3327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -27. Let o = z + -3. Let f = 0.027 - 0.127. What is the second smallest value in o, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.88 - -5.2. Round b to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641204 (base 7) in base 3?\nAnswer: 12122010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 2:29 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17777.68 take away -29315477?\nAnswer: 29333254.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 43*c - 42.\nAnswer: -(c + 1)*(c + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (49\/(-14)*1)\/(9674\/(-138200))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from bbbcvqrvvvvzbbbq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(121)*-3)\/(sqrt(11) + sqrt(891)*1)*-1.\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 n when three letters picked without replacement from xsssxnxnsxssv.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) 1\/6 (b) 2 (c) 1\/27 (d) 1 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(26)*-4*1)\/(sqrt(128) - sqrt(2)).\nAnswer: -5 - 4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -3. Let c(f) = 8*f - 4. Suppose 3*i - 195 + 177 = 0. Calculate the smallest common multiple of c(h) and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3045 and -266.\nAnswer: -809970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.847867 decades?\nAnswer: 0.06847867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*y**5 - 2*y**3 - 400*y**2 wrt y.\nAnswer: 5160*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.88811 * -10\nAnswer: -28.8811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -198 + 361. Let u = -383 + d. Let j = 233.9 + u. Round j to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 5*a - 6. What is f(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 13 = -12. Suppose -3*d - 3*a = 3, -v*d = 3*a + 1 - 2. Suppose -i = 4 - 6, i = d*m - 30. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36217 + -2?\nAnswer: 36215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -32483 = -5782001\/178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 2, d: 1, r: 1, w: 1, q: 1}. Give prob of sequence wkk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 23*m - 125. Determine l(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -480 + 448. Put 0, d, 3 in ascending order.\nAnswer: d, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5516 and 210?\nAnswer: 82740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1185, -2375, -3567, -4761, -5957, -7155?\nAnswer: -8355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 558*z**2\/7 + 8908*z\/7 - 320\/7.\nAnswer: 2*(z + 16)*(279*z - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 65.2 (c) 3\/2 (d) -1 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 8:04 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 671364 and 612?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -3\/10*r**4 + 16\/5*r**2 + 2\/5*r**3 + r + 1\/50*r**5 + 29. Factor f(k).\nAnswer: 2*(k - 8)*(k - 2)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 2, -9159\/5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 19*w**2 + w. Give g(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/23 (b) -5 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 a factor of 2214245139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/9 - -4)*1368\/(-16). What is the nearest to r in -2, -4, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 6:37 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2360, -2, -2.19.\nAnswer: -2360, -2.19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1112424654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 - 183. Let k be ((-32)\/(-40))\/(q - (-2)\/(-25)). Let p(v) = -v**2 - 11*v - 11. Determine p(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 + 216*f - 444 = 0 for f.\nAnswer: -74, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4975241*a*i - 4704862*i wrt a.\nAnswer: 4975241*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 117 = -131. Does 29 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 783343.5 decades?\nAnswer: 7833435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6)*(-52)\/(-78). Let u(k) be the first derivative of -v*k**3 - 5\/2*k**2 + 0*k - 2. What is the second derivative of u(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 123, 193, 313, 483?\n\"Answer: 25*q**2 - 5*q + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*b - 5*o + 3*o, -5*b - 3*o + 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*o - 4 = 0, -j + o - 3*o + 6 = 0. Suppose 4*d = 9*d - 15. Let i be (j - (2 + -6))\/d. Solve v + 2 = -i*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 2) + -9 + 2 + -2 + -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 + t - 167. Let k be q(0). Let f = -118 - k. Is f a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 18. Let f be 20*(9\/r - 1). What is the units digit of (-24)\/(-15) + 4\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.160046 and -3.94.\nAnswer: -16.39058124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2072 and 2131681.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*285\/12*16\/4. Suppose -6*n + o = -127. What are the prime factors of n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90412 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2345, -1\/10 in increasing order.\nAnswer: -2, -1\/10, 2345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -208567 take away -0.0666?\nAnswer: -208566.9334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -4*n - 5*v + 28, 0 = -4*n - 4*v - 24 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 - 4*p**4 + 3*p**4 + (-7*p**2 - 2*p**2 + 3*p**2)*(1 - 1 + 2*p**2).\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-8))\/((-2)\/(-8)). Let m = -329 + 614. Suppose m = 11*o + 32. Solve 3*s = 3*c + w, -4*s - c + o = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*t**3 - 2*j**3*t**2 - 60*j**3 + 184806*j*t**3 - 2*j*t**2 - j*t - t**3 - 35 wrt t.\nAnswer: 12*j**3 + 1108836*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*n + 59*n + 252 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7023*p - 14031*p + 7013*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**47*(v\/(v**11*v))\/v*v\/v**(2\/29) assuming v is positive.\nAnswer: v**(1042\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13 <= -425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 12*p**2 - 28*p + 76. What is j(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58954989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-405)*-3*5. Let c = 0.3 - 0.3. Let n = c + 0.2. What is the third biggest value in u, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 4 = -4*v. Suppose 5*h + 15 = r - v*r, -2*h - 6 = -r. Find the second derivative of -2*n - n + 2*n**4 + r*n**4 + 0*n**4 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 8:44 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 815?\nAnswer: -814.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*r - 296*r = 3*y + 21, -5*r = 3*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(3)*-2 - (-1*sqrt(75) - sqrt(3)).\nAnswer: -2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2248 or 1840?\nAnswer: 1840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*z = -18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(17 - 20\/5). Suppose 0 = -2*z + 15 + h. What is the remainder when 26 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*m - 6*c + 550, -m = -5*c - 137. Suppose 2*l - 6*l = 4*j - m, j = -5*l + 156. What is the remainder when l is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3 + 17*q - 2*q - 8 + 3. Suppose 3*o + 12 = 7*o. Is b(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.3. Let l = -6.5 - -45.7. Let h = -39.1 + l. Which is the closest to 3? (a) 0.5 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 18. Let i be v(5). Suppose -k - 11 - 7 = -p, -3 = -i*k. What is the greatest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.9. Let t = -53 - -54. Which is the closest to t? (a) q (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -2\/5*r**2 + 2\/15*r**3 + 2 + 0*r. Factor j(z).\nAnswer: 2*z*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 2*b - 14)*(4 + 0 + 4)*(-7 - 10 - 2).\nAnswer: 304*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4462 and 134366.\nAnswer: 13033502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 273512 or 1367562\/5?\nAnswer: 1367562\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0)*(-1 + 9\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.5, -1.5, 1\/3, -5, -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101297 = -8661*u + 8654*u. What are the prime factors of u?\nAnswer: 29, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (23 - 3)*8\/(-10). Let u be (-248)\/14 - q\/(-56). Let h be (1\/(-3))\/((-16)\/u). What is the smallest value in -0.2, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 greater than 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237039*i + 33 = -c - 237035*i, -2*c + 2*i - 36 = 4*i for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 70*y**3 - 3*y**2. Let o(u) = -35*u**3 + u**2. What is -5*o(b) - 3*p(b)?\nAnswer: -35*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 188070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112202110110 (base 3) to base 5.\nAnswer: 33243403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 6 = 0, 6*p - 74 = 4*p - 3*l. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x + 14*x - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16766 + -8311. Does 55 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5041 - 1?\nAnswer: -5042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/2 - 7*w**4\/2 - 3*w**3\/2 + 19*w**2\/2 + 7*w = 0. What is w?\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f + 131066 = 131388 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10312 and 26?\nAnswer: 134056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -64205 divided by -12841?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5 - 4. Let p = -30 - -30. Sort k, 2, p in increasing order.\nAnswer: k, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*27\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + 172. Let v = -63 - z. Is (v - (-1 - -1)) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3745 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 s(i) = -5*i**2 + 3*i - 1. Let v = -3 - -3. Suppose -4*r + 2 = 3*x, v = -3*r - x - 2*x. Calculate s(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.145 times 4\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3754 - -3767 - (2 + 2 + -2 - 9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 282 - -28. Suppose -4*c = 2*o - 152, -4*o - 2*c + l = -0*c. Suppose -3*r - r = -2*i - o, 3*i = -5*r + 70. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -244 - -243.9. Which is the nearest to -2\/5? (a) n (b) 5 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24618 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(99) + (sqrt(99) + 1)**2 + sqrt(99))*-2.\nAnswer: -198 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10907 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 - -179. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 52 - 55 + z.\nAnswer: z - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 10 = 2*o - 3*o, 0 = -o - 4. Suppose -16 = 4*w, 3*g + w - 3*w = d. Calculate the greatest common factor of g and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 + 135.2. Let x = n - 28.25. What is the second smallest value in 0.2, x, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -10*q + 8*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2324 is divided by (-1)\/(-4) - (-2091)\/164?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 + (-6)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 761206591 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microsecond in nanoseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**2 - 1302*k + 1305 = 0?\nAnswer: -435, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**4 - 15774*u**3 - 20750688*u**2 - 41438304*u = 0?\nAnswer: -2628, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 250, 248, 248?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 340, -2 in descending order.\nAnswer: 340, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(88)\/(sqrt(32)\/sqrt(4)) + sqrt(11) + sqrt(11) + 0)*5.\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24306399 divided by 69249.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328763, 657562, 986371, 1315190, 1644019, 1972858, 2301707?\nAnswer: 2630566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(-3\/16))*o*(o**(2\/19)\/o)\/o*o assuming o is positive.\nAnswer: o**(-25\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -534*l**2 + 9*l + 3 wrt l?\nAnswer: -1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2003*y - 3769*y + 1878*y + 10650 = 682 for y.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f + 398. Calculate the remainder when b(28) is divided by 24\/10*(-180)\/(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 22*x + 391. Let q(w) = -8*w - 1. Calculate o(u) + 2*q(u).\nAnswer: 6*u + 389","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 2*h - 4*h, -4*s + 2 = -2*h - 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 4*q. Suppose d + 15 = 5*m, -q*d + 45 = -0*m + 5*m. Differentiate 4 - m*b - 4*b + 3*b + 2 wrt b.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 7. Let q = 464.7 - 464.76. Which is the nearest to q? (a) t (b) 1\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 3*j - 2. Let w = 14 - -15. Suppose 5*k - 11 = l, -3*k + w = 6*l - l. Does 18 divide f(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4472075*s**4*v - s**3*v + 8796860*v with respect to s.\nAnswer: -17888300*s**3*v - 3*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/(7\/42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -2\/15, 5\/2, -38, 6 in decreasing order.\nAnswer: 6, 5\/2, 2\/13, -2\/15, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57934, 115864, 173784, 231688, 289570, 347424, 405244, 463024?\nAnswer: 520758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = -11 - 29 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 9. Let g be -2*((-24)\/(-16) + 1). Let l(d) = d + 4. What is g*l(w) + 2*f(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16914603613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-27)\/(-4))\/3)\/(((-114)\/8)\/(-19)). Factor 4\/7*b**l + 0 - 4\/7*b + 0*b**2.\nAnswer: 4*b*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-26))\/((-2184)\/(-99372))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14453*m**4 + 3*m**2 - 101985*m wrt m.\nAnswer: -173436*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 164 * -3795\nAnswer: -622380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ako when three letters picked without replacement from ujpokka?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-56)\/(-42))\/2)\/((-2)\/45). Sort -2, x, -6.\nAnswer: x, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 95*r - 4151. Does 52 divide k(53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r, -o + 18 = -3*r + 4. Suppose 3*d + 3*x = x + 26, -2*d + x = -o. Suppose 3*z + 5 = 14. Sort z, d, -1.\nAnswer: -1, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -57. Suppose 4*j - 4 = 2*j + 4*y, -4*y + 8 = 0. Calculate the lowest common multiple of 6 and (44\/10)\/(j\/t).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4503, 4489, 4465, 4431, 4387, 4333?\n\"Answer: -5*y**2 + y + 4507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -73875 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89692243 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-35)\/(-3))*(-3)\/(-9)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 255, 1117, 2547, 4539, 7087, 10185, 13827?\n\"Answer: -w**3 + 290*w**2 - w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43925 = 177*a + 1078*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1643895 is divided by 1144?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 4:37 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 852*a**3 + 4*a**2 + 7*a - 2 - 8 - 853*a**3 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 3, 0, 0.4, 4, 0.984?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7413573 divided by 2471191?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*0.4\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 9:27 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 44666814*p + 44666814*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1060 - 1060.00001086. What is a rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 48*i - 44*i - 127, 3*i - 129 = 3*r. Suppose -7*g + 4 = -5*g. Calculate the highest common divisor of g and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8878710 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 1140 - 2064. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 22. Suppose -9 = -f - 3*n, n = -f + 5*n + k. Does 9 divide ((-54)\/10)\/(f\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (34903\/121)\/(-19) + 15. Which is smaller: 431 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 1064?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n = -18*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 32 = -30, s + 12 = 4*k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 6*m - 19*j + 7 = 0, -2*j + 10 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*n**2 + 10*n**2 - 16*n**2 in the form a + y*n + u*n**2 and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4 - 2*m + 5 - 15.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 18*r + 21*r + 12*r - 51*r.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 21 - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvuvuvuvvuuvv. Give prob of picking 2 u.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -215) + (-15 - (3 - 20)). Calculate the highest common divisor of 2068 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/239 or -0.02?\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11200 and 16751600.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63\/56350838 + -1249382882421\/248394493904. Let o = z - 18\/551. Find the common denominator of o and 79\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/41)*z)\/(z*z*z\/(z\/(z**(2\/11)\/z))*z))\/(z**(-9)*z)**29 assuming z is positive.\nAnswer: z**(104572\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2622648, -5245295, -7867942, -10490589?\n\"Answer: -2622647*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -927*l - 5. Is h(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -462621083, -462621089, -462621099, -462621113, -462621131?\nAnswer: -462621153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -94. Let g = q + 34. What is the closest to 0 in -0.1, g, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2629024 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 29, 65 in decreasing order.\nAnswer: 65, 29, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -143\/51 at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 40*c**2 + 840*c + 173889. Let m(v) = -13*v**2 - 2*v. Let y(r) = 6*m(r) + 2*t(r). Factor y(h).\nAnswer: 2*(h + 417)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -360*s + 17. Let o(n) = 359*n - 25. Determine 2*o(a) + 3*w(a).\nAnswer: -362*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2))**(7\/2)\/(g*g**4*g)**(-11) assuming g is positive.\nAnswer: g**(153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25765725 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 992 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: What is 595 minutes after 12:10 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -10*i + m + 1433, -4*i - 5*m + 1936 = 0. Suppose -4*d - 5*s + 3724 - i = 0, -3*s = -4*d + 3269. Is 41 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**3 - s**2 + s - 1. Let p = -8 - -12. Suppose 2*r - 4 = p*n, 0 = n + 3*n - 5*r + 16. Calculate y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-7 - -12) + 4 - -80. What is the highest common divisor of 527 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**2 + o. Let f = -6705 - -6716. Let p(y) = 34*y**2 - 6*y. What is f*t(x) + 2*p(x)?\nAnswer: -9*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**2 - 6*w**2 + 163*w**3 - 11*w + 0*w**2 - 5 - 164*w**3. Determine t(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467037 is divided by 280.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-57)\/(-12)) + 1. Let t = 10 + -6. Which is the closest to -1? (a) 0.2 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/(4\/(-8)*-1). Differentiate -f*o**4 - 5 - 1 - 12*o**4 - 5*o**4 with respect to o.\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2273, 2258, 2245, 2234, 2225, 2218, 2213?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 182.11 + -2\nAnswer: 180.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314 divided by 2.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 19*j**2 - 89*j - 131. Let u(a) = 14*a**2 - 66*a - 99. Determine -11*u(q) + 8*z(q).\nAnswer: -2*q**2 + 14*q + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 23 = -5*v - 0*p, -4*p + 13 = v. Solve v*k - 7 = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.95 + 0.3\nAnswer: -3.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1066*f**4 - 6020*f**3 + 9846*f**2 - 4140*f = 0. Calculate f.\nAnswer: 0, 345\/533, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {v: 3, z: 1, o: 3, c: 1, u: 1, p: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1037 - 519. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsssq. What is prob of sequence szsq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 237 and 137934.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195905 is divided by 26551?\nAnswer: 10048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 2 + 2)*(-2*d**3 + d**3 + 0*d**3) - d**3 - d**3 + 3*d**3 to h*d + t + j*d**3 + i*d**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 25 + 6*v + 400*v**2 + 429*v**2 - 830*v**2 + 2. Give o(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 73, 115, 157, 199?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 6*c - 11*c - 10, r + 4*c + 23 = 0. Let j = 21 - 13. Suppose 4*n + 4*h = -j, -4*n + 6 = -7*n + 4*h. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11693, 11691, 11687, 11681, 11673?\nAnswer: 11663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1522 + -1473. Solve -8*t - u = -33 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iobnoibbbobqibo. What is prob of picking 3 b and 1 o?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2465300 is divided by 1478.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365 (base 8) in base 12?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 4*j + 2*a - 24 = 0, -2*j - 4*a + 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 10 - 35*s**3 - 9.\nAnswer: -35*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 12*w**2 + 53*w - 1051. Is a(42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3317, -0.5 in decreasing order.\nAnswer: 5, -0.5, -3317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1486 - -3856. Calculate the greatest common factor of 240 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4501 (base 8) in base 12?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (52 - 52 - (-2 + 4 - -14)) - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42671474 + 753.\nAnswer: -42670721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + 4*(sqrt(176) + 5))**2.\nAnswer: 608*sqrt(11) + 3182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 - 25*b - 34. Let f(j) = -757*j + 11368. Let r be f(15). What is n(r)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -749.43*-2.017\nAnswer: 1511.60031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10 - 4*s**2 + 5*s**3 - s**2 - 5*s - 5*s**2.\nAnswer: 5*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/337 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o**(-5\/2)\/o*o)\/o)\/o)\/o)\/(o*o*o**6*o)*o**(-5)*o*(o\/o**(3\/2))\/o*o)**(-1\/28) assuming o is positive.\nAnswer: o**(19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**4 + u**3 + 10*u**2 - 17. Let j(n) = n**4 + 3*n**2 - 6. Let m(g) = -17*j(g) + 6*v(g). Find x, given that m(x) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 + p**2\/4 - p\/2.\nAnswer: p*(p - 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 9. Let u be y(-5). Suppose 4*t + u*t - 40 = 0. Solve -t*c + 4*c + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + 2*n - 2*n)*(1 - 3 + 3)*(6*n + 5*n - 2*n) + (7 - 13 - 11*n + 7)*(-3*n + 6*n - n) + 3*n**2 + 0*n + 0*n to s + g*n**2 + j*n and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1935*m - 1875*m = 253980. What is the remainder when m is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from pqupokkugup.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 2\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 13*m + 15. Let b be y(-1). Let s be (-46)\/(-10) + (-2)\/(-5). Find the third derivative of -3*f**2 + 3*f**2 + 5*f**2 + f**s + 2*f**b wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 25*f**2 - 25*f + 57. Let r be v(24). Let s(t) = 298*t**2 - 1. Let w be s(1). What is the greatest common factor of r and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a68378 (base 11) to base 16\nAnswer: -1a158c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (6241922\/(-30))\/(20\/(-12)). Let s = -2799669542\/22425 + a. Let j = s - -104\/23. Are j and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7556317ug in milligrams?\nAnswer: 0.0007556317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3. Suppose h = m + 44 + 356. What is m rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 212, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 + 6.4. Let i = 5.5 - r. Suppose -48 = -143*f + 147*f. What is the fourth smallest value in 2\/7, f, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*o = 430 + 284, 0 = 3*v + 3*o - 546. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1110*c**4 - 857*c**2 + 17*c**5 - 782*c**2 + 14*c**5 - 1001*c**2 - 30*c**5 wrt c.\nAnswer: 60*c**2 - 26640*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-10)\/(-180) + 56\/(-16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002588 (base 9) to base 16.\nAnswer: 490310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.4. Let b = 3.5 + -3.3. Is b at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 871468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 40*t - 372. Give u(12).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3816 and 47\/10828?\nAnswer: 10329912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -3*m**8\/56 - 5*m**4\/12 - 3*m. Find the third derivative of t(g) wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 4*y = -36, -y + 97 - 123 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(133)\/(sqrt(28)\/sqrt(4)) + sqrt(19)*2 + 4 + -1 + sqrt(171)))**2*6*-2.\nAnswer: -206400 - 7200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 3*i - i)*(-3 + 4 + 0) - 11*i + 0 + 0 - 1 + 2 + i + 1 to f*i + v and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7575.11 + 24740965.\nAnswer: 24733389.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**2 - 4*n**2 - 2*n**2 + 4*n**2 in the form b*n + c + s*n**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. Suppose -f*s + 34 = -10. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*v**2 - 122 + 3*v + 23*v**2 - 4*v**2 + 11*v**2 - 11*v**2 wrt v.\nAnswer: 64*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 6:14 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 (base 11) in base 3?\nAnswer: -22021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*u + 1 - 2 + 1.\nAnswer: -53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-135)\/12)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((9\/3)\/(-15)). Let b = 2 - u. Let w(p) = 3*p**2 + 2*p - 4. Let j(h) = -5*h**2 - 5*h + 8. Let o(n) = b*w(n) + 4*j(n). Give o(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 1. List the prime factors of 216\/22 + q\/33.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 16) in base 13?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**4\/3 - 112*l**3\/3 + 804*l**2. Determine o(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -8*v + 49. What is the third derivative of 7*l**5 - 5*l**5 - 3*l**2 - v*l**2 - 5*l**5 wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/4, -1, 257?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwwh when four letters picked without replacement from {w: 3, g: 1, v: 1, h: 7}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**5\/5 - 27*l**4\/4 - 19*l**3 + 1819*l**2\/2 - 1734*l - 3200. Factor d(b).\nAnswer: -(b - 6)*(b - 1)*(b + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -13\/6252319 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b, 0*h + 3*h + 4*b + 1174 = 1192 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 110.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -860, -3453, -7778, -13835, -21624, -31145, -42398?\n\"Answer: -866*o**2 + 5*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 20) + -3 + 0 + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 k when three letters picked without replacement from fwujjkkfs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-20)*4\/(-3). Let i = 0.8 + -0.2. Let r = i + -0.3. Is h > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579434474 to the power of 1\/3, to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 345 - 315 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**3\/6 - x. Let k(s) = -s**3 + 0 + 0 - 7*s**2 - 3. Let u be k(-7). Let l(b) = -4*b. Determine u*l(a) + 10*w(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7106956 - 6*b - 7106956.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3690, -7376, -11060, -14742?\n\"Answer: r**2 - 3689*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4) - 1)\/(28*57\/532)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*j = n + 7, -2*n + 10 = 4*j. Calculate the greatest common factor of 3 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -5983.\nAnswer: 23932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -1\/3*l**3 - 3\/2*l**2 + 16*l - 1. Calculate p(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than or equal to 19\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102732 + -32935. Let n = f + 85667. Round n to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -345775945, -345775943, -345775941, -345775939, -345775937?\n\"Answer: 2*d - 345775947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1615*o**2 + 4356*o?\nAnswer: -3230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-eight ninths of a hour?\nAnswer: 23200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 501*k - 3*k**2 + 2*k**3 - 260*k - 239*k + 30 + 36 in the form h*k + b*k**2 + o*k**3 + v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 - 3. Let m = 29.5 + -29. Which is the nearest to k? (a) m (b) -3\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2*(-80)\/(-165)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01012 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - -0.01. Let f = 1.13 - q. What is f rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19020898 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -646 + 646.00333. Round u to 4 decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -49. Let q(p) be the second derivative of 0 + 1\/3*p**3 + c*p + 0*p**2 + 1\/12*p**4. Find the second derivative of q(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-238)*6\/3)\/(((-7)\/1)\/(-14)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1026884 and -0.1?\nAnswer: 1026883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3569 and -47.\nAnswer: -46.6431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0 - 15. Suppose -5*p = -d*b, -3*p + 2 = 2*p - 4*b. Solve p*m - m = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4)*-2 - (sqrt(275)\/sqrt(5) + sqrt(55))\/sqrt(11))*6.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 - h - 6 - 113*h**3 + 10*h**2 + 114*h**3. Let s be m(-7). Is (s - (5 - 3))\/((-3)\/180) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 + 129.08. Let s = -0.08 + x. Put -2, s, -0.4 in decreasing order.\nAnswer: s, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 5*t**2\/2 + 4*t. Let l(p) = -p - 11. Determine -7*g(u) - 3*l(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 2*c - 2. Suppose 3*h + 27 = -6*h. Calculate u(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 106485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23631, 23486, 23091, 22320, 21047?\nAnswer: 19146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 - 4 = 0. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -261539\/8512 - -4110\/133. What is the common denominator of j and 43\/504?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13009447.\nAnswer: 11, 1182677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsddssdd. Give prob of sequence dd.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 592127489 to the power of 1\/3, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10) - 57\/15. Let d(j) = 3*j + 2*j - 13*j**2 - 22*j**2. Let n be d(g). Round n to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000406536 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 2*m**3 + 0*m**3 - 2 - 2 + 7 to u*m**2 + j*m**3 + t + v*m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 12 = 54*s - 53*s, 0 = -4*s - n - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 10 = 0, k - 5*k + 635*o - 641*o - 100 = 0 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -124, -4, -6 in ascending order.\nAnswer: -124, -6, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 7*t - 7. Suppose -x - 3*g = -2*x + 2, 5*x = 2*g + 10. Suppose 6*w = x*w - 20. Let f be l(w). Let b(j) = -j**3 + 4*j**2 - j - 4. What is b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 6*(-3)\/6. Let h(j) = 5 - l - j + 1. Determine h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + (-11 - (15 + -18 - -7 - 1))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m + 10. What is u(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 17*d - 209. Let i be x(12). Let q(r) = -r**3 + 5*r**2 + 1. Let t be q(5). Put -11, t, i in descending order.\nAnswer: t, i, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522224.6 rounded to the nearest ten thousand?\nAnswer: 2520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 10. Let j be g(5). Let w(t) be the first derivative of -t**4\/4 + 4*t**3\/3 + 2*t**2 - 2*t + 3. Determine w(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - w**2 + 2*w. Suppose 5*t - 50 = -3*z, z - t = 2 + 4. Let v = -6 + z. Suppose -3*u - 9 = 3*b, -5*u + v*b - 6 = -0*b. Determine l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/9)\/8*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -30. Suppose t*d - 18*d + 10 = 0. Suppose 3*y - 5*y = d*x - 61, 3*x = y + 41. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 21 = -2*f, -2*f - 38*n + 39*n = 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.90946 + -0.00254. Let y = f + -0.088. Let u = y - -32.7. Put u, 3\/2, 15 in ascending order.\nAnswer: u, 3\/2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -u - 2*v + 30, -4*u + 3*v + 35 = 0. What is the highest common factor of 25 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -579*l**2. Let y(a) = -a**2. Calculate y(k(r)).\nAnswer: -335241*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 9*w + 7. Let f be o(-2). What is the nearest to -2\/5 in f, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8*139\/(-834). Which is the third smallest value? (a) j (b) -4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5821 + 11380 + 3141 = 1453*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/4*144\/(-42))\/((-33)\/22). What is a in -r*a**2 + 16\/7 + 2\/7*a**3 - 8\/7*a = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 5. Suppose u = 4*p - 2. Suppose p*c - 54 = 34. Calculate the least common multiple of 16 and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8826000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 - 8*o - 15. Let k be g(3). Suppose -2*b = -5*n + k*n - 406, 3*n - b = 1225. Is n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7064 is divided by 3494.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(2\/(-2)))\/(27*(-112)\/(-252))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 1. Let j(z) = -9*z**2 + 9*z**2 + 7*z + 2 - 5*z**2. Let l(k) = -2*i(k) + j(k). Factor l(g).\nAnswer: -5*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -207.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 0, 38 in increasing order.\nAnswer: -6, 0, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 8*a**2 - 6*a - 4. Let c(s) = 456*s - 5002. Calculate the remainder when p(5) is divided by c(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 10)*(-2 - 3*m + 5*m - 4*m**2 + 2*m**2) in the form s*m**2 + j*m + d and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + m - 23526, 2*o + 2*m - 4150 = 7616. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.00007 + -5. What is d rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 460869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4943 is divided by 146.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 9*k + 2. Let f be u(-9). Solve j - 15 = f*g, 4*g - 2*j + 35 = j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -436.\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-42)\/((g\/((g**(1\/4)*g)\/g))\/(g\/((g\/(g**2\/g))\/g))) assuming g is positive.\nAnswer: g**(-163\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-2) - (-10)\/14) + (-2395800)\/(-420). Which is smaller: 5703 or a?\nAnswer: 5703","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 17*c + 0*c**3 + 23\/2*c**2 + 0*c**5 + 0 + 8\/15*c**6 + 0*c**4. Find the first derivative of g(u) wrt u.\nAnswer: 64*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = -17*v + 147. What is the common denominator of (-12)\/v + (-3414)\/(-2520) and 53\/154?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61828 and 328?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0 (c) -0.4 (d) 2.7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 92 (base 14) to base 10\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {u: 3, c: 1, v: 2, h: 1, z: 3, a: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -31*n - 30. Let v be s(-7). Let x be 2\/(-4) + (-45)\/(-10). Suppose x*t + v = 5*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 3*b**2 + 5*b + 3. Let m be y(-4). Let r = -31\/2 - -17. Put m, r, 4 in decreasing order.\nAnswer: 4, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 165504?\nAnswer: -3\/55168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:35 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -34, -17, -0.06 in descending order.\nAnswer: -0.06, -8, -17, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + 5.5. Let k = -7 + m. Is k greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = n + 9*d - 11, -7 = -3*n - 4*d. Let w(z) = -z**2 + 8*z - 6. Calculate w(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 27 - (-54)\/(-36)*(-12)\/(-18).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113045 - -2?\nAnswer: 113051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*t - 45*t + 13*t)*(186*t + 6*t**3 - 186*t).\nAnswer: -288*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(288) - (sqrt(288) - (sqrt(288) + -2 + 5 - sqrt(288)))) + -2 + -1))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35812 and 5667249?\nAnswer: 22668996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*k**3 + 42*k**3 + 59*k**3)*(-3 - 2*k + 3) - k**4 + 0 + 0 + (3 + 1 - 2)*(-13*k**4 + 20*k**4 + 0*k**4).\nAnswer: -121*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 4*c - 11. Let a(v) = -v**2 + 3*v - 12. Let m(i) = -2*a(i) + 3*z(i). Let o(l) be the first derivative of m(l). What is o(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. Suppose d*q - 9*q = -45. Let j = q - 7. Which is the nearest to 1? (a) -3 (b) -2\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-267)\/1602)\/((-8)\/(-1872))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 - 2112135*s + 5 + 0 + 10 + 2112138*s.\nAnswer: 3*s + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 1136*w + 6863. Determine i(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469790632*g - 234895317*g - 234895315*g + 11*g**3.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:53 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -2*i**4 + 196*i**3\/3 - 300*i**2 + 252*i - 917. Solve h(j) = 0 for j.\nAnswer: 1\/2, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4550 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -36. Suppose 3479 + 2226 = f*n. Suppose -n = -2*i + 5*l + 73, -4*i + l = -1812. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*q = 10, -6 = -v - 5*q - 0*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a708 (base 13) in base 2?\nAnswer: 101101001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3)*-2 + sqrt(27) + 4.\nAnswer: -sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41762 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -5*f + 35, 6*y + 26 = -70*f + 72*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 1. Let s = p - -12. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 7 - 11 - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c + 5. Let y be x(6). Let q = -0.05849 + -0.14151. What is the third biggest value in q, y, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102317, 102319, 102321, 102323, 102325?\nAnswer: 102327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 6*d**2 - 9*d - 9. Suppose 10 = -2*q, 0 = -2*a - q - 5. Let w = 9 + a. What is the remainder when w is divided by v(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (510*o**2 + 876*o**2 - 127*o**2 - 712*o**2 + 847*o**2)*(o + 3*o - 6*o).\nAnswer: -2788*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let h(u) = 23*u + 37. Let d(r) = -177*r - 297. Let k(v) = -6*d(v) - 46*h(v). Determine a(k(l)).\nAnswer: -8*l - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 345538966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1771 divided by 30\nAnswer: 1771\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.3, 3\/28, 1\/2 in increasing order.\nAnswer: 3\/28, 1\/2, 10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40207777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5007*z - 104586. Give a(-21).\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -6*q**2 + 1\/72*q**6 + q**3 + 0*q + 0*q**4 + 0*q**5 + 0. Let n(f) be the first derivative of c(f). Factor n(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 4*j**2 - 3*j - 4. Let t be f(-3). Let d = t - 1. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:36 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 20\/31 (b) -1\/37 (c) 0.9 (d) 0 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 814 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-6 - -9) - (-9 - ((112 - 10) + -14)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, -9 in decreasing order.\nAnswer: 4, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -471.423\nAnswer: -471.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0627*948.6\nAnswer: -59.47722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 74\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938415 is divided by 992?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = -671 - 229. Let u be (1\/1)\/(d\/(-8) - -5). Solve 49 = u*z + 39 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -174. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -18\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/154343 and -69\/476.\nAnswer: 617372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 0*h + 2*h)*(-5 - 1 + 22) as p + j*h and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6*x - 5 + 1 + 5*x - 3*x - 4*x + 2*x + 3*x - 3*x + (1 + 0 - 3)*(-4*x + 4*x - x) + 0 + 0 - x + 3*x - 3*x + 2*x)*(8311 + 185*x**3 - 8311).\nAnswer: -555*x**4 - 185*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 141\/33586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -48*k + 46*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17832634987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s = 23*s + 3*v, 3*v - 15 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -53. Suppose 12 + 288 = 10*d. Calculate the least common multiple of d and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30602 from 70698.6674.\nAnswer: 40096.6674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12650 + 141*n + 131*n - 6329 - 6321 - 217*n.\nAnswer: 55*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 161015619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**2 - 36 + 76 - 6*v**2 - 40.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l\/l**(-8))*(l\/l**0*l)\/l*l*l assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-976)\/(-40) + 4\/(-10). Suppose -6*b - 6 + o = 0. Solve l - 5*q = b*l + 12, -2*l - 4 = q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 25*o**2 - 15*o - 16. Calculate the lowest common multiple of v(-12) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k = 8. What is the lowest common multiple of 12 + (-244)\/(-20) - 4\/20 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.4314.\nAnswer: 0.08628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2811*t**3 - 62 - 20447*t**3 + 63.\nAnswer: -23258*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*z**2 - 60*z - 39447?\nAnswer: -56*z - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 418926 - 1440226. What is c rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from sdrfesk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60848007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 12606?\nAnswer: -12603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 + 213?\nAnswer: 23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -356886, -356897, -356914, -356943, -356990?\n\"Answer: -h**3 + 3*h**2 - 13*h - 356875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k. Suppose 2 = y + y. Let m be f(y). Suppose 0*u - u + m = 0. What is the biggest value in 3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + m + 25 = 0, -2*v + 449*m = 454*m + 17. Let d = -6.06 - -0.06. What is the smallest value in -5, v, d, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 42. Suppose 2*z = v, -35 = 2*t - 5*z - 85. Factor 6*k**2 - 17*k**2 - k**2 - 8*k**2 + t*k + 5*k**3 - 10.\nAnswer: 5*(k - 2)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(4 + 27\/(-6)). Let w(g) be the first derivative of x*g**5 + g**2 - 1 + 0*g**3 + 1\/6*g**6 + 0*g**4 + 0*g. Find the second derivative of w(d) wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19943, -39617, -59291, -78965, -98639, -118313?\n\"Answer: -19674*b - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + 0. Let q(f) = -2*f + 27. Let u be q(-9). Suppose u = -0*m - 15*m. Which is the closest to 0? (a) m (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**2\/2 - 3*w - 14. Let t be (8 - 2)*(-1 - 0). What is s(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 78.27356cm?\nAnswer: 0.0007827356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3892 + -2185. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 12*c + 9. Determine z(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 30166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 19*o**2 - 13*o**2 - 8*o**2. Let h(b) = b**2. What is 7*h(n) + 5*l(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/2 (b) -8 (c) 46 (d) 100.8 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u - 6. Let l(n) = n + 1. Let t(b) = -6*l(b) - w(b). Let v(s) = 10*s. Determine t(v(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -13, -43, -97, -181?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 648 + -456. Is 23 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2. Let f(k) = 159*k - 444*k + 3 + 204*k. Determine t(f(v)).\nAnswer: 13122*v**2 - 972*v + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*-6 - (-4 + 5). Suppose -2*q - 3*g + 4*g = -2628, q + i*g = 1307. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 44*z - 413 + 413 as j + f*z**2 + g*z and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000354 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 9*m - 8. Suppose 0*r + 2*r + 2*d = -22, -3*r = -2*d + 13. Let w be c(r). Suppose -f + w*f = 10. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/31 in -3, 3\/8, 0.77?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -675652, -1351308, -2026964, -2702620, -3378276, -4053932?\nAnswer: -4729588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -176363856.6 rounded to the nearest 10000?\nAnswer: -176360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8410 + -5512. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 50 - 62 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/5))**(-2\/71)*s**(2\/3)*s*s**(-1) assuming s is positive.\nAnswer: s**(674\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 6*f**2 - 4*f - 3. Let i be t(5). Suppose -c - p - 3 = 0, i*c - 5*p - 15 = 6*c. Is 14\/11 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 2:03 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3.8 (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1546, 12913, 24276, 35641, 47014, 58401, 69808?\nAnswer: 81241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 1, -164, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(176)*-5)\/sqrt(4))**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = g, 4*g + 5*m - 25 = -0*g. Solve g = 5*o + 2*k - 3 + 1, -k + 1 = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -11. Put v, 0, -5 in decreasing order.\nAnswer: 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25922)\/(-156))\/(490\/(-33) - 0). Let x = i - -786\/49. Find the common denominator of x and 63\/25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46, -105, -176, -259, -354?\n\"Answer: -6*u**2 - 41*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6571121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -f + 127. Which is the closest to 0.2? (a) 0.1 (b) f (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 + y**2 - 3*y**2)*(63 - 95 - 150)*(-3*y + 4*y - 3*y) to the form q*y + j*y**2 + k*y**3 + d and give k.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 442 - 314. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*d*p**3 + 18*d*p**2 - 65*d*p + d - 1983*p**3 + 6843*p + 1 wrt p?\nAnswer: -78*d*p + 36*d - 11898*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 10 + 5)*(0*f - 2*f - 2056 + 2072).\nAnswer: -8*f + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -221, -882, -1985, -3530, -5517, -7946?\n\"Answer: -221*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, q: 2, r: 4}. What is prob of sequence drrq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -109*l - 310. Determine u(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -136.\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142060501 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 4*l - l + l + 6*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -5 (b) -1\/2 (c) 0.66 (d) 26 (e) 5 (f) 3.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 4*r + 628. Let c be m(-23). Solve 0 = 2*i - 4*g + c + 3, -6*g = -i - 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -865 + 864.9. Which is the fourth biggest value? (a) 1 (b) -5 (c) 2\/3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, 3, -1, -418 in decreasing order.\nAnswer: 9, 4, 3, -1, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 162 + 0 = 0. Let a = 51 + m. Is (15\/5)\/(a + 2) + 85 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 4*q + 13. Let t be l(-6). Let b = t - 23. Suppose -2 - 16 = -b*i. Calculate the remainder when 16 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1274, 1, 2, 5 in descending order.\nAnswer: 5, 2, 1, -1274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23\/168 - 7\/24. Let t(c) = -2*c**3 - 11*c**2 + 7*c + 9. Let s be t(-6). What is the closest to 2 in -0.5, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2\/5 - 17*o\/5 = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196\/(-4116))\/(1\/(-12))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*k - 15961 - 5435 - 4784 = 221*k for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((240\/28)\/(-5))\/((-90)\/315)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (((-1 + sqrt(1700) + sqrt(1700))*4 + 5 + (sqrt(1700)*2 - sqrt(1700)))*-4)**2).\nAnswer: 17280*sqrt(17) + 13219320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146\/8*(271 - -137).\nAnswer: 2, 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1541 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4619 divided by 260\nAnswer: -4619\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/2*(-102)\/51.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**6\/15 + 623*y**5\/10 + 3801*y**2\/2 + 7587*y. What is the first derivative of l(j) wrt j?\nAnswer: -8*j**3 + 3738*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 157.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -236967*u + 78673041. Give w(332).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -13*d + 49 + 26*d - 33 - 19*d. Calculate s(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -13. Is p < 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-210)\/72)\/(-35)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1091, -122, -4 in decreasing order.\nAnswer: -4, -122, -1091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1849*o - 55129 - 124*o + 55129 to t*o + a and give t.\nAnswer: 1725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6206752 and 292?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, 0.1, -5, 355, -0.27 in descending order.\nAnswer: 355, 5, 0.1, -0.2, -0.27, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 7. Let p = -13393 - -13402. Suppose -3*i = -l + z, -p*i + 4*i - 52 = -3*l. Solve 0*m + l = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - s**2 - 17. Let f be h(0). Let c = f + 54. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 5c9b?\nAnswer: 5ca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 11 - 331 = 0. Let r(o) = -2*o - 4. Let b be r(-3). Suppose 0 = -4*y + c, -2580015 = b*n + n - 3*y. Round n to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 7*m**6\/60 + 5*m**3\/3 - 5*m**2\/2 - 7. Let f(k) be the second derivative of l(k). Differentiate f(d) wrt d.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 681328221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 7403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*s + 25299985 = 0, 2*s - 6356359 = m - 1296353. Round m to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwo when three letters picked without replacement from bmbubwwubbob.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/19 - 4136*z**2\/19 + 90024*z\/19.\nAnswer: 2*z*(z - 2046)*(z - 22)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 2*u**2 + 4*u**2)*(-2 - 1 - 1)*(2*u - 2*u - 2*u).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011101101111 - -110010101110?\nAnswer: 111010000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/6 and 73\/30920.\nAnswer: 92760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76 - 219 + 114 - 8*n**3 + (3 - 3 - n**2)*(-3*n + 4*n - 2*n).\nAnswer: -7*n**3 - 181","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mscbscmmcbmm. What is prob of picking 1 s, 1 m, and 1 c?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -16. Let j = -27 - -79\/3. Which is the nearest to 2? (a) j (b) m (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34261778 a multiple of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 24*k**2 - 137*k - 18. Let u be w(10). Let l(x) = x**3 - 12*x**2 - 2*x + 5. Calculate l(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*y**4*z + 23927*y**3*z - 23*y + 19594074*z with respect to y.\nAnswer: 24*y**3*z + 71781*y**2*z - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7807252.\nAnswer: 2, 19, 43, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2340 and 117520?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1598? (a) 6\/5 (b) 2 (c) 7 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8031*201.61.\nAnswer: 1619129.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3 - -2))\/(-5). Let o be ((-3)\/(-5))\/((-14)\/(-10)). Which is greater: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 88*r**4 + 720*r**3 + 952*r**2 - 44*r - 336. Let d(t) = 16*t**4 + 131*t**3 + 173*t**2 - 8*t - 61. Let v(z) = 28*d(z) - 5*j(z). Factor v(a).\nAnswer: 4*(a + 1)**2*(a + 7)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oovjxvtvtvvjx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.52 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2 - 516*q + 12159 = 0.\nAnswer: -193, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/17, -4, 1, -0.3, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**4 + 3*y**4 - 4*y**4)*((-3 + 5 - 1)*(-2 + 1 - 1) + (-2 - 7 + 1)*(3 + 0 + 1)) in the form q*y + x*y**2 + o*y**4 + k + z*y**3 and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -371?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 22*z**4 - 8*z**3 + 418*z + 15. Let b(u) = 22*u**4 - 8*u**3 + 419*u + 12. Let y(p) = -5*b(p) + 4*r(p). What is the second derivative of y(o) wrt o?\nAnswer: -264*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - 7) + -21 + 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 295620703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1691.798 + 1691.68799894. Let r = -0.11 - z. What is r rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/30, -0.5, 2, -6, 4\/5, -2\/9.\nAnswer: -6, -0.5, -7\/30, -2\/9, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 + 5*m**4 - 5*m - 17*m**2 + m**3 + 24*m**2 - 57 in the form o*m**2 + k*m**4 + g*m + c + l*m**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 9*b**2 + 9*b + 3. What are the prime factors of g(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017876 rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microsecond in nanoseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269855226 divided by 76707.\nAnswer: 3518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = -2*p + 23, -2*p = 2*n - 18. Solve -51 = n*d - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20, -4, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188 - 183. Suppose 0 = 5*v - 9*v - 2*g + 672, n*v - 2*g = 858. Calculate the greatest common divisor of 136 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 704*x - 700*x + 1672. Let f = 543 + x. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 10:35 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 17. Suppose 28 = c*i + 2*n, 0 = i - 2*n - 9 - 5. Suppose -12*b = -i*b + 28. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -14272\nAnswer: -14271.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 4, x: 6}. Give prob of sequence rcrc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 7*y - 8. Let d(w) = 2*w**2 - 6*w - 7. Suppose 4*f = -2*n + 172, 4*n + 0*f - 322 = 3*f. Let x = -88 + n. What is x*a(v) + 7*d(v)?\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 22377*r**2 - 134290*r + 179064.\nAnswer: (r - 4)*(r - 2)*(r + 22383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -99, 2, -50?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 311*s - 5. Does 16 divide z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19465 (base 12) to base 13\nAnswer: -13a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 23*p - 116. Let u be s(-16). Let x(r) = -144*r**3 + 2*r**2 + 19*r + 1. Is x(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b - 10 = 0. Calculate the common denominator of -41\/16 and 0 - b - (-294)\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/72)\/(1050\/(-600))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3264) + -6*sqrt(3264)*2)\/(sqrt(297)\/sqrt(275)).\nAnswer: -440*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(220) - (sqrt(220) + sqrt(220)*-2))\/sqrt(11))\/(sqrt(10)*-1*3))**2 + -1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.783 minus 1340?\nAnswer: -1341.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156543 is divided by 972?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 + (-57)\/(-21). Let u be 580\/440 + (-9)\/6. What is the fourth smallest value in y, u, -3, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -424?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (0 - (-1 + -9)) + 5 + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1985 is divided by 1929?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*v = 471*v - 1632. What is the remainder when v is divided by 44\/33*(-78)\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g - 112. Let h be x(-13). Let l(r) = 551 - h*r**3 - 543 - 2*r - r. Let y(i) = -6*i**3 - 4*i + 9. Determine -4*l(w) + 3*y(w).\nAnswer: 2*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -60, -2, 468, -21 in decreasing order.\nAnswer: 468, -2, -3, -21, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1 + 12 - 13*l + 9*l + 5*l**2 - l**2. Let j be v(-9). Suppose 0 = 7*n - 6*n - j. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w**3 + w + 1. Let s be d(-1). Let i = s + 10. Suppose i = -5*h + 6*h - 10. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 585*y**2 - 3*y - 250. Let s be p(15). Round s to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9663596+-33069.7\nAnswer: -33068.7336404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 - 7.53. What is the third smallest value in -1, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*r - 5*k, 52*r + 15 = 64*r + k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 18*w + 8. Let p be k(-18). What is the third derivative of p*n**6 - 3*n**2 + 12*n**2 - 40*n**6 wrt n?\nAnswer: -3840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**3 + 2*i - 1. Give t(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-1)\/(2\/4). Let f = 0.14 + 6.56. Let n = 5.7 - f. Which is the third smallest value? (a) n (b) g (c) -0.7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83913.8 rounded to the nearest one hundred?\nAnswer: 83900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345a (base 15) in base 12?\nAnswer: 2b887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7972? (a) -0.3 (b) -3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 2, 1\/2 in increasing order.\nAnswer: -5, 1\/2, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*0)\/((-4)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -394*y + 2888 + 264 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) -0.1 (c) 0.04 (d) -45.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 37 + -5 - -15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483, -1136, -1789?\nAnswer: -2442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-4 + 1 + 2*sqrt(704))*-1*6 + -3))**2.\nAnswer: -103680*sqrt(11) + 3657636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59433759 and 5699.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2541) + (sqrt(84) + 3*sqrt(84) + sqrt(84) - sqrt(84))\/sqrt(4))\/(5*(sqrt(847)*1 + sqrt(847))*-5).\nAnswer: 9*sqrt(3)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 193*y + 813. Let a(i) = 583*i + 2435. Let q(z) = -6*a(z) + 17*t(z). Find the first derivative of q(p) wrt p.\nAnswer: -217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 72, 1\/52, -3, 1\/22, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4578358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u = -339. Suppose -2*k + u = k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 0*d**2 - 3 + 0*d**2 + 3*d**4 + 3*d**2 to the form x*d + a*d**2 + i*d**3 + l*d**4 + p and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12032102 - -53?\nAnswer: 12032155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3361990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 11. Let u(h) = 2*h + 5. What is u(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + w - 3*w + (-5 + 2 + 4)*(2*w + 0*w + w))*(w - w - w)*(0 - 3 + 0) to a*w + n*w**2 + p and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -882, 503, 4, 10 in decreasing order.\nAnswer: 503, 10, 4, 1, -882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**8\/7560 + o**7\/1890 - o**5\/270 - o**4\/108 - 2*o**3\/3 + 3*o. Let g(d) be the second derivative of q(d). Factor g(c).\nAnswer: 2*(c - 1)*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202183532363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + 4*sqrt(143))*4 + sqrt(143))\/sqrt(11))**2.\nAnswer: 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glggggggglg. Give prob of sequence gg.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*c - 5*c = -27, 0 = -5*c + 10. Solve -72 = -k*j - 116 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7}. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196265771, -196265773, -196265775?\nAnswer: -196265777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-88)\/(-6) - (-5)\/15. Suppose 4*k = -k - x. Is 1\/k*(-22524 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 + 2\/8. Let o = 4\/35 + -2\/5. Let w = 302 + -308. Which is the nearest to t? (a) -3\/4 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from gcgjjgcgjgjg?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose -2*d - 20 = -3*d + f, -28 = -3*d - 5*f. Does 4 divide d\/4 + b\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2001212 + 1175212. What is j rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 5, q: 2, w: 3, h: 1, f: 1}. What is prob of picking 1 q and 1 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 41. Let o = -4.3 + 4. Put 0.4, r, o in descending order.\nAnswer: r, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 30*x - 8. Let o be c(-12). Let f = -87 + o. Let z = f - -32. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 16*m + 5. Let j be p(16). Suppose i + 2*i = 5*c + 7, -3*c - j*i + 23 = 0. Which is bigger: c or -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/12 + (-8)\/(-12). Let l(g) be the first derivative of k*g + 2\/3*g**3 + 1 + 0*g**2. Let h(z) = 5*z. Determine h(l(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 2*z**6\/75 - 13*z**5\/100 + 11*z**4\/60 - z**3\/15 + 133*z. What is k in m(k) = 0?\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*6 - (-1 - -3). Let n(h) = -24*h - 259. Let u be n(-11). Suppose 0 = i*q - u*w - 33 + 5, 5*q = w + 14. Solve 0 = -q*r + 8 - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 4*z - 8. Let p(c) = -c**2 - 2*c - 1. Give p(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 2, q: 4, j: 1}. What is prob of picking 2 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 6450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5301 (c) -27\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5\/8 - 698*w**4 - 1700025*w**3\/2 + 357294838*w**2 - 1418956856*w + 1415545632 = 0.\nAnswer: -2956, 2, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 103. Let m(d) = 32 - u + 116*d**2 - 5*d - 29*d**2. Is 25 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 490 and 2860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 679 and -64541004112.9?\nAnswer: 64541004791.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 3908522773.754.\nAnswer: 3908522773.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -4 (c) -3 (d) -88 (e) 40\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 26. What is m rounded to zero decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1890 and 9819?\nAnswer: 2061990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2066 = -364. Suppose 4*u = -5*l + y, 0*u - 3*u + 382 = -5*l. Let x = u + -54. Is x a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*w = 28, -3*q - 2*w = -16 - 60. Suppose -7*u + 11*u = q. Let c(y) = 2*y**2 - 10*y + 20. What is the lowest common multiple of c(u) and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/1590323 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 119, -2\/25, 0, 0.11, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13005669379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zly when three letters picked without replacement from luutlltzluyylzuyy?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = k - 5*k - j, 3*k + 2*j = -11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**8\/240 + t**6\/12 + 16*t**3\/3 + 21. Let d(v) be the third derivative of i(v). Find the third derivative of d(a) wrt a.\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -194, -166, -154, -164, -202, -274, -386?\n\"Answer: -m**3 - 2*m**2 + 41*m - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.329 years in millennia?\nAnswer: 0.879329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -730345 less than or equal to -729992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 26*v - 41*v = -56*v + 34, 4*b = -3*v + 18 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*l**3 - 50*l**3 + 21*l**3 + 1 - 81 wrt l?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*x - 7*x - 31, 0 = 4*j - x - 13. Let k(g) = 2*g - g**3 + 3 + 3*g**j + 2 - 2. Let d(p) = -654*p - 2618. Let h be d(-4). Determine k(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 5*n - 3 + 3*n.\nAnswer: 4*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -3*g**5\/5 + 9*g**3 - 6*g**2 - 36*g + 437. Factor l(t).\nAnswer: -3*(t - 2)**2*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from ruv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2353\/6 + -392. Let g(t) be the second derivative of 0 - 26*t - 1\/48*t**4 + a*t**3 + 0*t**2. What is s in g(s) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 46. Solve m*s - 12 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - -1. Calculate the remainder when j is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -206*z + 18967 - 18967 + (3 - 2 - 2)*(-1 - z + 1) + 3*z + 2*z - 2*z.\nAnswer: -202*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -490*m**2 + 883 - 30 - 98 wrt m.\nAnswer: -980*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9716, -19435, -29154?\n\"Answer: -9719*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/(-55))\/((-6)\/435). Calculate the greatest common divisor of a and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.063 + 0.937. Put n, -1, 10 in decreasing order.\nAnswer: 10, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1456)\/156 - 4\/(((-10)\/(-4))\/(-5))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13005.9 + -13006. What is the biggest value in -4, -3, 4, 3, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 418847908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 + 5*u**2 - 655*u - 820. What is d(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -51, -92, -149, -222?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from aidnuidhiauhid.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + q + 1. Let g(y) = -161*y**2 - 6*y - 10. Let o(c) = -g(c) - 3*m(c). Let r = 1324 + -1320. Is o(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3*-3*sqrt(2268))**2 - (sqrt(2268) + 1)**2*2).\nAnswer: -432*sqrt(7) + 1075020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((-30)\/(-315)*-7).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose -5*x + 4*k - 351 = 0, 5*k + 56 = 2*x + 176. Put x, -5, -1, f in decreasing order.\nAnswer: f, -1, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10161*m**4 + m**2 + 61582*m.\nAnswer: 121932*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a factor of 91493028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437621*m + 3049109*m + 62059*m + 3760383*m.\nAnswer: 6433930*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 6*i**2 + 7*i - 7. Let n be j(5). Suppose -10 + n = k. Do -9 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-4 + sqrt(204))*5 + (sqrt(204)*1 - sqrt(204))*1)\/(2*sqrt(768) - (sqrt(12) + 6*sqrt(432))).\nAnswer: 5*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*u + 12*u + 45. Let j(d) = -d**2 - 8*d - 8. Let l be j(-5). Let t be 2 - (l\/(-5) + 3). Which is the third smallest value? (a) u (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1543.33772\nAnswer: 1539.33772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1139)\/(-85) - 13)\/(42\/(-40) + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5469 or 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11780 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3. Let y(v) = -2*v**3 - 2*v**2 + v. Let j be y(o). Let h(f) = -4*f. Let q(b) = -5*b. What is j*h(s) + 2*q(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 l when three letters picked without replacement from llfqclrcl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = v. Let n be v - 0 - 117\/(-26). Factor -1\/2*t**2 + 1 + n*t.\nAnswer: -(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(80\/(-15)) - 1\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -228.97 - -228.0239. Let l = h - -0.94. What is l rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 59*u + 244. Let c be f(-4). Solve 4*b - c = 12*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 7*z**2 + 7. Let w be o(-7). Suppose 4*d - 21 - 7 = 0. Calculate the highest common factor of w and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/(4\/(-6)) + 250. Let y = h - 141. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (64\/24)\/(28\/6). What is the biggest value in 7, 0.3, t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4311?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoaauurv. What is prob of picking 1 a and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m + 1. Let g(y) = 6*y + 3. Let c(b) = -3*g(b) + 5*j(b). Let w = -1 - -3. Suppose -o + x + 2 = 0, 2*o + w*x - 9 = 5*x. Determine c(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.074 (b) -0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/989 - -4\/43. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/3, 275, -6.86, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 3*i - 6*i + i + i in the form r + u*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186349707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 17. Suppose -h*u + 12 = -2*u. Suppose 141 - 3 = u*j. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155715 = -635*l - 6780*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32604*l**2 + 7220 wrt l?\nAnswer: 65208*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*y - 16, 5*g - 33 - 2 = -4*y. Suppose -5*q + 409 = 2*i, i + 571 = 4*i - q. Suppose i = y*f + 42. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 - -152.21. Put -2\/11, -1, n in decreasing order.\nAnswer: n, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -523464*f**2. Let o(c) = 6*c**2. Give o(l(t)).\nAnswer: 1644087355776*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 7*q**2 - 7*q + 3. Give b(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 488977, 977952, 1466927, 1955902, 2444877?\n\"Answer: 488975*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**3 - 5*i**2 + 3*i + 2. Let c(k) be the first derivative of k**4\/4 + k**3\/3 - k**2\/2 - 146. Calculate 3*c(r) + g(r).\nAnswer: -3*r**3 - 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1306 is divided by 1086?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d**2 - 13*d - 8*d**3 + 1 + 18*d**2 - 3*d**2 + 13*d to f + k*d + j*d**3 + p*d**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/10*195\/(-546). Which is the nearest to -1? (a) -3 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (-6 + -3)) + (-14 - 0)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, j: 3, g: 4}. Give prob of picking 1 j and 2 g.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-5)*20*(-8)\/(-64). Let w(o) = -o**2 + 3*o - 7. Let q be w(0). Let v = 62\/9 + q. Which is bigger: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*-7.3\nAnswer: 21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmo when three letters picked without replacement from omom?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1257\/973780 + 1\/5380. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 175 + -165.3. Let m = h - -5. Let k = m + -15. Sort -0.02, -0.1, k.\nAnswer: k, -0.1, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 235*q - 2 + 2 in the form j + t*q and give t.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950 bigger than 4480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19172776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 13. Let p be l(-10). Suppose 8*y = -p*y. Let z be (-1 - (1 + -2))\/(0 - 1). Solve 5*f + z*f + 15 = y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409.75196 rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*x - 11 = 0, -3*j + 4*x - x - 6 = 0. Calculate the common denominator of 77\/2 and 355\/(0 + j)*(-2)\/204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 113400 and 4900?\nAnswer: 793800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 15*y + 24. Suppose -3*f + 3 = l - 0, -2*l = -4*f - y. Let p be -2*(-5 - -5 - 1). Sort 1, p, -3, l in decreasing order.\nAnswer: l, p, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) - (-32)\/6. Suppose -j*y + 157 - 67 = 0. Let x = 573 + -375. Calculate the greatest common factor of x and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 319 and -0.2.\nAnswer: -63.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert ed63 (base 15) to base 11.\nAnswer: 34849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.31 - -0.71. Let o = 1161 + -3421\/3. Let t = o - 20. Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*1*(-4)\/(-8). Suppose b = 2*k - 6*k - 5*l + 248, -3*l - 12 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17\/3*v**3 + 28*v**2 - 5\/3*v**4 - 12*v + 0 = 0. What is v?\nAnswer: -3, 0, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 15*b - 20. Let i(y) = -14*y + 25. Let n(h) = 5*i(h) + 4*w(h). Let j(m) = -m + 4. Suppose 2 = -4*s - 178. What is s*j(t) + 4*n(t)?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2. Let f be (3\/3 - 7)\/(-2). Let n = 7 - f. Let a(c) = -3*c + c + n*c. What is a(d(v))?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-6 - -4))\/2. Suppose x = u, 2*x - 3*x = 5*t. Suppose 3*a + a + j - 14 = t, -3*a + 5*j = -22. Sort 2, 8, a in descending order.\nAnswer: 8, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1596\/1985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 531 - 520. Are u and -36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n*n**(3\/7))**2)**(-34) assuming n is positive.\nAnswer: n**(-1156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*4*(-3)\/9. Let h(s) = s**3 - 8*s**2 + 2*s - 12. Let z be h(q). What is the greatest common factor of z and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4\/18 + 4*o**3\/9 - o**2 - 3*o - 1. Let f(y) be the first derivative of b(y). Factor f(p).\nAnswer: -2*(p - 3)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:55 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggzugughggy. Give prob of sequence hu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-3\/2)\/f*f*f))\/f**(-1\/9)*f**9*f**(-2)*(f*f*f*((f*f*f**(-2\/3))\/f)\/f*f)\/(f\/f**(-6\/5))*f**(-3)\/((f*f**4)\/f) assuming f is positive.\nAnswer: f**(247\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 2479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 105\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o**4 - 1910*o**3 + 2445*o**2 - 250*o - 245 = 0. What is o?\nAnswer: -49, -1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 + -11) - (2 + -6 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 8*d**2 + 18*d - 11. Determine u(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 11:01 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -473*d**2 - 456*d - 2*d**3 - d**3 + 227*d + 230*d in the form k*d**3 + h*d + j*d**2 + l and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9728 and 9834324.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**15*o)**36*o**11*o*o\/(o**(2\/13)*o)*o assuming o is positive.\nAnswer: o**(-5917\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -28, -91, -208, -397, -676, -1063, -1576?\nAnswer: -2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246800\/74040*6\/(-385).\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.218 * -0.259\nAnswer: -0.056462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23796056 to the power of 1\/2, to the nearest integer?\nAnswer: 4878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.963 rounded to one dp?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3614963 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*(-8)\/(256\/(-40)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**3\/3 + 106*h + 1. Let a(o) = -o - 4. Let d be a(-6). Let z = d - 4. Calculate s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/18*((-10)\/(-2))\/15.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10151 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(288)*2 + -2 + sqrt(32) + -3)**2 + 1.\nAnswer: -224*sqrt(2) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -18. Let b(v) = v**3 + 6*v**2 + 5*v - 2. Let f be b(t). Is f < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881304715 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.45353 millennia to months.\nAnswer: 281442.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**3 - 4*p**2 + 7*p. List the prime factors of h(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 229086 by 2574.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(117) - (-6*(-1 + sqrt(13)))**2.\nAnswer: -504 + 63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 0*o**3 - 36346*o**5 - 2 - 2*o**3 + 36395*o**5 - 6*o**5 + 0*o**5 + 3*o**5 + (-2*o**2 - 2*o**3 + 2*o**2)*(-8 + 8 - 4*o**2).\nAnswer: 54*o**5 - 2*o**3 + 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0*z - 3*z + 4*z)*(-612 + 452*z**3 + 612).\nAnswer: 452*z**4 - 1356*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 1. Let m(i) = 4*i - 38. Let z(j) = -m(j) - 2*r(j). Does 4 divide z(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1435, -6, -2\/27, 1?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:57 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6793645 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37843*h + 131 - 131.\nAnswer: 37843*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 344 - 154 = -4*h + 159, 4*h = -5*m - 25 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 * 5.42.\nAnswer: 173.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159769?\nAnswer: 159769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 58368 = 37*a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1656.099277 to the nearest 10.\nAnswer: -1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from {p: 5, h: 4, q: 2, u: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 72.00000139. What is n rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -3, 5, 3.\nAnswer: -6, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucib when four letters picked without replacement from iuiihhbhubuccc?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 13 = -5*h + 11, 4*z - 3*h + 4 = 0. Find the third derivative of 0*v**4 - 3*v**2 + 0*v**z - 2*v**2 + 4*v**4 wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(1\/3)\/s)\/s)\/(s*s\/(s*s**(2\/9))*s)*(s*s\/(s\/(s**(-1)\/s*s*s)*s))**8)**(-6\/19))**(-29) assuming s is positive.\nAnswer: s**(-1798\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.1*4.\nAnswer: -92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 362, 389, 416, 443, 470, 497?\n\"Answer: 27*v + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-3)\/2*29004\/9 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 {e: 10, z: 2}. What is prob of picking 2 e and 1 z?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by -13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5696063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*z + 17257 = 17530 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73746 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*((4 + ((sqrt(605)*-1 + sqrt(605))*3 + sqrt(605))*-4)**2 + 4)*-5.\nAnswer: -1212500 + 44000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, v: 13}. What is prob of sequence vvva?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 144603234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 90.19 * 4391\nAnswer: 396024.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-13\/4)*m))\/m*m)\/m**(-3))**28 assuming m is positive.\nAnswer: m**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -131*p + 10*p**2 + 64*p - 2 + 69*p. What is the remainder when n(2) is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225473624?\nAnswer: 2, 28184203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62088729491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*s**5 + 7*s + 3*s - 5*s - 24*s wrt s?\nAnswer: 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2842 divide 11133838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 49. What is the highest common divisor of 319 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 0 - 16\/5*b - 334\/5*b**2 = 0.\nAnswer: -8\/167, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 67 = 71. Let v(f) = 1 - 23*f - u + 28*f. Let l(h) be the second derivative of h**4\/3 + h. Calculate v(l(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*d = -200*d - 103545. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**4\/4 + 52*l**3 + 103*l**2. Let b be o(-52). Solve b = 7*k - 28 - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7633267?\nAnswer: 7633267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 9*l - 17. Let z be v(4). Suppose 3*g - 2*i = -g + 42, z*g = 4*i + 39. Calculate the remainder when 16 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*(-38)\/3249*(-7)\/(-140)*27*3?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -3*f - f - 5*s, s = -3*f - 70. Let b = 213 - f. Let t = b + -109. Calculate the highest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q + 15. Suppose 0 = -69*y + 63*y + 648. Suppose 0 = q*t - y + 13. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2698 and 1.3?\nAnswer: 3507.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 282 = -4*m. Suppose -l + 32 + 23 = 2*w, w - 4*l - 32 = 0. What is the remainder when m is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73039*t**2 - 73100 wrt t?\nAnswer: 146078*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2777 + -0.0223. Let d be 14\/22*(-4 - -2). Let g = d - -61\/22. Which is the nearest to -2\/5? (a) -1 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 295*s**2 + 8832*s + 1 - 4417*s - 4412*s to the form o*s**2 + j + n*s and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:05 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140789636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r**(-6\/7)))\/r)\/((r\/(r**7\/r))\/r))\/(r\/r**(-5\/12)*r**(-7)) assuming r is positive.\nAnswer: r**(877\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 2 + -6 - 93) + (-3 - 4 - -9)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-1 + 5 + 0). Suppose 0 = -2*s - 2*b - 26, 4*s + 2*b = b - 40. Let g = -6 - s. Put -3, x, g in descending order.\nAnswer: g, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796\/127 greater than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -0*i + 5*i + 5*p, 2*i - 4*p - 36 = 0. Suppose -9 = 3*w, -6*b + 3*b + 27 = -5*w. Let n = i - b. Calculate the least common multiple of n and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 644.9 and -5.\nAnswer: 639.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2. Let x(k) = -32*k - 11. Calculate -5*v(h) - x(h).\nAnswer: 32*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -825172 divided by 67.\nAnswer: -12316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a)\/a)**(10\/9)*(a**(3\/2)\/a)\/((a**6*a)\/a))\/((a\/a**(-1\/4)*a**(2\/15)*a)\/(a**(-1\/2)*(a*a**3)\/a)) assuming a is positive.\nAnswer: a**(-323\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - 4*f + 4*f + (-2 + 7*f**2 + 0*f + 0*f)*(-4*f - 2*f + 11*f).\nAnswer: 34*f**3 - 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2\/3 - 21*o - 62\/3 = 0?\nAnswer: -62, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnjjnndnnnnk. Give prob of sequence knjn.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8937.856cm?\nAnswer: 89378.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 159760.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4 - 5 + 3 + 10*h + 1. List the prime factors of l(4).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + 0.1. Let q = 5.07 + w. Let d = q + -5.00000004. Round d to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/2))\/(q\/q**3))\/((((q*q\/(q*(q**(-2)*q)\/q)*q)\/q)\/q)\/((q**(-6)*q)\/q)) assuming q is positive.\nAnswer: q**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2347 + -0.2347. Let y = 34 + -35. Sort k, -2, y, 4.\nAnswer: -2, y, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 124 = -4*s + y, 2*s - 4*y + 68 = 0. Let a be -18*(-1)\/10*s\/(-9). Solve -a = 4*g + 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2*33\/132. Factor -c + 3\/4 + t*c**2.\nAnswer: (c - 3)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 2\/612847715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2726.38, 1, 4\/9, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 24 = 3*x. Suppose -86 = -5*d + x. Suppose 0 = -y - 2 + d. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/((u*u*u**(2\/9))\/u))\/u*u)\/((u**21*u*u)\/u))**22)**(-2\/13) assuming u is positive.\nAnswer: u**(8404\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 26*i - 4 - 2*i**2 - 17*i**2 + 4.\nAnswer: -19*i**2 + 26*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 4*l**2 + l + 5. Let j be z(4). Let u = -4 + j. Solve -c = 5*b + 1, -c - 2 = -u*b + c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbhbbbhbbhbbbbhbbb. Give prob of picking 3 b.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + 4*f + 5. Let i(g) = -4*g**2 + 6*g + 8. Let k be 20\/30 + 104\/(-12). Give k*d(s) + 5*i(s).\nAnswer: 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1613059, 6452186, 14517397, 25808692, 40326071?\nAnswer: 58069534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5216 divided by -652.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151 + 151. Suppose -15*k + 730 + 710 = t. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*8\/(-72)*1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10093586864 take away 3?\nAnswer: 10093586861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, j: 8, w: 5}. Give prob of sequence gjw.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -2592915.\nAnswer: -2592915.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 3*p + 3. Let b be x(4). Let k = 19 - b. Let f = k - 2. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 20*l**2 + 16*l + 5. Let c be j(19). Let a be 2 + 96\/c + 824\/52. Suppose 4*o = a*o - 324. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44\/5 of a millimeter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 312.387 minus 617?\nAnswer: -304.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.9 (b) -2 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n. Let v = -3 + 11. Let q(w) = 11 - 11 + v*w. Determine q(p(b)).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11618408 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481, 486, 493, 502, 513?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 1, a: 2, q: 1, m: 2, t: 1}. Give prob of sequence tw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 440379 = -34*q + 213*q. What are the prime factors of q?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 40 in decreasing order.\nAnswer: 40, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3155736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091 is divided by 186?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40297981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + y**2 - 5*y**3 + 2*y + 1 + 2*y**3 as s + v*y**3 + q*y**2 + p*y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3593, 3586, 3573, 3554, 3529, 3498, 3461?\n\"Answer: -3*x**2 + 2*x + 3594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216526, 20, -1, 8 in decreasing order.\nAnswer: 20, 8, -1, -216526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77185 - -165.\nAnswer: 77350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68759143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67738 - -8*12\/96 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31.23746t?\nAnswer: 31237460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgxixxxgxikxg. Give prob of sequence ki.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 145294 times 0.0295\nAnswer: 4286.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, -43, -58?\n\"Answer: -15*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155 - 65. Suppose -o = -4*o - h. Let a = o + 95. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*x - 914 = 13*x - 170 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 691282 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -387 divided by -148.\nAnswer: 387\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*r - 2*r. Let g(v) = 4 - r + 2*v + 1 - 1. Give g(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 3*d + 6)*(12 + 18 + 4)*(5 - 4 + 1) as v + p*d and give p.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 15.99976. Round a to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -145*k**4\/4 + 40735*k**3\/4 + 1537825*k**2\/2 - 4038195*k - 282150 = 0. Calculate k.\nAnswer: -66, -2\/29, 5, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(1 - l - 1)*(-l**2 + 5*l**2 + l**2).\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16503864 divided by -6\nAnswer: 2750644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4788 + -1891. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -62. Let q = -19 + t. Suppose 5*g = -5, -y + 8*g = 3*g - 10. Solve -q + 4 = y*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + j + 0*j)*(-3*j + 5*j - 4*j) + 2 - 2 - j**2)*(-580673*j + 132*j**2 + 3 - 1 + 580670*j).\nAnswer: -396*j**4 + 9*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 14. Suppose -z*l = -9*l - 75600. Round l to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -24*t**3 - 2*t**2 - 3*t - 2. Give o(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 7*j - 6. Suppose k + b = -0*k - 1, 4*k - 5*b + 40 = 0. What is the units digit of t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4787, -19 in ascending order.\nAnswer: -19, 2, 4787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -97. Let w = 45 - f. Is (7210\/(-6) + (-4)\/w)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4 + (1 - 1 + 2)*(4 - 3 + 0) - 5 + 7 + 6)*(5 - 3 - 3 + 3 - 2 - 3 + (1 - 4 + 5)*(3 - 4 + 3))*(21 - 21 - 3*t**3).\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7502 and 204248?\nAnswer: 6331688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 0)*(-3 - 1 + 6) - 4 - 2 + 4)*(4*l - 2*l - 6*l) + (0*l + l - 2*l)*(1 - 2 + 3).\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 35.9. Let b = -35.4999 + 0.4619. Let n = m - b. Round n to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-406)\/609*4\/((-56)\/(-357))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5955 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13889947217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*m + 4710 + 5474. Let j = m + 554. What is the greatest common divisor of j and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 6. Let a be q(-6). Suppose -2*b + 9 - 5 = a. Sort b, -4, -1, 1 in descending order.\nAnswer: b, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (413 + 228 - 1089 - 226)*(y**4 - 2 + 2).\nAnswer: -674*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-24))\/(-1)*((-1071)\/(-105) + -10)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2385 + -4.2385. Let m = -194\/45 + 46\/9. Which is the nearest to 32? (a) m (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.6233ml in litres?\nAnswer: 0.5826233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1\/16*p**4 + 1\/2*p**3 + 0*p - 10*p**2 - 8 - 1\/40*p**5. Let q(a) be the second derivative of h(a). Factor q(z).\nAnswer: -3*(z - 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4797593.3 rounded to the nearest 10000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -14. Let u(q) = -2*q**2 + 2*q. Let l(c) = -4*c**2 + 4*c + 1. Let p(y) = -3*l(y) + 5*u(y). Let z(t) = 5*t**2 - 4*t - 7. Determine w*p(v) + 3*z(v).\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Suppose -112 = x*s + 5*g, 0 = -4*s + s - 5*g - 158. Does 12 divide -1*(-1)\/((-2)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -5 - 1\/(-1). Sort 0, -1, z in increasing order.\nAnswer: -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1\/5, -2, 12, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z + 12. Let g be b(4). Let k = g + -40. Let u(i) = i**3 + 9*i**2 + 3*i + 4. List the prime factors of u(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2785425, 2785419, 2785413?\nAnswer: 2785407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 307 = r, -2*r - 5*u + 467 = -156. Calculate the highest common divisor of 95 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 + 131032*q**3 + 9427392*q**2 + 226202112*q + 1809395712 = 0. What is q?\nAnswer: -65444, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**3\/2 + 6*l**2 - 5*l. Let o be r(-8). Does 13 divide 83\/6 + (-2)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 96 = -5*x - 7*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -297 + 297.2. Put c, 0.1, -3\/7, 0.3 in ascending order.\nAnswer: -3\/7, 0.1, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1680\/(-32)*10\/(-4). Let z = d + -132. Which is the second smallest value? (a) -1 (b) 1\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 418602*i**2 - 418556*i**2 + 7 - i - 4 to the form f + y*i + v*i**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**4)**(4\/33)\/(c\/c**(2\/3)*c*(c**(3\/7)*c*c)\/c) assuming c is positive.\nAnswer: c**(-694\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54.9364 and -0.71.\nAnswer: -39.004844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 - 24*y**2 - 365*y - 16. What is the hundreds digit of w(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/7)*d))**(2\/3)*(d\/d**(4\/7))\/d**2 assuming d is positive.\nAnswer: d**(-29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140.61 - 1.61. Let t = p + -152.6. Round t to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6089969 milligrams?\nAnswer: 0.0000006089969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/6, -3\/5, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a microgram in nanograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 + -4) - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 2, -12\/245, 0.0259?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + (sqrt(864)*1 - sqrt(864)))\/(sqrt(36)*-1))\/((2*sqrt(162) - sqrt(162) - sqrt(162)) + 2*(sqrt(2) + sqrt(2)*-3)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -3*l**7\/7 + 10*l**3\/3 - 14*l. What is the second derivative of d(x) wrt x?\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3923659972.\nAnswer: 2, 2713, 361561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -3*i - 112. Suppose 0 = -4*q + 5*s + 23, -5*q - 5*s - i = -q. Solve 0 = -m - 0*b - q*b, -b = -m + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a factor of 306570125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(54\/2106).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + ((-2 + sqrt(171)*2 - sqrt(171)) + sqrt(171) + 2 + (sqrt(171) - (0 + sqrt(171))) + sqrt(171))*-2*2)*6)**2.\nAnswer: 886468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a centimeter in micrometers?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36000 and 18680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ab1a6 (base 15) in base 12?\nAnswer: -1b66a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 322 + -312. Let d = 2 - 2. Let l(v) = -v**2 - v + 2. Let a be l(d). What is the greatest common factor of a and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -13. Let j = 2 - 2. Suppose -2*u - l + 5*l + 72 = j, 0 = 4*u + f*l - 194. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -2*b**6\/15 + 5*b**2 + 10*b. Differentiate x(g) wrt g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -3. Let r(m) = -4 + 0*m**3 + 4*m**2 + 2 - 1 - m**z. Let x be r(3). Solve -5*v = -2*j + x, 4*v + 9 = -0*j + 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1555\/3)\/(64\/1152)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3632, 7266, 10900, 14534?\n\"Answer: 3634*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.777 rounded to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -0.19, 0.1, 10?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5 (c) -6 (d) -3 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 124. Suppose 0 = -12*p + r + 22. Suppose 47 = 3*j - 5*n, -p*n + 5*n = -2*j + 38. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9600.65*-7.6.\nAnswer: 72964.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*k - 13 - 39, 4*k - 88 = 2*n. Suppose 281*l = 265*l + 32. Suppose -l*r + k = 4*h, 5*h + r + 2*r - 27 = 0. Solve 18 = -5*q + h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = y - 2, -5*k = y - 3 + 8. Is 0 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3495 = q, q + 1871 = 2*j + 116. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 22*a + 160. Calculate t(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 + (15 - (69 - 59)) + -34?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23114 in -18, -0.05, 4, -79?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o - 45. Let u be v(6). Solve -u*r = -4*g + 3, -4*g + g = 3*r + 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/180*3)\/((-752)\/360 - -2). Suppose 7\/6*k**3 + c*k**2 + 29\/6*k + 5\/3 - 1\/6*k**4 = 0. What is k?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 35 - 62 - 2*b - 11*b**2 - b**3 - b. Let x be u(-11). Let y(z) = 5*z**2 - 4*z - 7. What are the prime factors of y(x)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3177.73 (b) 5\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = 1 + 2 - 3. Which is the closest to -2\/5? (a) -2 (b) m (c) -171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u - 2*u**3 + 3*u + (3*u**2 - u**2 - 5*u**2)*(4*u - 2*u - u) - 1 + 1 - u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 36*s - 312. Let r be b(21). Let j(t) be the first derivative of -6*t**2 + 16*t + 1 - 4\/3*t**r. Factor j(o).\nAnswer: -4*(o - 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.20077. Round v to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/11 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 2*m**2 + m. Let n be l(1). Solve n = 3*o + o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*((sqrt(1296) + sqrt(1296)*-4)\/(4*(sqrt(8) - ((sqrt(8) + sqrt(8) + sqrt(72)\/sqrt(9) - sqrt(8)) + sqrt(8))) + sqrt(8)) + 2).\nAnswer: -2 + 27*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -4, 5 in decreasing order.\nAnswer: 5, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 324 + -322. Solve -29*x + 28*x + r = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**7\/42 + x**4\/24 - x**3\/6 - 7*x**2. Let n(t) be the first derivative of l(t). What are the prime factors of n(1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6458*i**3 - 2*i**2 - 4013. Let g(x) = 6458*x**3 + 3*x**2 + 4036. Let j(s) = -2*g(s) - 3*q(s). Differentiate j(c) with respect to c.\nAnswer: 19374*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*a**2 + 251*a**2 + 926*a + 22*a**2 + 2 + 4 + 43*a**2.\nAnswer: 2*(a + 3)*(154*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96532287 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: Multiply -1 and 0.69.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64, -171, -344, -613, -1008, -1559, -2296?\n\"Answer: -5*d**3 - 3*d**2 - 63*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r - 2*r + 0*r**3 - r**3. Suppose 0 = -6*c - 232*c - 476. What is l(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -22*q**2 + 192*q + 6. What is i(9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 779\/369 - 1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 195 = -3*n, 2*f - 46 - 80 = 2*n. Let u = n + 178. Suppose -m - u = -2*h, -5*h + 0*m + 280 = 2*m. What is the remainder when h is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 78 = 54 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4\/3)*p)**(-11\/3)\/(p**1\/p**(-14)) assuming p is positive.\nAnswer: p**(-245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 12 = -s. Factor -4*v**3 + 5*v**s - 11*v**2 - 2*v**2.\nAnswer: -4*v**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49 * -121124.\nAnswer: -59350.76","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1666243660 - d**3 + 1666243660.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -931*k + 1202*k - 10620*k to the form i + l*k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 18 = 7*b. Suppose 702 = b*h + 44. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnlnnxlxlnlnlxnxnxln. Give prob of sequence xx.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-11 - (53 - 14)) + 2 + 7?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32\/(-8))\/(-2))\/(4\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + q - 21, 2*y = -0*y + 3*q + 21. Suppose -3*w - 162 = -y*w. Suppose -3*i - i + 2*t = -w, -4*t = 4. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 439822 - 439779 = -4*v, 0 = 4*v + 3*g + 23 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -6*v**3 - 7*v**2 + 98*v - 85 = 0.\nAnswer: -5, 1, 17\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*l**4 + 8\/7*l**2 + 0*l + 0 + 8\/7*l**3.\nAnswer: 2*l**2*(l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -4\/7, 60, -0.4, -3\/2 in increasing order.\nAnswer: -3\/2, -4\/7, -0.4, -2\/13, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 3*o**2 - 5*o - 4. Let a be f(-6). Suppose -a = -4*g + 18. Let w = 6252 - 6244. What is the remainder when g is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 1\/3*w**3 - 1\/20*w**5 - w**2 - 1\/6*w**4 - 1\/180*w**6 + 0*w + 0. Let r(z) be the first derivative of u(z). Factor r(f).\nAnswer: -2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 49*t - 42*t to u + f*t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 116*o - 145. What is the units digit of d(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 + 70 - 71)*(66*z - 123*z + 14 + 66*z) in the form g + v*z and give g.\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swaaaaysaywasaw. Give prob of sequence ysw.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 11 - 10) + 10 + -1 + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -26*a**2 - 6463*a - 10322. Calculate t(-247).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/3)\/(38\/57). Suppose l - 2 = 2*h, 5*l + a*h - h + 32 = 0. Let n(g) = -g**2 - 7*g + 1. What is n(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 11*g + 2*g - g - 7*g - 34*g**2 to b + n*g**2 + m*g and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {q: 14, f: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 4148874?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/((-65)\/20) - 1. Which is the nearest to o? (a) 3 (b) -2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 6. Let s(o) = 7*o - 1. Let t(k) = 9*k + 13*k + k - 15*k - 1. Determine g*t(m) + 5*s(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203324215 (base 6) to base 2.\nAnswer: -1101011100110110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 38. Let y = 68 + -69. Let q = 5 - 9. What is the closest to y in t, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 3. Let v be k(-3). Suppose -5 = -5*o, -2*g - 2*o = -4*g + 4. Suppose -p = -g - v. Solve 3*a - 12 = n, -p*a + 0*a + 3*n = -18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 - 5*h**2 + 0*h**2 - 3*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 4997732*h - 74965755.\nAnswer: -(h + 15)*(h + 4997717)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 117\/(-27))\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -1, -5, 0.1, 2\/9, -17, 62 in descending order.\nAnswer: 72, 62, 2\/9, 0.1, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and -2561.\nAnswer: -6658.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/4 - -4)\/(1183\/26 + -46)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -250, -502, -754, -1006, -1258?\n\"Answer: -252*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m**3 + 70*m**3 - 42*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -12\/5 (b) -2.8 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w + w**3 - 3*w - 4*w**2 + 2 + 0*w**2. Let p be x(5). Suppose 0 = r + p - 8. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1554 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m + 39*m = -4*w - 26*m - 12, 4*m = 3*w - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 10, 0 = -2*f - 24*a + 27*a + 5362. What is the highest common factor of f and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 606 + -38176\/63. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 9. Suppose 4*d = 5*s + a - 4, 2*d + 5*s = -12. Let w(m) = -4*m**3 + m**2 + m. Give w(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 11. Let r be (6\/4)\/(b\/(-60)). Let f = r - 14. What is the smallest value in 0.1, 1\/6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 2*n**2 - n - 2. Suppose -6*c + 28 = -2*c. Let a = 11 - c. Is o(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - -0.06. Let j = -5.018 + 4.918. Is j > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n**2 + 32*n - 19. Let z(v) = -2*v**2 - 1. Let t(g) = -3*g**2 - 15*g + 5. Let l(d) = -t(d) + 4*z(d). Let x(i) = -9*l(i) + 4*p(i). Determine x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5254 + -2?\nAnswer: -5256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16379 - 218*m + 16379)*(-2*m**2 + 3*m**2 + 0*m**2).\nAnswer: -218*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 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: Calculate the common denominator of 3208\/(-17024) + (50\/(-42) - (-12)\/9) and -113\/28.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 7*p - 12*p = -3, 0 = 3*l + 4*p + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + g + 2*g = -19, 4*g = -3*p - 8. Suppose -p*o + 0*o = -8. Solve -y + s - 7 = 0, o*y + 2*s + 0*s + 6 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/3, -15\/8, 0.2, 0, 3, -35\/12, 5?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 3*h - 2*h**3 + (-1 - 2*h + 1)*(-3*h + 3*h + h**2) + (5*h - 5*h + 4*h)*(0*h - h + 0 + 2)*(-13 + 14*h + 13).\nAnswer: -60*h**3 + 112*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19\/6, -0.1, 2\/57, 1?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + 95. Suppose 4*p = 3*z + m, -2*p - p - 3*z = -81. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**3 + 21 + 17 - 13*t**3 - 12.\nAnswer: -5*t**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2. Let p(o) = 204*o**2 + o + 1. Let w be p(-1). Let k(x) = w*x - 99*x - 2 - 104*x. Determine z(k(r)).\nAnswer: -2*r**2 + 8*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476984735.\nAnswer: 3, 5, 17, 229, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v**3 + 1\/150*v**5 + 0 + 23*v**2 + 0*v - 1\/20*v**4. Find z such that b(z) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3118.12052 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 149\/28020 and 71\/4315080.\nAnswer: 4315080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**6*a**(-2\/17))\/(a**(2\/17)*a*((a*a**7\/a*a)\/a*a)\/a))**(2\/3))**(-2\/19) assuming a is positive.\nAnswer: a**(8\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -5812583010?\nAnswer: 5812583009.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + 4. Calculate the least common multiple of ((-425)\/(-170))\/(5\/24) and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 1\/3*q**6 - 1\/4*q**4 + 0*q**2 + 1\/5*q**5 + 0*q + 0*q**3 + 26. Solve t(w) = 0 for w.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 62285.\nAnswer: -9\/62285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1012.\nAnswer: 3\/1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/2 + 353*q**3\/2 + 13405*q**2\/2 - 95309*q\/2 - 54180 = 0. What is q?\nAnswer: -40, -1, 7, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppddpgpppg. Give prob of sequence ddg.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**4 - 4*n - 5*n + 2*n)*((5 - 4 - 2)*(1 - 4 + 0) - 5 + 0 + 4) to q*n**3 + m*n**4 + h + b*n**2 + i*n and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 2696193?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -94788*y - 283991. Calculate p(-3).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 - 114. Suppose 5*o - 4*o = -3*z + c, -3*o - 5*z + 103 = 0. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iittttti. What is prob of picking 3 i and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 8\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*s - 9, 7 = 5*c - 5*s - 8. Let y(i) be the second derivative of c*i**2 + 6*i + 1\/2*i**3 + 0. Let q(f) = -3*f**2. Calculate y(q(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 4*d**2 + 2*d - 1. Let c be w(3). Let u be 5\/((2 + 2)\/c). What is the tens digit of (u - 0)*15\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 9*i**7\/70 + 3*i**5\/5 + 25*i**2. Find the third derivative of h(q) wrt q.\nAnswer: 648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 23 = 4*s - 5*u, -10 = 5*s - 5*u. What is the remainder when 22*s\/(-2 - 3) is divided by 7 - (2 + 2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzo when three letters picked without replacement from {r: 1, j: 1, z: 1, o: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/60 + 11*o**4\/24 + o**3\/6 + 4*o**2. Let p be x(10). Let q = p - -12. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:06 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975*k**2 + 5*k**3 - 2*k + 3*k - 974*k**2 - 50008.\nAnswer: 5*k**3 + k**2 + k - 50008","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*p**2 + 14*p - 9*p - 7*p)*(4 - 4 - 3) + 40*p + p**2 + 1 + 1 - 37*p to t*p + h*p**2 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - k = -15 + 3, -4*o + 28 = -3*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:48 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:32 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 3*t - 54 + 58 - 2*t. Suppose 23 = 4*x + 5*v + 3, -16 = 3*x - 4*v. Calculate z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2068 + -4127\/2. Which is the nearest to -1\/2? (a) h (b) 2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10669*h - 1100*h + 2602*h - h**2.\nAnswer: -h**2 + 12171*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-8)\/(-21) - (-4)\/14). Let d be j - (6 - 10 - 111\/1). What is the greatest common factor of d and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -2 (c) 4 (d) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10092 or -10085?\nAnswer: -10092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + ((-2)\/(-8) - (-1008)\/320)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2240)*1 + sqrt(35) + ((sqrt(315)*-1)\/sqrt(9) - sqrt(35)) + sqrt(35))\/(-3*sqrt(45)\/sqrt(81)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6138, 6691, 7614, 8907, 10570, 12603, 15006?\n\"Answer: 185*o**2 - 2*o + 5955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 2, t: 6}. Give prob of sequence etet.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8135418?\nAnswer: 2, 3, 17, 47, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 23*s + 19. Let c be f(-30). Let u = c - 218. Solve -2*z = u - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1978 - 6505.\nAnswer: -8483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 1436, 3357, 6046, 9503?\nAnswer: 13728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 202960665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -35. What is the biggest value in z, -1\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -36*u + 34*u + 4*b, b - 15 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 6)*(-4*s + 5*s + s) - 47*s + 20*s + 91*s + (-4 + 1 + 4)*(s + 2*s - s).\nAnswer: 70*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 9) to base 5.\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4)*(4*w - 4*w + w) + 4 - 2*w - 4 - 5*w - 2 + 2 + w - 2*w + 0*w + (0 + 1 + 2)*(0*w + 21*w + 0*w) to t*w + u and give t.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(1 - 4 + 6)*(4*w**2 - 6*w**2 - 4*w**2)*(-29*w**2 + 25*w**2 + 10*w + w).\nAnswer: 144*w**4 - 396*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 620029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 99872964 divided by 566?\nAnswer: 176454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/160419 and 99\/14.\nAnswer: 320838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 233, 0.5, 3, 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, k: 2}. What is prob of sequence kr?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 13*t + 58. Let i(y) = -t*y + y + y**3 - 8 - 5*y + 6*y - 9*y**2. Let n = 24 - 14. Give i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905812939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 k when three letters picked without replacement from dkykykddkkykckkkpkd.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - 26. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 0*d + 35621*d**2 - 35664*d**2 - 11 + 8.\nAnswer: -43*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i + 5. What is o(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5\/4, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 7) in base 10?\nAnswer: -399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 4 + -3 - -1. Suppose -13 = -5*o - r*c, 3*c + 6 = c. Suppose -3 = -o*d + 17. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367*545971.\nAnswer: 200371357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -15.\nAnswer: -15, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -daa72 + -c?\nAnswer: -daa7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*g + 21, 0 = -2*b + 14*g - 16*g + 18. Is 103012\/42 - (b\/6)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65 and -50516.\nAnswer: 3283540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 6. Let k be z(-14). Suppose -k = -6*w + 28. What is the remainder when 12 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u*u**(-4\/15)\/u*u*u)\/u))\/(u\/(u\/u**(6\/5)*u)) assuming u is positive.\nAnswer: u**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o + 3*b = 17*o + 16242400, 0 = -3*o + 4*b + 4429731. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 49*j + 1. Let w be h(-2). Let u = 175 + w. Is u a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 32. Suppose j = -4*f + 20 + 16. Let k(p) = -p**2 + 12*p - 5. Let w(u) = -2*u**2 + 25*u - 11. Let y(o) = 7*k(o) - 3*w(o). Give y(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 10. Let f = -2 + t. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -15*k**3 + 105*k + 70. Let m(x) = 2*x**3 - 15*x - 10. Suppose 19*q + 40 = 17*q. Let z(s) = q*m(s) - 3*g(s). Factor z(t).\nAnswer: 5*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(-2*sqrt(72) + -2*sqrt(200) + ((sqrt(162) + 1)*5 - -4*(sqrt(162) - (sqrt(162) + 1))))**2.\nAnswer: 156*sqrt(2) + 2034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202739 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -6. Let y = -16 + 11. Put 3, y, a in increasing order.\nAnswer: y, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -46, -121, -268, -511, -874, -1381, -2056?\nAnswer: -2923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6)*((-82035)\/10 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1493 or -39243?\nAnswer: -39243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*h + 70 = 0, -2*d + 78 + 7 = -h. Factor d*n - 8*n + 5*n**2 - n**2.\nAnswer: 4*n*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000007 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4133.98183 - -0.01817. Let u = -4134.011092 + r. Let a = -0.011 - u. What is a rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 944.1995 weeks?\nAnswer: 571051857600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12420 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -9524949*c + 9524950*c + 6*c**3 - 88 - 5*c**3 in the form h + w*c + m*c**2 + o*c**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1782 and 16\/99.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1925446, 3850992, 5776538, 7702084?\n\"Answer: 1925546*h - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from qoooolrqooqclrorboco?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Find the common denominator of ((-9)\/22)\/(m\/(-16)) and 97\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 0.3\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.916987um to meters.\nAnswer: 0.000001916987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 276 = 5*g. Suppose -2*y = -6*y + g. What is the remainder when y is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aapo when four letters picked without replacement from aaaaaaaaaaaaapoaaa?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 != 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 38, 48, 62, 80, 102?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) 782.7 (c) 144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 83 = -4*f - q, -3*f = -2*q - 250. Suppose 8*b - 11*b = -f. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6233675.\nAnswer: 5, 7, 179, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 1 a when three letters picked without replacement from {a: 3, v: 2, m: 1, l: 2, j: 6}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16*p**2 - 3*p - 10. Let i be d(6). Let m = 551 - i. Solve -4*f + 5 = -m, -f + 6 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 5*y - 51, -3*y = 6*c - 0*y + 21 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-110)\/(-77))*31\/((-7161)\/(-7524)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19.3, -1, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2340 and 59\/18946980?\nAnswer: 18946980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1004054 and 22032?\nAnswer: 650626992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3\/2 (b) -2\/9301 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2070.5253 + 0.4747. Let k = i - 1945.3. What is k rounded to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*k + 336. Let m = k + 497\/5. Factor 0 + m*u**2 - 2\/5*u.\nAnswer: 2*u*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -2.4. Let a = -3 + v. Let u = -256.1 + 256. What is the biggest value in a, -0.04, u?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552 plus -207.2?\nAnswer: -759.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147053\/35 - 29195\/7. Factor z*k**3 + 98\/5*k**4 + 64\/5*k**2 + 0 + 8\/5*k.\nAnswer: 2*k*(k + 1)*(7*k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1188\/(-330))\/((-648)\/(-18000))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 21*u + 256, u + 3*k + 207 - 192 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 443, 667, 891?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -5, -3\/4.\nAnswer: -5, -3\/4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 4106 - 6501 + 29 + 1758 - 4*g**4 - 420*g + 10*g**3 + 415*g**2.\nAnswer: -5*(g - 7)**2*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 2, 8962, -2\/505?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*h**3 - 139*h**3 - 103*h**3 - 1 - 2 as o + x*h + n*h**2 + j*h**3 and give j.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-37 - (26 + 0))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q*z**4 - 13*q*z**3 - 3*q*z**2 - 3*q*z + 37*z**4 + 2*z**3 - z**2 + 3*z wrt z?\nAnswer: -24*q*z - 78*q + 888*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2768506, -2769024, -2769542, -2770060, -2770578?\nAnswer: -2771096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3142435651 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 18*b**2 + 30535*b - 122151. Determine a(4).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11835026*p**5 - 170829*p - 13 wrt p.\nAnswer: -236700520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q. Let b(h) be the third derivative of 7*h**4\/3 + 577*h**2. Give b(t(d)).\nAnswer: -336*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 4 - ((-25 - -21) + (6 - -6))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1233131231 (base 5) to base 11\nAnswer: 1783647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at least as big as -46\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -246650694?\nAnswer: -1\/41108449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 200009304 divided by -11?\nAnswer: -18182664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.448, -2\/3, 3?\nAnswer: 0.448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56481950 and 5950.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357 - -356.9. What is the third biggest value in -4, -5\/2, f, 2\/7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**8*x**(1\/4))\/((x*x**(-1)*x)\/(x\/((x*(x\/(x\/(x\/x**(2\/15))*x))\/x)\/x))) assuming x is positive.\nAnswer: x**(623\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspsbpbspsbpbsbssspp. What is prob of picking 1 b and 1 p?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*y + 351 = -160 - 167 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/60 + i**5\/60 - i**4\/24 + i**3\/3 - 29*i**2. Let k be p(2). Solve -2*o + 3*b - 16 = -4*o, 0 = 5*b - k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -14934*b + 1134968. What is a(76)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26465 divided by 5293.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5) - sqrt(15)\/sqrt(3)) - (sqrt(45) + -1).\nAnswer: -3*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, -4, 1, 32508.\nAnswer: -4, 1, 151, 32508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 0 - 1\/6*i**3 - i**2 + 1\/12*i**4 - i. What are the prime factors of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -508 and -0.017.\nAnswer: 8.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221348?\nAnswer: 2, 55337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/32 and -99\/11080.\nAnswer: 44320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 496*h\/7 - 494\/7.\nAnswer: -2*(h - 247)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 0 + 3*l**2 - 7 + 3 - l**2 + l. Let t be n(5). Suppose -3*q = -j - t - 171, j - 74 = -q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106306 divided by -2\nAnswer: 53153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u - 288. Suppose 3*h + 4*p - 15 = 0, -4*h - 23 = 4*p - 47. What is the greatest common factor of h and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.5 (c) -11 (d) -60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-148)\/(-20) + (-2)\/5. Suppose 2*m = -4*u + 22, -4*u = -2*m - 2*m - 4. Let k = w - m. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*2*sqrt(228) - -2*((1*sqrt(228) - sqrt(228)) + sqrt(228)))\/(sqrt(300)*1 - 1*sqrt(1200)) + 0)*3)**2.\nAnswer: 24624\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -4\/285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 + 658415484183?\nAnswer: 658415484304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*b**3 + 1018*b**3 - 10*b**3.\nAnswer: 892*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 472 = -123*c. Let d(z) = 12*z + 6. What is d(c)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409016?\nAnswer: 2, 29, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89728603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -22.\nAnswer: -31\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 5 = -2*r, -4*r - 2 = -3*a. Solve 0*x + a*x + 10 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 129a33?\nAnswer: 129a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 0*(-1)\/(-3). Let z = d - 4. Let c = 3.01 + -0.01. Put c, z, 5 in ascending order.\nAnswer: z, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*w - 187*w + 395*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/(-9)*161748\/(-14). Suppose 0 = -2*x - 10*x + c. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 663.99 and 0.0414?\nAnswer: 27.489186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(4\/(-16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329790044?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + 1357 - 3317. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**5 - 125820*c**4 + 790904230*c**3 + 7919488700*c**2 + 13465761405*c + 6337302760 = 0.\nAnswer: -8, -1, 12587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8248342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1) + (65 - 4). Suppose 4*y + 4*i = h, 4*y - 4*i + 28 = 104. Calculate the remainder when y is divided by 3 + (-1 - -4) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12388 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -274*d*k**4 + 602*d*k**2 + 36209*d + 3*k wrt k.\nAnswer: -3288*d*k**2 + 1204*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.56 and 0.4.\nAnswer: 4.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4, -p + 17 = w + 6. Solve p - 25 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 8*x**2 + 64*x - 2 + 1\/3*x**3. What is a in n(a) = 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0*z + 3\/2*z**3 - 1\/8*z**4 + 0 + 0*z**5 + 53\/210*z**7 + 65*z**2 + 0*z**6. Find the second derivative of x(y) wrt y.\nAnswer: 636*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*s - 10. Suppose 40 = s*c - 4*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4701, -9485, -14275, -19071?\n\"Answer: -3*v**2 - 4775*v + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(14\/5)*m*m*m\/(m\/(m*m*m\/m**13))*m*m assuming m is positive.\nAnswer: m**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -69306 <= -69307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 160146 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53032551*a**4 + 2*a**2 - 114210*a + 6 wrt a?\nAnswer: 1272781224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-36) - (0\/3 + 60\/(-80))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.6 - -8. Let v = -0.297 - -1.507. Let w = y - v. Round w to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19222 - -19225. What is the fourth biggest value in 5, -0.02, 2, -28, y?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*p**3 - 267*p**3 - 164*p**3 - 337*p**3.\nAnswer: -880*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/40 - 2*w**5\/15 + w**4\/12 - 5*w**3\/2 - 7*w**2 - 2. Find the second derivative of n(i) wrt i.\nAnswer: -18*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Suppose 2 = -3*m + o, 2*o + 3 + 1 = -2*m. Let i = a + m. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017057411 to 5 dps.\nAnswer: 0.01706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 592038*((-4)\/176)\/(-1). Let l = w - 13453. What is the common denominator of l and 38\/5*(-195)\/728?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 3. Let y = -2 - d. What is the nearest to -0.1 in y, -4, -5\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 times 3044\nAnswer: 517.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12337\/112 + -507\/112. Let l = -311 - -417. Let k = f - l. Which is the closest to -5? (a) 4 (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6070029571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -273059103 - -1?\nAnswer: -273059102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -29\/7 (b) -0.2 (c) -3\/5 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**4\/24 + 7*g**3\/3 + 3*g**2. What is the smallest common multiple of 8\/36 + (320\/(-9))\/(-2) and t(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 3*i**2 + i + 6. Let f be n(-4). What is the smallest common multiple of 6 and f\/(2\/(16\/6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -59*t. Let f(b) = -b**2 + 4*b + 1096. Determine f(z(l)).\nAnswer: -3481*l**2 - 236*l + 1096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2007311?\nAnswer: 79, 25409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**2 - 3*h + 3. Let a(i) = -65*i**2 - 40*i + 40. What is 3*a(t) - 40*q(t)?\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 4, f: 2, k: 1, b: 3, v: 4}. What is prob of picking 1 k and 1 v?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 3.5 (b) 7 (c) 0.5 (d) 4 (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2. Let m(g) be the first derivative of -25*g**2 + 3 - 3*g + 3*g + 24*g**2. What is m(f(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 174 and 0.5?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 65*g**4 + 1710*g**3 + 455*g**2 - 1710*g - 520 = 0. What is g?\nAnswer: -26, -1, -4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3)*1 + sqrt(3)*1 + 5)**2 + ((sqrt(960)*-2)\/sqrt(5))**2 + 1.\nAnswer: 24*sqrt(3) + 817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2572237*j + 1611*j**2 + 2572237*j + (1 + 1 - 4)*(0*j**2 + 2*j**2 - j**2))*(3 + 2 + 4) to v + n*j**2 + t*j and give n.\nAnswer: 14481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:39 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*w - 28280 = -174*w. Is 202 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 70 = -155. Suppose -63*v - 7188 = -12712 - 7706. Calculate the greatest common factor of j and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 + 0*l**5 - l**5 + (1 - 3 + 3)*(2*l**5 - l**5 - 2*l**5) + 0*l**5 - 6*l**5 + 4*l**5 + 50*l**5 - 32*l**5 + 171*l**5.\nAnswer: 188*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 3*y - 55, 1520 = 10*a + 37*y + 1625 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2150147 is divided by 309.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 8*c + 4. Let n be d(8). Suppose n*p - 12 = -0*p. Solve 0 = -0*l + p*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 165\/25)\/((-1)\/(-5)). Suppose -2*w + 67 + h = 0. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*i**2 - 106*i + 106*i)*(2 - 8 + 2)*(-1 - 3 + 6)*(-5 + 5 + 6*i).\nAnswer: 1056*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 137766671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w)**(-34\/5)*w**(1\/5)\/((w*w*w**(-2\/9)*w*w*w*w)\/w)*(w\/((w\/((w\/(w*w**(-3\/5)))\/w)*w)\/w)*w*w**(-2\/9)*w*w)**(-36) assuming w is positive.\nAnswer: w**(-4058\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 69187128 and 8.\nAnswer: 69187136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4636.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1107659338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jby when three letters picked without replacement from {b: 1, y: 1, j: 1, t: 1, o: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/3)\/p)\/p*p**2)\/((p\/p**(-1\/4))\/p*p**1))\/((p\/p**(-1\/4))**34\/(p\/(p*p**(-2\/3))*((p*p**2)\/p)\/p)) assuming p is positive.\nAnswer: p**(-497\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4817499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a factor of 6958233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let u(b) = -2*b + 1. Let c(p) = 2*q(p) + 2*u(p). Let y = -6 - -3. Let s be c(y). What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.903 + 0.095. Let y = -0.012 - h. Let a = y + 0.01. Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let y be j(5). Let r = 28 - y. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -2*t + t**3 + 5\/24*t**4 + 1\/120*t**6 - 7\/60*t**5 + 23\/2*t**2 - 22. Let d(z) be the second derivative of m(z). What is d(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 474*q + 1\/2*q**4 - 781*q**2 + 2817\/2 + 154*q**3 = 0?\nAnswer: -313, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 13*x**2 + 8260*x - 82315. Give p(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187409 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7950 or 2\/11?\nAnswer: -7950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -8*c + 2992. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2378881?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-4) + (-1)\/4. Let z = -3 + 5. Suppose -9*p + 20 = z. Solve 0 = -u*c - 3*j + p*j + 20, 3*c = 4*j - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -22, -4\/21, -8?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-637)\/(-42)*(-2304)\/(-69888)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -649*r**3 + 18*r**2 + 5*r + 2. Does 47 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -4, -1\/3, -14.62?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (85\/(-68))\/(1\/(-8)). Suppose v - 1 = 3*z. Solve z*y + 4*m - 29 = 0, m = 1 + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose 3*w + 4 = -g + w, -4*g + 3*w + 6 = 0. Suppose g = 3*k - j*k - 8. Calculate the remainder when 29 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3 - 6*s**2 - 18*s - 10 = 0. What is s?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 1 - 1)*(-u + u - 2*u)*(6 - 6 + 7).\nAnswer: -70*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000075819761 to 6 dps.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(3) + (sqrt(3) - sqrt(36)\/(sqrt(12)*-1)) - (2 + sqrt(21)\/sqrt(7) + sqrt(3))).\nAnswer: -12 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 50*r**3 + 10*r**2 + 4*r. Let a(d) = 49*d**3 + 10*d**2 + 3*d. Let q(g) = -4*a(g) + 3*j(g). What is the third derivative of q(l) wrt l?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {t: 1, w: 2, u: 3, q: 6}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*h + 36, -2*x - 2*x - 48 = 4*h. Let z be (0 + 0)*6\/h. Suppose z = 3*n - 139 + 52. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e - 2eb89?\nAnswer: -2eb6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2066922\/(-1560))\/803)\/(12\/(-10)*1).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 9 + 3 = 0. Let h be (1 + -1)\/(-5 - w - -2). Solve h = 4*u - 5*m - 9, -2*u + 0*m = -3*m - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25347*w**2 + 19164*w**2 - 15299*w**2.\nAnswer: 29212*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 2103117133.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(231) - -1*sqrt(231))\/sqrt(7))\/(sqrt(27)\/(sqrt(9) - (sqrt(90) - (sqrt(90)*-2 - sqrt(90)))\/sqrt(10))))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 2*r - 3. Let f(l) = -4*l**3 - 2*l**2 - 10*l + 38. Let h(g) = f(g) + 5*w(g). What is h(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 19 = 2*p - 95, -283 = -5*i - 4*p. Let g be (i\/(-15))\/(4\/12). What is the units digit of (g - -20)\/((-3)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11104.48ml to litres.\nAnswer: 11.10448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -32 + u + 3*u**2 - 5*u**2 + 3*u**2 + 31. Let s(w) be the second derivative of -w**4\/3 + 2*w**2 + w. Calculate s(n) + 2*t(n).\nAnswer: -2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 7*v**2 - 8*v + 4. Let y be s(8). Suppose 8 = -y*g - 16. Let m(j) = -3*j. List the prime factors of m(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 8. Let s be n(4). Suppose 5*c - 12 - 13 = s. Suppose -5*m = 25, 0*b - c*b + m + 25 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-25) - (-24)\/10. Let m = -1 - y. Let s(u) = -80*u + 7. Is s(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 11 (c) -5 (d) -11036 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001458902 rounded to seven decimal places?\nAnswer: -0.0001459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + -12 - (-1 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/6116 and -35\/37532?\nAnswer: 5216948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-171*j**2 + 115*j**2 - 106*j**2)*(-305*j**2 + 621*j**2 - 312*j**2) to the form q*j + a + w*j**4 + d*j**3 + y*j**2 and give w.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -4fa15?\nAnswer: -4fa12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 0.2. Let f = -306.2 - -306.1. Sort f, -24, l in ascending order.\nAnswer: -24, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -48, -31, 26, 135, 308?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 7*z**2 + 5. Calculate the least common multiple of i(7) and (-9)\/((-27)\/12) + 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*s + 315. Let f be 7\/(-21) - s\/6. Calculate the greatest common divisor of f and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 2 (c) -2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177914 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4 or -20\/1527?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -23\/2, 120, 5, 0.5.\nAnswer: -23\/2, 0.5, 1, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7425\/(-330)*(9\/5 - 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 4240, 5, 0.5?\nAnswer: 4240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwawwwawaa. What is prob of picking 1 a and 3 w?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, p: 13}. What is prob of sequence pf?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 21. Which is the nearest to 0? (a) s (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2423?\nAnswer: 3\/2423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 7*k**2 + 26*k + 13. Let q be n(-10). Calculate the greatest common factor of 159 and q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4573 - 4573.05231. What is v rounded to 3 dps?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783140.3 rounded to the nearest one hundred?\nAnswer: 783100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1106548*l**2 + 17935989 wrt l?\nAnswer: 2213096*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12)*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 68 = 2*j. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -0.023.\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 705859536 to the power of 1\/3, to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 332093, 332098, 332105, 332114, 332125?\n\"Answer: q**2 + 2*q + 332090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(448) - sqrt(448))**2 + -3*sqrt(448)*-1.\nAnswer: 4 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -444 - -445. Which is the nearest to f? (a) -1 (b) -0.3 (c) -0.4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -14, -1, -3\/2, -1\/2, -4978?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2040)\/(-35) + (-6)\/21 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from rxooppxbrppo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 396, 816, 1260, 1728, 2220, 2736?\n\"Answer: 12*a**2 + 384*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6359912479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 3*l - 0*r - 1, -2*l = 5*r - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16091 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -45*l**2 - 70*l = 0?\nAnswer: -14\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153412.\nAnswer: 2, 7, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*l - 38*l**5 + 8*l + 23*l - 12*l wrt l?\nAnswer: -760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + d**2 - d + 3. Let t be s(0). Let w be t\/6*-2 - -8. Let o = -2 + w. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68003096*n**3*w**2 - 4*n*w + 37*w**2 + 671293*w + 2 wrt n.\nAnswer: 204009288*n**2*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2. Let r(z) be the second derivative of -z**6\/720 - z**4\/3 - 6*z. Let u(o) be the third derivative of r(o). What is l(u(x))?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at most as big as 284219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 3*l**2)*(-4*l**3 + l - l) + l**5 - 2*l**5 - l**5.\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428545 is divided by 812.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 10*q + 2012. Let c be (-24)\/(-32) + q\/(-4). Let s = -86 - c. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 1) + 1*6. Suppose -o*y + 1297 - 451 = 0. List the prime factors of y.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3\/4 + 7*n**2\/2 + 31*n\/4 + 4 = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*26 + (-2 - 0). Let q(i) = i**2 - i - 4. Let s(n) = 2*n + 12. Let c be s(-8). Let p be q(c). Calculate the highest common factor of h and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 31 + 7*q + 2*q**2 + 33 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.5, 0.03, -1\/9, -3\/7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 6)*(w - 5*w + 0*w) + (3*w - w - 3*w)*(-9 + 1 + 6) as j + i*w and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - 3*v**2 - 7*v)*(0 - 2*v + 0 + 3*v - 4*v - v - 2*v - 2*v + 6*v + (-4*v - v + 3*v)*(-2 - 2 + 6) + 2*v + v - 2*v).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2839408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z**3 - 8*z**2 + 86. Let x(i) = -i**3 + i**2. Calculate -r(l) - 8*x(l).\nAnswer: -4*l**3 - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.67 (c) -0.1 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343987214.\nAnswer: 2, 17, 101, 109, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 5. Let k = -5 + 7. Factor 4*g + z*g**2 - 3*g + g + g**3 - k - g**4 - 3*g.\nAnswer: -(g - 2)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 2. Let i be w(-2). Let o(v) = -v + 4. Let y be o(2). Let r(p) = -p - i + 0 + y*p. What is r(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3, -0.5, 0.08, 22?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 5*y + 21. Let s(r) = -2*r**2 - 6*r + 20. Suppose 5*i = 3*j - 10, 2*i + 1309 - 1286 = 5*j. What is j*b(k) - 4*s(k)?\nAnswer: -2*k**2 - k + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 215489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 11*k + 6*k + 5, -4 = 4*u - k. Let j be 20 - 8 - 3408\/288. Sort -0.2, j, u in increasing order.\nAnswer: u, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + 2*v**3 - v**3)*(7 + 16 - 6).\nAnswer: -51*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - 0.7. Let q = -0.1 + t. Let d = 0.09 - -0.21. Which is the biggest value? (a) -2\/7 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.103 + 41.103. Let s = -37.6 + a. Let y = s + -15.4. What is the third biggest value in -0.5, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1712610*l - 1712610*l - 6977*l**3 + (-2*l - l + l)*(5*l**2 - 2*l**2 - 2*l**2) + 0 + 2*l**3 + 0 in the form z*l**3 + w + o*l + a*l**2 and give z.\nAnswer: -6977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1326*m + 41. Is h(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178*h**2*m**2 + 27*h**2*m*t - 2*h**2*m - 3*h**2 - 4*h*m**2 - 303*h*m - 50*m**2*t wrt h?\nAnswer: 356*m**2 + 54*m*t - 4*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 154*z. Let q(t) = -t**2. Calculate s(q(r)).\nAnswer: -154*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 - 4*k + 5. Let w(x) = x**2 - x - 1. Let v(u) = j(u) + 4*w(u). Let p be v(-7). Let m = 16 - p. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 11 + 19. Suppose -174 + 16 = -d*f. Suppose 0 = z - f + 19. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d - 3*d = 245 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 36105*h. Let w(j) = -3*j**2. Give w(r(y)).\nAnswer: -3910713075*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 7286000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 11*x - 11. Let q be h(-12). Let t(b) = -3*b + 1. Let u(p) = -8*p + 2. Let y(l) = 11*t(l) - 4*u(l). Let o(f) = -f. Give q*y(v) - 2*o(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 47434.\nAnswer: 15\/47434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 304211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*z + 1210 = -2*z, -5*s - z + 1210 = 0. Suppose 4*c - 346 = s. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 3*p = -38*p - 224 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5655082.\nAnswer: 2, 31, 197, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.39, 65, -17 in descending order.\nAnswer: 65, 0.39, 1\/4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/84)\/((-4)\/10*(-105)\/(-112)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174 + 174. Put d, 1, -11 in decreasing order.\nAnswer: 1, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 10379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21917\/5 + -13205\/3. Let j = k + 93\/5. Which is the smallest value? (a) 1\/6 (b) j (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011111 - 111010010111?\nAnswer: -1010010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6879695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 139 = 3*t. Let w = t + 66. What is the remainder when 77 is divided by (-11)\/((-22)\/w) + (-1 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5\/(30\/(-6))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995589?\nAnswer: 19, 105031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -2415.\nAnswer: -4\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1250520131 to six dps.\nAnswer: -0.125052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*t**2 - 14*t**2 + t**2 + 37*t**2 + (2 + 0 - 1)*(t**2 - 3*t**2 - t**2).\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-2\/11)*h*h)\/h**(-2\/9)*h**(-7)*h*h**(2\/5)\/h*h assuming h is positive.\nAnswer: h**(-592\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66405\/47 - -1413. Let n = -136\/329 + d. Let b(t) = t**3 - 9*t**2 + 9*t - 8. Let r be b(8). Which is bigger: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0.3, 16 in decreasing order.\nAnswer: 16, 0.3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 6*b**2 + 2*b**2)*((-4*b + 2*b - b)*(-6*b + 5*b - 11*b) - 103*b + 103*b + 12*b**2).\nAnswer: -96*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -10.1. Let d = 1.3 + r. Which is the nearest to d? (a) 1\/2 (b) 5\/6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/11, 0.2, -5352, -0.1, 62?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 8*p - 10*p. Let q = 35 + p. What is the greatest common divisor of 28 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164618548 and 233336?\nAnswer: 329237096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 2, b: 1, a: 1, i: 1}. What is prob of sequence zzb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 1 (b) -1\/18 (c) -3\/7 (d) -8\/395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 24 = -4*i, -4*i + 5*i + 14 = -3*l. Suppose 4*n + 8 = 0, -d - 3*n - 10 - i = 0. Put d, 2\/3, 0.2, 0.5 in increasing order.\nAnswer: d, 0.2, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -185*b - 10167. Calculate c(-55).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1257860?\nAnswer: 3773580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -709 (b) 0.5 (c) 4.8 (d) -12.8 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 333655 - -2?\nAnswer: 333657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.9 + 1.7. Let d = -366.1264 + 370.726367. Let l = d - b. Round l to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129221 and 367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*t**2 + 51*t**5 - 14*t + 13*t**5 - 101*t**2 wrt t?\nAnswer: 3840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/120 + 3*s**5\/20 - s**4\/12 - 2*s**3 - 3*s**2. Let i be b(-9). Suppose -4 = j, -v + i*v = -3*j + 88. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let v(o) be the first derivative of 157*o**3\/3 - 11*o**2\/2 + 4*o + 402. Calculate m(v(s)).\nAnswer: -157*s**2 + 11*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**3 - 2*r**2 - 61*r - 5. Let m(h) = -29*h**3 + 10*h**2 + 308*h + 24. Calculate 3*m(u) + 14*w(u).\nAnswer: -3*u**3 + 2*u**2 + 70*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7040 is divided by 52.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by -1\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -2, 2, 8, 16, 26?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) 0 (c) 2\/9 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Suppose d*y + 0*y = 12. Suppose 2*f = y*f. Solve f = -2*k - 2 - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (136 - 161) + (119 - (-5 + 8))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 - 2*z**3 + 2*z**3 + (-2 - 1 + 2)*(-34 + 34 + 2*z)*(2 - 4 + 3)*(z**2 + 0*z**2 - 4*z**2).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {z: 1, x: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21254, 21255, 21256, 21257, 21258?\nAnswer: 21259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -z + 277, 3*z - 200 = -2*a - 49. Suppose -5*b + 4*y + 156 = 0, -3*y - a = -2*b - 0*y. Calculate the remainder when b is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*v**2 - 807*v**2 + 525 - 525.\nAnswer: -512*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r - 69 = -21*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -224*r**2 - 4*r - 3 + 227*r**2 + 2*r + r**3 - 2*r. Let j(n) = -3*n - 1. Let d be j(1). Calculate x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/((-7938)\/(-72)))\/(350\/(-49)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = 52 + 1194. Is h at least as big as -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = w + 24, -102 = -2*k - 389*w + 397*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10191420, -20382763, -30574106, -40765449, -50956792, -61148135?\nAnswer: -71339478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004202925507 rounded to 6 decimal places?\nAnswer: 0.004203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 8430331?\nAnswer: 92733641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9*i**3 + 261*i - 1308. Give c(5).\nAnswer: 1122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/79100 and 37\/56500.\nAnswer: 395500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*x + 16*x - 147*x)*(4*x - 2 + 2)*(23 + 24 - 31) to j + k*x + i*x**2 and give i.\nAnswer: -6464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17609\/10710 + 1\/765. Let z = -15\/7 - c. What is the closest to 0 in 2\/11, -5\/2, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4187 (base 9) to base 12\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 6:12 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2095*l - 2238*l - 2198*l - 6*l**2 + 6531*l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82073 is divided by 152.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 131*b - 299. Is x(-64) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87704.\nAnswer: 2, 19, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/4? (a) -0.03 (b) 1\/9 (c) -0.3 (d) -7\/31 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 13*y**2 - 436*y + 653. What is r(32)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 - -113. Is p at most as big as 1\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 16 = 0, -v - 4*t = -2*v + 14. Let w be v*1\/((-4)\/10). Suppose -w + 0 = -x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k - k)*(1 + 1 - 3)*(-9 + 9 - k**3).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -656.2 + 661.2. Put 2\/7, b, -0.167, 0 in ascending order.\nAnswer: -0.167, 0, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 1:45 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**6\/180 + t**5\/20 - t**3\/6 + 2*t. Let d(u) be the second derivative of l(u). Suppose d(r) = 0. Calculate r.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 14*y**2 + 13. Let v(p) = -3 + 2 + 2. Suppose k + 5 = -3*h, -96*h + 92*h = 5*k + 3. Let i(r) = h*v(r) + d(r). Find the first derivative of i(q) wrt q.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11018491*d**3 + 1628982*d?\nAnswer: 66110946*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**5\/60 + n**4\/24 + 178*n**3\/3 - 2782*n**2. Let k(y) = 2*y**2. Determine t(k(j)).\nAnswer: 4*j**4 + 2*j**2 + 356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*y - 17 - 9, -y = -4*b - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8 - 2\/(-4). Let t = 9 + r. Suppose -4*s + 3*s = -t. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x**5 - 904*x**4 + 1068*x**3 + 1504*x**2 - 496*x = 0.\nAnswer: -1, 0, 2\/7, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -51. Let l be (2 + (-8 - -4))\/1. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1813d + 4?\nAnswer: 18143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(640)\/sqrt(5) - sqrt(8))\/(sqrt(196) + sqrt(196)*-3)*-4.\nAnswer: -4 + 6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 9. Let a be t(-10). Let p = 1 - -4. Suppose p = 3*x - a. Solve 0 = 3*g - k - x, 0 = g - 5*k - 24 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**8\/1344 - l**7\/120 - 13*l**6\/160 - 53*l**5\/240 - 11*l**4\/48 - 595*l**2. Solve p(a) = 0 for a.\nAnswer: -2, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2760 and 440?\nAnswer: 30360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/(-2))\/3)\/(648\/72)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 + 7*d + 73 + 65 as n*d + f and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 1624*o**2 + 4879*o + 3254.\nAnswer: -(o - 1627)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17909, -3, -10, 1, -254.\nAnswer: -254, -10, -3, 1, 17909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + 93 + 43 + -5 + -1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59542492, -59542494, -59542496, -59542498, -59542500?\nAnswer: -59542502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**3 - 7*z**2 - 2*z. Let f(k) = -7*k**3 + 8*k**2 + 3*k. Determine 2*f(m) + 3*l(m).\nAnswer: 7*m**3 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*d + 25 = 0, d - 9 + 14 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 + 56 = -5*n. Let r = -55 - n. What is the tens digit of -1 + 3 + (-9 - r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*x - 3*t + 563, t = -4204*x + 4207*x - 167 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160.2812627 - -60.2812678. Let l = d - -100. What is l rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/32, 2\/387, -3 in descending order.\nAnswer: 3\/32, 2\/387, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Suppose x - j*x = 10. Suppose 3*c + 37 = g, -2*c - 10 + 8 = 5*g. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.93729 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8492*u**4 - 8*u**3 + 4*u**2 - 2703. Let x(v) = -v**4 + 4*v**3 - 2*v**2. Let i(s) = -f(s) - 2*x(s). What is the derivative of i(o) wrt o?\nAnswer: 33976*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 4:50 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 615434111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7092.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1157\/195 - 4\/(-60)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1606550 divided by -12650?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h + 33*h - 4 - 38.\nAnswer: -h - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628373934.\nAnswer: 2, 3, 34909663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1147, -1774\/9, -5, 0.4, 0.3 in decreasing order.\nAnswer: 1147, 0.4, 0.3, -5, -1774\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -618124766*p**2 - 772505158*p?\nAnswer: -1236249532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 6. Find the third derivative of -m*p**2 + 17*p**4 - 13*p**2 + p**4 wrt p.\nAnswer: 432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, e: 13}. What is prob of picking 2 c?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14)*(-505)\/2. Let w = -71 + j. Let x = 254 - 256. Which is the second smallest value? (a) w (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m + 37. Let u be q(-7). Let l(y) = -2*y**2 + y + 4. Let n be l(u). Let j(g) = 43*g**2 + 2*g. What is the units digit of j(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = 0, -g + 4*g - 2*l - 15331 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0)\/((-106)\/1007).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -28*v**3 - 84*v**2 - 3*v + 4. Let r be m(-3). Solve -r*z + 7*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12630 + 12629. Which is the fourth biggest value? (a) w (b) 0.3 (c) 208 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -30*r. Let t(x) = -7*x**2. Give t(m(w)).\nAnswer: -6300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {c: 3, j: 2, g: 1, a: 14}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (375\/(-27))\/(-5) + 2\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 750331, 750324, 750317, 750310, 750303?\nAnswer: 750296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3037.24 less than 1?\nAnswer: 3038.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.36 - -0.06. Which is the third smallest value? (a) v (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 241*n = -38*n - 12642 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -829214975428 minus 11?\nAnswer: -829214975439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - 8)\/(2 - (-296231)\/(-148109)).\nAnswer: 2, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*n + 282*n = 34*n + 7557 + 1779 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 2\/49, -0.3 in decreasing order.\nAnswer: 2\/49, -0.3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a + 212 - 167 - 59*a**4 - 92*a**4 wrt a?\nAnswer: -1812*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36315 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000425013 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 15*l + 20. Calculate q(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 333 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3688 by 1844.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*z - 2*w + 23, -4*w = -z. Suppose z*u - 10 = -u. Suppose k - u - 2 = 0. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5666\/13 or 435?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464435 is divided by 798.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2169798096 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -215 + 124. Let k = -91.0000086 - t. Round k to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72175 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816001758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 18*i - 10. Let m(z) be the second derivative of i*z + 0 - 1\/3*z**3 - 1\/12*z**4 + 0*z**2. What is the second derivative of m(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100, -96, -92, -88, -84?\n\"Answer: 4*z - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 32) + 4 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 66 + 3. Let l = q + -71. Does 42 divide (-2 + 3)\/(l\/(-354))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -121. Let j = 326 + i. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(0 - 1)*(239927\/1876 - (-15)\/140)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 811, 1366, 1877, 2332?\nAnswer: 2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3014*f + 721*f = -141930 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 0.039 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -21, -20?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t + 4. Let j be t - 7*(-2)\/12. Let r = -564 + 563. Which is the second biggest value? (a) r (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619187 is divided by 61244.\nAnswer: 6747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 1. Let j(y) be the first derivative of 9*y**2\/2 + 8*y - 2. Let o(u) = -5*j(u) + 40*n(u). Let i(w) = -w + 0*w + 2*w - 3*w. What is o(i(k))?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vss when three letters picked without replacement from {e: 3, s: 3, v: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19828333 is divided by 967.\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -522 or -524?\nAnswer: -524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.1 and -19.67 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137.978 - 0.022. Let s = 130 + w. Which is the second smallest value? (a) s (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -666*p**3 + 6*p + 38.\nAnswer: -3996*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 7)*5\/4. Let g(b) = -2*b**3 + 4 - 128*b + 129*b + 5*b**2 + 3*b**3. Calculate g(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - ((40 - -30) + -143).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -465.74244.\nAnswer: -465.24244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 + 14*s + 101)*(4 - 3 - 3)*(3 - 4 + 0).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 491819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 104*j**4\/9 - 176*j**3\/3 + 898*j**2\/9 - 178*j\/3 + 4 = 0. Calculate j.\nAnswer: 1\/13, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.3989 and -4117.\nAnswer: -4119.3989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.66 and 9120.\nAnswer: 9118.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:25 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13a5d + -65d?\nAnswer: 13400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 31724486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.179 + -3.179. Which is smaller: y or -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 + 0?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3 + 20*k**2 - 23*k - 198. Determine a(7).\nAnswer: 1993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*y**3 + 49*c - 2*y**3 + y**2 wrt y.\nAnswer: -12*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j + 126 = 342. Solve 0 = 7*z - 4*z - j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.951 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 22*z**3 - 10*z**2 + 29*z + 139. What is the thousands digit of d(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1180\/16 + -2 + (-11)\/(-44) and 6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -423*s**2 - 1624*s - 1068. Give v(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1097 - 1034 = 0. Solve 6*t = 9 + y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 17616?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -196 + 204. Calculate the smallest common multiple of v and 234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 12:44 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 0*(-6)\/24. Let h(b) = 21*b - 23*b + 3 + 2 + 12*b**2. What is the remainder when h(q) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - -1) - 2 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.01 - -2.04. What is the fourth biggest value in -1\/2, z, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8372847 by 398707.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 4*c - 5*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 935639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613 <= 1611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1051859194*o**3 + 6*o**2 - 31366927.\nAnswer: 6311155164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70 - -15f6?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65, -75, -105, -167, -273, -435, -665, -975?\n\"Answer: -2*t**3 + 2*t**2 - 2*t - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (5 + -3) - -39. Suppose -3*p + a = 2*p. Calculate the greatest common factor of 88 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*c - 160, 4*v = 5*c + 272 - 7. Let d(l) = 41*l**3 - l**2. Let m be d(1). Calculate the highest common factor of m and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -33. Let h = r + 24. Suppose 2*o + h = -6*f + 2*f, 3*o - 5*f - 32 = 0. Solve 5 - 1 = -o*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 830434.5 millilitres?\nAnswer: 830.4345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**7\/420 + q**6\/120 - 5*q**3\/3 - 2. Let y(b) be the third derivative of v(b). Find the third derivative of y(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 - -13668?\nAnswer: 13620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 720981 * -0.11.\nAnswer: -79307.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -6*f - 5*f. What is the tens digit of (-5)\/(210\/342 + (-4)\/f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/45383 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 40.4 (b) -0.2 (c) -4213 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5118 = -5*y + 4*b, 0 = y + 2*b - 5*b - 1028. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 11*w. Suppose w = 4*p - 2 + 10. Is (306\/(-4) - 2)*p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*o + 28, -5*o - 3*x + 5016 = 5036 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -4. Let n = -8 - q. Let z = n + 1.7. What is the second smallest value in -3\/5, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5564?\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05 and 318343279899.\nAnswer: 318343279899.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 672 divided by 28\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:12 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156 + -152. What is the first derivative of -23*j + 16*j + 6 + 17 - 7*j**l - 2 wrt j?\nAnswer: -28*j**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -4\/5, 1, -15, -2\/7 in descending order.\nAnswer: 5, 1, -2\/7, -4\/5, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12 - -5027 - -13) + -2.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*p = -57, 0 = -2*t - 0*p - 4*p + 14. Is 17 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, o: 8, v: 5}. What is prob of sequence vok?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 47. Let d = 94 + -35. What is the remainder when d is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4 + 1 - 26*u + 18*u + 15*u**2. Is j(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4390 is divided by 578.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*y - 155*y = -87673 - 116231. Round y to the nearest one hundred.\nAnswer: 22700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-170)\/40)\/(2\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 4227772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - n + 5 = 0, -2*l + 5271 - 5258 = 5*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 (base 8) in base 4?\nAnswer: -3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5466 + 1332*r + 5481 + 436*r. Is c(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/7 + 10868*c**2\/7 - 10869*c\/7 = 0.\nAnswer: -10869, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -60 - 74) + 22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1102, -1077, -1052?\n\"Answer: 25*u - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/(-40) - (-3)\/((-30)\/4). Suppose 0 = 2*i + 4*p - 2*p, i - u*p = -6. Sort 0, i, -5, -1 in ascending order.\nAnswer: -5, i, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2701 + 1458. Let o(d) = -3575*d - 1. Let z be o(1). Let k = w - z. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*y = -95*y + 2310 + 1386. Which is smaller: y or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4437 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201, -186, -165, -138, -105, -66?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 + -51. Suppose -80*n = -b*n - 4896. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3681, 2013, 325, -1389, -3135, -4919, -6747, -8625?\n\"Answer: -w**3 - 4*w**2 - 1649*w + 5335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -59. Suppose 4*r = 4*q - 4, 3*r - t = r - 2*q. Solve 1 = -z + r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:17 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51113980543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -213.8 + 217. Let x = -3.4 + b. Put -7, x, -3 in increasing order.\nAnswer: -7, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10918*w**3 - 2*w**2 + 69*w + 31 wrt w.\nAnswer: -65508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/(330\/1100).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1499, -2995, -4491, -5987?\nAnswer: -7483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 2*p + 3. Let s be i(-3). Suppose -5*g - 2*u + 48 = s, 3 = 3*u. Let w = g + -14. Let t(a) = a + 8. Determine t(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Let r be v(3). Suppose 2*s - 12 = 5*o, -s + 4*o = -25 + 16. Is 10*318\/(s - r) + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/8)\/q**(-3\/2)*((q**(-2)*q)\/q)\/(q\/q**(1\/5)) assuming q is positive.\nAnswer: q**(-37\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*o**4 + 158*o**4 + 88*o**4 + (4*o - 2*o - o)*(-4*o**3 + 4*o**3 - 2*o**3).\nAnswer: 149*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 2*l**5\/5 + 2*l**3\/3 - 4. Find the third derivative of d(u) wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 878731599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 297341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-34))\/((2\/(-6))\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -142032, -284086, -426140, -568194, -710248?\n\"Answer: -142054*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**3 - 13*q**3 + 5*q**3 + (1 + q - 1)*(1 - 1 - 2*q**2).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -383, -771, -1159, -1547, -1935?\n\"Answer: -388*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*q + 6, 731*q - 732*q + 5*w + 30 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 11*i = -16*i - 55, -4*t - 2*i = -90. Solve -t = -4*w, 8*w - 26 = -y + 3*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87.89866 + -87.85. Round z to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1259 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 + 8*d**2 + 12*d + 9. Let g(u) = 5*u**3 + 8*u**2 + 13*u + 9. Let f(r) = -3*g(r) + 4*m(r). Let v be -2 + (17\/(-4) - 3\/4). What is f(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*m - 53, -2 = m - 1. Suppose -6*q - 605 = -d. Let v = -71 - q. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -449\/11 + 41. Sort b, -0.4, 0.6 in descending order.\nAnswer: 0.6, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h - 2. Let q(f) = -15*f + 3. Determine -2*q(g) - 3*t(g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 618398372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (7 - 2) - 3 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1178224*y**3 + 1687*y + 286?\nAnswer: -7069344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v + 2 + 5*v - 2*v. Let i be a(4). Is -1*i\/4*22 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\/(-72))\/(16\/(-448))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = -5 - 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592383153?\nAnswer: 5569, 285937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025086 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -26 (b) 1\/18 (c) -2\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 490829451 and 1842.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121222212102022 + 10?\nAnswer: -121222212102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827000 rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, x: 2, u: 1}. Give prob of picking 1 v and 1 x.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4*p = -12*v + 3, -v = p. Suppose -4*h + 8 = s, -11*h + 5*s - v*s + 22 = 0. Let -8\/7 + 12\/7*w - 4\/7*w**h = 0. Calculate w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {l: 1, c: 7, d: 1, n: 7, e: 3, v: 1}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1111011101 (base 2) to base 6\nAnswer: 4325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*a + 3*a, 2*a + 14 = q. Suppose o + q*o = -80. Let u = 26 + o. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -97, -88, -65, -22, 47, 148?\n\"Answer: f**3 + f**2 - f - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 + 9 + -1 + (1 - 0). Which is smaller: z or -12\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/11)\/i*i**2)\/(i**(-1))**(-43))\/(i*(i*i**(-2\/3))\/i*i\/(i*i*i**(-1\/2)))**(7\/12) assuming i is positive.\nAnswer: i**(-32539\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37304 and 1?\nAnswer: 37304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85297582?\nAnswer: 2, 42648791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 5.4484, -2\/79, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 31*h**2 - 10*h + 25. Does 17 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 668 and 0.2.\nAnswer: 133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36097279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b + 8 = 0. Let i be (b\/(-6))\/((-6)\/(-27)). Suppose 2*l + 2*z - 4 = 0, -5*l + 0*z + 12 = i*z. Solve 13 = l*x + 2*d, -4*d = -5*x + 3 + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 - 3*h + 36. Let d be (-9)\/(81\/(-21))*3. Let n be x(d). Round n to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*r + 986 - 1962 + 976.\nAnswer: -167*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-329)\/(-141))*(-57)\/(-2) + -22.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - -1.5. Let u = 2.1 - z. Let v = 79 - 79.1. Which is the closest to v? (a) u (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 0 - 2)*(4*a - a + 7*a).\nAnswer: -70*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 13*h - 11)*(50*h**2 - 4*h**4 + 2*h**4 - 86*h**2 + (-h**3 - 2*h**2 + 2*h**2)*(2 - h - 2)).\nAnswer: -13*h**5 - 468*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*k = -10, 4*k = 2*y - y - 8. Let r be y + -1 + (-3)\/(-1). Suppose r*l + 2 = 0, 3*c + 2*l = -0*l + 19. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s - 2. Suppose -s*d - d + 30 = 0. Suppose 4*m = d*m. Solve -4*c - n = -m*n + 18, -3*n - 22 = 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 43*j - 115. Determine b(-21).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 602, -4, 0.4 in decreasing order.\nAnswer: 602, 3, 0.4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j. Let w(t) be the first derivative of t**4\/24 - 3*t**2\/2 + 4. Let l(h) be the second derivative of w(h). Give c(l(y)).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 + -48. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 29018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409*f = -415*f + 3714. What are the prime factors of f?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + (sqrt(171) - 1*sqrt(171) - sqrt(171))\/sqrt(3))\/(sqrt(243)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 7:48 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 41731*a + 1404. Let x be f(16). Round x to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1.6, -0.07, 69?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-4 + -3) - 3. Solve -s*v - 5 = -17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 4 = 23*c. What is the nearest to c in -2, -2\/7, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*q + 8 = 0, 4*q - 4 = k + k. What is the common denominator of k - 5 - (-40)\/9 and 107\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3 + 40*f**2 - 1538*f + 2?\nAnswer: -12*f + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -703 + 699. Which is the fourth biggest value? (a) 4 (b) 1\/6 (c) 0.2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -45. Factor a*y**3 + 10*y**2 - y + 4*y - 25*y + 59 - 51.\nAnswer: 2*(y - 1)*(y + 4)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320 - 319.950192. What is g rounded to 4 decimal places?\nAnswer: 0.0498","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5780, -12250, -19422, -27302, -35896?\nAnswer: -45210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-228)\/(64 - 26)*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6}. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49192 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -438 (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4816 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqbsqyq. Give prob of sequence ss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**3 - 79845*y**2 + 315664935*y + 24781883665 = 0.\nAnswer: -77, 8023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82569, -165143, -247717?\n\"Answer: -82574*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*s + 162*s + 0*s**2 - 41*s**2.\nAnswer: -41*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102\/7*c + 2\/7*c**3 + 5780\/7 - 48\/7*c**2.\nAnswer: 2*(c - 17)**2*(c + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 4*u + 5. Let k be c(6). Let j be 498\/21 - 2\/k. Is 17 a factor of 2\/(-12) + 412\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*z**5 + 55*z?\nAnswer: -2140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -395 - -763. Calculate the greatest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 50*r + 5. Let i be j(0). Let q be (2 - -6) + (1 - 4). Suppose 10*o - 15 = q*o. Which is bigger: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**4*l)\/l)\/l**(-10))\/(l*l\/l**(5\/2))**(-1\/13))**(-6\/7) assuming l is positive.\nAnswer: l**(-543\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 15*z**2 + 30*z - 40. What is m(-16)?\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94633177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308813349 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12092)\/12096 - -1)\/((-3)\/(-3)). Is m greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1 + 3 + sqrt(153))**2 + 3 + sqrt(187)\/(sqrt(11)*-3).\nAnswer: -sqrt(17)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-4455)\/13662)\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 g, and 1 y when three letters picked without replacement from vlgryoyrovvrygvo?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792*v**2 + 128*v - 15551*v**2 - 2 - 257*v + 18*v**3 + 131*v.\nAnswer: 18*v**3 - 16343*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 7*x - 8. Let y be q(6). Let j be y\/5 - 17\/(-30). What is the nearest to -0.2 in 2, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6800 and 19312?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 594 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 73 - 18. Let f = 97 + -92. Solve -v = 4*p + f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 355709.5 millennia?\nAnswer: 355709500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(135\/35) - -1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3845215 and 17.\nAnswer: -65368655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h. Suppose -3*d - d + 400 = h. Round d to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 8*s - 139750 = 0. Suppose s = 2*d + 2*o, -13990 = -5*d + 15*o - 17*o. What is d rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 = 3*f. Factor 5*v**2 + 4 - 5*v**f - 4*v**4 - 8*v + 0*v + 8*v**3.\nAnswer: -4*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5906.3 - -5906. What is the closest to 2 in i, -2\/143, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/110 and -37\/6138.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653338805*v**5 + 15680359940*v**4 - 13725601805*v**3 - 30048783530*v**2 + 10516100*v - 920 = 0.\nAnswer: -1, 2\/11431, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1720, -1718, -1716, -1714?\nAnswer: -1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 1. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 15*s - 260 = 0. Let g(a) = 3*a - 1. Let o be g(1). Suppose 3*l - 39 = 4*y, -o*l + y + 28 = -3. What is the remainder when l is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*h - 168*h - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0483644 rounded to four dps?\nAnswer: -0.0484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -206900 times -14?\nAnswer: 2896600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.95 + 0.05. Let a = -28.3 - -265.3. Let p = -231 + a. What is the third biggest value in g, p, 5, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8c59 (base 14) to base 2\nAnswer: -101111100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31710 and 42124.\nAnswer: 667876020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 30a?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x + 6. Suppose -2*g + 2 = -0*g - 2*i, -g + 2*i - 3 = 0. Determine z(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-244)\/(-915)*(-40)\/248.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1059*q**3 - 1049*q**3 + 8*q + 2*q - 25*q**2 = 0. What is q?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) - 2*sqrt(171)))\/(4*2*sqrt(9)).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173767 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5 - 560*s**4 + 15105*s**3 + 32490*s**2.\nAnswer: 5*s**2*(s - 57)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(320) - sqrt(320)*-2))**2*-6*-5.\nAnswer: 5760*sqrt(5) + 86880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 24*a - 52*a + 10000. Is a at most as big as 402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.0526 - -0.0526. Sort 61, c, 5, -0.2 in decreasing order.\nAnswer: 61, 5, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.41 - -0.61. Let z = 0.8 - i. Which is the second smallest value? (a) -0.4 (b) 5 (c) z (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54756525 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1434 - 5452?\nAnswer: -11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, 131, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 40 = 0. Let l be (u\/4)\/((-5)\/10). Let f(n) = -3*n - 2. Is f(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-18) - (-4)\/(-18). Let z be (-147)\/b + (-2)\/4. Let c = -47 + z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 4, -1, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4)*8\/6. Let b(p) = p**a + 3*p - 3*p - 3*p**2. Let s(t) = 4*t. What is b(s(k))?\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/15*-5*(-2)\/(-4). Suppose 518 = 5*z + 4*u, -v*z + 3*u + 218 = u. List the prime factors of z.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8073 divided by -27.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 8*w - 9. Let t be u(-9). Let b(x) = 2*x + 3. Let j be b(6). Solve -j = -3*a - t*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 1. Let d(i) = 4*i**3 + 7*i**2 + 16. What is -d(h) - 5*w(h)?\nAnswer: -4*h**3 - 2*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3 + 1 - 19*a - 37 + 6. Let x be n(-6). What is the highest common divisor of x and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b + 1. Let p(l) = l + 1. Let a(d) = -p(d) + w(d). Let n(j) = 0*j + 5*j - 4*j. Determine n(a(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1577 from 9.12.\nAnswer: 1586.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 716625473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 29. Suppose -2*x + 2*s = m*s - 49, -4*x + 83 = s. What is the remainder when x is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.014.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 6*i + 8*i + 9*i as m + z*i and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101222 - -11?\nAnswer: 1102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*d = -4 + 19, 0 = -4*s - 5*d + 11. Let i(o) = -1006*o**3 - 4*o**2 - 2*o + 1. What is the tens digit of i(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from bwbwwbwbwwpvpp?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1 - 3. Let n = z + 7. What is the third derivative of -y**2 - y**n + y - y wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5419 + 396*s**2 + 5419 to the form u + h*s**2 + v*s and give h.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/20 - d**4\/2 - 4*d**3\/3 - 5*d**2\/2 - 2*d. Let x be (-4)\/(-16) - 21\/4. What are the prime factors of j(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -396, -242, -88, 66, 220?\n\"Answer: 154*z - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*y - 89*y = 28*o - 122, 2*o + y - 13 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1 - n + 0*n + 2*n**3 - 2 + 2*n. Suppose 4*p + 31 = h, -2*h + 12 + 20 = -2*p. Suppose -h = -6*s - 5. Calculate i(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11*(c\/(c**(-11)*c))\/c*c*c)\/(c**(-1))**(6\/5) assuming c is positive.\nAnswer: c**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-368)\/(-552))\/(10\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 1148 - 3*r**2 + 1142)*(0 + 0 - r).\nAnswer: r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11046.\nAnswer: 2, 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -1 - (-1 - (12 - -4 - 14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 1428.\nAnswer: -4\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1482854 rounded to the nearest 10000?\nAnswer: -1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*m + 2709 = -19*m. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 19045 = -v, 4*v + 2388 = 4*a - 23000. What is the hundreds digit of (-9)\/12 + a\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9459 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -444.194 to the nearest integer.\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 5*r**2 - 6*r + 7. Let s be u(3). Suppose 4*z + 0*z + 12 = 0. Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599249 to the power of 1\/2, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ggkgggggkggghghhgkg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 258? (a) 110 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*7\/245)\/((-9)\/(-63))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1213 = 343. Suppose -16*d = 3*r - 14*d - 410, y = 2*r - 2*d. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32041224 (base 5) in base 9?\nAnswer: -448046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 + 95 = 4*k. Let h = k - 62. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a. Suppose 0 = -p - 6*p. Suppose 4*v - 8 = -p*v. Let z(i) = -5*i**2 + 7*i**2 - 4*i**v. Give n(z(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.198 + 0.008. Let y = p - 0.103. Let f = -4.997 - y. What is f rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 28?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 - 14*n**3 + 284*n - 6 - 279*n + 16*n**3 in the form q*n**4 + k + z*n + x*n**2 + t*n**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Let b(a) = a**2 + 3*a - 3. Let r(s) = -s**3 + 4*s**2 + 2*s - 6. Let m be r(4). Let z be b(m). Calculate the highest common factor of j and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/96 and -149\/8208.\nAnswer: 16416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1271 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665927 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -916*y**2 + y + 916*y**2 + 3 - 7*y**3 + (2*y + 3*y - 6*y)*(-2*y**2 + y**2 + 3*y**2) to q + h*y**2 + v*y**3 + r*y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -118921, -237844, -356767, -475690, -594613, -713536?\n\"Answer: -118923*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 5*f**5)*(1 - 1 + 5)*((2 - 2 + 2)*((-3 - 4 + 6)*(0 + 4 + 11) + (-3 + 0 + 1)*(0 + 1 - 3)) - 2 + 1 + 0).\nAnswer: 575*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*b - 66*b - 12*b**2 + 121*b - 6*b**2.\nAnswer: -18*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 34, -22, 3, 4 in descending order.\nAnswer: 34, 15, 4, 3, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 3*b + 3*b + (b**2 + 0*b**2 + b**2)*(2 + 2 - 6) + 0*b**2 - b**2 + 2*b**2 - 2*b**2 + 4*b**2 - b**2 + (b - b + b)*(b - 3 + 3) - 25 + 25 + 6*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v. Let g(p) = -34*p**2 - 5*p**2 - 123 + 123. What is y(g(w))?\nAnswer: -117*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -33)*150\/300. Solve g*u - 21*u = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 16*j - 14. What is the remainder when 78 is divided by u(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.007 + -0.993. Let v = -1.47 - -0.07. Let p = v + 1.6. Which is the third biggest value? (a) p (b) m (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by -55\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-4)\/(-24)*0. Let w be (572\/110)\/(z\/20000). What is w rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a + 5*y, 0*y - 4 = -2*y. Solve -2*h - 1 = a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -8\/3, -5\/47 in increasing order.\nAnswer: -8\/3, -5\/47, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-4*(sqrt(3) - (sqrt(108) - sqrt(3))))**2 - (sqrt(3) + -2)*-5))*-2.\nAnswer: -1522 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q*u**2 + 5*q*u + 4965*q + 3*u**3 + 6*u with respect to u.\nAnswer: -2*q*u + 5*q + 9*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-3)\/(-12)*-6. Let f be -6 + 6 + -74 - 3. Let z = -72 - f. Solve z*x + c*w = 5, -x + 1 = -w + 5*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119873 less than or equal to 119871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 2:11 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35, -1\/5, 1\/120, 4?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*u - 6 = 0, -3*y - 3*u + u + 22 = 0. Suppose -x + 19 = 3*z, 0*z - z + y*x = -15. Which is smaller: 6 or z?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 35*p - 29. Let a(f) = -f. Let k(x) = -3*a(x) + o(x). What is the derivative of k(s) wrt s?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((2 + -6)*3)\/(-12 + 14). Is -6 - (-10*q\/(-12) - 7058) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from wwrrshythwyw?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/12 - 4135*f**3\/4 + 1279093*f**2\/12 + 865135*f\/4 + 651953\/6 = 0?\nAnswer: -1, 106, 12301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:16 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.95 to the nearest integer.\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, t: 11}. Give prob of picking 2 e and 1 t.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70599633 a multiple of 3783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbgibbbbbbbbbbb?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*c - 28, -183*c + 182*c - 3*r = -14. Solve 0 = 21*a - c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54549818?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76100*b**6 - 9*b**3 - 1513043*b**2?\nAnswer: 9132000*b**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one fifths of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lluullul.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16 + -92)*(-4 - (-1 - -1)). Suppose -4*g + 5512 - r = 0. Suppose -31*b = -24*b - g. What are the prime factors of b?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49883.87 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3469*u - 2192*u - 935*u = -533547 + 65231 for u.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115894?\nAnswer: 2, 57947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 512*1\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.35 + -0.25. Let q = j - 0.1. Sort 0.2, q, 0.5.\nAnswer: q, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-35) - (-4)\/14. Let v = -0.09 - 0.41. What is the smallest value in 5, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.3 + 9. What is the second biggest value in -7, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 2, 3\/71?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -168321, -168319, -168317?\n\"Answer: 2*j - 168323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 2:37 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4382, 4380, 4378, 4376, 4374?\n\"Answer: -2*f + 4384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*v = -15 + 4, -2*v = -2. Let t be l + -1 + 0 - (-6)\/2. Which is the nearest to -8? (a) t (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quuudususeduueu. Give prob of picking 1 u and 1 e.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-four fifths of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 436\/701 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/4? (a) 0.4 (b) 0.43 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(7\/2)*v*v*v*v*v**(-5\/2)*(v\/(v\/(v**(-2\/35)*v)))**(33\/5) assuming v is positive.\nAnswer: v**(1964\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvmrvvrvvrvrmvrrrv. What is prob of picking 1 r and 1 m?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**2 - 6*a + 4. Let f(i) be the second derivative of -i**2\/2 - 4*i. Calculate 8*f(x) - q(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 161836439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t + 33 = 8*t + 71 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 475997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, -1, 238, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 270*m + 33 = -269*m, -5*m + 75 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 12*k - 4 = 8*k, 0 = -4*o - 2*k - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -7. Suppose 26 = h*s - 58. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -82*m + 8427. Let n be t(96). Solve -n*p + 543*p = 108 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**11\/166320 + y**10\/75600 - y**9\/15120 - y**5\/10 - y**2. Let g(q) be the third derivative of d(q). Factor g(t).\nAnswer: 2*t**3*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + q. Let y(t) = 6*t**2 + 7*t. Let m(o) = 21*c(o) - 3*y(o). Let k = 261 - 0. Let i(f) = -3*f**2 - 261*f + k*f. What is i(m(r))?\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 15. Let p be h(6). Let n be 4 + (p + 54)\/(-1). Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*a**2 - 18*a**2 + 76*a**2.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 20*y**3 + 2*y + 1. Give l(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -434*q - 2168. Let k be j(-5). Solve 0 = -k*w - 13*w - 14*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 3. Suppose -7 = -3*r + 20. Suppose -m - r = -2*l. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54 - 32 - 7*m**3 + 46 wrt m.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 28, 79, 184, 361, 628, 1003?\n\"Answer: 3*r**3 - 6*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49200 or -49198?\nAnswer: -49200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -813122, -813114, -813102, -813086, -813066, -813042, -813014?\nAnswer: -812982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 2442 - 100 = -207*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6798191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 9 + 7 = 5*p, 3*h = -4*p + 28. Solve 11*m = 6*m + 2*g - 29, 2*m + 3*g + p = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 5*l**3 - 8*l**3 + 3*l**3 - 2*l**3 + 3*l**3.\nAnswer: l**3 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 9*k + 1926. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from wwfwffaafffw.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**4\/6 - 4*t**3\/9 - 5*t**2\/3 + 4*t + 487. Let d(u) = 0. Calculate u.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*(sqrt(425) + 0) + 5)**2 - (sqrt(612) + -5 + sqrt(17) + sqrt(17) + sqrt(153)\/(sqrt(36)\/sqrt(4)))).\nAnswer: -59*sqrt(17) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3 + 95*r**2 + 87330*r = 0.\nAnswer: -123, 0, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 minus 483?\nAnswer: -482.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80\/49 or -2?\nAnswer: -80\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5118.814 - 5120. Round p to two dps.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6*l. Suppose 5*h + l*h = 25. Solve h + 7 = -4*s, -5*s - 23 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5 - 2*b**2 + 9*b**3 - 2*b**2 + 2*b**2. Let g be (-3)\/(99\/(-44)*1*(-3)\/(-9)). Let a(m) = 17*m**3 - 4*m**2 + 9. Determine g*a(y) - 7*u(y).\nAnswer: 5*y**3 - 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4522 to two decimal places.\nAnswer: 2.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -68*n + 244. Let p be i(-22). Let y = p - 975. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.19 - -0.21. Let j = -8 + l. Let h = -0.3 - j. Which is the second biggest value? (a) -5 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j. Let c(h) = -1690*h + 52. Let r(s) = -336*s + 10. Let p(b) = -5*c(b) + 26*r(b). Calculate i(p(z)).\nAnswer: 858*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Suppose -5*a - 6 = -2*c - 35, 0 = -5*c + i*a - 64. Let w = 27 + c. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 8:01 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 c when three letters picked without replacement from bsbsssccccscbss?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Put together 5.8 and 6.6.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**5)\/o*(o*o**(-5\/6)*o*o)\/o*o)**(-13))**17 assuming o is positive.\nAnswer: o**(-9503\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z)**0\/(z**(-3\/2)*z**(-1)) assuming z is positive.\nAnswer: z**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2277 + 2312. Let o(t) = 80*t - 1. Let c be o(1). Suppose 2*u = -4*p + 58, 9 + c = 4*u + p. What is the greatest common divisor of h and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - r + (0 + 3 - 4)*(2*r - r + r) + (-2*r + 4 - 4)*(1 + 1 - 3) + r + 3*r - 3*r + (5*r - 3*r - 4*r)*(-4 + 7 - 2).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b**(-6)*b*b*b)**29)**(-10))**(-22))**(15\/7) assuming b is positive.\nAnswer: b**(-95700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -858.3983828 - -858.4. What is a rounded to 5 decimal places?\nAnswer: 0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12962 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 552.918446 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/15*5\/5\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011000418 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 420.504, 1, -5\/24 in ascending order.\nAnswer: -5\/24, 1, 420.504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9685 - 10196 = -2209*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/2*(-6 + -7). Suppose b = 5*v - 125. What is the remainder when 150 is divided by v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 3.1. Let r = -2 - 8. Let v be 54\/r - (-8)\/20. Which is the biggest value? (a) -0.3 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 299, 665, 1177, 1835, 2639?\nAnswer: 3589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 1 - -6) + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.3615 rounded to 1 dp?\nAnswer: -192.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -50\/26657709 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -205561121?\nAnswer: 205561125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68930, -137867, -206804, -275741, -344678, -413615?\nAnswer: -482552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 3)\/((-795)\/(-5247))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -33, -106, -251, -492, -853, -1358?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = w + 5*w + 210 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 625\/8, -5, 2\/13, 69, -4.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/3220 and 87\/11003720.\nAnswer: 253085560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2046 + 4716. Let i = v + -2671. Suppose -r + 16391 = -4*o + 2*r, i = -o + 3*r. Round o to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -3*p - 2*u + 272, -4*u = -2*p + 564. Suppose -5*x - 86 + p = 0. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2. Let r(f) = f**2 - f. Let y(n) be the third derivative of n**5\/20 - 5*n**4\/12 + 30*n**2. Let x(k) = 4*r(k) - y(k). Determine x(w(z)).\nAnswer: 4*z**4 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2 - 76*q - 19. Let k(t) = -t**2 + 15*t + 4. Let s(j) = 11*k(j) + 2*r(j). Suppose -7*v = -40*v + 103 + 161. What are the prime factors of s(v)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -35, -1, 2.\nAnswer: -35, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 4*w**2 - w + 2. Let r be d(3). Let j be (-156)\/(-15) + 4\/r. Let i(c) = -c + 17. Let g be i(12). Solve -g*h + j*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1)*s)\/s*s)**(-2\/41) assuming s is positive.\nAnswer: s**(-6\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341483*-5.\nAnswer: 1707415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - -0.3. Let r(u) = 3*u - 36. Let b be r(17). Suppose g = 4*g - 3*s - b, 2*g - 13 = 3*s. What is the nearest to -2 in 1, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)*1 + sqrt(39))\/sqrt(3).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -104971 to the nearest one thousand.\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 29 = -4*o + 26, 2*z + 5*o = 5. Suppose -55*s + s = -160*s - 83*s. Solve s = -5*l - z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 300 = -i, -8 = 3*i + i. Suppose -5*d + t = -121. Calculate the greatest common factor of 144 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4661.75193 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 3783.\nAnswer: 45396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 198753*o + 1589979. What is b(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 99*b**2 + 5*b + 2. Let n(g) = -2*g**2 + 2*g + 1. Determine 2*n(j) - w(j).\nAnswer: -103*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 11*z + 5. Calculate i(-8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26645752 divided by 200344.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -52*m**3 + 3*m**2 + 3. Let n(h) = 53*h**3 - h**2 - 2. Let p = 35 - 38. Let t(s) = p*n(s) - 2*k(s). Find the third derivative of t(d) wrt d.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-1)\/2 - 13\/(-26). Suppose -7 - 9 = -d*y. Let n = 15 - 10. Solve 0 = -3*k + n*k + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8*x = 0. Suppose 0*s + 5*s - 30 = x. Solve 2*z = s*z + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**2*s**2 - n*s**2 - 2*n*s + 5815*n - 401394*s**2 wrt n?\nAnswer: -4*n*s**2 - s**2 - 2*s + 5815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/((-1323)\/(-540))*(-9)\/12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 - 3*v + 3*v + (-v**2 + 3*v**2 - v**2)*(-1 + 0 + 3) + 3*v**2 + v**2 + 0*v**2 - 3*v**2 - v**2 + 5*v**2)*(5 - 5 - 9)*(-1 + 1 + 1).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -l + 8*p + 20, -15 = 3*p. Suppose -2*d = -l*d. Suppose d = -4*f + 2*f. What is f rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**2\/3 + 119*o\/3 = 0. Calculate o.\nAnswer: -119\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/45*-4*156\/120.\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27418, 54817, 82212, 109603, 136990, 164373?\n\"Answer: -2*j**2 + 27405*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s + 705 = 127*s + 89 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 20 = -2*z, -4*z - 22 = -h. Let l = h + -16. Suppose b - 126 = -3*v, -3*b - l*v + 383 = 2*v. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x + i - 248, -244 = -2*x - 3*i. Let r = x + -69. Let u = r + -25. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3 + 198\/((-42)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s\/(s**17\/s))))*s*s\/(s*s**0))\/((s**(-4)*s)\/s*s**(-2\/49)) assuming s is positive.\nAnswer: s**(1031\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011551 to 7 dps.\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 149*u - 48. Calculate n(49).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348108 + 130121 = 2831*l for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 r, and 1 s when three letters picked without replacement from ruuasarpasssksspa.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 5:22 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316021671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k**(-1\/2)\/k))\/k*k)\/k*k)**(-37)*(k\/(k\/((k**9\/k)\/k)))\/k*(k\/k**(-2\/11))\/k assuming k is positive.\nAnswer: k**(-2713\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97.3 - 97. What is the closest to 5 in 17, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 15. Let o be (3\/6)\/(3 + (-30)\/9). What is the second biggest value in -14, o, p, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**3\/3 - k**2 - k + 3. Let q be t(-1). Solve 5*p = -3*i - 15, -4*p + 7 = -i + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39975 and 3004521.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 45. Let w = a + -8. Let k = w + -21. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/176)\/((-138)\/(-184))*8\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*(1 + 117\/(-91)). Let o = 29 - 15. Let l be 4\/(-15)*(-35)\/o. Put 7, m, l in decreasing order.\nAnswer: 7, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + 41. Suppose -t = -6*r + 68. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/((n**(4\/5)\/n)\/n)*n*n))\/((n*n\/(n\/n**16)*n*n)\/n) assuming n is positive.\nAnswer: n**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - y**2 + 2*y - 10. Let f be p(0). Let w be (-6104)\/(-40) - (-6)\/f. Round w to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(-1*sqrt(891) - sqrt(891))**2 - ((sqrt(891) - (-1 + (-2*sqrt(891) - sqrt(891) - sqrt(891))**2)) + -2).\nAnswer: -9*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*b + 32, 0 = 2*n - 5*b + 3*b + 62. Let m be (36\/n)\/(6\/(-140)). Is m != 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - j - 13 = 0, -5*x - j = -2*j + 11. Let l be (-1)\/(1\/x*1). Suppose l*i - 8 = i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Let t be 73\/((-4161)\/(-171))*1\/(-3). What is the closest to 0 in d, -0.05, t?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -122532, -122493, -122454, -122415, -122376?\n\"Answer: 39*h - 122571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 18*a**3 + a**3)*((-2 - 2 + 2)*(3 - 2 + 1) - 2 - 5 + 2 + 5 + 1 - 4).\nAnswer: 126*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + d + 71. Give f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/75 (b) -8\/7 (c) 0 (d) 1\/15 (e) -0.2 (f) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 5*b - 3*b - 8*b + 6*b + 18*b + (b + 0*b + 0*b)*(4 - 5 - 1) + b + b - 5*b + 0 + b + 0.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10c76 + -7b?\nAnswer: -11024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 56 = 3*i - 44, 4*i + 2 = 3*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u - 4666 = 5*n, -3*u - 3*n = 3501. Let z = -791 + u. Round z to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519808967?\nAnswer: 3, 47, 503, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -325 - -0.162993\nAnswer: -324.837007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67\/4 of a gram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(5 - 28\/4). Which is the closest to 1? (a) -0.09 (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -5, -3, -210, 2 in descending order.\nAnswer: 35, 2, -3, -5, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 541102 + 0?\nAnswer: 541102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/(-2))*(-2)\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/4)*o)\/o)**(-49)\/(o**(-4)*o\/(o*o**(2\/5)))*o**(1\/5)*o**(1\/2)*o**9*o*o**(-5) assuming o is positive.\nAnswer: o**(-1023\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 21*u + u + 2*u**3.\nAnswer: -u**3 - 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.19 or 7\/53?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-12)\/(-1680)*10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1531 + -212033?\nAnswer: -214004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83814964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-50)*5*(-4)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241321 - 134?\nAnswer: -242010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883870 is divided by 797?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.35094\nAnswer: 0.105282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1235374 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oofassafofasomfofoxm. Give prob of picking 2 s and 2 o.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 127, 143, 165, 193, 227, 267?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3378085 is divided by 3668?\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*221\/(-26)*2*-1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.19445095 + -31.194. What is d rounded to six dps?\nAnswer: 0.000451","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 6.6. Let p(y) be the first derivative of y**3\/3 - 2*y**2 - y - 2. Let o be p(3). What is the closest to -2\/3 in 0, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1398689935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2. Let l(y) = 2*y**2. Let u be -2 - 1*(-1 + 0). Let p(k) = u*l(k) - 3*j(k). Let o(r) = 5*r + 6*r - 3*r - r. Determine o(p(t)).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s - 393. Let u(l) = 4*l - 196. Let r(h) = -5*u(h) + 2*v(h). Let g(z) be the third derivative of -z**4\/12 + 4*z**2 - 121*z - 3. Give g(r(y)).\nAnswer: 4*y - 388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -5, -95, -1 in decreasing order.\nAnswer: 10, 1, -1, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 40 = 4*i, -7*i = -4*q - 4*i - 122. What is the common denominator of 1\/32 and 5\/(-10) + 1 - (-138)\/q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + 1)*5 + sqrt(99) - sqrt(99) - sqrt(99)*-1*1)*-2)**2.\nAnswer: 720*sqrt(11) + 14356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4161285 plus -6550429?\nAnswer: -2389144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49248329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 2 + (-2 - 7) + 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l + 4. Let w(v) = -v**2 - 14*v - 6. Let f(k) = -3*o(k) - 2*w(k). Let r(b) = -2*b**2. Give f(r(y)).\nAnswer: 8*y**4 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(28) - 3*sqrt(28)) - sqrt(112)\/(sqrt(16)\/sqrt(4)))**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7*v = 3*v - 2052, -5*q = v - 2589. What are the prime factors of q?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.1. Suppose -18 = p - 4*r, -5*r + 33 = -4*p + p. Let k be (-30)\/(-45)*p\/32. Is k greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1285 or 1855?\nAnswer: 1\/1285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43044262, -43044252, -43044240, -43044226?\n\"Answer: h**2 + 7*h - 43044270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 10. Let r = 11 + -7. Suppose z = 5*b + r*z - 70, -b = -4*z + 9. Let h be y(b). Is h > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -5*a**2 + 1\/3*a**3 + 1\/24*a**4 + 0 - 115\/3*a**5 + 0*a. Let o be m(-2). What is o rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 6*s**2 + 6*s + 2. What is t(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a milligram in micrograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9278, 37440, 84376, 150086, 234570, 337828, 459860?\nAnswer: 600666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, 1 t, and 1 l when four letters picked without replacement from lltstlxblllblbbetset.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370460276 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 5*f - 1. Let r be g(2). Suppose -b - r = -3. Which is smaller: 66 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/60*9\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-26)*(-10)\/(-15). Let t = q + -5\/52. Let f = 27\/4 + -41\/8. Find the common denominator of t and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384181 is divided by 1112?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25158 = -144*b + 26742 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 - 39. Let u = g + 65. Let h = u + 118.0000053. What is h rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3660 = -2*r - 3*r. Let u be (-3)\/4 - r\/(-16). What is the highest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -902?\nAnswer: 90a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 354.22 - 360. Let f = t + 41.38. Round f to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 1302, 3044, 5472, 8580, 12362, 16812?\nAnswer: 21924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92489851 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2.19501 litres to millilitres.\nAnswer: 2195.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61838683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**4 + 6678*j**2*l - 2*l + 56414 wrt j?\nAnswer: 4*j**3 + 13356*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -625 and 348540.\nAnswer: -217837500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80533.5 kilometers in micrometers?\nAnswer: 80533500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.81369 - 2.46?\nAnswer: -4.27369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 - 167. Let s = -8 - -5. Which is the nearest to s? (a) 4 (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**8*w)\/w*(w*w**(-1))\/w*w)\/(((w**(-1\/3)*w)\/w)\/w)**12)**(-13) assuming w is positive.\nAnswer: w**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-18)\/h*h)\/h*h**(1\/12)*(h*h*h**(-2\/25))\/(h*(h*(h**14\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(-8999\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -379, -749, -1103, -1423, -1691, -1889, -1999, -2003?\n\"Answer: 3*w**3 - 10*w**2 - 361*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((8 - 8)\/(-4))\/4. Let k = 3 - 0. Solve k*u - 4 + 1 = q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 7. Let a be l(-7). Suppose a = 5*t - t. Suppose t = n - 4 - 6. Calculate the greatest common divisor of 30 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13375 divided by -25.\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -36*a - 13. Let k be b(-8). Calculate the greatest common factor of 25 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/10 and -107\/1354026.\nAnswer: 6770130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 989 and 569963?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 24*u - 297.\nAnswer: (u - 33)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*v**4 + 6*v**2 + 4 + 107*v**4 + 95*v**4 - 39*v**4 wrt v?\nAnswer: 3672*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 412*y + 423*y**2 - 710*y + 193*y + 196*y + 425*y wrt y?\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (190\/(-228))\/((7\/(-6))\/(-7)). What is the closest to 38 in 5, 0.5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9403*u + 2493*u + 5265584 - 5265584)*(2 - 2*u - 2).\nAnswer: 13820*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(((-2059)\/116)\/71)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*n + 185 - 185 to the form a*n + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 divided by 9.\nAnswer: 142\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 + -55. Let n = -35 + z. Let p(f) = -15*f**3 - 10*f. Let k(j) = -j**3 - j. Calculate n*p(g) + 10*k(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -152 (c) 0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, k: 4, g: 1, w: 3}. Give prob of picking 3 w.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s**3 + 2*s**2 + s - 1. Calculate x(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.36 + -0.86. Is -3\/28 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*n**3 - 27*n**3 + n**3 + (0*n**2 - 2*n**2 + 0*n**2)*(-n + 2*n - 2*n) - 3*n**3 + 5*n**3 + 2*n**3 - 1 + 2*n**3 + 1 + 0*n**3 - n**3 - n**3.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 8 (c) 1 (d) -12 (e) 5 (f) 27 (g) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179686420.\nAnswer: 2, 5, 19, 472859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/1017 - -36592\/5085. Let u = -561\/80 + x. Is 1 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*h - h + 14, 3*h = 2*g - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 7 + 3 - 1. Let o(i) = -96 + 290 - 94 - i - 102. What is 10*o(f) - 4*r(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-390)\/4)\/((-5)\/10 + 0). Let q = g + -192. Solve -o + 6 = 2*t + 3*o, 0 = -q*t + o + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -737 - -732. What is the fourth biggest value in -0.1, y, -1, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -210223?\nAnswer: -210300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -3)*-1 + 7. Let m(n) = -n**3 + 9*n**2 - 7*n + 9. Let i be m(q). Solve -3*c = -g + i, 0*g - 2*g + 5*c + 30 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(15\/((-990)\/(-91)) - (-12)\/(-22)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -1\/12*v**4 + 8*v**2 + 7\/60*v**5 + 0 + 2\/3*v**3 + 1\/120*v**6 + 0*v. What is the tens digit of b(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 166?\nAnswer: 15e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 11*z**2 - 11*z + 20. Suppose 19*k - 12 = 15*k. Let p be 4*5\/4 + k. List the prime factors of u(p).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4, -4\/5, -2\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 32*p + 0*p**2 - 32*p. Let a(w) be the third derivative of w**4\/12 - 9*w**2. Give a(u(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 77. Let h = f - -53. Suppose -5*t = -t - h. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k - 2*k**2 - 2*k**2 - 34*k + 614*k**3 + 1082*k**3 + k**2.\nAnswer: 1696*k**3 - 3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 30. What is the units digit of b(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-33)\/3)*55\/125*-5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 254 + -206. Suppose 0 = -62*k + j*k - 14. Which is bigger: 278 or k?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*j = 15, -19*w = -15*w - 3*j - 40. What is the fourth smallest value in 5, 0.5, -2\/19, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/1 - (-4)\/((-8)\/(-14)). What is the third smallest value in f, -0.3, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029389 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y + 2*y + 2*y)*(4 - 1 - 5 + 0 + 3 - 2 + (0 - 4 + 3)*(0 + 3 - 5) + 1 + 5 - 4) as q*y + d and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 631 - 1 = 0. Let j = -97 - d. Let l be (9 - 1)\/(2 - 1). What is the highest common divisor of l and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*z - 9*z - 7*z + (-5*z + z + 3*z)*(5 + 0 - 6) + (-4 + 0 - 3)*(0*z + 0*z - z))*(z**2 - z**2 - 2*z**2).\nAnswer: -38*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1397179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -380.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w**5 + 25615*w**4 + 4260580*w**3 - 5378605*w**2 - 2127090*w + 3219480 = 0 for w.\nAnswer: -1084, -198, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1568925 and 3639906?\nAnswer: 90997650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 24 - (1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190 - (-200 + 10) - (-1 - 12)) + 49 + 1?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/152595 and 47\/3852?\nAnswer: 65310660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*a + 59, -2*a - a - 128 = 2*y. Let w = y - -146. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8925 + 75310. Let s = -16844 + x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 9 - 11 + (3 + 0 - 1)*(2 + 0 - 3) + 0 + 0 + 2 + 1 + 1 - 3)*(0 - 1 + 4 - 2*x)*(0 + 3 - 5).\nAnswer: -64*x + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + -4*sqrt(14)*-2)\/(sqrt(160)\/sqrt(5)))**2.\nAnswer: 567\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -145731 and 0.7086.\nAnswer: -145730.2914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16240\/72 - ((-55)\/(-180) - (-6)\/(-8)). Calculate the greatest common divisor of 4633 and b.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + ((-112)\/(-34))\/2. Let r = 54.98 - 55.28. Which is the nearest to g? (a) -2 (b) r (c) 1\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -13*j - 341. Let k be z(-30). Solve k*v + 22 = -27 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 673 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ceeeeeocecccce?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 21. Let r = z + 79. Let u = r - 51. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + -12. Is (4 - 8) + i\/(-3) - -1497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -382 + 380. Let p = 0.064 - 0.056. Let s = p - 0.008. Which is the second smallest value? (a) s (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, f: 7}. What is prob of picking 1 f and 1 n?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j - 6*j)*(11 + 6 - 5) + (0 - 3 + 2)*(0*j + j + 0*j).\nAnswer: -61*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 19686*o - 32294883.\nAnswer: -3*(o - 3281)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1) - (-2 - -1). Suppose 28 - 6 = 2*f. Solve i*y = 9 + f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21059 divided by -55759\nAnswer: -21059\/55759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -82*v - 2354. Determine q(-29).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = 4*f. Suppose 108 = f*l - 5*x, -132 = -4*l - x - 0*x. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + u**2 + 3*u + 3. Let g be v(-1). Let p = -1 - -1. Factor -1\/2*x + p*x**3 + x**4 + 1\/2*x**5 + 0 - x**g.\nAnswer: x*(x - 1)*(x + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246856 and 72697?\nAnswer: 34312984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 12) + -20 - (-8 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/10 - (-1)\/2. Suppose 5*b - j*m - 10 = 0, 3 - 4 = -5*b - 4*m. Let q(s) = 50*s + 3. What is the tens digit of q(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33392101339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1800) + ((-3 + sqrt(1800) + sqrt(1800))**2 - sqrt(1800)).\nAnswer: -360*sqrt(2) + 7209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -1001, -6\/679?\nAnswer: -6\/679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 22 = 2*d, -5*f - 85 = 4*d - 9*d. Let r = f + -232. Is -244 != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((247\/26 + -9)\/(-1))\/(0 - -5)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5498320.\nAnswer: 2, 5, 68729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708 = 315*p - 433*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 51*o - 90.\nAnswer: -3*(o + 2)*(o + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8293149 tonnes in nanograms?\nAnswer: 829314900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 15 = -27*q + 7*q + 3*c, -119 = -2*q + 3*c for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14) - 88\/(-14). Let l(h) = -44*h + 2*h**2 + 38*h + 3 + 5*h**2 - h**3. Calculate l(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 32*i**3 - 4*i**2 - i + 1. What is the tens digit of l(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -226730 - -32?\nAnswer: -226687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.745223s in hours?\nAnswer: 0.0188181175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + 1.3. Let d be ((-1)\/(-6))\/(-1 + 2). Which is the closest to 2\/5? (a) f (b) d (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*s*s**2\/s*s)**(-2\/59) assuming s is positive.\nAnswer: s**(-4\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 654, 666, 688, 726, 786, 874, 996, 1158?\n\"Answer: d**3 - d**2 + 8*d + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h\/(h\/h**(-4)))\/h))**23)**(-4\/37)*(h\/(h*h**(2\/3)))**49\/(((h\/h**(-7))\/h)\/((((h\/(h\/(h\/(h**(-7)*h))))\/h)\/h)\/h)) assuming h is positive.\nAnswer: h**(-5339\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*v - 11*v. Find the third derivative of -12*d**3 + d**v - 11*d**2 - 13*d**3 - 18*d**2 wrt d.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -2 - (-24)\/2. Suppose z + 5 = -4*a, -2*a - 48982747 = b. Let d = b + 107582741. Round d to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + -4 + -2 - (3 + (sqrt(96)\/sqrt(4))\/sqrt(12)).\nAnswer: -9 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 + -4 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) -20 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/11 - 30*k**3\/11 - 102*k**2\/11 - 106*k\/11 - 36\/11.\nAnswer: 2*(k - 18)*(k + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*n + 1159 - 327, 4*z + 2*n = -3310. Let s = 10757\/13 + z. Find d, given that 10\/13*d**3 + 0 - s*d**4 - 2\/13*d + 6\/13*d**2 - 8\/13*d**5 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1326.38847 to 0 dps.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 266, 521, 882, 1367, 1994, 2781?\nAnswer: 3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2899*w = 11117*w - 1073551 - 229937 for w.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6 + 11 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 8 = -22 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 8*i + 1. Calculate c(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -20120230?\nAnswer: 20120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08447788 + -16142216.91552212. Let s = 16142375.99909 + p. Let m = s - 159. Round m to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 94. Calculate the remainder when g is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 40.\nAnswer: -39\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -23778626 not equal to -23778625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/432011054?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15098593.037 take away 0.062?\nAnswer: -15098593.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5 + 3. Let x(b) be the first derivative of 0*b - 2 + 3\/2*b**i - b**3. Let x(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + 1 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - 82*s**2 - 149*s - 108. Let h(k) = k**3 + 41*k**2 + 74*k + 56. Let t(i) = 5*h(i) + 3*x(i). Let g be t(-39). Which is greater: g or -84?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3962*w + 4908*w + 15487 = -13373*w - 428402 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*n - 393 + 503 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17563 * 5.\nAnswer: -87815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 20, -3*u = 4*t - 5*t + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27455 divided by 17\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*sqrt(720) - (-4*sqrt(2500))\/sqrt(5))**2.\nAnswer: -456*sqrt(5) + 28889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 9*z + 14. Let m be y(-4). Let t = m - 19. Let b(f) = -49*f**3. Let g be b(-1). Calculate the highest common factor of g and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 13, b: 6}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -595 = -96*q + 1029 + 392. Solve 2*w = 2*z - 4, 5*w - 17*z = -q*z - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u + 208. Calculate h(-22).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16936, 33872, 50808, 67744?\n\"Answer: 16936*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s - 4. Let n be a(3). Suppose 3*t + 19 = -n*i + 4*t, 0 = -5*t - 5. Let b be (3 - 5)\/(2\/i). Solve -2*f - 2*f = 0, -h - b = 2*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 36 (b) -0.109 (c) 5 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14 = -5*u, 0 = -2*a + 3*u + u. Let y be (-2)\/a*4\/(-1). Suppose y*l + 3*g - 18 = -1, -5*l = g - 10. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.1 (b) 7 (c) -0.3 (d) 87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18fe9 (base 16) to base 15.\nAnswer: -20502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01496 + -5.04196. Let m = 0.027 + y. Let l = 5.46 + m. Round l to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**5\/20 + j**4\/6 + j**3\/3 + 2*j. Is b(2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15451 is divided by 5149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1502 - -1512. Is k bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*l**2 + 18*l**2 + 9*l**2 - 4*l**2 + 1 in the form x*l + t + q*l**2 and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-12))\/(330\/2970).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7 - ((5 - 7) + -324)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpwpzfasfsww. What is prob of picking 2 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 23.597\nAnswer: -94.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220696 and 970984.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {m: 1, v: 1, q: 17}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*d + 13. Let v = 4 - d. Let l(z) = -v*z - 2 + 2. Let c(a) = 2*a. Determine l(c(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-84))\/(28\/49)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 414*i + 795 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -468.9 - -450. Let k = i - -19. Let w(z) = z - 1. Let p be w(4). Is k at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.02, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 1341347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471454939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1195663 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-216)*-18*(-96)\/896?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((4*-4*(sqrt(288) + -1 + sqrt(288)) + -3*(sqrt(288) + -1) + -5)*-2)**2)*1.\nAnswer: -47040*sqrt(2) + 1411981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14190 and 19470?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.36391 millimeters in micrometers?\nAnswer: 72363.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(720) - (sqrt(720) + 4*sqrt(720))*1) - (-5 + (sqrt(720) + 3 - sqrt(720)) + 4))*-4*5)**2.\nAnswer: -76800*sqrt(5) + 4609600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + w - 66. Let p be (-612)\/(-22) - 4\/w. What is the greatest common factor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -23 + (-20 - -9 - -9). Which is the closest to o? (a) -4\/3 (b) -3 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1)*6\/(-16). Let d = 47 + -48. Which is the biggest value? (a) -3 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11457763, 11457767, 11457771, 11457775, 11457779, 11457783?\n\"Answer: 4*b + 11457759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4 - -6) + -2)\/(-1). Is -1\/23 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34146 + 34146 - 15*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l**2. Let z(k) = -11*k - 23. Let j(b) = -60*b - 116. Let t(f) = -2*j(f) + 11*z(f). Give h(t(a)).\nAnswer: -6*a**2 - 252*a - 2646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5845, -11546, -17247, -22948?\n\"Answer: -5701*f - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -171 or 3069?\nAnswer: 3069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 237568 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + (-75)\/9)\/(8\/(-54)). Solve 14 = 2*s - 5*g + r*g, -3*g = -6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87486 divided by 29162?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 202 = 5*k, 3*k + 178 - 59 = -u. Let h be 5\/2*32\/k. Let x be 1 + h + (-3)\/6. Is x <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + (-2 + sqrt(2057) + sqrt(2057) + 3)**2 - (-4*sqrt(3400))\/sqrt(2).\nAnswer: 95*sqrt(17) + 8229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -5. Let k = 2.7 - 3. Let b = k - -0.2. What is the closest to 0.2 in b, w, -4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1050*x**2 - 1045*x**2 + 3141*x**2 + 12*x - 1045*x**2.\nAnswer: x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = 22*z - 3277. What is the greatest common divisor of 329 and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44771, -89684, -134597, -179510, -224423?\n\"Answer: -44913*c + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, e: 2, l: 1, n: 9, j: 1}. What is prob of picking 1 e, 1 f, and 2 n?\nAnswer: 72\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 6*b + 2*b. Let n = 18 + -2. Calculate the least common multiple of n and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3900)\/175 - 28\/(-98)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9472 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Suppose -z + 91 = -s*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.25815m in micrometers?\nAnswer: 60258150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7625, 3, 1\/12.\nAnswer: 1\/12, 3, 7625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 41 = 10*s - 11*s, -5*p + 40 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.19301 meters in millimeters?\nAnswer: 14193.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 47079?\nAnswer: 47075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375171 (base 9) to base 4.\nAnswer: 313120300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*x**2 + 10\/9*x + 0 = 0. What is x?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 5*w + 2. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, y: 2, c: 3}. Give prob of sequence yc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36168*r - 135 = -36195*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, z: 1, v: 2, f: 4, w: 6}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c**5 - 23*c**4 + 3*c**3 - 23*c**2 + 4*c + 7. Let i(f) = 10*f**5 - 22*f**4 + 6*f**3 - 22*f**2 + 4*f + 6. Let b(h) = -7*i(h) + 6*u(h). Factor b(x).\nAnswer: -4*x*(x - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 0*n + 4*t = 16, 0 = -5*n - 5*t - 2576 + 2526 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51628327 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2155 is divided by 545?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*p*w*z**3 - 2*p*w + 65*p*z + 62*p - 2*w*z - 2*w wrt z.\nAnswer: 27*p*w*z**2 + 65*p - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.138 + -4.338. Which is smaller: g or 1086?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7 + 3. Let o = x + -0.1. Let y be (-128)\/192*2\/4. Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -226 + 224. What is the common denominator of -53\/48 and 1694\/528 + (-5)\/p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250 - 554 - 3*a**3 + 6*a**3 + 223 + 305.\nAnswer: 3*a**3 + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18338, -37531, -56724?\n\"Answer: -19193*i + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:31 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 7*r**2 + 4*r + 4. Is z(-8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-120)\/(-12))\/(-20))\/(2\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + r + 4*r)*(0 - r + 0) - 2*r**2 + 13*r - 13*r - 2 + (-1 + 3 + 0)*(-5*r**2 + r**2 + 2*r**2) to the form m*r**2 + a + g*r and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10508*d - 82*d**2 - 10508*d - 5 to x*d + w*d**2 + m and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 10*j**2 - 7*j + 18. Let m be c(-9). Suppose 0 = 5*s + 2*r - 20, -20 = -4*s - s - r. Solve m*i + s*i = 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.6 - 0.6. Which is the second smallest value? (a) 2 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - b + 0*b)*(2401*b**3 + 2195*b**3 - 190*b**3) in the form y*b + z + p*b**4 + a*b**3 + i*b**2 and give p.\nAnswer: -4406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1025678925*i*s**3 + s**3 - 20515*s - 10080 with respect to i.\nAnswer: 1025678925*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c\/(c\/(c**(1\/9)\/c)))\/c*(c\/c**11)\/c)**(-17\/5))**(-19) assuming c is positive.\nAnswer: c**(-31654\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -4*i - 31, 2*i + 142*k - 23 = 7*i + 141*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.08921168 to 4 dps.\nAnswer: 2.0892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*s - 6 + 8*s**3 + 0 + 31*s**4 - 2*s**2 - 2 - 29*s**4 to w*s + p*s**3 + r*s**4 + b*s**2 + g and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -488, -502, -530, -578, -652, -758?\n\"Answer: -s**3 - s**2 - 4*s - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 28. Let d be s(15). Suppose -4 = d*y - 20. Suppose -3*j = j - y. Is 3 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/35)*t**20\/t)\/(t\/(t\/(t*t**17*t*t)))**(-22\/5) assuming t is positive.\nAnswer: t**(3746\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1132804 times -2?\nAnswer: 2265608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + 3868\/(-17406)*(-27)\/(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3.125945417.\nAnswer: -1.125945417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 8*h - 5. Let s be b(-9). Let i be (6*(-3 + s))\/2. Suppose i*t - 5*u = 5*t, -t = -u. Solve j + 0*j + 1 = t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16803838 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -7. What is f rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 45 = -9*c. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -205, -201, -197?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43*85\/10965)\/(((-3)\/(-498))\/(3\/2))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -47 - 101\/3*u**3 + 121\/4*u**4 + 0*u**2 + 0*u. What is the third derivative of l(h) wrt h?\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90492, -90490, -90486, -90480, -90472?\n\"Answer: f**2 - f - 90492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*s - 7*s - 9*s - 3978 = 108*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**7\/1050 - q**6\/120 - q**5\/50 + q**4\/30 - 10*q**3 + 2*q**2 - 4. Let g(n) be the first derivative of i(n). Factor g(a).\nAnswer: -(a + 2)**2*(4*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3 + 4*y**5 + 79*y**3 - 32*y**2 - 73*y**4 + 39*y**4 = 0.\nAnswer: 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24113 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347461243*a + 347461243*a - 18*a**2.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 4*b - b - 19.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -459745382?\nAnswer: 459745379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.3735 + 1.4225. Let k = 0.196 - d. What is k rounded to 0 dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5)\/((-125)\/325)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1010000111100110110?\nAnswer: 1010000111100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 s, and 1 f when three letters picked without replacement from sjhif.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 554518174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 410 - 395. Suppose r = 2*s + 11, 23 = -2*s + g*r - 10*r. Is s greater than or equal to -29\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17100 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15189240?\nAnswer: 2, 3, 5, 11, 37, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 854 - 854.2. Suppose 20 = 2*o + 2*o. Suppose 4*h + 2*a = 36, o*h - 2*h - 2*a = 27. Sort v, -2\/7, h in ascending order.\nAnswer: -2\/7, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 20 = -a, -2*l + 30 = l + 5*a. Let j be 152\/l + (-14)\/70. Suppose 83 = 2*t + j. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5)\/g*g*g*g**(2\/7)*g*g)\/(g*g**(-1)\/g)**5*(g**(1\/7)*g\/g**(3\/2))**(-2\/63) assuming g is positive.\nAnswer: g**(1895\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -3 - (-7250785703)\/(-12803504). Let h = 12\/114317 + r. Let x = h - -563. Calculate the common denominator of -13\/6 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -13*q - 11. Let x be u(-3). Suppose -6*w = w - x. Let 7 - 8*h**w - 6*h**2 - 4*h**3 + 10*h**4 + 8*h + 1 = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + 21*u**2 + u**3 - 16*u**2 - 5*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-464)\/290)\/(38\/(-665)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*6\/9. Let m = 1883\/9 + -209. What is the second smallest value in g, m, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3481 + 3480. What is the nearest to p in -2\/17, 5, -2\/63, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = q + 25. Solve -q*u = 2*c - 29, c = 3*c - 4*u + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.91 - -1.41. What is the second biggest value in 0.5, -3\/5, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135023 - -259252. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6604 + 1021341?\nAnswer: 1011434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 3\/(-6)*6. Let z(x) = -x - 3. Let k be z(-4). Let l = 3 - k. Solve w = -4*q - 8, q + t = -l*q + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*p, 11*p - p + 5 + 0 = -3*q + 5*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216*k**2*r**2 - 79*k*r**2 - 2*k*r wrt k?\nAnswer: 432*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 713320824 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*g + 110 = -124*g. Solve -g = -2*f - 3*n - 2*n, -4 = -f - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 495268, 990538, 1485808, 1981078, 2476348, 2971618?\n\"Answer: 495270*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:25 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+2634209.3\nAnswer: 2634208.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*h - s + 24, 3*h + 3*s - 30 = 0. Let n(m) = 3*m**3 - 17*m**2 - 7*m - 13. Is n(h) 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 43569 and 21284091.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6, o - k + 0 = -1. Let a = o + 19. What is the lowest common multiple of a and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**3 + 3*k**2 - 4*k + 3. Let m be g(2). Let z = -25 + m. Solve -w + s = 4*s - z, 0 = 4*w + 5*s - 21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-43397)\/(-140))\/(453\/6). Let m = -82660565\/1057 + 78203. Let n = m - w. Calculate the common denominator of n and 27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h\/(h*h**(1\/2)*h)*h)\/h*(h\/((h*(h\/(h**(29\/2)*h))\/h)\/h)*h)\/h assuming h is positive.\nAnswer: h**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, -5, 5 in descending order.\nAnswer: 112, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 22*d**2 + 32031936*d + 128255615488512\/11 = 0.\nAnswer: -8007984\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -5, -10, -15?\n\"Answer: -5*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - x**2 + 2*x - 11. Let o be m(9). Suppose 7 - o = -8*a. Let q = a + -48. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/3635 + 432553\/21810. What is the common denominator of j and 125\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*z**2 - 25 + 25 to the form v + m*z + r*z**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000784447147 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 6.83.\nAnswer: -61.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1159*y**4 - 87*y**3 + 31325*y - 3 wrt y.\nAnswer: 13908*y**2 - 522*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Let r(m) = -18*m**2 - m + 1. Let t(u) = -6*f(u) - 2*r(u). Is 14 a factor of t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6519 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 3*o**2 - 2*o - 3. Give s(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 153, 43, -67, -177, -287?\n\"Answer: -110*b + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 68, 6, 1 in ascending order.\nAnswer: -1, 1, 2, 6, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2376669445 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -121, -35, -12?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.06 (c) 5.958\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 - -6 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77121 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.012*-0.35606\nAnswer: -0.00427272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 56069 = -10151. List the prime factors of l.\nAnswer: 2, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.4 (c) 1\/10 (d) -1\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -123119 in decreasing order.\nAnswer: 9, -2, -123119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 5)*(0*l**2 + l**2 - 2*l**2) - 486*l**2 - 1119 + 2233 - 1109 as f*l + s + v*l**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 + 2323616*h - 337449457216 = 0. Calculate h.\nAnswer: 290452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(19)*-2 + sqrt(19))**2*2 + -2 - (-1 + ((-1 + sqrt(171) - sqrt(171)) + sqrt(171))**2).\nAnswer: -135 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.6 (b) 0.76 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.229? (a) 2 (b) -0.0482 (c) 8\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/102 and 57\/26?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 47. Suppose -3*t + 3*p - 4*p = 23, b*t + 29 = -4*p. Which is smaller: t or -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2\/2 + 79716*p + 159426 = 0. What is p?\nAnswer: -53142, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 bigger than 891\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5.2. What is the closest to -2\/7 in -0.5, 5\/6, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/((w*w*w**3\/w)\/w)*w)\/w)**(5\/18)\/(w**(-17)*w*w*w\/(w*w**(2\/21))))**23 assuming w is positive.\nAnswer: w**(42941\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(2\/19)*d**(1\/6))\/((d*d\/d**4)\/((d**10\/d*d)\/d*d)) assuming d is positive.\nAnswer: d**(1603\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4 + 2688*n**2 - 7507*n?\nAnswer: -24*n**2 + 5376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*z**2 + 455356*z + 70056.\nAnswer: -4*(z - 8757)*(13*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 43*w - 1674. Let t be g(39). Which is the smallest value? (a) -2 (b) -0.4 (c) 623 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.99 - -4. Let f = -0.01 - 0.99. Which is the biggest value? (a) n (b) f (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101417 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3616993.\nAnswer: 3616993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -621 - -852. Calculate the remainder when x is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 5, f: 15}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 99*b**2 + 150*b - 3600.\nAnswer: 3*(b - 5)*(b + 8)*(b + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 9)*6180\/(-15). Let d = q + 11627. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + (0 + sqrt(405) + 1 - sqrt(405)) - (sqrt(405)*-1 + -3))**2.\nAnswer: 144*sqrt(5) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 14*f**2 + 18. Let c be w(14). Let z be 33\/6 - 4\/(-8). What is the highest common factor of z and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g - 99798 = 106905. List the prime factors of g.\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 302330120 - 1?\nAnswer: 302330114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*h**2*j**2 - 72*h**2 + 4*h + 11*j**3 with respect to j.\nAnswer: -188*h**2*j + 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.26 >= -16082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -849 + 1004. Solve 0 = -f*z + 162*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4729723 or 4729741?\nAnswer: 4729723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or -2\/1193?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/11))**(-11\/5)*w\/w**(-3)*((w**(-3\/20)\/w)\/w)\/w*w assuming w is positive.\nAnswer: w**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250620688.\nAnswer: 2, 3251, 24043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2175\/2*a - 255\/2*a**2 - 5\/2*a**3 + 29435\/2.\nAnswer: -5*(a - 7)*(a + 29)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-14)*(-1155)\/(-110)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20153146?\nAnswer: 2, 13, 775121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3724, 8026, 12338, 16666, 21016, 25394?\n\"Answer: l**3 - l**2 + 4298*l - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j**3 + 2*j**2 - j**2 - 3*j**2 + j**2 - 2*j**2 - 2*j to r*j + p*j**3 + k*j**2 + x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = a - 9. Let v be ((-3)\/9)\/((-2)\/30). Suppose -2*t = 5*i - t - 25, 0 = -i + a*t + v. Solve -5*h - 5*f + i = -0*f, 15 = 3*h - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -22*x + 12. Suppose -3*i - 2 = c - 0, -x = -i + c. Let -10\/9*d**3 + i*d + 2\/9*d**4 + 4\/9*d**5 + 0 + 4\/9*d**2 = 0. Calculate d.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from corcnopn. Give prob of sequence ocn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*j + 7. Suppose -2*f + 3*l = -4*f + 12, -3*l = -f - 3. Suppose j*r + 4 = -f*k - 2, -5*r - 20 = 0. Solve -n = k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6082\/53 - 2540315\/22154. Find the common denominator of -23\/32 and c.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15*z**2 - 6*z + 6. Let x(v) = -59*v**2 + 22*v - 22. Let n(j) = 22*w(j) + 6*x(j). Let p(r) = -2*r**2. Determine n(p(y)).\nAnswer: -96*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94803\/86968 + 5\/6212. Calculate the common denominator of -67\/56 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 - 132. Let d be (1 + 2)\/((s + 2)\/(-3)). Solve 2*r - d*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 37 = 19. Let g be 5\/(-2)*p\/5. Let z be (8*-1750)\/(g\/(-400)). Round z to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - -2)*126\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*w**2 + 10*w**3 + 32*w**2 - 27*w**3 wrt w.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -w + 5*z - 10, -2*w + z + 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + 2*t**3 - 7*t**3)*((-2 - 2*t + 2)*(2*t - 1 + 1) - 372*t**2 + 510*t**2 + 160*t**2).\nAnswer: -882*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 3 = 6*u. Suppose -x = u*w - 16, -3*w + x + 13 = 2*x. Solve 3*o + 9 = w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9 = -2*d. Suppose d*m - 15 = 2*m. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 36*p + 120. Let n be d(-4). What is the remainder when (-1)\/4 + 8939\/28 + n is divided by 111?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, r: 4, n: 7}. Give prob of sequence nx.\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74327 is divided by 448.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2106549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 - m + 3. Let z(t) = 54*t**2 + 12*t + 42. Let i(x) = 12*o(x) - z(x). What is i(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10331219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3065622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 241 - 40?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -122625 (base 8) in base 6?\nAnswer: -524125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/49)\/(70\/(-196)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 7 + 41)*(-y - y - y)*(1 - 2 + 2).\nAnswer: -150*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4543640 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 541415 and 413850?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 39*m - 58 = 5*k, 0 = -m + 2. Put 0, 1, -4, k in decreasing order.\nAnswer: 1, 0, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76508230 rounded to the nearest ten thousand?\nAnswer: -76510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Let z be q\/((-1 - -4)\/12). Suppose 12 = 4*r - z. Which is the second smallest value? (a) -5 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199885 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 11. Calculate the common denominator of 32 + -30*(-1)\/3 and -2 - z\/(39\/(-48)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*z - 5491 = 279*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:14 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - 120. Let g = -8 - z. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6059554 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1337917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.185 - -0.215. Let m(i) = -i + 2. Let k be m(4). Let n be 5\/(-2)*(-4)\/55. What is the closest to k in n, -5, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472146547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let v be p(2). Let c(t) = -4 - t**2 - 2 - 3*t**v + 7*t. Let x(o) = 5*o**2 - 8*o + 7. Let s = -87 + 81. What is s*x(h) - 7*c(h)?\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18892 minus -0.1?\nAnswer: -18891.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157153 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -14*h**3 + 15*h**3 + 13*h**2 + 9 - 24*h**2 - 13*h. Let k be s(12). Let f(o) = -o**3 - 5*o**2 - 3*o + 4. What is f(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - v = 3*n + 7, 5*n - 37 = -4*v. Suppose 0*q - 13 = -i - n*q, -4*q = -3*i + 77. Let l = 9 + -6. Sort i, l, -2, 1 in decreasing order.\nAnswer: i, l, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j - 1622250 = -42*j. What is j rounded to the nearest 1000?\nAnswer: -324000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 7*x**2 - 7*x + 9. Let d be b(6). Let r be ((3 - 2)*-3 + 2)\/((-55)\/(-385)). Let v be (-87)\/58 + 10\/4. Put d, r, v, -5 in decreasing order.\nAnswer: d, v, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17985 and 560805.\nAnswer: 6168855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8*0\/1. Suppose f = -2*t - 13 + 119. Let b = t - 29. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46886*y = -46868*y - 3667338. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 213060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/3 - 280\/192)*-6. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 9*l - 5. Let w(b) = -5*b - 2. Let c(y) = y**2 - 1. Let k(t) = c(t) + w(t). What is -7*k(s) + 4*x(s)?\nAnswer: s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 2:10 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55301768 is divided by 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqdl when four letters picked without replacement from {l: 2, d: 2, q: 1, t: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 36 = -27*y. Solve 0 = -3*h - 6*u + 3*u - 3, -y*u = -2*h + 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 + 10*g**2 - 14*g - 219. What are the prime factors of h(-9)?\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12))**2 + 5 - (sqrt(3) + (sqrt(3)*-1)**2 + 4 + sqrt(3))) + sqrt(6)\/(sqrt(8)\/sqrt(4)) + 0.\nAnswer: -sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 58.5. Let d = -34.5 - o. Let k = d - -45.0000224. What is k rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**3 - 8*r**2 - 8*r - 1. Let c be d(-1). Solve c = 5*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146498 or -144308?\nAnswer: -146498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m + 5. Let o be n(0). Let b = o + 0. Suppose -3*u - 6 = -b*u. Solve 4*a - a + u = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 176904.89965 take away -18665?\nAnswer: 195569.89965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 4*c - 3. Let l be 28\/(-8)*8\/(-7). Suppose -q = -l*q - 9. Calculate s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most 81\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2 - 6*j - 1. Let t(z) = -4*z**2 - 2*z. Let u(w) = -6*t(w) + 2*x(w). Let n(y) = -39*y**2. What is u(n(c))?\nAnswer: 15210*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 4*r**2 + 2*r**2 + (3 - 3 - 1)*(2*r - r - 3*r)*(0 + 1 + 0)*(758*r + 3240*r - 588*r).\nAnswer: 6819*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 117 in -0.04453, -89, -1\/7?\nAnswer: -0.04453","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 1\/30*o**5 + 0 + 46*o + 0*o**4 + 0*o**3 - 15\/2*o**2. Let q(f) be the first derivative of n(f). Calculate q(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5753633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 30800594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -155, 2\/9, 4, 1, 24, 0.1?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 109 = -173. What is the greatest common divisor of 73 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.26774 + -105603?\nAnswer: -105606.26774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158 (base 11) to base 15.\nAnswer: c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*i - 38*i + 16*i)*(2*i - i + 0*i)*((4*i + 3*i - 6*i)*(0*i + 2*i - i) - 3*i**2 + 3*i**2 + i**2).\nAnswer: -80*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {b: 1, m: 2, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -84, -5, -1677.99, 4 in decreasing order.\nAnswer: 4, 3\/8, -5, -84, -1677.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -1 + (-3 - -3). Let x(t) = 11*t**2 + 6*t. Let k(r) = -4*r**2 - 2*r. Let p(m) = y*x(m) - 8*k(m). What is the second derivative of p(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, 1\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 388*h - 398*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 103, 202, 301, 400, 499?\n\"Answer: 99*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/35)\/(4\/10). Suppose -4 = -q - a. Find the third derivative of -k + 108*k**q - 112*k**2 + k + 13*k**4 wrt k.\nAnswer: 312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 238012867172 and -3.\nAnswer: 238012867169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 54. Let f = -120 + g. Let n = 111.9999841 + f. Round n to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(142953\/(-6) - 7)\/1?\nAnswer: 5, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 29 - 37. Suppose 0 = 14*i - k*i - 488. Calculate the remainder when 242 is divided by i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) -1\/12 (c) -481 (d) 0.5 (e) 34 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/12)\/w**(1\/3))\/(w**(11\/2)*w**(-4)*w) assuming w is positive.\nAnswer: w**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1*22\/2. Suppose 150*d - 1052 = -10*d - 103*d. Sort d, 0, m in increasing order.\nAnswer: m, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 33*b - 209. Let f be i(23). Suppose -3*j - f = -42. Calculate the remainder when 552 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -122, 0.3, -45?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 367 = 879. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 4, 2\/121, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 15*l + 16. Determine i(-17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440.7771 years to centuries.\nAnswer: 4.407771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 10:14 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 - (-7)\/(-28). Which is smaller: i or -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 2, m: 5, j: 1, g: 3, x: 6}. Give prob of picking 1 m, 1 t, and 2 g.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/3 (b) -0.3 (c) -4724815\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (6 - 6 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 36*f - 1. Let i(r) = -180*r - 6. Give 2*i(p) - 11*z(p).\nAnswer: 11*p**2 + 36*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189557 is divided by 170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367 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: Is -1385 > -184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 3*b - 2190, 887 = -2*z - b. Let i = 1008 + z. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333776421, -333776422, -333776423?\nAnswer: -333776424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*v + 9296 = -118*v. List the prime factors of v.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 299 + 65. What is the highest common factor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**2\/2 - 2571650*h - 661338372250 = 0?\nAnswer: -514330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361892 is divided by 3583.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/60 + m**4\/3 + 8*m**3\/3 - 2*m**2. Let v(l) = 8*l. Let c be v(-1). Does 16 divide d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690055 is divided by 344969.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w - 6. Let z = w + -2. Solve -j - z = -0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/95692 and -49\/95692.\nAnswer: 95692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6096056 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29154423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v*v**(3\/7))**(-3\/11) assuming v is positive.\nAnswer: v**(-30\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 4*i - 358*i**3 + 250*i**3.\nAnswer: -108*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 80, 0, -2, -13, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701369 is divided by 1555?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169474 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 111 = -1103. What is the greatest common factor of 31 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 6. Let m be t(-3). Let z(u) be the third derivative of m - 1\/84*u**4 - 1\/21*u**3 + 1\/420*u**6 + 0*u - u**2 + 1\/210*u**5. Factor z(n).\nAnswer: 2*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dudhdffffffnmhd. Give prob of sequence uf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -3*a + 1\/2*a**4 - 1\/6*a**3 - 7\/2*a**2 + 0 + 1\/20*a**5. What is the units digit of f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-16 - (-12 - -2) - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 29 + 4, z + 3*n = 1. Let f(s) = s**2 - 12*s - 50. What is the remainder when 69 is divided by f(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56237\/69 + 815. Which is smaller: -0.33 or z?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12279.25985 to the nearest one hundred.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230 and 138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159 - 158. Let q = -2673 - -2678. Solve v = -q*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 36.\nAnswer: 1, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:42 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x - 852 + 1709 - 857.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38 (b) 5 (c) 1 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21852660 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 1 = -3*s + 7, 2*s + 9 = -5*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-20046)\/(-156))\/257)\/((-4)\/352)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13035 * -148\nAnswer: -1929180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4171 - (6 + (-65)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*l + 0*l + 24 = 0, -4*l + 12 = 4*b. Let o be b\/(0 - 1\/(-4)). Let h = o - -12. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dztktkrkdtttjktkkz. Give prob of picking 1 k and 1 t.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 0*q**2 - 8 - q**2 + 3*q. List the prime factors of c(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s + 26. Let m be o(-10). Let y = 16 + m. What is the third derivative of v**2 - v**6 - 2*v**y - 6*v**2 - 6*v**6 wrt v?\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2*r = -90. What is the hundreds digit of (-588)\/r*3 + (-1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {h: 1, k: 1, x: 2, p: 1, e: 1, g: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {e: 2, w: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1547 and 1\/1326?\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*(1 - 0))\/(40\/(-200)). Suppose -4*f + 9 = -f. Let s(p) = 3*p - 7 - f*p + 2*p. Give s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-10) - (-42)\/70. Let j(o) = o - o + o**2 - u*o + 21 - 11*o. Is 19 a factor of j(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 9:42 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 3*y + 33, 0*z + y + 11 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161 - -162. Let b = -5 + 4. What is the smallest value in l, b, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 1. Let p be k(-5). Let n = -6 - -1. Let x(b) = b**2 - 83*b - 355. Let r be x(87). Put p, n, r in ascending order.\nAnswer: r, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 9*v**2 + 6. Let i = 6 + -15. Let d be b(i). Suppose 2*r = r + d. Let k(s) = s**3 - 6*s**2 - s + 7. Give k(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(2 + 39\/4). Is s + (-1 - (-1 + 1)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 146 - 4*i + 147 - 3*i + 3*i. Let n(o) be the third derivative of -o**5\/60 + 5*o**4\/24 - o**3 - 2*o**2. Give n(c) + 4*v(c).\nAnswer: -c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491865 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.03 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*z**4 + 9*j**3*z - 24*j*z**6 + 2*z**2 wrt z.\nAnswer: 48*j**3*z - 2880*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p**5 - 2684*p**4 + 972824*p**3 + 2452676*p**2 - 1469208*p = 0. What is p?\nAnswer: -554, -3, 0, 1\/2, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -151, -342, -629, -1024?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 1. Let y be f(-6). Let n be 26\/22 + (-8)\/44 - -2. Solve -n*u = -y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -203330200?\nAnswer: -203330203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-936)\/(-693) - (-20)\/70. What is the nearest to o in 0, -0.06, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*k + 59 = 0, k - 220 = -5*p - k. Suppose -29*o + 5573 = 701. Calculate the greatest common factor of p and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -49*v - 2375. Let i(n) = -65*n - 2374. Calculate 3*i(m) - 4*y(m).\nAnswer: m + 2378","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*j + 84 - 660 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12413233 (base 5) to base 2\nAnswer: -11110000000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26002062433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 25*a**2 + 2*a + 1. Let i be q(-1). Let b = i - 15. Does 3 divide (3 + 0 - 0) + b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 24 = b. Suppose -3*s + 9*s - b = 0. Suppose -s*u + u = 120000. What is u rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -959 + 1535. Let d be 2\/11 + u\/(-1716). Sort d, -2\/9, 0.1 in decreasing order.\nAnswer: 0.1, d, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1452584 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - 45) + 4 + -2 - (0 - (1 - -52))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u - 12*u - 82 + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 4*i**2 - 119*i - 18. Let o be r(-9). Let f = 51 + -48. Which is the closest to -1? (a) f (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -184 - -179. Let x(b) = b**2 - 10*b - 10. Let a be x(11). Let m be k*a*268\/2. Round m to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1.9795. What is v rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19\/9 - -22\/9. Let a = 1 - 5. What is the second biggest value in a, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 6*t - 1. Let g be y(-7). Suppose -g*i + 4*i = -48. Let z = -11 + i. What is the remainder when 50 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -1\/225, -5, 0.3 in increasing order.\nAnswer: -27, -5, -1\/225, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.2. Let w = 304 + -307. Which is the third smallest value? (a) 0 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 36. What is the highest common factor of r and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -23?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + c + 2*c)*(c + 2*c - 2*c)*(1053 - 1423 + 784).\nAnswer: -828*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 minus 60633?\nAnswer: -60590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -652 - -265. Let m = g + 384. Put 0, m, 4\/3, 0.4 in increasing order.\nAnswer: m, 0, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 7 + 15*y**2 + 78*y**2 + 77*y**2 - 145*y**2 - 14.\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/28 - 2\/7. Let p = 0 + 1. Which is the closest to p? (a) 3 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4, 0.012, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 652\/3? (a) 4 (b) 288 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37840049629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389224 + 187650 = -63*l + 204524. Calculate the greatest common divisor of 154 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {r: 2, a: 1, u: 1, b: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -t + 15, 739*t = m + 1467*t - 741*t + 195 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 14) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000074025199 rounded to seven dps?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*o + 18, -2*v - 22 = -7*v + 2*o. Solve -m = v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 19*b**2 + 79*b - 69. Determine f(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39709\/10 - 3959. Find the common denominator of ((-1)\/(-5))\/((-2)\/(-155)) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53534 and 435.\nAnswer: 803010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 3 = 0. Suppose b - 4*a = 5 + 8, -t*b = -4*a - 23. Calculate the least common multiple of (-31)\/(-4) - (9\/12 - 1) and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 14*g - 13. Let j be d(13). Let y = -30 - j. What is the units digit of (-2 - -231) + (2 + y - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1170 + 1172. What is the nearest to 0.04 in 18, c, 0.07, -0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002987 rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0201 and 2.\nAnswer: 0.0402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42, 160, 364, 660, 1054?\n\"Answer: k**3 + 37*k**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14258 and 2?\nAnswer: 28516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349245422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14046520 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -538, -0.5, -4\/7, 3, 2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4876 or 4877?\nAnswer: 4876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 832 and 2548.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-63)\/(-42)*20\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 bigger than 849\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let j(b) = 5*b**2 - b + 1. Let k be j(f). Let l(d) = d**3 - 5*d**2 + d - 2. Is l(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24 - 10 = 0. Let k(t) = 2*t - 12. Let m be k(f). Let v = -2 - -1.9. Which is the closest to m? (a) v (b) -0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -26. Let p(y) = -y**3 - 5*y**2 - 4*y - 6. Let j be (-16)\/3 - (-2)\/6. Calculate the least common multiple of p(j) and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i + 0*i - 12*i - 2*i as y + n*i and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k**2 + 430*k - 867. Give y(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-60) + 6\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*w, 5*w + 6 + 5 = z. Suppose -4*m = -2*r - 20, r - 17 = -5*m + z. Suppose 0 = 2*k - 6, -q = -m*q + 3*k. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 7:15 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 31*r + 257. Calculate c(-10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -784268 divided by -6\nAnswer: 392134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhhvyvdhvvdy. What is prob of picking 1 h, 2 y, and 1 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g - 33. Let b be t(-8). Suppose -10*l + b + 13 = 0. Suppose 3 = -l*o + 11. Solve 3*w = -2*n - n, -o*w - 20 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12120121100 - -112?\nAnswer: 12120121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 32. Suppose z*f = 0, 5*m = -0*m - 3*f + 85. What is the remainder when 67 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/112)\/((-75)\/(-12))*(-60)\/27?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 71 = l + 94, -3*l = 5*p + 45 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 800*q - 804*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3999, -7999, -11999, -15999?\n\"Answer: -4000*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*v = -3*a + 22, -2*v + 16 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 0 + sqrt(1700) + 4)*-2 + -2)**2*-2.\nAnswer: -54600 - 1600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a day in hours?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**1*s)\/s)**1 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + -87. Suppose 0 = 3*d - 2*d - 5*l - q, d - 4*l - 4 = 0. Solve d = 4*f + 16, 5*y = -0*f - 3*f - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 6:55 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24696\/196*9\/27.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227901 - 238651 = -116*l. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.2 (b) -5 (c) 5 (d) -2.171 (e) 3 (f) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {s: 16, t: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46238 by 122.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 283584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 5:50 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((21 + 17 - 12)*(-2 + 0 + 4) + 18 - 24 - 13)*(-3*t + 2*t - t) to b*t + j and give b.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n - 3*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66194.\nAnswer: 2, 23, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177971852, -355943704, -533915556?\nAnswer: -711887408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = -3*i + 18, 2*i + 5*l = -9. Suppose -4*b = t - 3544, -3*b + 2643 = -0*t - i*t. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = f - 4*f - 1267, 3*x = 5*f + 2135. Let h = 428 + f. Put 1, h, -1, 5 in descending order.\nAnswer: 5, h, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3 = 42. Calculate the common denominator of (b\/60)\/((-24)\/310) and -73\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - 3.9. Let a = -46 + 44. What is the nearest to a in t, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -10. Let n(z) = 3*z - 6. Let q be n(u). Let s(p) = -p + 2. Let l be s(-7). Calculate the greatest common factor of q and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 - 79. Let m = w + -22. Let j(q) = -q + 38. Calculate the remainder when j(m) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 - 17*c - 90. Let g be u(-6). What is the highest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/105*25\/10*136\/34. Let x = 0.8 + 2.2. Which is the biggest value? (a) g (b) 1\/10 (c) -1\/3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7434)\/(-2124)*1\/56?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -3\/10, -4, 7\/2, 0.3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2502 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 z(n) = 2*n**2 + 5*n + 2. Let c be z(-2). Suppose 17*j - 14*j - 1671 = c. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4810.\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-66) - 108\/(-11). Let h be 2490\/(-25) - 4\/c. Let y = h + 119. What is the remainder when 74 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 6 = -2*k + 5, -4*z - 1124*k = -1127*k - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02316493158 to six decimal places.\nAnswer: 0.023165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*y + 24, -3*r - 57 = 5*y - 47 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005181 to 7 decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 0.1. Let a = -2 - z. Let o be (0 - 4\/8) + 3\/14. Which is greater: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**12*y*(y*y**(1\/15)*y)\/y)\/(y*y\/((y**(2\/13)*y)\/y)*y)**(-24))**(-11\/4) assuming y is positive.\nAnswer: y**(-89419\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*3*(-1 + sqrt(2)) - ((0 + sqrt(242))*6 - sqrt(242)))**2.\nAnswer: 1332*sqrt(2) + 3060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7759.697 grams in tonnes?\nAnswer: 0.007759697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 290.2 - 28. Let d = -262 + a. What is the closest to 1 in 2\/19, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 6 + 6 + -9. Suppose -y*t - 4*m - 73 = m, -m = 5. Is -422*3\/t*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 4, q: 1, m: 1, t: 3, u: 7}. Give prob of sequence unq.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 34, -2 in decreasing order.\nAnswer: 34, 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(365 + 111*z - 365 + (-2 - 2 + 2)*(-2269 + 2269 - 50*z)) as t + l*z and give l.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -716, -1425, -2148, -2891, -3660, -4461?\nAnswer: -5300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*(4*-2*sqrt(76) + sqrt(76) - (-6*(sqrt(76) + 1 + sqrt(76)) - sqrt(76)) - (0 + (sqrt(76) - (-1*sqrt(76) + -5)) + sqrt(76))))**2.\nAnswer: 384*sqrt(19) + 11008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 10 - 14 + 5*v as k*v + w and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmpjpjjmppjmmmm. Give prob of picking 3 m and 1 j.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663430 minus -122.1513?\nAnswer: 1663552.1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154245555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*n + 28, -5*l - 435 = 2*n - 450 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxbx when four letters picked without replacement from bggbbbqdbgbgxbgxb.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5 + 474*f**4 - 1355*f**2.\nAnswer: -60*f**2 + 11376*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353 divided by 30.\nAnswer: -353\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*f + 21 + 30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 2*j - 1. Let r be q(-4). Let i = -35 + r. Does 24 divide 3 + 91 - 0 - i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9537 - 9535. Which is the nearest to 0.06? (a) -1.3 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 - -2410?\nAnswer: 2412.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 - -194.2. Let r = 126.8 + d. Let x = 158.00101 - r. What is x rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160412931, 320825871, 481238811, 641651751?\nAnswer: 802064691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21*1\/(-3) + 127. Suppose 0 = 17*f - 7*f - y. Calculate the greatest common divisor of f and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 16. Let l be r(-11). Let z be (-27491)\/(-111) + 4\/l + 0. Suppose 4*p - 3*p = -4*q + z, -q + p + 63 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(272) + -1 + 0)*-4 - -1*(-2 + (sqrt(272) - (1 + sqrt(272))))))**2*6.\nAnswer: -768*sqrt(17) + 104472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -5, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v - 25. Suppose -v = -z, 5*u - 6*z = -2*z + 255. What is the greatest common divisor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65636, 56833, 48028, 39221, 30412, 21601, 12788?\nAnswer: 3973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 32 = -3*d. Calculate the remainder when 38 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 52*x + 52*x - 2*x**3 - 22*x**2 - 6*x**4 in the form a*x**2 + f*x**3 + j*x + q + i*x**4 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13814772.\nAnswer: 2, 3, 103, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(((-8)\/(88\/11))\/1))\/((-1)\/(-8))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4247 by -1.\nAnswer: 4247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20949 bigger than 20953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 - -126. Let g(h) = -3*h**4 + 11*h**3 + 7*h**2 - 89*h - 7. Let i(f) = 3*f**4 - 12*f**3 - 6*f**2 + 90*f + 6. Let d(j) = p*g(j) + 7*i(j). Factor d(a).\nAnswer: 3*a*(a - 4)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7018858 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91810 + -91734.7072. Let q = 0.3428 - r. Let l = 75 + q. Which is smaller: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -9 - (-18 - -13)) + -3 - (-28 + 1)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 158*h - 304*h - 730. Suppose j + w - 2*w = 0, 0 = -5*w + 15. Put 2, h, 16, j in increasing order.\nAnswer: h, 2, j, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71\/35 - -143\/105. Let w = -3 + 3.1. Which is the closest to w? (a) -1 (b) h (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**4 + 4*o**3 - 3*o**2 + 384*o. Let l(i) = i**4 - 2*i**3 + i**2 - i. Let f(y) = -j(y) - 3*l(y). Find the second derivative of f(b) wrt b.\nAnswer: -96*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.85 - -0.65. Let q be (-1)\/8*2 - 72\/(-544). Sort q, 5, i, -0.3 in descending order.\nAnswer: 5, q, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 121\/2. Let j = -254\/685 + -4\/137. Which is the second biggest value? (a) -4 (b) j (c) y (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 - 0.1. Let n = -564 - 18. Let d = -578 - n. What is the closest to a in d, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124190680919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 20*i + 58*i**3 + 50*i**3 + 19*i + i.\nAnswer: 111*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (1595\/10)\/((-21)\/(-714)) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoeobee. Give prob of picking 1 e and 1 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-6)\/9)*-141. Let o = l - -657\/7. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1313455?\nAnswer: 1313461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-113)\/339 + 174900\/9.\nAnswer: 19433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12828 is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47184093\/107037637 - -15013\/65627. Let i = g + 54\/233. Is 1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*j**2 + 42*j**2 + 183*j**2 + 71*j**2 + 176*j**2)*(-1 + 0 - 1).\nAnswer: -894*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 11. Suppose 1 = -t*k + 1. Suppose 6*s - 5 - 13 = k. Which is the closest to 0? (a) -3\/4 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 215*s**4 - 410*s**3\/3 + 850. What is the third derivative of a(h) wrt h?\nAnswer: 5160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 5*g - 15*g + 13*g + 3*g**2.\nAnswer: 3*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/11 - 144*x**3\/11 - 1640*x**2\/11 + 5472*x + 924160\/11 = 0. What is x?\nAnswer: -38, -16, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129\/91 - -11\/7. Let c = 0.7 - 0.2. Let p = c - 0.3. Sort -5, n, p in descending order.\nAnswer: p, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 2)*(4*o + 9*o - 5*o) + (-4 + 1 + 1)*(-o - 2*o + 0*o) + 13 - 13 + 4*o.\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 2 + sqrt(720))**2 + (sqrt(5) + sqrt(20)\/sqrt(4) + -5)**2.\nAnswer: 76*sqrt(5) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223164 + 318779 = 17*k. Is k a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -98789.\nAnswer: -98788.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/((-4216)\/10))\/(6 - 7). Is y less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5605*v**2 - 168263 - 168259 + 336522.\nAnswer: 5605*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 93187 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 256, 214, -130, -776, -1724?\n\"Answer: -151*m**2 + 411*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.65417 and -287048.\nAnswer: -287043.34583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 7*i**2 + 8*i + 4. Let o be m(-8). Let n = 4 - 2. Suppose -r - 18 = -k + 2*r, -4*k - 2*r = -n. Solve -k*y + 2*y = -o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -30*k - 337. Determine q(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = -2*d, p = -3*p - 2*d + 18. Let u(b) = -b**2 - 4*b - 3. Let o(j) = 1. Let y(x) = p*o(x) + u(x). Calculate y(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-114)\/(-9) - (-4)\/(-6). Let u be (-3)\/a + 9\/4. Solve z - u*z - 9 = -5*o, 0 = -3*o + z + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-4)*b**(7\/5) assuming b is positive.\nAnswer: b**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447017 is divided by 794?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*l - l. Suppose l = -56*p + 62*p - 1368. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 43*s**2 + 101*s - 70. What is the hundreds digit of c(-47)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 15*r - 69. Let c be g(4). What is the biggest value in -4, 0.04, c?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5091*a**3 + 7*a**2 - 19*a + 568. Let k(u) = -5090*u**3 - 6*u**2 + 14*u - 570. Let y(r) = -3*g(r) - 4*k(r). Find the third derivative of y(z) wrt z.\nAnswer: 30522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -3*t**5\/20 - 9*t**4\/2 - 95*t**3\/2 - 225*t**2 - 2467*t. What is k in h(k) = 0?\nAnswer: -10, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 17 = -5*w, 3*a + 2*a - 2*w = 30. Let y(f) = 27*f**2 + 23*f + 20. Let d(b) = 7*b**2 + 6*b + 5. Let z(h) = 9*d(h) - 2*y(h). Is z(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496522842 to the power of 1\/2, to the nearest integer?\nAnswer: 49965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*-175.\nAnswer: -5775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 266, 483, 712, 959, 1230, 1531, 1868?\n\"Answer: b**3 + 210*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 3 - -6) + 3 + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*(-48 - (2 + -2)). Suppose 0 = -2*b - 4*p + 12, 3*b - p = -0*p + x. What is the remainder when 2\/2 - -1*37 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6144*i**2 + 2432*i - 722\/3 = 0.\nAnswer: 19\/96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:06 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6092 to 1 decimal place.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13449 + -13438. Which is smaller: -0.324 or m?\nAnswer: -0.324","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**3 - d**2 + 9*d - 1. Let w(a) = a**3 + a**2 - a. Let h(u) = j(u) + 6*w(u). What is h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwddk. What is prob of picking 1 w and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, 32, 25, 0, -49, -128, -243?\n\"Answer: -q**3 + 12*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b - 6*b + 8 - 8 in the form f*b + c and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35729718*q**5 - 111552223*q**2.\nAnswer: 2143783080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 l, and 1 f when four letters picked without replacement from {j: 1, b: 1, k: 4, l: 5, t: 4, f: 4}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyypyyxyppyyyyyx. What is prob of sequence px?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3))*5 + ((-1*sqrt(33) + sqrt(33))\/sqrt(11))**2.\nAnswer: -10 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0*t + 4 + 10 + t. Let o(s) = -2*s**3 + 3*s**2 - 3*s. Let i be o(2). Let b be f(i). Put -4, 5, b in descending order.\nAnswer: 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2306573312 to 5 decimal places.\nAnswer: 0.23066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -511, -1381, -2521, -3865, -5347, -6901, -8461?\nAnswer: -9961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -b. Suppose b*g - 15 = -3. Solve 7*x**4 - 3*x**4 - g*x**2 + 0*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 - 27*l + 128. Let g(y) = -5*y**2 - 29*y + 130. Let d(n) = -5*g(n) + 6*h(n). Is d(15) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*u - 17*u - 10*u + (-1 + 0 + 3)*(-u + u - 2*u).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9515951.\nAnswer: 23, 413737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h**2 + 2*h**2 - 23*h**2. Let a(t) = -2*t**2. Let w(b) = -10*a(b) + 2*m(b). Let k(g) = 0*g - 3*g + 2*g. Give k(w(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 11101?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.03 + 4. Let l = -0.073 - v. Let p = l + 0.653. What is p rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9601 by -4.\nAnswer: 9601\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 786.676 weeks in seconds?\nAnswer: 475781644.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77471 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: Expand (-2*w + 0 + 2 - 4)*(0 + 0 + 1)*(-10*w + 21*w + 14*w).\nAnswer: -50*w**2 - 50*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -139193 at least as big as -139188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -1000010101001?\nAnswer: -1000010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1859*l**2 + 1024*l + 20. Let c(d) = -3718*d**2 + 2048*d + 44. Let t(a) = -6*c(a) + 13*m(a). Find the second derivative of t(s) wrt s.\nAnswer: -3718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1185 divide 46858152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*x**2 - 55*x**2 + 1 - 3 + 2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083722137 less than -0.67?\nAnswer: -0.586277863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 276343219 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -27*t - 12. Let y be u(-5). Let r be (-3)\/(-4) + y\/12. What is the greatest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 83*x**2 + 4*x - 2. Let m(n) = -3321*n**2 - 162*n + 81. Let t(s) = -2*m(s) - 81*q(s). Let c(j) = j**2. Calculate t(c(a)).\nAnswer: -81*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4042 - 36*c**3 + 4042.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 743, -1 in decreasing order.\nAnswer: 743, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*w - 84*w - 25919 = -5*p, 0 = -3*p + 4*w + 15557. Is 5185 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 18) + (5 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 7896798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1922551 = -5*p + 2*z, 769030 = -12*p + 14*p + 4*z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3078)*2)\/((sqrt(22) + sqrt(22)*-2)\/sqrt(11)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*u**2 + 45*u - 94*u + 286*u**2 + 49*u.\nAnswer: 349*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8106462529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + n = 0, -6 = i + 5*n + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24233 + 84374. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 37) + (82 - 33 - 117 - -54)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -46, -1, -51 in ascending order.\nAnswer: -51, -46, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -83*v + 14 + 86*v - 6*v**2 + 3 wrt v?\nAnswer: -12*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 409 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times 2313?\nAnswer: 323.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -85, -204, -381, -622, -933?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, n: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42523*o**2 - 14226*o**2 - 14047*o**2 + 2*o - 14237*o**2 - 2*o.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10886237 and 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 - -97. Let t = 19 - 17. Let n = t + -2. Which is the smallest value? (a) n (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*x + 108*x**3 - 181 + 130*x**2 + 144*x**2 - 10*x**4 + 181 - 10*x = 0.\nAnswer: -6\/5, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -129.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**8\/336 - 158*w**5\/15 + 41*w**4\/12 - w**3\/3 + 1872*w**2. What is the second derivative of s(k) wrt k?\nAnswer: 20*k**3 - 1264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 284d?\nAnswer: -284d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 998. Let q(x) be the third derivative of -x**4\/12 + 102*x**2 + 2*x. Calculate q(s(z)).\nAnswer: 4*z + 1996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/120 + x**5\/10 + x**4\/8 - 5*x**3\/6 - 13*x**2. Determine y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 86804.\nAnswer: 347216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 306*w**3 - 1043*w**3 - 5*w**2.\nAnswer: -1349*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 16 = 2*t, -3*t + 3*p = -37 + 13. Solve 7*x + c = 27 + t, 0 = 3*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 56. Let n(c) = -5*c - 4. Let g(q) = -q - 1. Let z(b) = -4*g(b) + n(b). Give z(f(w)).\nAnswer: 2*w - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-53279)\/(-14) + 2)\/3. Let c = x + -1270. Find the common denominator of c and 3\/(-27)*249\/(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4 - -1642*8\/32 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 221\/5 + 6\/(-30). What is the greatest common divisor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 + 27*f**2 + 0*f**2)*(4 - 560*f + 613*f - 4) to w*f**3 + i*f**2 + m*f + l and give w.\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1589736932 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 23*i + 41. Let x(h) = -4*h - 7. Let d(r) = 6*q(r) + 34*x(r). Let z be d(-3). Solve -3*p + p = -z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*4\/48 - 3\/4. Which is the third biggest value? (a) i (b) 6 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.65*-30.\nAnswer: 109.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63 + b?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**9)\/p**(-2\/49))\/(p**(1\/5)*p**(-2)) assuming p is positive.\nAnswer: p**(-1509\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*h + k + 38, -h + 18 = k. What is the highest common divisor of h and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/12 - ((-70)\/42 + (-83)\/(-84))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 50*a**2 + 112*a - 63. Give d(52).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -5, 1, -3, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -781860 plus -915630073?\nAnswer: -916411933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -57. Let f(z) be the third derivative of 0 + 1\/6*z**3 - z**2 + 0*z. Let y(g) = -g + 4. Give m*f(a) - y(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 10. Let u be y(5). Let v(c) = c**3 - 2*c + 80. Let d be v(u). Let h = d - 46. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3 + 30*i**2*w - 283141*i**2 + 143349*i*w - 28*i wrt i?\nAnswer: -12*i + 60*w - 566282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2. Let p(x) = -7*x + 6. Calculate p(j(h)).\nAnswer: 14*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 2, j: 3, r: 3, f: 1, p: 1}. Give prob of sequence ddp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2263 + -1105. Let x = 1696 - c. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.087 and -17516136.3.\nAnswer: -17516136.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 13*j**2 - j - 11. Let d be m(-13). Solve -1 - 3 = -d*n + 2*p, 5*n = -p + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94023032 and 807.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4777041 (base 8) to base 7.\nAnswer: -14064642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3032344 + -1?\nAnswer: 3032343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98406299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**4\/12 - 4*n**3\/3 - 3*n**2\/2 - 108*n. Give x(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102189, 98747, 95305, 91863?\nAnswer: 88421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2683624 and 47\/1677265.\nAnswer: 13418120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 3*p**2 + 5*p - 2. Is m(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d + 0*d)*(-2*d + 4 - 4)*(-15 + 0 - 1).\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -317\/101289, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8862 and 44756054?\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (sqrt(336)\/sqrt(7) - (-4 + sqrt(3) + 1))))**2*-6.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/684)\/(-4*(-1)\/16). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - l**2 - l + 2. Let n(i) be the third derivative of i**4\/24 + 7*i**3\/6 - 4*i**2. Let p be n(-9). What is the units digit of s(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 10 = -22*y - 5*w, -3*y - 48637*w + 24 = -48638*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (3 + -2) - 4) + -62 + 40?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 3660718\nAnswer: -5\/3660718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20500019 to the power of 1\/2, to the nearest integer?\nAnswer: 4528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47.1 - 47. Let y be -2*(6\/5 + -1) + 0. What is the nearest to y in q, 8, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-36)\/b**(-9\/2))**(-3\/8) assuming b is positive.\nAnswer: b**(189\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 23 = 3*l, 7 = -3*l + 3*i + 34. Let g(y) = -l*y - 3*y + 5*y. What is g(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 34 = a. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1054 - 0.6054. Let s = -8 - -3. Sort 0, s, l in decreasing order.\nAnswer: 0, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*r + 379*r - 685 + 18349 = 0 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/35 - 4*(-135)\/(-14). Let a be (3\/s)\/((-2)\/6). Is a smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*u**4*z + 5*u**4 + u**2*z - 78*u**2 - 3*z wrt u.\nAnswer: -1056*u*z + 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:05 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 5*q**2 - 5*q - 4. What are the prime factors of h(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*g**4*n**2 - g**2 + 36*g*n**3 + 3*n**3 - 395*n + 1 with respect to g.\nAnswer: -40*g**3*n**2 - 2*g + 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + 89. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 2*z**2 - 3*z - 2*z - 5*z + 13. What is the units digit of s(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r + 1. Let i(l) be the third derivative of l**6\/30 - l**5\/30 - 26*l**2. Let d be i(1). Give n(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/5 and -59\/115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -12, -13, -10, -3, 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 1:35 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/42640 and -67\/2750280?\nAnswer: 5500560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -5*c - 20. Let m be -3 + 36\/(c + 0). Solve x + 11 = 5*b - 0*x, -4*b - 2*x = -m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1325*a - 1350*a - 300 = 0 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 15*h - 14. Let r be l(-14). Solve 0 = -k + 2*u - 3*u - 5, 3*k - u + 11 = r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7065 and 1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13116.\nAnswer: 2, 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 3, -1, 12 in ascending order.\nAnswer: -147, -1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5104.5*-0.017.\nAnswer: -86.7765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3103\/80 + 555\/16. What is the common denominator of 117\/20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 39573 = -4*t + 39612, 0 = 2*f + 5*t - 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + 5*k)*(3*k + 0*k - 2*k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166952, -333892, -500830, -667766, -834700?\nAnswer: -1001632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (91 - 26114*c + 62 + 58 - 211)*(-3*c**3 - c**3 + 3*c**3).\nAnswer: 26114*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8085 and 1155.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*k + 2 + (2 + 3*k - 2)*(-255 + 1451 + 493).\nAnswer: 5070*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/188 and 5\/188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m + 12. Suppose 5*q = 10, 2*w + m*q + 15 = 3*w. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 45 = -i, -2*y - 4*i - 4 + 16 = 0. Let a(r) = 2*r**2 - 381*r + 4988. What is the remainder when a(178) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbdoodolbbdbbbl. Give prob of picking 1 d and 2 l.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24597 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5800 and 50?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/6 + 2*x**3\/3 - 29*x**2\/2 - 17*x. Let j(s) = s. Let r(q) = 2*j(q) + o(q). What is the first derivative of r(y) wrt y?\nAnswer: -4*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8148220 divided by -814822.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 18*n**2 + 21*n + 4. Let u be b(19). Let h = 100 - u. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4172123\/104 - -40117. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1*4\/(-24)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, d: 4, y: 2, a: 3}. Give prob of picking 1 a, 1 s, 1 y, and 1 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 1\/2, -17, -5, -2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4204 - 708 = 819*y - 635*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 745.5178nm?\nAnswer: 0.0000000007455178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(176) + -1 + -5.\nAnswer: -6 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13871325?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 60 = -2*r. Let z be 36\/r - 206\/(-10). Solve 4*x + z = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/(88\/(-5)))\/(-4 - 1245\/(-312)). Calculate the greatest common divisor of f and 3430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/10)\/((-1)\/35). Let z = 60 - -46. Let x = z + t. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 74\/3 - 2\/(-6). Let c be ((-4)\/16)\/(1\/(-8)). Suppose c*p = -3*p + j. Sort -3, p, -1\/3.\nAnswer: -3, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 13. Let d(k) = k + 14. Let u(w) = 5*d(w) - 6*r(w). Let f be u(-10). Let j = 13 - 9. Is j <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (-4*sqrt(1539)*-5 - ((2 + sqrt(1539))*1 - sqrt(1539))))**2 + 1.\nAnswer: 1440*sqrt(19) + 2462405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30406 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 1728*n**2 + 223440*n.\nAnswer: 3*n*(n - 380)*(n - 196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -63. Let z be (c - 3\/(-2))*(2 + 46). Let d(i) = -i**2 + 23*i + 32. What is the units digit of d(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n**2 + 59 + 69*n - 16*n**2 - 67*n.\nAnswer: 2*n**2 + 2*n + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -5, 4, 6, -2 in decreasing order.\nAnswer: 6, 4, -2, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 + 102*z + 9. Let a be u(-17). Let b(t) = t**2 - 2. Let p be b(-2). Suppose 7 = 3*q - 4*j, 2 = -q - 8*j + 5*j. Solve q = -p*h + a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858367500 to the power of 1\/3, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.152 (b) 3\/4 (c) -118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -367*f**6\/3 + 43*f**3 - 2*f**2 + 104. Find the third derivative of s(b) wrt b.\nAnswer: -44040*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -397a9 - -434?\nAnswer: -39375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k + 3*q - 9, -5*k - 2*q = -17. Suppose -949988 = k*h + 2*h + 4*y, -h + y - 190003 = 0. What is h rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0193287 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 39. Solve 2 = -b + z*s + 2*s, -b + 2*s - 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -12. Let k be 0\/3 - w\/(-55). Is 0.04 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.74? (a) -0.3 (b) 1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + -3 - (-6 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.991823 rounded to two decimal places?\nAnswer: -40.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.717502756 to two dps.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/81 (b) -269 (c) -0.2 (d) -177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (25 + -13)*6\/4. Suppose 2*v = -d + 24, w = v + 5*d - 3*d. Calculate the greatest common factor of 4 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = -0*u. Let d be 3*(-1)\/u + 86\/4. What is the greatest common divisor of d and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 3.807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2109 + 6635. Calculate the greatest common divisor of 146 and w.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 2*o - 43. Let n be w(6). Let p be 1 - 1\/(-1)*-1. Suppose 5*k - 60 + n = p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.4. Let q = 736 + -731. Which is the closest to 1? (a) q (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -520, -1091, -1712, -2383, -3104, -3875, -4696?\n\"Answer: -25*h**2 - 496*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*g - 35200, 21*g + 5*n + 8800 = 22*g. Is g a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/32 of a millisecond?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 + 82. Let k be (g - 3)*4\/((-16)\/6). Solve -x + 2*x + k = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54111076351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29574361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - 2.26. Let g = 0.3 + 1.7. Let j = v + g. What is the third smallest value in 5, j, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 - 8*y + 7*y**2 + 207 - 415.\nAnswer: 7*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*o - 47, o + 4*o = s - 11. Let h(k) = -k**3 - 10*k**2 - 10*k + 13. What is the remainder when 64 is divided by h(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13100505.\nAnswer: 3, 5, 11, 79397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-58))\/(-3) - (-551)\/(3115905\/1260).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1332 and 1776?\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.673941 litres to millilitres.\nAnswer: 3673.941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(-8)\/60 - 13\/13. Which is the nearest to -0.1? (a) s (b) -159 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 1, f: 2, e: 4, o: 1}. What is prob of picking 2 f, 1 e, and 1 q?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 21 = 5*c, 105*l = 104*l + 5*c + 1. Calculate the remainder when 1*-2*(-130)\/4 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 5*y - 4. Suppose -5*l + j = 34, -3*j = 5*l - 0*j + 18. Let p be o(l). Suppose -p*r - 2*c = 15 - 151, r - 58 = c. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w - 38032 = -23*w. Let a be -4*4\/(-72) + w\/99. Let y = a - -96. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/64 + (-19)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 130 = 110, -5*h + 3*t = -127. Solve -b - 5*w = -h, 3*b - 10 - 3 = -w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 528, -4195, -14162, -29373, -49828, -75527, -106470?\n\"Answer: -2622*g**2 + 3143*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.3, -17124\/1445.\nAnswer: -17124\/1445, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-12))\/(385\/(-2772)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -494779, -1979366, -4453679, -7917718?\n\"Answer: -494863*i**2 + 2*i + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.026 - -15.374. Let j = g + -15. Which is the closest to -2\/3? (a) 2\/3 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -309390, -309390, -309400, -309426, -309474, -309550, -309660?\n\"Answer: -m**3 + m**2 + 4*m - 309394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 - (-6)\/18. Suppose -2*j + 37 = -c*z - z, 52 = 2*j - 4*z. Solve 0 = b - 3*p + 4, -2*b + j = -6*b - 3*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -0.4, 1\/2, -15, -120, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2007*c + 74*c = 45935 + 74763 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-5) - (-2 - 1). Suppose t*i - 2*i = -f + 19, -2*i + 2*f + 50 = 0. Let c = 15 - 7. What is the smallest common multiple of c and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2745.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/3 + 2527618*c**2\/3 + 6740272*c = 0.\nAnswer: -1263801, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 1\/2, 0, 119608, 0.18?\nAnswer: 119608","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 5*y + 2. Let t(n) = -93*n + 643. Let q be t(7). Calculate u(q).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**4\/3 + n**3\/6 - 3*n**2\/2 + 3*n. Let g(q) = 3*q**2 - 2. Let y(r) = 3*g(r) - 2*l(r). Give y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (2 + -5)) + 8 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**4 + d**2 + (20*d - 21*d - 8*d)*(3*d**3 + 4*d**3 - 5*d**3) + (5*d**2 - 4*d**2 + d**2)*(1 - 1 - 2*d**2))*(-2*d + 9*d - 1 + 2*d).\nAnswer: -189*d**5 + 21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1358528 divided by -2\nAnswer: -679264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/(24\/36).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 23*y. Let i(q) be the first derivative of 0*q**2 + 0*q + 7 + 2\/3*q**3. What is t(i(o))?\nAnswer: 46*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 551 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1936, 0, 138 in descending order.\nAnswer: 1936, 138, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.326 - 55.726. Let w = v + 62. What is w rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.12 - 1.88. Which is the second smallest value? (a) -0.4 (b) -11 (c) 0.06 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 53522?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 327\/830 - -1\/166. Does u = 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 12, 28, 52, 84?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*o**2 + 693*o - 693*o)*(-2 + 1 + 2)*(-3 + 3 - 1).\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 201*c**2 + 599*c + 38880. Give v(-199).\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1704)\/(-14) - (150\/(-35) - -4). Let t = f + -64. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1856, 3739, 5652, 7595, 9568, 11571?\n\"Answer: 15*q**2 + 1838*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/48 + 7\/4. Suppose k = 4*z - 18. Suppose -z*n + 997 = b, 2*n - b = -0*b + 396. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 13*x + 18*x = -25, s - 3*x - 13 = 0. Calculate the least common multiple of 92 and s.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -532346837\/1488 + 357760. Calculate the common denominator of h and -143\/192.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Determine d, given that -d**2 + v*d**3 + d**4 - 3*d**2 + 5*d**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*a = -2717 - 478. Solve 49*x - 16 = a*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 727.8751mg?\nAnswer: 0.0000007278751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5041504 and 11336.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2503800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -77384.3167 from 0.5.\nAnswer: 77384.8167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 100 = -5*t. Let g = 34 + t. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18059470 and 292.\nAnswer: 36118940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Let j = -45 - -42.7. Let q = -2.3 - j. What is the closest to q in -0.1, 4\/9, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Suppose -f + 258 = 4*q, -g*f + 38 = 3*q - 160. Let p = 138 - q. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2 + 2 + 3*n**2 + 0*n**2 - 6*n**2 + (0*n**2 - 3*n**2 + 2*n**2)*(1 + 1 - 3) - 44*n**2 - 30*n**2 - 31*n**2)*(-2*n + 2*n + n**2).\nAnswer: -106*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 17*b**3 - 21*b - 17. Let k(s) = -4*s**3 + 5*s + 4. Determine -9*k(z) - 2*q(z).\nAnswer: 2*z**3 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4248 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 + 3 + 297875*i - 297893*i - 9.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3343311 - 3?\nAnswer: 3343304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/5 - 4521*n**4\/5 + 6739847*n**3\/5 - 3201243959*n**2\/5 - 165586536252*n\/5 - 2020671605524\/5 = 0.\nAnswer: -26, -22, 1523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r - 10035*r**2 - 15*r + 2*r + 5*r as d*r**2 + q + x*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 5*w + 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232731 and 36?\nAnswer: 930924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785000 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1737549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119917326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -29*u + 33*u + 2, -2*b = 100*u - 105*u + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 4 + 3*w**2 + 6*w**3 + 3*w**2 - 6*w**2.\nAnswer: 6*w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = -44. Let q be (-3)\/27 + 37\/9. Suppose 3*v - t = -o, -5*v = q*o + 5 - 28. Sort 5, 3, o in descending order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 26 + 59 - 31 - 18*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -740\/9 - -82. Let x = -39\/658 + 1199197\/658. Let q = x - 1816. Find the common denominator of g and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 133. Let a be d\/(-66)*(2\/(-2) + 103). What is the highest common divisor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 1851, -5 in descending order.\nAnswer: 1851, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 297 - (189 - -134) - ((-11 - 2) + 1 + 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.3 + 13.3. Which is the nearest to -0.9? (a) 4 (b) 0.6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*z**3 + 10770*z**2 - z + 8718507 wrt z.\nAnswer: -63*z**2 + 21540*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 16\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3482895 and 27297.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.091176 centuries in decades?\nAnswer: 0.91176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 + 8*h**2 + 5. Let s be b(-4). Let t(v) = 0*v - 7*v + s*v. Let r(n) be the third derivative of 11*n**5\/60 - n**2. Determine r(t(u)).\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/12 + u**3\/6 - u**2 + 2455*u. Suppose -p + 1 = 3*t, 5*p + 35 = 3*t + 2*t. Give v(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 740105 or 740078?\nAnswer: 740078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 0*w**2 - 1\/3*w**6 - 1\/3*w**3 + 0*w - 2 + 0*w**5 + 0*w**4. Find the third derivative of n(a) wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/30 - -3*16\/108*-96. Which is the smallest value? (a) -15 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 19*d - 16. Let q be c(-18). Find the second derivative of -20*g**5 + 2*g + q*g**5 - 6*g - 2*g wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 2\/3, -10\/1077.\nAnswer: -10\/1077, 2\/19, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4521 - -8572. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4 + 1423*h**3 - 8145*h**2 - 9780559*h - 298833520 = 0.\nAnswer: -1424, -47, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 517 = -5*h - 507, 3*p + 10 = 25*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3640 = -26*r + 156*r. What is the smallest common multiple of r and (-5 - -1)\/(2\/(-2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + 25. Let b = -229 - i. Let m = b - -313.00000267. Round m to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwowwwowwwowwwwwww. What is prob of sequence oow?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 328.5 from 213188288.\nAnswer: 213187959.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from cxxessxccxxcxxqscssx?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 0.2. Let n = -36.3 + 34. Let k = -1.3 - n. Which is bigger: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + -3*sqrt(117)*1 + (sqrt(117) - 3*(sqrt(117) - (sqrt(117) + 0))) + -5)**2*-3.\nAnswer: -1407 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*s + 6438, 526*t - 528*t = -5*s + 16131. Calculate the remainder when s is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) -2\/7 (d) -37991\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 14, u: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 493.61 + -494. Which is the closest to 1? (a) j (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:57 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1615117, 6460486, 14536101, 25841962, 40378069, 58144422?\nAnswer: 79141021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 207 = -2*j - 285, -j = -3*z - 379. Let x = z - -128. Solve -l + x*l = 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooyoooo. What is prob of picking 3 o and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*x + 7173 = 6*x + 162*x + 2584*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62441878, 62441876, 62441874, 62441872, 62441870?\nAnswer: 62441868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and 0.2882492.\nAnswer: 6.2882492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from szqssnzsqz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1626399 and 171787?\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2990*t - 26947. What is b(9)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h - 14. Let l(v) = v - 1. Let n(g) = j(g) + l(g). Calculate the remainder when 23 is divided by n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 9*o - 10. Let r be i(-10). Solve -2 = -2*n - r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Suppose -x*b + 0*b + 27 = 5*z, -4*z + 12 = 0. Solve -5*u = -b*d + 26, -u - 10 = 2*u - d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 6*g - 10*g)*(3*g + 6*g + g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 5:54 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 0 + 3*m**2 + 0*m**2 - 4*m**2 + 1. Let o(j) = -3*j**4 - 3*j**2 + 4. Let r(u) = -4*b(u) + o(u). Find the third derivative of r(x) wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208016520359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9078452 - -13261452. What is h rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2242083.5 to the nearest ten thousand.\nAnswer: -2240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 - (-7 + 10 + 123 + (172 - 187))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 4\/8339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2 + q - 1. Let x be m(-1). Let v(w) = -w + 7. Let b be v(7). Solve b = -2*t + t - x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 23 = 2. Let v = -86 + 121. Let r be 0 - (-5 + v)\/(-6). Put n, 1, r, -2 in increasing order.\nAnswer: n, -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-600)*-5*(0 + -3). Let -4\/5*j + 3\/5 + t*j**2 = 0. What is j?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-6 + (-1 - -4)) - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 353, 346, 343, 344, 349, 358, 371?\n\"Answer: 2*a**2 - 13*a + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4*z = 35, 0 = -3*i - 0*z + 3*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 11. Let j(p) = -2. Calculate -11*j(i) + 2*k(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8566 = 1373. What are the prime factors of v?\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5977*b**2 - 10043*b**2 - 8709*b**2 - 12422*b**2 + 8191*b**2 to the form t*b + y*b**2 + h and give y.\nAnswer: -28960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 634 divided by 6.\nAnswer: 317\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*t**2 - 14*t**3 - 23*t**2 + 2*t**3 wrt t.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.359999 - 0.36. Round o to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - z = -5081567, -2*t = z - 1974693 - 566092. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17031786103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**7\/210 - f**5\/20 + f**2. Find the third derivative of y(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2940845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -11, 6, -277, -2 in decreasing order.\nAnswer: 37, 6, -2, -11, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19925263 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2683 - -2686. Solve 4*b - 9 = 3*l, 5*l + v = b - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6620 and -3787.977.\nAnswer: 2832.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 7*s + 2. Let f be k(3). Let j be f\/(-2)*24\/6. Solve -j*o = x + 5, -2*x + 2 = o - 6*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2370330009?\nAnswer: 3, 17, 19, 61, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from nyyxxyyyxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3\/3 + i**2\/2 - 17*i + 7. Let q be y(0). Let n = 39 + q. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*h**3*k + 1581644*h**2*k + 103602836*k wrt h.\nAnswer: 12*h**2*k + 3163288*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*g + 2*r - 4*r, 0 = -2*g + r + 5. Suppose 3*o + 3*f = 174, 3*f + 274 = g*o + 4*f. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 5}. What is prob of picking 2 m?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r + 8. Suppose -2*o + 4*f + 2 = 0, 0 = -r*o - 0*o + f - 4. Let u(k) = k + 1. Determine u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 14. Let q(o) = 5*o + 13. Let r(a) = -4*g(a) - 3*q(a). What is the tens digit of r(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/36 - (-317)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 3. Let j = 8 + -11. What is the units digit of g(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -826 or -825?\nAnswer: -825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -2*p**2 - 4*p + 0 + 1\/6*p**3. Determine i(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 7*l + 4*l)*(l - 9*l - l)*(3 - l - 3)*(-l + 3*l + 0*l).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((10 + -16)\/(-72))\/(6\/32). What is the third smallest value in g, 1\/35, 2\/13, -0.127?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22000002101 (base 3) to base 12.\nAnswer: 771b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0.2 (c) 36.2 (d) 8 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhsshsassf. Give prob of sequence shf.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -474? (a) -3 (b) 0.5 (c) -5 (d) 78 (e) 0.14 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 3:27 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -50948\/2599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 11*x = 154. Suppose 5*p - 14 = 1. Suppose 0 = -p*r - 7 + x. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/3*c**2 + 2\/9*c**3 + 56\/3*c + 160\/9 = 0 for c.\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-50)\/(-4)))\/((187\/17)\/440).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 9*q + 30, q + 13801 - 13796 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*3 - sqrt(704)) + sqrt(11) - (sqrt(11) + 2)*4)**2.\nAnswer: -208*sqrt(11) + 1923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2*n - 1. Let w = 31 + -33. What is b(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13706 and 6982?\nAnswer: 47847646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1315 + cd3a?\nAnswer: e150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3952710 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 - 229. Let l = 101 + r. Suppose -c + l*c = -45. Sort c, -4, -9 in descending order.\nAnswer: -4, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 12:54 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-22)*p**12)\/(p**(-2\/23))**(2\/65) assuming p is positive.\nAnswer: p**(-14946\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**8\/112 - b**4\/8 - b**2 - 4*b. Let k(s) be the first derivative of z(s). What is the second derivative of k(u) wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44\/353 + 1589\/1412. What is the closest to -1 in -0.4, 4, k, 47?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241609?\nAnswer: 307, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 45 - 88 + 12*y + y**2 - 2*y + 49 + 5*y. Calculate i(-10).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -22.9. Which is bigger: s or -4\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + 94 - (5 + -2 - (-4 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = l, 4 = -v + 4*l - 4. Let j be 32*((-28)\/v - 3). Solve 0 = 6*h - 2*h + j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1153 - 2256 = 7*t. Let n = 492 + t. Solve -11*s + 18 = -n*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 times 1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -23, -3, -0.5 in descending order.\nAnswer: -1\/3, -0.5, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 59\/14 (b) 2 (c) 639.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0 + 0*y**3 + 1\/24*y**4 + 14*y**2 + 0*y. Let v(o) = -3*o**2. Calculate v(j(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626754 - 15186 = -4938*l for l.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m - 3*m - 4*m + (-3*m + 4*m + 2*m)*(-5 + 3 - 2) in the form i + a*m and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/20 + 7*m**4\/24 - m**3\/2 - 32*m**2. List the prime factors of b(-9).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 + 143. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhuh when four letters picked without replacement from {h: 4, u: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + 209. Suppose 2*o - 5*p - r = 0, 0*o - 646 = -4*o + 2*p. List the prime factors of o.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 1. Let k(w) = -5*w**2 - 2*w - 4. Let g(i) = k(i) - 4*q(i). Let f(u) = 3*u**2. Let l(j) = -17*f(j) - 6*g(j). Let l(x) = 0. What is x?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58181 - 39362. What are the prime factors of v?\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 9*l + 67. Let z = 98 + -85. Let m be g(z). Solve 6 = t + 2*b - 3*b, m = 5*t - 2*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6964 is divided by 1675.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 12:50 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3630 is divided by 71.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*o**2 - 181*o - 1096 with respect to o.\nAnswer: 8*o - 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4 - (((-839865)\/1350)\/(-73) - (-20)\/(-2)).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-1)\/(2\/180). Calculate the greatest common divisor of 30 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v = 11*v - 9*v + 52 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 d when four letters picked without replacement from hdddddhdhhhddddhddd.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*r + 3 + 1 - 3 + 3*r wrt r.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 47*b - 69. Let g(m) = -46*m. Calculate g(x(u)).\nAnswer: 92*u**2 + 2162*u + 3174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 24*n**2 + 675*n - 39. Give i(-28).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2849950 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 3*z + 11*b - 437, 2*b = 3*z - 443. What is the remainder when z is divided by 100?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 17*n - 5. What is o(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 25.226436.\nAnswer: -25.226436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a hour in seconds?\nAnswer: 51600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*q - 41 + 24*q + 39*q as m*q + t and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -40.53 and -1136452.\nAnswer: -1136492.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 33860446?\nAnswer: -4740462.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.02, 420, 8, 0.4, 4\/3, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941136897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 6 - (5 + -16 + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:28 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6*(-10)\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = y - 4 + 50, -2*y = 3*o - 25. Solve 4*w = o*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let p = 4.95 + 0.05. Let k = -3 + 3.5. Sort l, k, p in increasing order.\nAnswer: k, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = -4*u + 165. Suppose -10 - u = 7*c. Let o(m) = -m**2 - 3*m + 1. Give o(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -25*n + 30*n. Is 18 a factor of (-2)\/(-3) + (-590)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 12:23 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.05.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3125425 divided by -2.\nAnswer: 3125425\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*s**3*w**3 - 24*d**3*s**2*w**3 + 2*d**2*s*w**2 - d*s**3*w**3 + 5*d*s**2*w**3 + 2*d*s*w**3 wrt d?\nAnswer: 12*s**3*w**3 - 144*s**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + k - 3*k + (k + 4*k - 3*k)*(-5 + 4 + 3) + (3 + 3 + 2)*(2 - 2 - k + 5*k + 2*k + k + k - 6*k + 3*k + (k - 3*k + 0*k)*(-1 - 5 + 4) + 0*k + k - 2*k).\nAnswer: 67*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-6*(sqrt(156)*2 + sqrt(156))*-3)\/((5*(sqrt(72) - 3*sqrt(72)))\/sqrt(6)))*2)**2.\nAnswer: -864*sqrt(13)\/5 + 39508\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14978 is divided by 211?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364 equal to 1295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7628 + 181*u**4 + 7722 - 551*u**4 wrt u.\nAnswer: -1480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -96 and -92 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - 0.8. Let b = c - -0.3. Suppose -2*x + 14*x = -24. What is the nearest to -5 in x, b, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10415 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 18\/2 - 1826. Let n = 3088 + t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/9 - 566488*p**2\/9 + 72584192*p\/3 - 2323480576.\nAnswer: -2*(p - 192)**2*(p + 283628)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 7. Find y such that -y**2 + 2 + 8*y**2 + v*y - 6 = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (3 + sqrt(76))**2) + 5 + sqrt(38)\/sqrt(2).\nAnswer: -80 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17055732?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3709*q + 1. Let l(z) = z**2. Calculate b(l(y)).\nAnswer: -3709*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - h + 6*h - 1925 = 0, 5*h = -l + 373. Suppose -2*i + l = -702. Suppose 3*m - 338 = -4*p, -3*p + i = 3*m + 2*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 550479, 2201927, 4954341, 8807721?\nAnswer: 13762067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3082 and 2129662?\nAnswer: 2129662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w - 0*w. Let d be -122 + 53 - w\/(-2). Is -70 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**(-5\/7)*(o**(-1\/4))**(2\/21))\/(o**6*(o\/(o*o**(2\/9)))\/o*(o**(-3\/4)\/o)\/o*(o*o**4*o*o)\/o) assuming o is positive.\nAnswer: o**(-1909\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - a - 4. Let g(c) = -c**2 + 2*c + 4. Let l(m) = 4*g(m) + 3*h(m). Let f(q) = -3*q**3 - q**2 + 3. Let k be f(-1). Calculate l(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4367\/2583 + 106\/63. Find the common denominator of k and -69\/8.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 0.4, -5\/24, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*a + 322*a + 57*a + 20*a to the form s + f*a and give f.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 15*b**2 - 1 + 5 + (-2 - 1 - 7)*(-2*b**2 - b**2 + b**2) to the form z*b + h + x*b**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 5*s - 6, 5*g + 3*s - s = 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/65 (b) -430 (c) 3\/2 (d) 4 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, y: 2}. What is prob of sequence iiyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -4*z - 13*j + 59, 0 = 5*z + j - 74. Solve 0 = r - 5*v, -5*r - 4*v + z = -14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 5*p**2 + p**3 - p + 0*p**2. Let q be (0\/2)\/4 + (-679)\/7. Let t = q - -95. Calculate h(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/3*-1 - (-10 + 12). Sort -0.3, -1, 2\/3, f in descending order.\nAnswer: 2\/3, -0.3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(6601*v**2 - 13195*v**2 - 170*v + 6597*v**2) + (v**2 - v**2 + v**2)*(6 - 2 - 1).\nAnswer: -3*v**2 + 340*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-525)\/(-140)*56*4\/(-24).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0*o + 0 - 1\/2*o**3 - 129*o**2 - 1\/24*o**4. Determine d(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -0.0299.\nAnswer: -2.0299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 12, f: 3}. What is prob of sequence mgm?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 42 = -3*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-88)\/(-42) - (-23 + 25). Let j = -36.5 - -19.7. Let b = -17 - j. What is the nearest to b in 2, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 2*r + 3*f + 10 - 2, 12*r + 13*f + 263 = -0*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 5*d + 6. Let y be i(-3). Suppose 4*g + 5*r - 25 = y, 0*r + 1 = r. Suppose 0 = -0*m + g*m - 175. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 287 + -306. Let a = 0.01 + 0.09. Let h = 2 - 5\/4. Put o, a, h in descending order.\nAnswer: h, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 505 = 135. Let v = -36 - d. What is the greatest common factor of 95 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 203.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -53 (c) 5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 69*m**2\/2 + 592*m + 143. Differentiate j(h) wrt h.\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 3*(0 - -3). Let v = 12 + w. Let x = 6 - v. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23\/42 + -3\/14. Which is the biggest value? (a) 0.3 (b) u (c) -1 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 2*w - 34, -4*h + 52 = -w. Does 7 divide (6 + -5)\/(1\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 5:43 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by 9229.\nAnswer: 92\/9229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-1)\/2*(-14 + 14))\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 1?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3760 divided by -16\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2*p = -8, -4*z - 17*p + 19*p - 14 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqr when three letters picked without replacement from {x: 3, a: 4, r: 6, q: 6}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 76. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 1528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaim when four letters picked without replacement from {i: 1, h: 3, m: 2, a: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -360 + 361. Does 16 divide 293*c + (-4 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.09735718 and 0.043654.\nAnswer: 0.14101118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 9 = 0, 5*b = 6*v - v + 35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 65*i + 502. Let d be j(9). Let a(r) = -r**2 + 4*r + 2. Let b(p) = -3*p**2 + 7*p + 5. Give d*b(y) + 5*a(y).\nAnswer: y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/9 - 5*i**4\/9 + 2*i**3\/3.\nAnswer: -i**3*(i - 1)*(i + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 108*r**4 - 185427692*r**3 + 79591370323228*r**2 - 85486827203812*r + 5895642308168 = 0. Calculate r.\nAnswer: 2\/27, 1, 858461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**7\/2520 - a**5\/120 - a**4\/6 - 2*a. Let y(r) be the third derivative of i(r). Is y(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -33*u**7\/7 + u**6\/6 + 127*u**3\/3 + 9. Find the third derivative of g(s) wrt s.\nAnswer: -3960*s**3 + 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24\/14059337 or -1?\nAnswer: 24\/14059337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-56))\/((-302)\/1057)*12\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 18*o - 270 = 0. Let k be (o + -19 - 4\/(-6)) + 4. Factor 0 - 1\/3*b**3 + 0*b + b**4 - k*b**2.\nAnswer: b**2*(b - 1)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-145 - 0)*80\/(-100)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6, a + 30 = 5*v + 12. Differentiate 147*k**3 + 4*k**v - 7 + k**4 - 147*k**3 with respect to k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*q**5 + 14*q**2 - 2*q**5 - 4*q**2 wrt q?\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4227, -8445, -12663?\nAnswer: -16881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z**2 - 2*z - 3. Let b(a) = 12 - 4*a + 3*a - 14 - a**2 + a**3. Let m(v) = 3*b(v) - 2*f(v). What are the prime factors of m(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110211 (base 3) to base 8.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d - 99. Let w(j) = j + 28. Let r(u) = -2*c(u) - 7*w(u). Let k = 4 - 10. Give r(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 0.00166325.\nAnswer: 5.00166325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16384, -131240, -443032, -1050232, -2051312?\nAnswer: -3544744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*k**6 - 24*k**4*o**3 - 6900*k**2*o**3 + k*o**3 wrt k.\nAnswer: 9960*k**3 - 576*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4296182 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*-2*-18. Let t = n - 26. Let c = -4 - t. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/5 + 4\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(275) + -5).\nAnswer: -8 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - 7. Let w be (-145)\/q + 2\/(-8). Solve 2*k + 12 = x, w*x = -k + 4*x + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 2*m - 3*m + (-4 + 1 + 5)*(-m + 0 + 0) + 1 + 0 + 3*m + 1.\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from dldldia?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 15*j = 25*j - 16*j + 215 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 91*r - 137. Let y be s(2). Put y, -16, -2 in ascending order.\nAnswer: -16, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 0*d**3 + 5*d**3)*((9 + 10 - 18)*(2 + 3 - 4) + 1 + 0 + 2).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 39816142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/200 and -161\/120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128240 + 190923. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4120\/2 - (37 + 3 + -37). What is the highest common factor of m and 561?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 2375522*z - 1410776193121.\nAnswer: -(z - 1187761)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f + 9 = 0. Suppose m - 2*m + 6 = 0. Suppose -c + 6 = -2*o, -2*c - o = -f*c + m. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 - 4*a**4 + 4*a**4 + (3*a**2 - 3*a**2 + 2*a**3)*(a + 2*a - 4*a) + (27*a - a**2 - 27*a)*(-33*a**2 - 30*a**2 - 2*a**2).\nAnswer: 60*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 28 + -3 + -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Which is the smallest value? (a) -5 (b) u (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (870\/(-50))\/(7\/(-20)*(690\/(-70) + 9))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5902*t + 100330. What is b(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8*-0.12\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n. Let m be y(-2). Let o(a) be the first derivative of 2*a**2 - 4*a - 4. List the prime factors of o(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - 9) + 4 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - u**3 - 6*u**3)*(-38*u + 44*u - 4*u + 63).\nAnswer: -12*u**4 - 378*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236010 + 3?\nAnswer: -236004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2 + 2200834*q - 4401676 = 0?\nAnswer: -1100419, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = p - 2*k + 8, 2*p - 9 = 5*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2 - a + 1. Let d(f) = -5*f**3 + 8*f**2 + 29*f - 21. Let o(s) = d(s) + 4*w(s). Let i be o(7). Solve 5*m = -i + 26 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 times -0.5\nAnswer: 39.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -8 + 27 - (-93 - -103)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001126539 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7944463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 103a01 (base 11) to base 10\nAnswer: 166255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1451, 1459, 1481, 1523, 1591, 1691, 1829?\nAnswer: 2011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*d - 26. Suppose 5*m - s = 3*s + 5267, 5265 = d*m - 5*s. Suppose 5*o + 3*k - 1053 = 0, o + 4*o - m = -5*k. List the prime factors of o.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 727180906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 62 + 276 = 3*q, 0 = -5*q + m + 556. Suppose -j = -2*n - 59, 2*n + 382 - q = 5*j. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 9) to base 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 577 * -30.6298.\nAnswer: -17673.3946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18667*t**4 + 9210*t wrt t?\nAnswer: -224004*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 162?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -3, -1, 4, 2943?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b08793 (base 12) to base 11\nAnswer: 160a765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + u = -0*d - 17, 3*d = -4*u - 11. Let m = 3.13 + -2.63. What is the closest to 11 in d, m, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 11*u**4\/24 + u**3\/2 - 109*u**2. Let y(i) = 4*i**2. Determine y(o(p)).\nAnswer: 484*p**2 + 264*p + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -36*q**2 - 24704*q - 5488 = 0.\nAnswer: -686, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/(-4 - (-17364)\/4338). Let q = -167 + p. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1153*f**3 + f**2 - 135*f + 134. Let b be o(1). Solve 0 = b*z - 1143*z + 50 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 1 = 3*b - 4*v, 4 = -2*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 312 + -1247\/4. Let l = 6 + -3. What is the second smallest value in 5, l, c, -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8e2 (base 15) to base 9.\nAnswer: -2675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 9235*l**4\/24 - 7*l**3\/3 + 26*l**2. Is w(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*o - 139*o = -24, 0 = 3*w + o - 570. Calculate the greatest common factor of w and 5568.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -360*d - 8134. Let m be z(-24). Calculate the highest common factor of m and 460.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21346.749 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 36429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**5\/60 + c**3\/6 + c**2 + 2. Let n(s) be the second derivative of w(s). Factor n(f).\nAnswer: -(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 + 14*t**2 - 14*t + 3. Let l(u) = u**3 + 6*u**2 - 7*u + 2. Let x(r) = 6*h(r) - 15*l(r). Solve x(b) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**41\/(h\/(h\/(h*h**13*h)))**(1\/7) assuming h is positive.\nAnswer: h**(559\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 46895*l**3 - 4*l**2 + 10*l - 19. Let h be o(3). Suppose 0 = 4*x - z + 10186142 - h, 2*x + 4459998 = -z. Round x to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13556840?\nAnswer: 2, 5, 11, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 7*w**2 - 6*w + 2. Suppose 28 = x - 5*x. Let k be t(x). What is the units digit of 316\/k + (-4)\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*v + 256*v**3 + 458\/3*v**2 + 392\/3*v**4 - 4\/3 = 0. Calculate v.\nAnswer: -1, -1\/2, 2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/14 (b) 1\/5 (c) -1150 (d) 2\/5 (e) 1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2\/h)\/(h\/h**6))\/(h**(-2\/3))**0 assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, 0, -2, 2, 52, -10, 16 in increasing order.\nAnswer: -10, -2, 0, 2, 16, 52, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056026303 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 2*y**3 + 2561 - y**2 - 3380 to r + p*y**3 + u*y**2 + x*y and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*z**3 + 1298*i**2*z - 63*z**3 wrt z?\nAnswer: -6*i**2*z - 378*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 238*t**2 - 14*t - 119. Is 55 a factor of u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-56) - 213162\/(-42). Suppose -33055 = -20*p - h. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -38. Suppose -58 = 6*p - 22. Let z be 9*(1 + 4\/p). Solve -2*t = -3*w + 9, z*t + 5*w + 7 = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210911 a multiple of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 5, -1, 4 in increasing order.\nAnswer: -83, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/715 and 44\/3653.\nAnswer: 200915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 215*j**2 - 2035*j + 290. Let r be s(-97). Let o be 4\/(-10) + (-487)\/(-5). Are o and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -142*d**3 + 6*d**2 + 11*d - 58. Let o be z(4). Round o to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 5) in base 2?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 32*h**2 + 90*h + 262. Let n be c(-4). What is the highest common divisor of n and 1296?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**5\/5 - 29*m**4\/3 - m - 6. What is the third derivative of c(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2424 - 36358\/15. What is the smallest value in n, 0, -19, -0.3, 3\/4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 3, m: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6672 (base 8) to base 9.\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8088)\/(-9724) + -2 + 1. Let g = u + -3\/221. Calculate the common denominator of 57\/8 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -15*b**4 - 85*b**3 - 110*b**2 + 210*b + 5. Let h(g) = -7*g**4 - 43*g**3 - 55*g**2 + 105*g + 2. Let a(o) = -5*h(o) + 2*v(o). Factor a(q).\nAnswer: 5*q*(q - 1)*(q + 3)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*z**2\/7 + 48354*z\/7 = 0. Calculate z.\nAnswer: 0, 8059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - 15. Let v = 64 + i. Which is greater: v or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1 + (-6)\/(-3)). Let w = q - -18. What is the remainder when 43 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -35, 0, 2 in descending order.\nAnswer: 5, 2, 0, -8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20076851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.1. Let p be (-9)\/(-12)*(-2)\/(-4). Let r = -1.2851 + 0.2851. What is the third biggest value in o, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**6)\/r*r)**9\/(((r*r**(1\/2))\/r)\/r**11) assuming r is positive.\nAnswer: r**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/2 + 4535586*k - 3428590060566.\nAnswer: -3*(k - 1511862)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1520 and 4996.\nAnswer: 1898480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1006, 1014, 1036, 1078, 1146, 1246, 1384, 1566?\n\"Answer: u**3 + u**2 - 2*u + 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 9*d + 15. Let i be n(-10). Find the second derivative of -139*c**2 - 152*c + 140*c**2 + 48*c**i - 2*c + 5*c wrt c.\nAnswer: 960*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/6)\/(y\/y**(-4\/5))*y**(1\/15)\/(y*y**(-9)) assuming y is positive.\nAnswer: y**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/25 (b) 0.05 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -181*u + 3. Let j(x) = -53*x + 1. Let b(r) = -14*j(r) + 4*l(r). Let a(s) = s. What is 2*a(t) + b(t)?\nAnswer: 20*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4338, 20707, 49160, 89697, 142318?\n\"Answer: 6042*y**2 - 1757*y + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2528234 is divided by 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27806 and 8.\nAnswer: 111224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1469 and 4384739.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 216228 divided by -2333\nAnswer: -216228\/2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28841 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -44, -4 in decreasing order.\nAnswer: -3, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -105*w**2 - 64*w - 122*w**2 + 0 + 63*w + 1 + 262*w**2. What is q(1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (-33 - 43) - 66\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(200) - ((sqrt(200) + -1)*5 - sqrt(200)))**2 + -3.\nAnswer: -240*sqrt(2) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 5. Let h be m(6). Factor -8*v - h - 6*v**3 - 44*v**3 + 60*v**2 + 80*v + 17.\nAnswer: -2*(v - 2)*(5*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x + 8. Let m(t) = -t**3 - 2*t + 2. Let u(k) = k**2 + 5*k + 6. Let f be u(-3). Let o be m(f). Calculate the greatest common divisor of x and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*a + 4*h - 19, -5*a - 5*h + 40 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 1, -0.1, -0.21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, n: 2, z: 1, h: 3}. What is prob of picking 1 f, 1 n, and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 4:24 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*z + 28*z + 6*z**3 + 22*z + 25*z.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 61?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + 3*c + (-c + 1 - 1)*(0 + 0 + 2))*(10 - 94 - 45 - 1 + 3 - 3 + (1 + 1 - 3)*(3 - 2 - 3)).\nAnswer: 128*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4445 divided by 5\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2)\/(79 + -87).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 50*t - 47*t. Which is smaller: 10 or t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24*2\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k + 2. Let d be r(-2). Let z = -12 + 8. Let s = z - d. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.087*-0.3\nAnswer: 0.0261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -901d2 + 6?\nAnswer: -901ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4296 divided by -1074\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x = 21*x - 130. Find the second derivative of -69*l**2 + 16*l**x + 20*l**2 + 100*l + 19*l**2 + 26*l**2 wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, l: 7, y: 5}. Give prob of picking 2 q.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6)*2 - 30. Let c be ((-657)\/(-4))\/(391\/(-68)). Let a = c - x. Find the common denominator of 21\/5 and a.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 514907.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2006613 is divided by 337.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222 - 1044444?\nAnswer: -1100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -1.39, -1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381457658 = 5*g - 243403057. Let x be g + (-2)\/3*45\/(-10). Suppose -6*t = 88627854 + x. Round t to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8009\/200 - -1023\/25. Suppose -h*k - 1\/4*k**2 - 3\/8 + 5\/8*k**4 + 3\/4*k**3 + 1\/8*k**5 = 0. Calculate k.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2831091 days in nanoseconds?\nAnswer: 24460626240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 87. Let p = k - 1. Let q = p + -24.0000026. Round q to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 2:37 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -58.04. Let x = 0.04 - g. Let p = -4 - x. Which is the second smallest value? (a) p (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = 997 - 315. What is the remainder when r is divided by 1\/(-2 + 17\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 9 = 1, -5*f + 10 = -5*i. Let h be 1 + 2*(f + (-14)\/(-4)). Solve 3*m + 11 = u, -h*m = m + 5*u + 45 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17687?\nAnswer: 23, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -33*k**2 + 26*k + 6. Let h(x) = -x**2 + 9*x. Calculate c(w) - 2*h(w).\nAnswer: -31*w**2 + 8*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(384)*-3 + sqrt(384) + sqrt(384))\/(sqrt(16)\/(sqrt(6)\/sqrt(3))).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3782172 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and 37930.05 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 9:47 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12328*n + 875596. Calculate q(-71).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/28 of a week?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4\/12 + 7*u**3\/6 + 11*u**2\/2 + 7*u + 4. Let x(c) be the first derivative of t(c). What is the tens digit of x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1872441731 rounded to 3 dps?\nAnswer: -0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 553, 1105, 1657, 2209, 2761?\nAnswer: 3313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*m = 224, 3*f - 6*m = -4*m + 167. What is the greatest common factor of f and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150 + 171. Suppose i*x - 16*x - 10 = 0. Solve -x*a - 3*t - 1 = 7, 3*t + 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 2, b: 2}. What is prob of picking 1 b and 1 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n + 60. Let i be f(5). Suppose -5*a + 1 - 6 = i. Let h be (-6)\/(-4)*a\/(9\/(-12)). Solve 0 = -h*d + 3*x + 2*x + 19, 0 = -d + x + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 7*f. Let x(i) = -i**3 + 3*i. Calculate -3*t(j) - 7*x(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 22 + 66 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1551 (base 6) in base 9?\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47, -55, -77, -119, -187, -287, -425, -607?\n\"Answer: -d**3 - d**2 + 2*d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64253.066 - 64309. Let h = 394 + -338. Let f = h + r. What is f rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - ((-14)\/(10 + 4) + -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4731229634.\nAnswer: 2, 19, 124506043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0)*((-54264)\/18564)\/((-42)\/39)\nAnswer: -76\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-60)*20\/(-2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11\/6, -0.3, 22, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101\/544 + 6939\/16864. Let d = -3 + 2. Does d = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2006 + 2006.823. Let i = g - 0.073. Let j = -0.85 + i. Which is the third smallest value? (a) 0.4 (b) j (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.34 and -0.1.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 3*n + 3. Suppose 16 = -2*y + 6*y. Let l be (-2)\/(-9) + (-14)\/63. Suppose l = 3*u - 4*u + y. What is s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -3703 (c) 91 (d) 0.4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2535 and -0.4.\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*p, -p - 2*p - 25 = -2*a. Suppose -482 - 453 = -a*c. Calculate the highest common divisor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5))**50*(w**(5\/4)*w)\/(w**10*w))**(-2\/85) assuming w is positive.\nAnswer: w**(23\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2735588857?\nAnswer: 107, 25566251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 10951992.\nAnswer: 76663944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -95.1. What is the nearest to q in 0.1, -2\/11, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 25\/(3575\/26)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1464c7d - -1b?\nAnswer: -1464c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63931.19 micrograms in kilograms?\nAnswer: 0.00006393119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*k - 19 = -6*k, k + 3 = 4*g. Which is the biggest value? (a) 1 (b) g (c) 2\/3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veg when three letters picked without replacement from vvwvvwvvvvvegvv.\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1879 - 1675. What is the lowest common multiple of h and 184?\nAnswer: 9384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 7 (b) 0 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 + 1263 = -42*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 5471, -689.\nAnswer: -689, -6, -4, 5471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2700 + -8099\/3. What is the nearest to -3 in l, -2, 14.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 122*o + 2582. Determine f(-21).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.83 + -2.5. Let p = -0.03 + d. Let v = p - 5. Put -5, v, -1\/7 in increasing order.\nAnswer: -5, v, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*h + 42, 4*h = 5*k - 99 + 17. Solve -5*m = -4*w - k, -2*w - 5*m + 3 = -3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4 - 227183*a**3 - 12901552042*a**2 + 167761753596*a + 180663078456 = 0. Calculate a.\nAnswer: -113598, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43210 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/28 and -109\/224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18 + 0 + 53150430\/(-9639216). Let t = -2\/22313 - o. What is the common denominator of t and 27\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 1:36 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + 1 + (-1 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 663, -0.5, 3\/7, -4, 5?\nAnswer: 663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/16 + 171\/12. Suppose -4*i + k = -26. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/7 or 207.0375?\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -59322901 divided by 4?\nAnswer: -59322901\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 47\/9 + (-4)\/18. Let v = -11 + 14. Find the second derivative of -5 + 5 + 3*u - u - v*u**g wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 4 + 1)*(2 + 0 - 4) - 17 - 50 - 52)*(-3*j - 2*j + 3*j) to g*j + i and give g.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -241 - -871. Let n = d + -399. Calculate the highest common divisor of 33 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(243) - (-3 + 2*sqrt(243)) - ((sqrt(243) + 4)*1 + sqrt(243) + sqrt(243)))**2.\nAnswer: 72*sqrt(3) + 3886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 127*v**2 - 7*v - 63. What is the hundreds digit of i(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - u**2 + u + (u - 3 + 3)*((4 - 5 + 0)*(4*u + 2*u - 7*u) - u - 2*u + u)*(-52 - 8 - 54)*(3 - 10 + 4) to h*u**2 + s + j*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 29*g**3 + 6*g**2 + 416*g - 5. Let w(a) = 39*a**3 + 8*a**2 + 417*a - 6. What is 4*k(c) - 3*w(c)?\nAnswer: -c**3 + 413*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2160?\nAnswer: 1\/2160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -833ac4 - 3?\nAnswer: -833ac7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. Which is the fourth biggest value? (a) -5 (b) 2\/5 (c) v (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u - 0. Let i(z) = -28*z**2 - 20*z + 25. Let f(c) = 10*c**2 + 7*c - 9. Let y(m) = -17*f(m) - 6*i(m). What is y(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*b - b + 108, -5*b + 181 = -2*k. What is the remainder when 172 is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 * -76766\nAnswer: -6832174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.948 + 0.052. What is the closest to -1 in -3, p, -0.07, 0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 3*y + 10. Suppose 0 = -r + 5*r - 288. Calculate the remainder when r is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 - (3 - 3). Let i be -1*((-8)\/2 - -2). Let c be 17\/4 + i\/(-8). Solve -2*l = -5*o - l + 21, 28 = c*o + m*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**3*b*b**5)**8 assuming b is positive.\nAnswer: b**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -114, -4, 3\/7, -3\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1437681637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364832543?\nAnswer: 37, 9860339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-15) + (-3 - 976\/20). Let d = h + 36. List the prime factors of (d\/(-5))\/((-16)\/(-680)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -336064*p**3 + 311983*p**2?\nAnswer: -2016384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 3. Let j be 34\/(-12) - (-2)\/(-12). Let n be j\/(-1*9)*-9. Let z be g(n). Is -2\/3 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(1 - 3 + 0)*(60*g - 98*g - 37 + 106*g).\nAnswer: -136*g + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002088863447 rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, 52, 276, 774, 1648, 3000, 4932, 7546?\n\"Answer: 17*k**3 - 16*k**2 - 19*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6162, -5844, -5526, -5208, -4890, -4572?\nAnswer: -4254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - 423030?\nAnswer: -422761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/135480 and 143\/2526702.\nAnswer: 50534040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10003242 + -3024?\nAnswer: 10000213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -538?\nAnswer: -9\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 114 = 429. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*b**2*u**2*v**3 - 128*b**2*u**2 - 3*b**2*u - 4*b**2*v**3 + 3*b*v**3 - 15*u*v**2 wrt u?\nAnswer: -106*b**2*v**3 - 256*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 183*g**5\/10 - 907*g**4\/12 + 15*g - 12. What is the third derivative of o(k) wrt k?\nAnswer: 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -52. Let j = r - 32. Suppose 21 - 30 = -j*u. Solve 3*m - 5*w + 40 = 0, m - u*m = 3*w - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 6*m**2 + 15*m - 14. Let r be g(-7). Let h = 116 + r. Calculate the highest common divisor of 230 and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*y**3 + 366*y**3 - 187*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/8334331777 + 319829981983823\/172720691746548. Let s = -227\/314 + h. What is the common denominator of s and 121\/10?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + f + 3*j + 10, 0 = -4*j. Let z be ((-22)\/66)\/(2\/(-66)). Let a = 20 - z. Put 4, a, f in descending order.\nAnswer: a, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 5*t**4\/8 - 5*t**3\/3 - 25*t**2\/4 + 15*t - 22. Factor h(s).\nAnswer: 5*(s - 3)*(s - 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzfxuzyzwuyyuzw. Give prob of picking 1 u and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14524*r + 2585274. Give i(-178).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6*i - 4*b - 16 = 0, 3*i = -3*b - 30. Let d(g) = 2*g - 1. Determine d(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*6\/(-108))\/(1\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - m = 2*w - 12, 0 = 2*m. Let q be -1 - (-5)\/((-10)\/w). Factor 0 - 2\/3*z**q + 4\/3*z.\nAnswer: -2*z*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t + 3. Suppose -11*i + 5 + 17 = 0. Calculate the lowest common multiple of i*(-1)\/4 - 164\/(-8) and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0*s + 12. Let v(c) = c**3 - 7*c**2 - 3*c - 6. Let d be v(7). Let k be 2\/(-9) + s\/d. Solve -3*b + 4 = w - k*b, -4*b = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -8 + 2 + (-6 - -2) + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 divided by 1?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, o: 1, y: 1, p: 3, q: 5}. What is prob of picking 1 o, 2 p, and 1 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d\/(d*d**3*d*d))\/d)\/d*d))**(-21))**(2\/35) assuming d is positive.\nAnswer: d**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.669771mm in meters?\nAnswer: 0.000669771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Let a = 0.07 + -0.07. Let b = -4 + a. Sort b, r, 2.\nAnswer: b, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 12*z - 2. Let n be l(12). Let p(o) = 7*o**2 + 4*o + 3. What is the tens digit of p(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/385 + 397\/4620. Let q(b) be the first derivative of 0*b - 3 - l*b**2 + 1\/18*b**3. Factor q(o).\nAnswer: o*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 - 5818*q + 11640 = 0. Calculate q.\nAnswer: -5820, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1364 divided by -1673\nAnswer: -1364\/1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 9*z - 8. Let v be r(-10). Suppose -h + 20 = -3*b, 0*b = -3*h + v*b + 25. Solve 3*u**3 + u**4 - 3 + 9*u**2 - 4*u**4 - 3*u + 2 - h = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -1. Let g = i - -4. Let l(n) = -11*n**3 - n. Is 12 a factor of l(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 - 8*f - 199. Let d(b) = -11*b**2 + 16*b + 378. Calculate -3*d(y) - 7*o(y).\nAnswer: -2*y**2 + 8*y + 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 344, 0, -60, -16, 5 in descending order.\nAnswer: 344, 5, 2, 1, 0, -16, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 + 71. Let j be (-9)\/(-12) - x\/8. Suppose -3*f - j + 1 = 3*y, -3*y - 6 = 2*f. Sort -1, 4, y in descending order.\nAnswer: 4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b. Let f(r) = 3*r**2 - 48730*r. What is f(m(z))?\nAnswer: 48*z**2 + 194920*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y + 98427 + 157281 = -286097. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-6 + 9 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 1}. Give prob of sequence ene.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/12215700 and -191\/80850.\nAnswer: 134372700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44168 divided by -18.\nAnswer: 22084\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 282233657 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**12*p*p**(-9)*(p**(-1\/7))**(-3\/14) assuming p is positive.\nAnswer: p**(395\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12834)\/(-207))\/(16\/16)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -150452b92 - 3?\nAnswer: -150452b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4234 (base 5) to base 12\nAnswer: -3b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.61 and 5?\nAnswer: 43.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30.2 and -0.07.\nAnswer: -30.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t**2 - 1362 + 683 + 679. Suppose -3*n + 34 = 4*g, -g = 4*n - 0*n - 15. Let l(p) = p - g*p + 7*p. Give z(l(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 51*y**2 - 2 - 2*y - 47*y**2 + 2*y. Let c be t(2). Let j = 38 - c. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/11 (c) -6\/19 (d) 1\/6 (e) -1.4425 (f) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -102. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8128?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {f: 3, e: 5, i: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*3)\/(sqrt(900) - sqrt(900)*2).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)\/(3 - 1). Let f = 1996 + -17932\/9. Let b = f + -10\/3. What is the nearest to v in b, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2030 (base 5) to base 14\nAnswer: 14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 380, 1649, 3750, 6683, 10448, 15045, 20474?\n\"Answer: 416*h**2 + 21*h - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*a**2 + 32*a**2 + 37*a**2 to the form j + d*a**2 + m*a and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 4ee3?\nAnswer: 4ee6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -1. Suppose 4*i - 414 = -2*x, -u*x + 195 = 4*i - 2*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 - 8 = 0. Let x be 8 + -7 - (1 - 6). Let g be 38\/4 + 3\/x. Solve -m*s = -0*s - g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) 4407 (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183\/892 + -10\/223. What is the fifth smallest value in -0.34, -5, k, -4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.09, -5, -3, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -6*s - 15. Let r = s + 10. Are -5 and r nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2160 and 35200.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.92 - -0.08. Let q = -182080.9999875 - -182087. Let n = q - o. What is n rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4) + 2 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 21945?\nAnswer: 1\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*v - 5 = 0, -3*r - v + 17 = -2*v. Let z = 7 + -6. Solve -5*t = -r*t - z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158386?\nAnswer: 2, 79193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -66*y**2 - 20*y + 160. Let r(q) = -22*q**2 - 7*q + 60. What is -8*r(x) + 3*s(x)?\nAnswer: -22*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 1276478874.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 156\/(-459) + (-16)\/(-136). What is the nearest to -1 in -2, 1\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(200) + 0) + 3 - ((sqrt(200) - (-3 + sqrt(200) + sqrt(200) + -1)) + sqrt(200) + 5))**2.\nAnswer: 120*sqrt(2) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 545614 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/5 - 532*d**2\/5 - 28249*d\/5 - 25564 = 0.\nAnswer: -44, -5, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31637646 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0)*105\/42?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**3 - 3113*q**2 - 24457*q wrt q.\nAnswer: 18*q - 6226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -16*r**2 + 9*r + 463. Let i(a) = -16*a + 4. What is 4*h(p) - 9*i(p)?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 + 5*y**4 - 4*y**4 + (2*y**2 - 4*y**2 + 6*y**2)*(-18*y + 18*y + 5*y**2).\nAnswer: 21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -103*f**4 - 22*f**4 + 24*f**4 - 2*f**4 + 0*f**4 + 3*f**4 + (-3*f + 2*f + 0*f)*(2*f**3 + 0*f**3 + f**3) + 0*f**4 - f**4 + 0*f**4.\nAnswer: -104*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 24. What is k(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1138 (b) -1\/3 (c) 9\/68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(5\/15))\/(-3*1\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y. Let t(b) = -116*b - 126. Let q(l) = 1160*l + 1218. Let a(g) = -6*q(g) - 58*t(g). Calculate a(v(j)).\nAnswer: 1392*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190))\/sqrt(10) - -3*(sqrt(19) + sqrt(1216)).\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0*o + o - 50 - 9 + 116 + 83. Is 2 a factor of c(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Let x be (-4 + 1)\/(5 - v). Let d(l) = -2*l + 1. Let w be d(x). What is the highest common factor of w and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25 bigger than -14742.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -447275721471.\nAnswer: 447275721470.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/(-54))\/(4\/114). Suppose -t - 2 + a = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 1 - 21. Let v(n) = -5*n**2 + 17*n + 26. Let b(y) = -14*y**2 + 50*y + 76. Let m(j) = 6*b(j) - 17*v(j). What is m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3645?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 570 - 562. What is the remainder when 60 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005579771 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6089308.\nAnswer: 2, 757, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*r + 5, 0*g + 30 = -5*r - 4*g. Let j(k) = 2*k + 8. Let n(a) = -a - 4. Suppose 7*q - 6*q = 4. Let i(w) = q*j(w) + 7*n(w). Give i(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23469*c**2 + 218*c - 33 wrt c?\nAnswer: 46938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i = -30. Solve -i = 4*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - t = 22, -2*f + 4 - 2 = 3*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-4 - -1) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {v: 4, x: 1, c: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22990\/(-2090) + (-533)\/(-6) + 5\/30*1?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2009*c + 2005*c = 5*a - 42, 2*c = 4*a + 8 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*j**2 - 5*j + 667*j**2 + 5*j - 832*j**2 + 9*j**3 - 5.\nAnswer: 9*j**3 - 986*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*t + 52762 - 52762.\nAnswer: -108*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - o**2 + 2*o. Let x(t) = -3*t**3 - 2*t**2 + 5*t. Give -5*b(a) + 2*x(a).\nAnswer: -a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29625573 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602864?\nAnswer: 2, 41, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001773817 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 100, 126, 170, 238, 336?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105423 = 4*k + 3*u + 10683, 0 = 3*k - u - 71081. What are the prime factors of k?\nAnswer: 3, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.637417741 to 4 dps.\nAnswer: 0.6374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/7 - (-10)\/35. Let i be (1 - u - 0) + 0. Put -1, -2, i in ascending order.\nAnswer: -2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -1288, -4297, -10164, -19843, -34288, -54453, -81292?\nAnswer: -115759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = 3*o. Let l(f) = 6*f**4 - 8*f**3 - 6*f**2 + 4*f. Let g(x) = -x**4 + x**3 + x**2. Let u(c) = o*l(c) + 4*g(c). Factor u(a).\nAnswer: 2*a*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 9*z - 24. Determine g(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -16. Let k = m + -4. Suppose -3*o = -3*d - d - 63, k = -d. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10465, 10643, 10953, 11407, 12017, 12795, 13753, 14903?\n\"Answer: 2*d**3 + 54*d**2 + 2*d + 10407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t + 38. Calculate w(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-1)\/(3 - 7\/((-532)\/(-232)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10760464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 + 2*f + 2*f**2 - 5*f**4 + 0*f**2 + (-2*f**2 - f + f)*(-5*f**2 - 12*f**2 - 3*f**2) to the form o + k*f**2 + x*f**4 + p*f + c*f**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -h + 6, -3*h = -4*g - 11 + 32. Suppose 150 = 4*w + 5*c, 0 = 2*w + g*w - c - 173. What is the remainder when w is divided by (9\/12)\/(3\/72)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from jdjjdjdjjjjdjddjdjj?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + 32. Are 98 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 218 or 216?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 15*b - 16*b. Suppose -5*m - 169 = -b*z, 4*z = -m - 0*m + 349. Calculate the remainder when z is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 + 187. Solve -k - 4*q = 1, 4*k + 6 + 9 = -d*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218060 - 654491 + 0*i + 218213 + 218218 + 4*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275162 (base 11) to base 8.\nAnswer: 1512511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*f + 19, -7 = 2*p + 3*f + 12. Let b(d) = 7*d**2 + 5*d. Let y(s) = 11*s**2 + 8*s. Calculate p*b(w) + 5*y(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*k - 20, -7*h - 3*k = -3*h + 28. Let a(q) = -q**3 + 8*q**2 - 8*q - 2. Calculate the remainder when h\/(-10) + 426\/10 is divided by a(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -79*q**4\/4 - 125*q**2 + 52*q + 103. Let k(n) be the first derivative of t(n). Differentiate k(x) wrt x.\nAnswer: -474*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.2379451s to hours.\nAnswer: 0.00145498475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -689, -687, -689, -695, -705?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 298*u - 297*u - 15, -2*w = -3*u + 1. Solve 0 = -2*t + s + 49 - 36, -t - w*s = 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6074, -5 in descending order.\nAnswer: 2, -5, -6074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 60*r. Let j(t) = 11*t**2 - 20*t. Let s(m) = -25*m**2 + 45*m. Let o(i) = 9*j(i) + 4*s(i). Give o(y(p)).\nAnswer: -3600*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9407766, -18815525, -28223284, -37631043?\nAnswer: -47038802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 + 10 = -7*a. Let t be 4\/a - 75\/110. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/8 + 6\/(-8). Let g(p) = -18*p + 56. Let x be g(3). Suppose -h = -q + x. Solve -l - q = 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.44. Let r = -1.46 - t. Let f = 1.5 + r. Which is the biggest value? (a) f (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2924406 is divided by 718?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/(-4))\/3)\/((-26)\/(-260))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59077283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f - 1 = 0. Let o be 2\/2 + (f - -3). Let x(v) = -1 - o + 4 - v. Let j(p) = -2*p**2. Give j(x(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -71, 231, 829, 1729, 2937?\n\"Answer: y**3 + 142*y**2 - 131*y - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5\/3, -0.5, -5\/4, 2\/27, -1\/9, 44, 0.117?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 15*g**2 + 51*g - 11. Let f be c(10). Let v(x) = -x. Let m(k) = k**2 - 1 - 2 + 2*k**3 + 4 + 6*k. Let h(z) = m(z) + 4*v(z). Determine h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 194179*h + 1941726. Calculate m(-10).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 203 (c) 2\/17 (d) -309.3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17944 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-6))**(-40) assuming v is positive.\nAnswer: v**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from {y: 3, a: 4, n: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. What is the units digit of ((-27)\/(-3))\/3 - n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50011441 to the power of 1\/2, to the nearest integer?\nAnswer: 7072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -793 = -3*q + 269. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pip when three letters picked without replacement from yisnsnpiznnpyzz.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -442 - -487. Calculate the remainder when 75 is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t**(-4)*t*t)\/(t**1)**(-29))\/(t\/((t\/(t*t*t*t**3))\/t)*t*t**(2\/5))**(-10\/11) assuming t is positive.\nAnswer: t**(370\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 5:13 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202*q**3 - 3095*q**2 + 4600978*q + 1?\nAnswer: -1212*q - 6190","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -0.499645.\nAnswer: 0.000355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -476, -1236, -2288, -3626, -5244, -7136?\n\"Answer: c**3 - 155*c**2 - 4*c + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10 = o. Suppose 15 = 3*v, -v + o = -3*q + 44. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1174851*h + 1132202 with respect to h.\nAnswer: -1174851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-6 - 0) + 9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660792 by 220264.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4)*-1)\/((-56)\/(-224))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4264*f**2 + 29 - 29.\nAnswer: -4264*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 take away -158792?\nAnswer: 158807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*c + 0 = 6, c + 41 = 4*i. Solve -i*t = -12*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1599.7 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2405\/2 + -119072\/99. What is the common denominator of m and -137\/1890?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164469927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is (((-75)\/20)\/15)\/(7\/4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v. Let y(c) = 100 - 100 - 3*c. Determine w(y(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 114986781*j**4 - 105636433 wrt j?\nAnswer: 459947124*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 5*s - 2. Let k be j(5). What is the second biggest value in 2\/7, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) + 42\/5. Suppose 0 = -3*k + 1 + 17. Suppose -2*o = -k*o + n. Solve 5*d + 7 = o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000040573124319 rounded to 7 dps?\nAnswer: 0.0000406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 33920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - -3 - (3 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3991203 or -3991212?\nAnswer: -3991212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 14*i + 252 = 5*i. Suppose 3*v = -5*k + 72, 3*v - 2*v - 24 = -3*k. What is the greatest common divisor of i and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48355728 and -3.\nAnswer: 48355725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/24)\/(r*r*r*(r\/(r\/(r*r\/(r\/(r\/(r*r**(-1\/11))))*r*r)*r))\/r)*r\/r**(4\/9)*r*r**11\/r assuming r is positive.\nAnswer: r**(5945\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8477 - 0.847677089. Round g to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -18, -35, -58, -87?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 12:27 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3812 - -3614.0672. Let d = -405.9451 - a. Let r = d + 208. Round r to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -20*t**2 + 13*t - 50. Let o(i) = -7*i**2. Determine f(o(r)).\nAnswer: -980*r**4 - 91*r**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - d - 4 = 0, -2*r - 111*d + 10 = 108*d + 117*d - 337*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c - 270. Suppose 0 = -d + 23 + c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 527 and 341?\nAnswer: 5797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*4)\/((-1)\/10*4) - -43?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 19. Let d(r) = -r - 9. Let k(l) = -7*d(l) + 3*y(l). Suppose -q + 4*o = -26, -3*o - 5 = 2*q - 2. Let c = 1 - q. Give k(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cckjqjjkkkjcjkckqdc. What is prob of picking 1 k, 1 q, and 2 j?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 11:11 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 6854097.\nAnswer: 27416388","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**5*f**(-6\/7)*((f*f**(3\/8))\/f)\/(f**8*f))\/((f*(f\/f**5)\/f*f)**(2\/89))**(5\/3) assuming f is positive.\nAnswer: f**(-66635\/4984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14 + 0)\/(1\/2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -67*n - 19. Give v(2).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -15*w + 3. Let x be a(-3). Suppose -3*p + 30 = 5*g, 0 = 5*g + 4*p + 18 - x. Suppose -g*z - 6 = -12*z. What is the lowest common multiple of 34 and z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0 + sqrt(252) + 4 - sqrt(252) - sqrt(252))**2*-5 - ((sqrt(168) - (sqrt(168)*1 - sqrt(168)))\/sqrt(8))\/(-1*sqrt(300)).\nAnswer: -80 + sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 970273435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 251, -1, -0.5, 1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28928043 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -4 - (-12 + 1). Let o = 8 + -5. Suppose -o*f + 2*h = -m, h - 10 = -4*f - h. Solve -f*i + 10 = -8*i + n, 0 = -3*i + 3*n - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111*l**2 + 17*l**2 - 89*l**2)*(0*l**2 + 7*l**2 + 0*l**2) in the form t*l**3 + a*l + g*l**4 + i + j*l**2 and give g.\nAnswer: -1281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 176172 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -17*z**2 - 319*z + 73. Determine j(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 246.7537 + -3.7537. Do u and -25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 81. Let p be -2 + (-246)\/q + -2 + 1. Which is smaller: p or 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -99, -32, -5, 2, -12 in decreasing order.\nAnswer: 2, 1, -5, -12, -32, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 36, 65, 102, 147, 200?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-7))\/(((-1)\/2)\/((-70)\/20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(84))\/(-3*sqrt(192)).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, -4, -1\/25, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 10:56 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -55093 <= -55093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-748)\/8)\/(-17) - 5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -48*u**3. Suppose -72*q + 23*q = -196. Let o(g) = -6*g**3. Give q*b(c) - 33*o(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -15. Let d(g) = -9*g - 2. Let z be d(-1). Let s(h) = h**2 - 3*h + 2. Let x be s(z). What is the highest common divisor of x and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1939, -2\/5, -3\/4, -0.3, 1?\nAnswer: 1939","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 + 3. Let d be r(7). Suppose d*m + 4 = m. Let h(i) = 2*i**2 + 3*i. Let u be h(m). Solve n + 0*n = u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 978, 3974, 8926, 15798, 24554, 35158?\nAnswer: 47574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from hezzhupzuuuueuheueh.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 11:25 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 217183398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -1693, -3976, -7181, -11314?\nAnswer: -16381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 + 3*m + 2. Let j be a(-1). Let l be 11\/22 + j\/2. Solve i = -l*h + 7, h + 3*i + 14 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 615*z - 617*z + 8 = 0, -61*g + 66*g = -3*z - z + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5039, 10079, 15119, 20159?\n\"Answer: 5040*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7144 + 9313. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0, 2\/9, -0.3, -44, 0.8, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3140 = -25*s + n, -116*s + 650 = -111*s + 2*n. What is the remainder when s is divided by (35\/2)\/(2\/4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-177.\nAnswer: -1947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = m + 7, 11*m = 5*q + 7*m - 15. Let f be (-10 - (-426)\/42)\/(-2 + 1). Is f equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -7391.\nAnswer: 7388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 j when four letters picked without replacement from agjagggagggaaaggga?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193037 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**3\/12 + 3*p**2 + 154. Suppose f(r) = 0. Calculate r.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1700) - -5*(sqrt(1700) - (-1 + sqrt(1700))**2 - sqrt(1700))).\nAnswer: -8508 + 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22831 is divided by 113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 t when four letters picked without replacement from iitttiitiitiitit.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -18*y - 0*y. Let d be 12\/6 - (6\/y)\/1. Sort -2\/9, 2, 3, d.\nAnswer: -2\/9, d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, 4234, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q + 5 = -y, 3*q - 2 = 4*y. Which is the nearest to -0.1? (a) y (b) -8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 5*d**2 - 25*d + 43. What is x(3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591192, -1182382, -1773572?\nAnswer: -2364762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 27. Let r be f(-15). Let i be (1\/(-3)*4 + 0)*r. Suppose 2*y + 528 = i*d - d, -5*y = 15. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.2 in -62, 3\/2, -2, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + 8)\/((-2)\/(-130)). Suppose -a = -4*m - 1. What is the remainder when m is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + ((-75)\/(-60))\/(1929\/684 + -3)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, -0.3, -0.06, -0.022, 13, 0.4, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*h + 2 + 2, p = -3*h - 4. Put p, 0, -2 in descending order.\nAnswer: 0, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -17. Let q(j) = -2*j**2 - 2*j + 1. Determine q(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 2*j + 2*j)*((6 - 4 + 0)*(2 - 2 - 2*j) + 35*j + 99 - 99) to the form n*j**2 + z*j + g and give n.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 79?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 945*u + 37908.\nAnswer: -3*(u - 351)*(u + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032011 + 221302?\nAnswer: -210103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - 4. Let o be g(-2). Suppose 2*f + 77 - 13 = 4*d, -d - f = -o. What is the greatest common divisor of d and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-18) + (-3 + 8 - 2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (381\/(-4))\/((-1)\/36). Suppose n = -2*c - n + 1718, 4*c - y = 3*n. What are the prime factors of c?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 105*i - 87*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169609 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p + 133*p**3 - 2 + 0 - 189*p**3. Let f(v) = 168*v**3 + 2*v**2 + 9*v + 7. Let y(d) = -2*f(d) - 7*r(d). Find the third derivative of y(s) wrt s.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(605) - ((sqrt(605) + 1 - sqrt(605)) + -5)) + (sqrt(5) - ((sqrt(300)\/sqrt(5) - sqrt(60))\/sqrt(12) - sqrt(5)))*1))**2.\nAnswer: 1664*sqrt(5) + 13776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 327 = 135. Suppose 1139 = -0*q + 18*q + 887. Calculate the greatest common divisor of a and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u - 19 = -3*r, 18 = -2*r - 5*u. Let f(w) = -5*w + 0 + 3*w - r - 2. Calculate f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/7)\/(-5)*6\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - i. Suppose -5*h = -d + 2, 5*h + 3*d + 25 = 11. Let z(q) = 8*q**2 - 12*q. Calculate h*z(x) + 12*o(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347462473.\nAnswer: 7, 59, 79, 41299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -21567*d. Let q(a) = -33*a. What is q(c(i))?\nAnswer: 711711*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -462 divided by -2.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 18*t**3 + 3*t**2 + 53*t - 372. Calculate x(4).\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + -0.99. Let q = 3.86 + 0.14. What is the nearest to z in 0.03, 1\/3, q?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63654066 divided by -21218022\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 998 - 998. Let i(r) = r**2 + 12*r. Calculate i(w(c)).\nAnswer: c**4 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 448499771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 38*h + 95. Let r(g) = -114*g - 286. Let c(i) = -10*k(i) - 3*r(i). List the prime factors of c(-7).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 9*c - 10*c - 5, 3*b + 2*c = -10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 532099003\/117 - 4548121. Let r = h - -3138\/13. Which is smaller: r or -24?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383, 402, 421, 440?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -49, 158, 107?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 4315388.\nAnswer: 8630776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70874*u**4 + 4316*u.\nAnswer: -850488*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 35*f**3 + f**2 + 3*f. Suppose -31*o + 36*o - 10 = 0. What is the hundreds digit of w(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 4:31 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*j = -87, 5*j + 21 = x - 8. Which is smaller: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 6*o - 144 = o - 143, 3*c = 5*o - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-194)\/22 - ((-6)\/2 - 1855\/(-583)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -7*d**4\/12 - 10*d**3\/3 + 3*d**2 + 1181*d. What is m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/23 + 10*h**4\/23 - 8*h**3\/23 = 0. What is h?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 13) + (-435)\/135 + 11.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(9) + -2*sqrt(9)))\/(-1*sqrt(8))*-1.\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, g: 3, q: 1, f: 5}. What is prob of sequence rg?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5355, -0.1, 10\/9, 2 in increasing order.\nAnswer: -0.1, 10\/9, 2, 5355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6580 - -6606. Solve -h + 31*j + 7 = c*j, -j = -4*h + 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414000 rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24819 + -1092089\/44. Let k = f + 5\/11. Which is the nearest to 1? (a) 3 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let y(k) be the second derivative of -k**3\/6 + 572*k. What is y(v(w))?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 7*k**2 - 21*k + 7. Let r(n) = n**3 + 3*n**2 - 10*n + 3. What is 3*c(s) - 7*r(s)?\nAnswer: -s**3 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(24\/(-18))*(-4)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2112.9636 months?\nAnswer: 176.0803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112249746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 33*b = -180. What is the smallest common multiple of b and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*h - 9, 12*z - 8*z + 24 = -5*h. Let c(t) = -11*t - 5. Calculate the lowest common multiple of 13 and c(h).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a**3 + 3*a**3 - 39*a**3 + 15*a**3.\nAnswer: -93*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/3, 5, 3, 78 in ascending order.\nAnswer: -1\/3, 2\/5, 3, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 476 - 235 - 236 - 2*d in the form j*d + f*d**3 + k*d**2 + i and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22417 - -47427. Is o a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + n + 179 = 8*x, 2*n = x - 82. Let d = -88 + x. Solve 5*z + 2 = d*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 1 = -v + 4, -4*u - 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h - 3, 0 = -4*g + 3*h + 137. Suppose -s + 46 = 5*k, 5*k - s - g = -4*s. Let i = 15 - 5. Solve 0 = -5*q - k - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1314 + 10722 = 12*b. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**0)\/k*k*k\/(k\/((k**5\/k*k)\/k))*k\/(k\/k**0)*k*k\/(k\/k**(-1\/3)) assuming k is positive.\nAnswer: k**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38473323 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 9:01 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 202795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Let h be a\/((4\/2)\/(-1)). Let p(l) be the second derivative of l**3\/6 + 3*l**2\/2 + 3*l. Give p(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 = -17. Let p = -38 - -40. Suppose -v - 8 = 5*k - p*k, 19 = 2*v - k. Solve -v*o + 8 = -i*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) -122 (c) -0.3 (d) 0.4 (e) 7\/12 (f) 4\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z**(-1)*(z**1)**48)**22 assuming z is positive.\nAnswer: z**1078","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -487, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 0.4 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (292*d + 11*d**3 + 270*d - 577*d + 5)*(-5*d + 2*d + 2*d) + (-d + 0*d + 2*d)*(-2*d**3 + d**3 + 3*d**3).\nAnswer: -9*d**4 + 15*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*c = -23*c + 336. Solve 0*t - c*t - 29 = r, 5*r - 5*t = 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 13 - 3 - 2*a - 22.\nAnswer: -2*a - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7772 and 2948?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (14 + -33 + 10) - 46.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a hour in seconds?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*t**2 + 71*t**2 - 135*t**2 - 15660315*t + 15660315*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.162 * -23.9.\nAnswer: -3.8718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 38. Solve n*z - 8 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j**3 - 34*j**2 + 202*j - 60. Let p be w(-62). What is p rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 24*d - 156. Determine x(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-one quarters of a minute?\nAnswer: 765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 1:11 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h**(-5)\/h*h)\/h)\/h)\/h**(1\/4))**(36\/7)\/((h*h*(h**(-1\/4)*h)\/h*h*h)**(1\/8)*(h*h**0)**(7\/2)) assuming h is positive.\nAnswer: h**(-991\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 - 1*(-16 - -5). Let n(t) be the third derivative of -1\/75*t**6 + 1\/75*t**5 + 0*t + 0 - 3*t**2 + j*t**3 + 2\/525*t**7 + 0*t**4. Solve n(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950a4 (base 12) in base 15?\nAnswer: 3cd5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30.799 times 103.3\nAnswer: -3181.5367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - h. Let m(n) = -30*n**2 + 6*n + 2. Let s(l) = m(l) + 6*z(l). Let t(d) = d. What is s(t(o))?\nAnswer: -24*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6532, 6519, 6494, 6457, 6408, 6347, 6274?\n\"Answer: -6*r**2 + 5*r + 6533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28283865 and -6.\nAnswer: 28283859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 5*q + 3. Let w(l) = l**2 - 4*l - 2. Let n(f) = 2*p(f) + 3*w(f). Calculate the remainder when 69 is divided by n(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 208?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -1\/3*p**3 - 11 + 3*p - 1\/2*p**2. Determine b(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -573295 divided by 5?\nAnswer: -114659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 1. Let a(s) = s**2 + 4*s - 6. Let v(l) = a(l) + 5*d(l). Determine v(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-13))\/(27*(-70)\/2835)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5 - 2*d - 4 - d + 5. Let y(v) = -v + 1. Calculate -o(p) + 2*y(p).\nAnswer: p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auu when three letters picked without replacement from {a: 1, u: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 8*y**2 + 2*y + 8. Let c be b(-6). Calculate the greatest common divisor of 34 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46 - -96?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308 - 15612*a + 308.\nAnswer: -15612*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**4 - 6*k**2 - 6. Suppose s + 0*s = 1. Let c(d) = d**4 - 1. Let p(y) = s*m(y) - 6*c(y). Find the third derivative of p(j) wrt j.\nAnswer: -240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7*z - 52 = -3*z, 34 = 3*f - z. Let b(c) = 5*c**3 + 3*c**2 - 4*c + 1. What is the remainder when b(2) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191432*q*t**3*x - 3*q*t**3 - 2*q*t**2 + 6132*q*t*x - 24*q - 5 wrt t?\nAnswer: 1148592*q*t*x - 18*q*t - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4742.63 > 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 + 16*z**2 - 17*z - 5. Calculate g(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500, 1868, 4084, 7130, 10988, 15640, 21068?\nAnswer: 27254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 25582*v. Let l(i) = -i. Calculate l(b(g)).\nAnswer: -25582*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1428 and 5\/454614.\nAnswer: 6364596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.46 and 0.8723?\nAnswer: -2.145858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14221040 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*i + 27. Solve 0 = -j - 2*c + i + 5, 0 = 3*j + 4*c - 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - 0) + (49 - 50) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let k = -62 + 106. Suppose -4*j + 46 = 3*f - 3*j, 0 = -y*f + 2*j + k. What is the greatest common factor of 68 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4401 a factor of 1878232374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/3 (b) 13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - b - 1. Let y be a(-2). Suppose 0 = -y*r + 10. Let w(m) = -m - 1. Let l be w(4). Sort l, r, 3.\nAnswer: l, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10053393 - 2567\nAnswer: -10055960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67553\/29532 + 148\/69. What is the common denominator of t and -33\/140?\nAnswer: 14980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + -26)\/(2\/(-14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00219679 to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*u + 8, 4*u = -6*f + 4*f + 4. Let v be 100\/f*(-6)\/15. Solve -d = 3*d - v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10712*x - 10765*x = -21359*x - 13806 for x.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -405 + 407. Calculate the least common multiple of 1284 and q.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*9\/54*30*22\/25575?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1310571 = -64666. Let s = p + 579904. Let y = -770723 + s. Round y to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 629202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1321312 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 108587 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1539536112 and 576.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 + 95.999919. Round w to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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 h be -3 + 48\/15 + (-9)\/(-5). Suppose -m + 3 + h = 0. Let w = -9 - -9. Solve m*l - 8 = c + 17, w = -l + 5*c + 29 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 7*s**2 + 4*s + 5*s**2 + 13*s.\nAnswer: -2*s**2 + 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 - 30679\/(-24101). Let j = -8882 - -2780070\/313. Let k = j + x. Find the common denominator of -11\/24 and k.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*v + 3. Solve 3*w + 13 = -v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**4\/4 - y**3\/3 - 3. What is the third derivative of a(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 15. Let g be v(0). Is g > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 197*l + 349. Give r(101).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h + z - 65, h + z - 9 = 0. Suppose -2*d + 29 = 3*j, -2*j + j = 5. Suppose -3 = -a + d. What is the remainder when a is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:57 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 1. Suppose 2*i - 13 - 4 = 3*u, 0 = 2*i - 4*u - 20. Let t(q) = -3*q + 1. Let x(w) = i*t(w) + 5*z(w). Let p = -2 + 4. Give x(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 531 - -518. Does 77 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12\/29 (b) 2.9 (c) 0.3 (d) 147 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4142)\/(-19))\/(2 + 0\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 368 - 364. Let f(p) = -15*p + 49. Let h be f(v). Let g(q) = 16*q**3 + 21*q - 11. Let d(x) = 3*x**3 + 4*x - 2. What is h*d(t) + 2*g(t)?\nAnswer: -t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/7)*r)**41)**(-2\/15)*((r**3)**(-1\/2))**(-6\/13) assuming r is positive.\nAnswer: r**(-16111\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 22. Suppose 7*u = -6*u + 1 + 324. Calculate v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**5 - x**5 + x**5)*((-2 + 5 - 2)*(-1 + 3 - 3) + 3 + 1 - 6 - 14 + 16 - 14 + 1 + 2 - 4).\nAnswer: 32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 6:52 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/((-2)\/(-12)). Let i(j) = g + 1 + 9 + j - 3. Calculate i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*q**3*z + 1048*f**3*q*z + 1297134*f**2*q**3*z - 84*q**2*z wrt q.\nAnswer: 6*f**3*z + 7782804*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75933, -303900, -683847, -1215774, -1899681, -2735568, -3723435?\n\"Answer: -75990*x**2 + 3*x + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 - 9 - 139 = 70*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*25\/10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j*j**3\/j)\/j)**(-1\/8)*j**(-2\/49)\/(j\/(j\/(j*j*j\/(j\/((j*j\/(j**(-2\/21)\/j))\/j))*j))*j))**2)**32 assuming j is positive.\nAnswer: j**(-62432\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 322*a**3*h**3 - 51*a**3*h**2 - 194665*a*h**3 - 112*h**2 - 3330*h wrt h?\nAnswer: 1932*a**3 - 1167990*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 637 = 89*f + 8*f. Suppose -2*i = 2*i - 40. What is the lowest common multiple of f and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*49\/42*((-17550)\/175)\/18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 754073 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 15*f**2 - 14*f + 16. Let p be h(-16). Let x be ((-135)\/6 - -3)*p. Suppose x - 64 = -4*m. Round m to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -f, 2*y + 143*f - 147*f = 7894. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from zooozzzj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4 times -0.24?\nAnswer: -1.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3015989\/41 or -73561?\nAnswer: -73561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 33. Calculate b(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-44) - 21165\/(-2849). Let m = -25\/37 + i. Is 8 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -11, 3, -20, -3 in descending order.\nAnswer: 3, -3, -10, -11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.3338 millennia in centuries?\nAnswer: 5383.338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674 - 3673 = -4*i + q, -5*q + 755 = i. Calculate the highest common factor of 36 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, q: 1, y: 1, e: 1}. Give prob of picking 1 e and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8480.2843 plus -0.5?\nAnswer: 8479.7843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d - 22 = 0. Let i = -9 - d. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t + 7 - 1 - 2 + 0*t. Let m be d(3). Suppose 8*i = -13 - 27. Sort 5, i, 3, m in ascending order.\nAnswer: m, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 37. Is g greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 32, 42, 36, 8?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) -1\/4 (c) 1 (d) 7 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 + -274?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 207450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 328*y**2 - 6724*y.\nAnswer: -4*y*(y + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893941 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 487*m + 1. Let j(k) = -k**2 + k + 1. What is b(n) - j(n)?\nAnswer: 2*n**2 - 488*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/(-6) + -3)*-3. Put b, 2, -1 in increasing order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(0*j**2 + 0*j**2 + j**4) + 4*j**4 + 2*j**4 - 4*j**4 + 2*j**4 - 317*j**2 + 691*j**2 - 290*j**2.\nAnswer: 3*j**4 + 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 236*m + 10634. Calculate r(-61).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2 (c) -5 (d) 161 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 10*n - 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 849058.\nAnswer: 1\/424529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.015\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 24, 2, -1, -298 in decreasing order.\nAnswer: 35, 24, 2, -1, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + 20 + 3 + -12 + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5 + 176*r**4 + 75*r**3 - 34008*r + 3.\nAnswer: -20*r**3 + 2112*r**2 + 450*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 4*w**2 - 10*w. Let t be d(6). Suppose t*u - 33408 + 2316 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**3 - t**2 - 11*t - 106. Let w be m(-6). Let r = 790 - w. Is r > -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 503477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*a + s, -25*a + 26*a + 2*s = -22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 1, n: 1, w: 1, i: 1}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7578 - -12943. What is the common denominator of (-2)\/7 + (g\/252)\/5 and -55\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010110210221 - -122?\nAnswer: -10010110210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/14 - 2\/7. Suppose -x*s = -2*c - 1 - 10, -5*s - c + 27 = 0. Suppose k = -3*k - p + 76, -s*p = -5*k + 95. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-12 + 13))\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - u**2 - 4*u + (-2 + 2 - u)*(3 + u - 3) - u**2 + 0*u**2 + 0*u**2 - 22*u**2 + 83*u**2 + 6*u**2.\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3 - 711*m**2 + 135432*m - 3158028 = 0. Calculate m.\nAnswer: 27, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6957 - 6955. Solve 0 = -2*m + c*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*w - 18, 1 - 15 = -2*s - 2*w. What is the first derivative of 18*y + 5 - s - 23 wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 6*a - 7. Let i be y(-5). Let j = i + 2. Let o = 117 + -1519\/13. What is the nearest to 0 in j, 4, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mocchgoq. Give prob of sequence cmc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 86.3. Which is the closest to -2? (a) 9 (b) -3\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -5, 5, -4.16, -0.0789 in increasing order.\nAnswer: -5, -4.16, -4, -2, -0.0789, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysj when three letters picked without replacement from vgdysdj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*f - 0*r - 14, -2*r - 6 = 0. Let y(b) be the third derivative of b**4\/12 + 3*b**2. Let t be y(f). Solve 4*l + t = 2*q + 2, 0 = -3*q + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225690236.\nAnswer: 2, 283, 199373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/117 or 0?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*a + 4, f - 48 = 43*a - 59*a for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**6\/150 + a**5\/25 - 8*a**3\/15 - 8*a**2\/5 + 4*a - 9. Factor z(b).\nAnswer: (b - 2)*(b + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-13 + 7)) + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.2, 4, -0.4, -1, 0.9722 in descending order.\nAnswer: 4, 0.9722, 0.2, -0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 134316 less than or equal to 134335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 - 79.95. Let d = -36 - -26. Let a = d + t. Sort a, 2\/7, 0.3 in increasing order.\nAnswer: a, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -27. What is the nearest to 0 in 1, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1680*o - 10 + 3*o**2 + 4 + 1660*o + 6.\nAnswer: 3*o**2 - 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 7*i - 108 - 28, -44 = 4*y - 6*y - 2*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -100*t**2 - 325*t + 325. Let o(j) = 2*j**2 + 6*j - 6. Let m(h) = 325*o(h) + 6*x(h). Let l(c) = 7*c**2. Give m(l(g)).\nAnswer: 2450*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -485\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15624.996963 + -15625. What is y rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 3. Let l(v) = 6*v**2 - 10. Let y(x) = 10*k(x) - 3*l(x). Suppose 5*c = -0*c + 30. Let b(i) = c*i - 5*i + 4*i. Calculate y(b(j)).\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -6 + (9 - -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -473.0219 rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184390*n**2 + 301959*n wrt n?\nAnswer: 368780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(-2)\/(-20))\/(((-12)\/(-4))\/(-15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197*(-5)\/175 - -4 and -31\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/120 + 2*t**5\/15 + 2*t**3\/3 - t**2. Let p = 24 - 16. What are the prime factors of r(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 f when four letters picked without replacement from xuxirfqfqxq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 + 29*s**2 + 44*s + 213. What is the remainder when 554 is divided by z(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/3511?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/15 - 12\/(-90)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5.6. Let b = 1 + 0. Which is bigger: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.229 bigger than -1966\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -738051 + -56.73.\nAnswer: -738107.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 14*d**2 + 14*d + 2. Let w(m) = m**3 + m**2 - 1. Let k(o) = -s(o) + 5*w(o). Is k(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**3 + 2*c**2 - 11*c. What is the least common multiple of g(3) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1008)*1*-2 - (sqrt(1008)*-1 + 2 + (sqrt(1008) - (-1 + sqrt(1008))) + 5 + sqrt(1008)))**2.\nAnswer: 144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*q - 48*q - 190*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/20)\/(3\/(-72)*-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3))**(-2\/43)*y**(2\/77)\/((y*y\/y**(-1\/11))\/y) assuming y is positive.\nAnswer: y**(-3064\/3311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**4 - 638632*r**3 + r**2 - 1408674 with respect to r.\nAnswer: 4*r**3 - 1915896*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 7 - 3 = -4*u, 0 = -3*u - 4*j - 8. Let f be (12 - 9) + (3 - 2). Solve 5*w + i - 23 = -3*i, f*w - 4 = u*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*a - 9, 138*q - 4*a + 8 = 140*q. Solve -3*m + 2*k = 22, -q*m + 2*k + 2 = 4*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 17*m**2 - 18*m + 4. Let h be f(-18). Differentiate 16231 - 16288 - t**3 + t**3 + 12*t**h wrt t.\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5*i, 3*i - 7*i = -4*b + 24. Let o be (12 + 0)*(-4)\/(-12). Suppose -h - o*h = -10. What is the lowest common multiple of b and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(72) + -4 - 5*(sqrt(72) + 2) - ((sqrt(72) - sqrt(72)*2*1) + 5 + -1))**2.\nAnswer: 720*sqrt(2) + 1048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w - 251 - 6*w + 247)*(0 + 5 - 3).\nAnswer: 8*w - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(0*w + 0*w - 3*w**2) - 3 + 3 + 2*w**2 + (2 - 3*w - 2)*(-4*w + 4*w - 2*w) - w**2 + 2*w**2 + 0*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*3\/6*10. Let v = 5 + -8. Let j = -184174.9 - -184175. Which is the third smallest value? (a) j (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -1\/3 (c) 32\/7 (d) 0.5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 949 - 627. What is the remainder when j is divided by 101?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4997 is divided by 357.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*t = -14 - 14, 5*t + 20 = 0. Let i be (-6 + 0 - -2)*(-3)\/j. Let d(y) = 3*y**3 + y**2 - y + 2. Determine d(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*m = 0, -3 = y + 3*m - 0. Let z = -39 - -33. Let k be 3*(-2 - (3 + z)). Sort k, y, 1 in descending order.\nAnswer: k, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 - 9*j**3 + 22*j**3 + j**2 + (-j**2 + 0*j**2 + 3*j**2)*(-1 - j + 1) - 4*j**3 + 3*j**3 + 0*j**3 + 14 - 14 + j**3.\nAnswer: 11*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156 (base 9) to base 15.\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17465\/28 - (3\/4 + -1). Suppose 6*h + 7*h - c = 0. Calculate the highest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1338521*a - 1338521*a - 285*a**3.\nAnswer: -285*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802303578 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 = 2*n, 8*z = 3*z - 3*n - 6. Suppose 0*h + 2*h - 18 = z. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14867306221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 102130?\nAnswer: -102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 10 - 209*y**2 + 207*y**2 - 901*y**3 + 18.\nAnswer: -901*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 28 = -0*j - 5*j, -2*j - 2*i - 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 - 116?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -1\/11083, -1\/4, -0.06 in descending order.\nAnswer: -1\/11083, -0.06, -1\/4, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = c - 2*r, -4*c + 77 = r + 22. Calculate the remainder when 162 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 766\/17 + -3033\/68. What is the common denominator of x and -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -7*z + 55. What is the remainder when 19 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3 (c) -2.6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 12 + (0 - (3 + 6)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/7? (a) -1 (b) 7 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*d - 736 + 1192 = 0. Let k be 19\/4 - 15\/20. Solve -d*s + a + 1 = -1, 0 = -4*s + k*a + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 647*v**2 + 4303*v + 4284. Calculate b(-330).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4461, 8920, 13379, 17838, 22297?\n\"Answer: 4459*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 6:15 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1376\/28 - ((-4)\/2)\/(-14). Is -10 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4 + t - t - 2*t. Let a be 1\/((-11)\/(-4) + -3). What are the prime factors of h(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.432?\nAnswer: -1.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22742 is divided by 56.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 b when four letters picked without replacement from jbbbybjjbjjjjjbjyjbj.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 0*r**2 - 2*r**2 + (0*r - 2*r + 3*r)*(3*r + 3*r - 5*r) + 29519 - 29521 - 150*r**2 + 188*r - 187*r.\nAnswer: -150*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14, 1\/35, -1\/5, -6\/7, -23?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -8 (c) -0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-188)\/(-423) + (-2)\/4. What is the third smallest value in 9, -3, m?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1\/2*125\/125.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1676 is divided by 113.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**7\/420 + 47*o**6\/60 - 2209*o**5\/30 - 102*o**2 - 3*o - 3. Factor k(m).\nAnswer: -m**2*(m - 94)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8*h - 15 = 5*h, 2*h - 9 = -o. Which is the second smallest value? (a) o (b) -57 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*w - 475 = -2735 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60730112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/8 and -5\/31739192?\nAnswer: 31739192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259033890*x**4 + 3*x**2 - 4*x - 976169 wrt x.\nAnswer: 6216813360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2013 - -2141. Is n at least 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -132031.\nAnswer: -5\/132031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*a**3 + 1457*a**3 - 536*a**3 - 371*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 746086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 - 121 - (13 + -8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 - 126*j**2 - 227*j - 129. What is the thousands digit of n(45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = y + 27, -2*y = 5*w - 4*y - 36. Let d be (12\/(-9))\/((-2)\/12). Solve m - 18 = 5*a, 3*a - 3*m - w = -d*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**2\/2 + p + 2. Let q = 7 - 0. Let h be g(q). Solve 2*s - h = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 + 32*w - 8. Let q(t) = -t**2 + 4*t - 1. Let m(n) = -p(n) + 8*q(n). Let x(i) = -37*i**2 + 1. Determine m(x(s)).\nAnswer: -5476*s**4 + 296*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/30 + (-15)\/((-150)\/25598) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -71\nAnswer: -5\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -2*s**2 + 0*s - 1\/30*s**5 + 1\/24*s**4 + 0 + 1\/120*s**6 + 0*s**3. Suppose o(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0, 19, -7, 1933 in descending order.\nAnswer: 1933, 19, 4, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 188299 + 258191 = 149*p. Is p a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1110 and -52\/3?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*18487\nAnswer: -1848.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -2441?\nAnswer: -2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(4)*-3 + sqrt(180)*-1)\/(sqrt(4) + sqrt(4) + sqrt(32)\/sqrt(2) - (sqrt(4) + (sqrt(36) - sqrt(4))*-1))*-6)**2*6.\nAnswer: 7776\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 7:48 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 149126474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 54 - 23*u)*(-3 - 2 + 1)*(3 - 3*u - 3).\nAnswer: -276*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + h. Calculate the lowest common multiple of v(1) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 14 + 0 + (12 - 15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 - 3*a + 6. Let p be q(6). Let i = 294 + p. Let o be (-8)\/(-6)*9\/i. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5573660 to the nearest integer?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9 - -5) + 4)\/2. Suppose a + f - 379 = k, -3*a + 1141 = -3*f + 4*f. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2442854206 from -5.4.\nAnswer: -2442854211.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 138 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/15 (b) -18.5 (c) 2 (d) 0 (e) -177 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 12:12 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 6*w - 6. Suppose 1 = o - n - 2, -5*o + 4*n + 13 = 0. Let g(a) = -a + 1. What is o*z(d) + 6*g(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 52 (b) -0.7 (c) 0.2 (d) -1.6 (e) 5 (f) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1762*k**3*t + 61*k**3*y - k**2*t + 81*k**2*y + k*t*y - 2*t*y - y wrt t?\nAnswer: 1762*k**3 - k**2 + k*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 78 = -r, -1991*r + 1986*r = -2*d - 15 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5791096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37 and -53199712287.\nAnswer: -53199712250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(2 + 1) + 3. Let c be 18\/s*160\/6. Suppose 2*l + c = 6*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2512 (base 6) to base 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/14 + 2 + 43\/7. Let q = -39 - -18. Is 17 a factor of t\/56 - (1422\/q)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7218 and 384858.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) 4 (c) -0.3 (d) 930 (e) 0.1 (f) -0.1 (g) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12124837*v**2 - 45*v + 1523971.\nAnswer: 24249674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - (5 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v*v)\/v)**(-20)*((v**(-2\/7)\/v)\/v*v)**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/3)*a*a\/a**(1\/4))\/((a**(-6\/5)*a*a)\/((a*a**(-4\/7)\/a)\/a)) assuming a is positive.\nAnswer: a**(299\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17886)\/542*4\/(-66).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3009 and 0.3?\nAnswer: 3008.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (9\/18)\/(3819\/(-114))\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7717, 7694, 7643, 7540, 7361, 7082, 6679, 6128?\nAnswer: 5405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/160 and -95\/22?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10716 and 2256?\nAnswer: 42864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x + 154. What is k(-24)?\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 14*p**2 + 5*p - 185. What is the units digit of h(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3960310 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/10 and (-281)\/(-60) + 2\/(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.179, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1947, -3908, -5883, -7878, -9899?\nAnswer: -11952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4223014 + -5?\nAnswer: 4223005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2129 minus -0.4?\nAnswer: -2128.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -6. Let r = -3 - o. Solve -5*w + r = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1 = -4*q + 2, 0 = -4*q - 4*t + 28. Let d(p) = 5*p - q*p - 6*p. Give d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from ooyzsozzryrooz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 13*n**2 - 12*n + 5. Let j = 91 + -79. Let b be w(j). Suppose s = -b*g + 119, -3*s + 6*s - 5*g - 457 = 0. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20370637258 - 4*w - 20370637258.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i - 3 = 0. Let j = -9 - 0. Let p be 1\/3 + 6\/j. Which is smaller: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 - -114.68. Let d = 47.92 + f. Let n = -45 + d. Put 0, n, 1\/8 in ascending order.\nAnswer: n, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 - -162. Suppose -4*o - 166 = 2*w - 4*w, m = 3*w - 3*o. Calculate the remainder when w is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/42 - 584\/66 - (-2)\/11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**2 - 2*i**2 + i**2)*(3*i + 5 - 5)*(12 - 5 + 7) as h*i**3 + v + t*i + l*i**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1274494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/1649 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -57912 times -0.2\nAnswer: 11582.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 2762637?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -311 - -310.983. Which is smaller: 15 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) -0.04 (c) -5072\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1302*w - 8. Let r be (-42)\/11 + 4\/(-22). Let g be y(r). Round g to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 8*g - 9*g + 5*g.\nAnswer: 2*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2063674, -4127877, -6192080, -8256283, -10320486?\n\"Answer: -2064203*g + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**3\/2 - 9*i**2\/2 - 2*i. Let m(q) = -2*q + 5. Determine 5*m(g) + 3*w(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76253037 and 1909999?\nAnswer: 991289481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**6*h**2 + 127*g**6 - 447*g**2*h**2 wrt g.\nAnswer: -480*g**3*h**2 + 15240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 6*t - 3. Let m be r(5). Let x(k) = 5*k - m*k - 4*k. Let h(q) = -q**2. Give h(x(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-10))\/(((-2)\/(-50))\/((-128)\/(-320)))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8726680 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 divided by 1?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 20. Suppose 0 = -w*r - r + 3. Solve 0 = 2*b + b - r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390352592 is divided by 607.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, -0.07, -0.1, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l - 283 = 151. Solve 0 = -5*s - 3*p - l, 11 - 3 = 4*s - 4*p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 7 = -5*q + 1, 2*l = 4*q for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4291663.31 - 375554168.69. Let q = -379845765.9999937 - g. Let z = q - 66. What is z rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**3 - 38541*g**2 - 849354*g = 0?\nAnswer: -22, 0, 12869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 13319731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 k when three letters picked without replacement from {k: 2, d: 10}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -451 + -29?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Let u = -0.09 + 5.09. What is the third biggest value in z, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 12*n**2 + 29*n + 22. Let s be o(-14). Let b be (-3)\/(s - (-52)\/(-8)). Put 8, -11, -3, b in ascending order.\nAnswer: -11, -3, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21435137783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d**2 + 3354*d + 41108. Determine z(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -168*t + 56232. Suppose -o - 3*w + 35 = 0, -2*w = 5*o + 3*w - 205. What is the greatest common divisor of o and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -801*r**2 + 2704*r - 12. Let l(u) = 1604*u**2 - 5410*u + 27. Let p(t) = -9*f(t) - 4*l(t). Find the second derivative of p(w) wrt w.\nAnswer: 1586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6.672, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 226083?\nAnswer: 452166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 20, 26, 36, 56, 92, 150?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*x + 12, -5*f + 25 = 4*x - 1. Let o be 0 + f*37\/2. What is h in 63*h - 31*h + 5*h**3 + 10 - o*h - 10*h**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19520 - 10283. What are the prime factors of y?\nAnswer: 3, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 13. Calculate the greatest common factor of 143 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 30*v**3 + 44*v. Let y(h) = 31*h**3 + 44*h. Let f(r) = 6*b(r) - 4*y(r). What is the second derivative of f(s) wrt s?\nAnswer: 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**2\/2 + 3. Let k(u) = -u**2. Give d(k(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 2:31 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/132*-12 + 102\/(-440).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-120))\/(4\/60*-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4345*g**3*y**2 + 1641*g**3 + 38*g**2*y**2 - g*y**2 + 258777*g*y + 2*g wrt g.\nAnswer: -26070*y**2 + 9846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(13)*-1 + sqrt(130)\/(sqrt(30)\/sqrt(3)) + sqrt(13).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1148\/328)\/((777\/(-592))\/((-87)\/2))?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -8, -0.1, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**3 - 14*j**2 + 2*j. Let g(m) = 4*m**3 + 14*m**2 - 2*m. What is -2*g(s) - 3*p(s)?\nAnswer: s**3 + 14*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -10*k - 250. Let m(x) = -x**2 - x + 19. Let b be m(k). Solve 5*a + b + 2 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = x - 4*x. Let p be 2\/(-9) - (-76)\/18. Suppose 16 = 5*w - p*n, -n - 9 = -2*w - 2*n. Calculate the highest common divisor of x and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b67a96 + -7a?\nAnswer: -b67b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4382 + -4379. Let o(y) = -4*y + 3*y - 5*y. Determine o(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3. Let c = 2807\/191936 - -3\/2999. Is l >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*l + 77*l - 159*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*t - 10, 0*k = -2*k - 4. Let d = -24802 - -24802. Solve t = -3*u + y - 6, -5*u - y - 10 = -d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 14 = -26. Let u be 0*-1*d\/12. Suppose 2*m = 5*s + 12, 2*s = -2*s + 5*m - 13. Which is bigger: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, k: 1, c: 7}. What is prob of picking 3 c?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122 - -124. Let t(k) = 2*k - k + 0*k + o - 2. Let s(w) = -w**2 + 85*w. Give s(t(j)).\nAnswer: -j**2 + 85*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 167845085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4 - 7 - 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**3 + 124*i + 2862. Let m(r) = 5*r**3 - 82*r - 1908. Let n(j) = -5*g(j) - 8*m(j). Differentiate n(c) wrt c.\nAnswer: -15*c**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163.35109 + 0.10574.\nAnswer: -163.24535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523676 is divided by 13767?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22268?\nAnswer: 2, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(2) + -2 + sqrt(8)\/sqrt(4))*-6 - (2 + sqrt(128)))*2)**2.\nAnswer: -14400*sqrt(2) + 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-49)\/7*1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 4*x - 1 + 2*x. Let v(s) = -5. What is -5*r(c) + v(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 37988, 6 in ascending order.\nAnswer: 6, 13, 37988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3\/2 (c) -17\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000285 rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 - y**2 - 3*y. Calculate the remainder when n(-3) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {y: 1, p: 5, c: 5, a: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.28 + 4.28. What is the third smallest value in w, -2\/33, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982702645 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - j**3 - 3*j**2 + j. Let g(n) = -n**3 - 23*n**2 - 23*n - 26. Let s be g(-22). Let f(a) = -6*a**3 + 4*a. Calculate s*q(i) + f(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3, 0*h + 5*h + 2*p + 478 = 0. Let q be h\/483 - 8\/(-28). Let v(u) = u + 3. Let x be v(-4). Is q at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*t + 532*t - 1615*t + 250*t + 243*t - 2.\nAnswer: -309*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -199\nAnswer: 40\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-11)\/121)\/((-226)\/76 + 3) and 12\/(-66)*253\/44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 8*l - 9. Let w be v(-5). Let m be (3*1)\/1*-1. Let j = m + w. Solve -3*z + j = -12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 != -134\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:46 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c + 8 = 46*c + k, 4*c + 4*k - 32 = 0. Solve c = -m - 5*j - 17 + 49, 0 = -4*j + 28 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5989 is divided by 116.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110100010 (base 2) to base 9.\nAnswer: -2611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 49 - (48 + 7)) + 8 + -2?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12129 divided by 1\nAnswer: -12129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + 1*sqrt(1872) - (sqrt(1872) - (-2*sqrt(1872) + 2))))**2.\nAnswer: -1344*sqrt(13) + 30148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.42? (a) -15 (b) 0.2 (c) 3 (d) -199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81930 by -13655.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9)*((-48)\/18 - -3).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1546209 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5\/2 + 215*m**4 + 878*m**3 - 10239*m**2 + 6615*m\/2 = 0. What is m?\nAnswer: -9, 0, 1\/3, 5, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l - l + (-1 + 1 - 2*l)*(-1 - 2 + 2 + (0 + 0 - 3)*(-108 + 208 - 114)).\nAnswer: -83*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/23 and 3.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 5*p**2 + 3*p - 12. Let c be k(5). Suppose -2*f + 6*f - 30 = 3*t, -24 = -5*f - c*t. Calculate the smallest common multiple of f and 146.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*t**2 + 29 - 2*t - 138*t**2 + 4*t - 65 + 2*t**3 as r*t**2 + i + j*t + g*t**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 5:32 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566989344.\nAnswer: 2, 3, 229, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1381 + -1377. Let d(y) be the first derivative of 0*y - 3\/2*y**i - 1\/3*y**3 + 11 + 0*y**2. What is the third derivative of d(m) wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65.36701 millilitres?\nAnswer: 0.06536701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*i - 150 = -5*i, -4 = 2*i. Let b = -30 - v. Solve 8 = -z + 2*s, 5*z = -b*s + 5 + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 2125530*i**2 - 225876883845*i - 3614574297680.\nAnswer: -5*(i - 212561)**2*(i + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19756191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11 - 31*u + 15 + 14. What is the hundreds digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 518942 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 621487, 4, 1?\nAnswer: 621487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 - 9. Let b(v) = -2*v**2 - 221. Calculate z(b(o)).\nAnswer: -16*o**4 - 3536*o**2 - 195373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1478, -5946, -13412, -23876, -37338, -53798?\n\"Answer: -1499*o**2 + 29*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1677 and 1419.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2535631150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.90396 to two dps.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -80.769*-41\nAnswer: 3311.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -174 + 874\/5. What is the fourth smallest value in w, -11, -0.1, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 40362550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*q + 66 = 289*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 13*g**2 - 14*g + 1. Let t be w(12). Let d = 37 - t. Let o be 6 + (-3 + 3 + -5 - (-17)\/(-51)). Is d equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/(2\/(-12)). Let x(n) = -n**2 + 2*n**2 + 0*n**i. Let s(z) = -8*z**2. Give s(x(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 7 - 2. What is the derivative of -x + 4 - 3*a + 0 wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355542 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 25. Let q be x(10). Solve -q*h + 1 = 2*o - 18, 0 = -3*h + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21453 + 29.8.\nAnswer: 21482.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-1 + -6 - -6). Suppose -x*o = 596 - 1648. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3848*s**3 + 34*s - 60?\nAnswer: -23088*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36926788061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*f - 2*f + 4*b, -2*b = -2*f - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 18 = -m. Suppose -110*c + 100*c + 270 = 0. Calculate the smallest common multiple of m and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, 0.0685, 0.4 in descending order.\nAnswer: 0.4, 0.0685, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-11)*(((y*y\/y**(2\/21))\/y)\/y)\/y assuming y is positive.\nAnswer: y**(-233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 210, 360, 462, 516, 522, 480?\n\"Answer: -24*y**2 + 222*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 20*x**2 - 62*x + 15. Is u(26) 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 5086108469?\nAnswer: 13, 391239113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -6, -7, -5, 4, -2, 80 in ascending order.\nAnswer: -11, -7, -6, -5, -2, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -9) + (99 + -31 + -12 - -16).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-36) - 0 - (-7)\/(-42)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/27)\/(18\/(-162))*8\/(-36).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.44685 millimeters to kilometers.\nAnswer: 0.00001844685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**6\/120 + 139*w**3\/3 - 2*w**2. Let j be a(0). Suppose 3*r + 202 = 4*y - 79, 4*y - 2*r - j = 0. Is 34 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*d - 8. Let j = -2 - d. Let o(v) = -v**3 + 3*v**2 + 2*v - 2. What are the prime factors of o(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6208 + -6203. Solve -5*o - 15 - 25 = -3*g, v*o + 2*g = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 977, 2207, 3929, 6143, 8849, 12047?\nAnswer: 15737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 455 - 36 = 28*f + 1461 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.136, 1, 221, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (-9)\/(45\/(-10)) + -3. Suppose 5*w - z*l - 762 = 0, -3*w - l + 120 + 326 = 0. What is the highest common factor of w and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asaasasaaasasaaaaa. What is prob of sequence ssss?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1357750, 5431038, 12219858, 21724210, 33944094, 48879510, 66530458?\n\"Answer: 1357766*m**2 - 10*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/3, -0.00013, 0.01?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271440037 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-2)*(-49)\/(-245)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13578 - -84?\nAnswer: -134a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v - 186. Determine b(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 22\/8 - (60\/(-24) + 4). Which is the nearest to 0.2? (a) 0.02 (b) j (c) 3\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, a: 1, p: 4}. What is prob of picking 2 p and 1 h?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 1 - 3. Suppose -i*n + 36 = 4*n. Factor -6 - n + 4*r**2 + 4 + 4*r.\nAnswer: 4*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 5) to base 6.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 588*b**2*u**3 + 6*b*n**2 + 2*n**2*u**2 + 2550*n*u - 2*u**3 wrt b?\nAnswer: 1176*b*u**3 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13098408.\nAnswer: 2, 3, 23, 61, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t - 1. Let y be i(-1). Let f be -26*(-2 - 6\/(-4)). Let x = f + y. Solve s - x*s = 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 14*m**2 + 4*m - 25. Let n be d(-15). Calculate the greatest common divisor of 40 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/4 and 5\/326.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63.012 - -63.1. Which is greater: r or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(6\/7)*n\/n**6*n*n**4\/n*n*(n**3\/n)\/n*(n**0)**(-1\/11)*(n**(-1\/2))**(2\/5) assuming n is positive.\nAnswer: n**(128\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -122\/7?\nAnswer: -122\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/10 (b) -6 (c) 0.02 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 12*c - 23. Let k be z(-3). What are the prime factors of 2310\/k - (-5)\/10?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677*b - 24 = -681*b. Let r be (2\/(-6))\/((-2)\/18). Let g = r - b. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -333755 or -1668772\/5?\nAnswer: -333755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1493 + -1023. Suppose -10*m - v = -0*m. Let c = -39 - m. What is the highest common divisor of c and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.371us to minutes.\nAnswer: 0.00000037285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2248*n - 2272*n + 259*n.\nAnswer: 235*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*-2*(2 + (-1*sqrt(363) + sqrt(363))*5 - ((sqrt(363) + 0)*2 + 5)))**2.\nAnswer: 18480*sqrt(3) + 210313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/((-3388)\/30)*56\/(-20).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 508\/161 + -66\/23. Factor 6\/7*r**2 + l*r**3 + 6\/7*r + 2\/7.\nAnswer: 2*(r + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -166605, -9.\nAnswer: -166605, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2.1. Suppose -235*b + 15956 - 211 = 0. Are b and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-136)\/84 - -2)*(-15)\/10. Put 1\/4, i, 6, -2\/65 in decreasing order.\nAnswer: 6, 1\/4, -2\/65, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n + 1. Let c(f) = -7*f. Let t(h) = -5*c(h) - 4*l(h). Let z(s) = s**2. Determine t(z(q)).\nAnswer: 3*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Suppose 5*x = 18 - 3. Let u(o) = -o - x*o**2 + o + 9*o**2. Give u(l(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -8. Let u(w) = 29*w**2 + 1. Let l be u(v). Calculate the remainder when 23 is divided by (-12)\/l - (-42)\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -1.3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344296.\nAnswer: 2, 43037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165743 = 2406*u - 26195 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -8064303?\nAnswer: 8064301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.8 - 31. Let i = -1749.3 + 1749. Sort i, 3\/7, h in decreasing order.\nAnswer: 3\/7, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-132))\/((-9)\/396)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10, 4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 48.0457 millilitres?\nAnswer: 0.0480457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1560 and 130.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, n: 4, u: 2}. Give prob of sequence inun.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 73*r**2 - 3094*r + 405. Calculate n(103).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 + 17*x - 21*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**3 - 6*o**2 + 4*o - 12. What is the tens digit of f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 - 1448*k = 0. Calculate k.\nAnswer: -362, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 15 = 2*o. Let d = o - 33. Calculate the greatest common factor of d and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34209744 a multiple of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6993493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/15)\/((4\/3)\/(-4)). Find the third derivative of 4 - 4*v**3 + 5*v**3 + 964*v**2 - 979*v**2 + m*v**4 wrt v.\nAnswer: 48*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 0*r**2 - 51*r**3 - 80*r**3.\nAnswer: -131*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llln when four letters picked without replacement from llllllllllnn?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117*(-220)\/398970 - (-246)\/31?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -84*k**2 - 8*k - 11. What is f(-2)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 357 - 3197. What is h rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 17 + 12)*(-67*s**2 + 407*s - 407*s + (0*s + 3*s - 2*s)*(-7*s + 3*s + 2*s) - 3*s**2 - 3*s**2 + 7*s**2).\nAnswer: -1428*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21941 - 9012. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116208 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -213 + 5?\nAnswer: -20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 46*g + 498. What is the smallest common multiple of n(16) and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 483980.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.52, -23\/8, 4, 30.8?\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d + 72. Let i = 43 + d. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/((-1029)\/(-42) + -19). Which is the fifth smallest value? (a) -395 (b) 1 (c) g (d) -4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.26, -1.1, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 f, 1 c, and 1 r when four letters picked without replacement from {c: 5, t: 1, i: 1, r: 6, f: 2, w: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**(1\/6))**(-2\/65)\/(h**(-4)*h)**28)**(1\/7) assuming h is positive.\nAnswer: h**(16363\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -61 (b) 2\/15 (c) 35.6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -483296 + 1020721121\/2112. Find the common denominator of q and 29\/20.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2170 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1317*d**2 - 2641*d**2 + 1320*d**2. Let a(y) = y + 0*y + y. What is a(k(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-105)\/20 - -4)*(-1 + -3). Suppose 6*h = 7*h. Let p = g - h. Solve p*k + 18 = -4*b, 4*k = k + 3*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 16, 6?\n\"Answer: -10*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390*j + 124507955 = 325*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 19*c**2 - 19*c - 27. Suppose -96*m + 200 = -86*m. Give v(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -6 - (-4)\/6) + 1. Let z = 2 + 0. Let l(p) = -p - 1. Let d be l(-5). What is the nearest to a in d, z, 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2703*x - 2709*x + 37096 = -4*h, 3*x - 18580 = -2*h. What is the least common multiple of x and 51?\nAnswer: 18564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450 and 30.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1\/((m*m*m**3*m)\/m)*(m**(-1\/4)\/m)**(-4\/15) assuming m is positive.\nAnswer: m**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*g - 17 = 3*w, 5*g - 22 = w. Let j = 98 + -94. Solve -j*b = c + 4, -1 = -w*c + b - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5434 + -5342. Calculate the remainder when 378 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1877*n**2 - 8101589 + 8101589.\nAnswer: 1877*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*16\/((-768)\/(-216))*133\/(-63).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836264 and 139750?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g. Suppose o - 2*o + 18 = g. Let m = 29 - o. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 743 + -772. Is -29 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*c - 18 - 26 + 44 + 60*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*h**3 + 4*h + 0*h + 2*h**2 - 4*h**2.\nAnswer: -76*h**3 - 2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 143*j**3 - 77*j**2 - 77*j - 77. Let c(w) = 11*w**3 - 6*w**2 - 6*w - 6. What is 77*c(m) - 6*n(m)?\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/23 + 26\/69. Let j(m) be the second derivative of -k*m**3 + 2*m + 1\/6*m**4 + 0*m**2 + 0. Let j(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(48)\/sqrt(3))\/sqrt(8).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -817 + 1655*p - 815 + 1632 to o*p + x and give o.\nAnswer: 1655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 10*v + 1. What is l(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -16, -60, -413 in decreasing order.\nAnswer: 5, 0, -16, -60, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**3 - 3*y**3 + 4*y**3 + (-2 - 1 + 1)*(-3 + 3 - 2*y**3) in the form l*y + h + i*y**3 + r*y**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 303\/(-8) + -2. Let c be 2 + -3 - 220\/(-5). Let j = c + h. Calculate the common denominator of 41\/5 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15722951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237 by -87873.\nAnswer: -79\/29291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.00048 times -0.3?\nAnswer: -5.100144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - -31?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11226616 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3058 - 3053. Put -2, 9\/2, g, 1 in descending order.\nAnswer: g, 9\/2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 5:34 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**3 + 4*q**3 + q**2 - 13580*q - 31 + 13571*q - 14*q**3 as i*q + y*q**3 + r + m*q**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*j**2 - 4*j**2 + 2)*(-11561 + 11561 - 142*j) to the form v + p*j + r*j**2 + c*j**3 and give p.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(-63) - (-542)\/6. Let d = 166 - h. Let v = 89 - d. What is the remainder when 103 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22540 (base 7) to base 11.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3593*i**3*j**2*m**2 - 2*i**3*m**2 + i**3 - i**2*j**2*m**2 + 2*i**2*m**2 - 3*i*j*m**2 - 496*m**2 wrt j.\nAnswer: -7186*i**3*m**2 - 2*i**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 12*d**2 + 10*d. Let n be r(11). Let j be -2*(3 - n\/(-2)). Suppose 5*m - 20 - j = 0. What is the third biggest value in 0.1, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ghwfwwwwh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/45 - 1\/(-2). What is the closest to -6 in 2, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 + 5*v - 5*v)*(2*v + 2*v - 3*v) - 2*v**3 - v**3 - 6*v**3 + (-v + 2*v**3 + v)*(-2 + 2 - 1) to o*v**2 + x*v**3 + a*v + c and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -153700 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899, -938, -937, -842, -599?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -1 + 63\/(-14)*-60. What are the prime factors of o + (40\/(-24))\/(1\/3)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.6912708 + 2030194\nAnswer: 2030190.3087292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 2, p: 11, h: 1}. Give prob of sequence ppn.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 15551 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**4\/6 + n**3 + 5*n**2\/2 - n. Let a(o) = -o - 1. What is -4*a(h) - y(h)?\nAnswer: -2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3280.246l in millilitres?\nAnswer: 3280246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7638425864 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**2*z**3 + 2*x**2*z + 13*x**2 + 71678*x*z**2 + 2677*x*z + z**4 - 1 wrt z?\nAnswer: -6*x**2*z + 143356*x + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:18 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = d + 7, 2*d = -s - s - 2. Let q be 3*d + (5 - 6). Suppose 3*r - 231 = -5*o + 2*o, -r - q*o = -75. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 4*h**2 + h - 9. Let d be k(3). Solve s = 3*s - 5*c + 5, 4*s - 3*c + d = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74073809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -k + 21. Suppose -k*g + 1 = -2*g, -5*g - 1 = -2*d. Solve 3*o - 3 = q, -q = -d*o + o + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 6, 3*c + 69*j + 286 = 36*j - 92*j for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71401 is divided by 387.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1670 and 47.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*f - 4, -5*f + 2*d + 2 = -0*d. Suppose f = 2*u - 41 - 43. What is the units digit of (1 + 0)*u\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.021, -5, -8109 in descending order.\nAnswer: 0.021, -5, -8109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -8 = -1039536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14270847, -14270838, -14270829, -14270820?\n\"Answer: 9*x - 14270856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 924249 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605455933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/221 + 30\/221. Put n, -30, 1, -0.3, -5 in increasing order.\nAnswer: -30, -5, -0.3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10108 (b) 1 (c) 3\/4 (d) -1\/4 (e) -133\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -256\/3 in 0, 3, -1\/2, 1\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 33830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s\/(s*s**(-6))))\/s)*s\/s**5*s)**(11\/2)*(s**(-1\/2))**(-6\/5)\/(s**(-1\/3)\/s*s*s)**(-7) assuming s is positive.\nAnswer: s**(409\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*s**5\/3 - 1796*s**4 - 12200*s**3 + 59920*s**2\/3 + 26208*s - 4224 = 0. What is s?\nAnswer: -22, -12, -1, 6\/41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71734447*p - 273449685?\nAnswer: 71734447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 243221 + 453947. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2892828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 186*q + 71. Let m(x) = -x**2 - x - 9. Calculate 8*m(s) + o(s).\nAnswer: -5*s**2 - 194*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -10. Let t = 49 + -197\/4. What is the smallest value in t, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5416 = 189*c - 47*c - 7404 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggngggg. What is prob of picking 3 g?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118970565*c + 127295460 wrt c?\nAnswer: -118970565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.0036 - 0.0036. Let b = -221 - -1103\/5. Which is bigger: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28776 and 1320?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*r + 2 - 64*r**3 + 2*r - 1 - 4 wrt r?\nAnswer: -384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216869.4 rounded to the nearest one thousand?\nAnswer: 217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1\/13, -4, -1\/35, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*d**2 + 3*d + 0*d - 5*d - 146*d**2.\nAnswer: -264*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/768 and -51\/640.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1927263 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2353544 divided by 1\nAnswer: 2353544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 77824 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/15*-27 - 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2963.0975 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 1. Let j be d(-1). Let o = j + 0. Suppose -5*m + 5*z + 15 = 0, 518 = -8*m - z + 497. Put m, o, -4 in descending order.\nAnswer: o, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4083*d - 2034*d - 2048*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 7, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16363146 and 6.\nAnswer: -98178876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1627303 or -6?\nAnswer: -2\/1627303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20974?\nAnswer: 2, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 443 = 2*h, -5*h - 2*p = 2*p + 1091. Let b = -28 + 58. Let a = b - h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -3)\/((-1)\/(-34))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1 - s**2 + 1 + 1 - 4*s + 2*s**2. Determine l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7784 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v - 2. Suppose 3 = 2*b - 4*w - 15, b + 3*w = -v. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*a - 43271 = -42467 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -1, 3, -0.02, -6 in descending order.\nAnswer: 40, 3, -0.02, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqjqquwqu. Give prob of sequence wq.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7449 and 54080.\nAnswer: 30987840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -784*v + 9. Let j be f(6). Let w = j - -9865\/2. Let x = -257 + w. Find the common denominator of -85\/22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/120)\/(7\/(-56))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 11 + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o. Let j(n) = 21*n - 21*n - 3*n**2. What is x(j(u))?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 20*w - 5. Calculate h(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, o: 3, k: 4, p: 2, b: 3}. What is prob of picking 2 o, 1 z, and 1 k?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39.17853l?\nAnswer: 39178.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15845430 to the nearest 10000.\nAnswer: 15850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 11*p + 5*p + 10*p - 24*p. Let j(u) = -6*u**2. What is j(m(h))?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/r**1*r**(-4\/5)\/(r*r**6\/r))\/((r\/(r*r\/r**13*r)*r)\/(r\/((r**(3\/5)\/r)\/r)*r))**(-42) assuming r is positive.\nAnswer: r**353","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and -167.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.028 (b) -0.799444 (c) 4\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - 19 - -96 - 43.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 19 = 3*q + 2*q, -o + 3310 = -7*q + 3291 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*i*i)**11 assuming i is positive.\nAnswer: i**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + a - 12. Let o be b(-13). Determine k so that o*k**4 + 60*k**3 - 285*k**5 - 9*k**2 + 3*k - 6*k + 93*k**5 = 0.\nAnswer: -1\/4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**4 - 691750*o**3 - 2*o**2 + 223*o - 4133.\nAnswer: -48*o - 4150500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/7, -3, 0.4 in descending order.\nAnswer: 4, 0.4, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:12 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2. Let u(n) = -337304741*n**2. What is u(j(k))?\nAnswer: -337304741*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*(1 + sqrt(13)) + 5)**2 + 5) - ((sqrt(117) - sqrt(117)*-1*4)\/sqrt(9) - (0 + sqrt(52)\/sqrt(4)*3)).\nAnswer: -2*sqrt(13) + 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -965*u**4\/4 + u**2\/2 + 175*u - 1200. Find the second derivative of k(d) wrt d.\nAnswer: -5790*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00118075718 to five decimal places.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 4*a**2 + a + 1. Let q(o) = -2*o**2 + 3*o - 1. Let g be (-12)\/(-5) + (-4)\/10. Let i be q(g). What are the prime factors of t(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15179, 15205, 15231?\nAnswer: 15257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 309 by -1.\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**2 + 13*f + 5. Let d(w) = -8*w**2 + 13*w + 6. Let m(k) = -6*d(k) + 7*r(k). Let z(o) = 7*o**2 + o + 1. Let p be z(-1). Does 17 divide m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 44312628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12898800 rounded to the nearest 10000?\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 2*o**2 + 47. Let t(u) = -11*u**2. Calculate t(c(f)).\nAnswer: -176*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g - 9781 - 9750. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 9*u**2 + 8*u - 6. Let t be v(8). Let b be ((-2)\/(-10))\/(-3 - 21\/t). Factor 2\/5*f - 2\/5*f**3 + 2\/5*f**2 - b.\nAnswer: -2*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2340 (base 8) to base 13.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.6. Suppose 3*l - 15 = 3*y - 0, -y - 3*l + 15 = 0. Suppose 0*p + p + 2*x + 3 = y, 0 = -x - 1. Sort -5, p, q.\nAnswer: -5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*b - 16 = 0, 8*l - 6*l + 3*b + 4 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 8, 1\/7, -10.3, 240, -2\/11?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82117368 and 123176052.\nAnswer: 246352104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -20, 1250, -5 in descending order.\nAnswer: 1250, 21, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 5*c - c**4 + c**3 + 2 + 14*c - 5*c as k + i*c**4 + b*c**2 + f*c**3 + d*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -371 and -1851\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31367, -125452, -282269, -501824, -784123, -1129172, -1536977?\n\"Answer: -g**3 - 31360*g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 9. Let g = -3 - -4. Which is the second smallest value? (a) w (b) -9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973713 to the power of 1\/2, to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1057 or 1?\nAnswer: -1\/1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 204 - -40.686.\nAnswer: 244.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.36183 millimeters to nanometers.\nAnswer: 35361830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**21*n*(n**(-13\/5)\/n)\/n)\/(n**1)**(-1\/66))**(-29) assuming n is positive.\nAnswer: n**(-185803\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 40*h**2 - 82*h + 86. Let b be q(-42). What is the third smallest value in b, -2\/7, 64\/83?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggil when four letters picked without replacement from ixgmgflx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 7*l**2 + l - 1. Let s be b(4). Is 18 a factor of (-6 + s\/(-12))*-48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 687\/62, 0.1, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -54. Put f, 0.2, 1.4, -4 in ascending order.\nAnswer: f, -4, 0.2, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 157*g - 2. Let r(x) = 78*x - 1. Let p(f) = -13*r(f) + 6*u(f). Is p(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -12. Let v(y) = -y**3 - 7*y**2 + 8*y + 3. Let h be v(-8). Suppose x = h*l - l. What is the remainder when 7 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.420048 to 1 dp.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.3649km in nanometers?\nAnswer: 722364900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2071 - -2068. Let m(q) = q. Let t be m(0). Suppose l - 6*s = -2*s + 5, 5*l - 3*s + 9 = t. Which is the nearest to l? (a) p (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104023 + -4?\nAnswer: -104032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27 - 19?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -4 + 3 - (2 - 53) and -4 - (16\/2 + -24 + 16 - 11)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 10*h. Let y(u) = -19*u - 8*u + 6*u**2 + 27*u. Give y(a(t)).\nAnswer: 6*t**4 - 120*t**3 + 600*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 6\/5*5\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**3 + 2*x**2 - x. Let z(s) = s**3 - 13*s**2 - s + 17. Let r be z(13). Suppose 4*q + 0*q + 8 = 0, 0 = -3*y - r*q - 5. Give a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3130 + -12141031?\nAnswer: -12132401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1664 and 166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84946 from 1.8.\nAnswer: 84947.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*i - 113*i**2 - 151*i + 22*i + 11*i wrt i.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50390 and 80?\nAnswer: 403120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(720) + sqrt(720)) - (1 + sqrt(720) + 1).\nAnswer: -120*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8030643 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 9)*(-9 + 2 - 6)*(0*b + b + 0*b)*(-b**2 + b**2 + 4*b**4 + (3 + 1 - 3)*(0*b**4 - 6*b**4 + b**4) - b**4 + 0 + 0).\nAnswer: -260*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 255*c + 24. Let r be w(1). Suppose 4*a + 71 = 195. What is the highest common factor of a and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/4 - -18 - 2. Does 20 divide -4 + 5\/(t\/261)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197 - 193. Solve -t = -4*d - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 2*l - 2. Determine a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 - (1 - 7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j - 249. Is 8 a factor of t(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + 2 + 12 + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 8*x**2 - 20*x + 53. Let p be j(6). Put -5, p, -2, -1 in descending order.\nAnswer: p, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -12, 8, 5, -10, 143?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12008, 25025, 38042, 51059, 64076?\n\"Answer: 13017*c - 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 6:34 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 7130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -243207 (base 8) to base 15\nAnswer: -19b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) -0.079 (c) 2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from {h: 2, g: 6, v: 10}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/6401 (b) 0.4 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, -59, -127, -217, -335, -487, -679?\n\"Answer: -t**3 - 2*t**2 - 39*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 5*n**3 - 5*n**3)*(-2 + 1 + 6 + (4 + 1 - 1)*(4 - 1 - 4)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 36*x**2 - 54*x + 95. Is i(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/7? (a) -8 (b) 3 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/15 - 2*q**2. Let f = 5 - 3. Let w(a) = -4*a**f - 3*a**2 + 8*a**2. Give w(k(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (214\/6)\/((117\/(-216))\/(-13))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 3*i + (-i + i + i)*(1 - 5 + 3))*(0 + 3 - 2)*(2032*i**3 - 234*i**4 - 2032*i**3).\nAnswer: -234*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/111)\/((2*-1)\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -2715?\nAnswer: -4\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r - 4*r)*(-1 + 3 - 1)*(-r**2 + 4*r - 4*r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42311786?\nAnswer: 2, 11, 1923263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 4 - (1 + 1))\/1. Is h at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1*-2)*58\/319?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - (-160)\/15 - (-2 - 2). Let q(d) = d**2 + d - 5. Let i be q(-4). Is i bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 9218, 0, 0.2.\nAnswer: -0.4, 0, 0.2, 9218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-15)\/36*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v - 16. Let z(j) = j + 3. Let a(m) = -m**2 - 5*m - 3. Let o be a(-2). Calculate o*n(p) + 16*z(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 7*m + 12 = 0. Let l = -12 + m. Let w be 3140\/(-8) - (l - 2\/(-4)). What is w rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + -1. Let k = 24.5 - 24. What is the nearest to -1\/2 in 0, k, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1309*t - 1122. Let b(a) = -4*a - 2. Determine 561*b(r) - u(r).\nAnswer: -3553*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4003*f**4 - 61*f**2 + 2*f + 8. Let k(a) = -4007*a**4 + 60*a**2 - 3*a - 8. Let j(g) = -2*k(g) - 3*u(g). What is the third derivative of j(h) wrt h?\nAnswer: -95880*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -2, -3 in decreasing order.\nAnswer: 54, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81320512237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 28*y**2 - 30*y - 1. Let i be d(-27). Let f = i - 130. What is the third smallest value in 0.5, f, -1\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/78 and 103\/84916524?\nAnswer: 1103914812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 7:06 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1242*a**4 + 7*a**2 + 4. Let t(o) = 2478*o**4 + 13*o**2 + 9. Let r(w) = -7*q(w) + 3*t(w). What is the third derivative of r(u) wrt u?\nAnswer: -30240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -910 + 909.9. Let g = 275 - 2471\/9. Which is the closest to -0.7? (a) -0.2 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 246 + 66. Suppose 3*t + b = 5*t. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -31*j**2. Let f(p) = -38*p**2 - 30*p**2 - 33*p**2 + 100*p**2. Determine f(t(z)).\nAnswer: -961*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-899.8804.\nAnswer: -899.8804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l**2 + l**3)*(-2199*l**2 + 705*l**2 + 808*l**2 - l**2 + 2*l**2 - 4*l**2 + (-l - l + l)*(4*l + 0*l - 3*l) + 3*l**2 - 4*l**2 + 3*l**2).\nAnswer: -688*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 8. Let v(g) = 4*g + 5. Let p(h) = -5*d(h) - 8*v(h). Let f(z) = -62*z**2. Give p(f(y)).\nAnswer: 124*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + m**2 - 6. Let s be w(0). Let x(u) = u**2 + 5*u - 4. Let d be x(s). Suppose -k - d*p = -221, 0 = 8*k - 4*k + 3*p - 859. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.3354 nanometers?\nAnswer: 0.0000043354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2016*c**3*n - 3*c**2*n**2 + 1466*c*n**2 - c + 2*n**2 wrt c.\nAnswer: 12096*c*n - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*x - 684 - 34*x**2 - 33*x**2 + 65*x**2 = 0.\nAnswer: -38, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -14*o - 75 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1589501857?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -656, -1316, -2416, -3962, -5960, -8416, -11336?\n\"Answer: -x**3 - 214*x**2 - 11*x - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*u**4 - 300*u**3 + 15*u**2 + 35*u + 2?\nAnswer: -264*u - 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 4*a - 1. Suppose -3*n + 5*r - 3 = 2, 24 = -4*n - 2*r. Let p be (-22 - -2)*(-4)\/(-10). Let o = p - n. What is c(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -665 + 9*x**3 + 328 + 376 wrt x?\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -159*t**2. Let i(z) = -535*z. Give f(i(l)).\nAnswer: -45509775*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37\/6, -1\/2, -392.9?\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1059*c + 1607400 = 528*c + 569*c. Is c a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/3))\/(k\/((k*k\/(k*k*k**(2\/9)))\/k)))**(-15\/8)*((k**(1\/5)*k)\/(k\/(k\/k**(-2\/5))))\/(k\/(k*k**(-1\/3))*k)**(-43) assuming k is positive.\nAnswer: k**(2499\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-306) + 756\/(-3825).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 229 + -251. Let y be z\/(-18) + 20\/(-90) - -1. Solve -q = y, q = 2*o + 4*q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3143, -3, 2\/7, 0.1, -2\/97, 1\/2?\nAnswer: 3143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1662604?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 107. Let p = 76 - j. Let k = p - -11. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 6*y**2 + 6*y - 9. Let h be n(-7). Let o = 3\/10 + -7\/15. What is the nearest to -0.1 in 2, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - n + 1. Let r(i) = -5*i**2 + 2*i - 8. Let q(w) = -6*m(w) - r(w). Let t be q(4). Suppose -t*l - l - 79 = -4*o, -3*o = 5*l - 23. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, e: 4}. Give prob of picking 2 e and 1 f.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.489 + 0.069. Let m = d - -0.32. What is the closest to m in -0.5, -5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 65*t**2 + 168*t + 660*t - 35*t**2.\nAnswer: -100*t**2 + 828*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 1032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 5791 = 555. What is the remainder when r is divided by 114?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*d**2 - 65*d**2 - 46*d**2 + (-3*d + d + 0*d)*(0*d + 3*d - d).\nAnswer: -160*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*u + 44, -471*p - 421*p + 7 + 8 = -5*u - 887*p for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 213 = -81 + 42. Solve 3*r - q + 24 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 18 + 24. Suppose 3*t = -0*t + j. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 8. Let l be c(11). Suppose -118 = -4*t + 2*u, -l*u = -t - 4*t + 149. Suppose -t = -2*w - 0. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*j + 40*j + 3*v - 3 = 0, -29*j - 91 = 2*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516575 divided by -6925?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:36 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3749.\nAnswer: 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162386, 162375, 162364, 162353?\nAnswer: 162342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 10. Let t(f) = -16*f + 11. Let r(m) = -24*m + 16. Let s(z) = a*t(z) + 5*r(z). What is the first derivative of s(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 846 + -632. Do a and 204 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29711000477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abwa when four letters picked without replacement from {b: 7, w: 3, a: 2, t: 3}?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3338 - -19973\/6. Find the common denominator of x and 39\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -4*h - 928. Let v = -46 - h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, -4, -5, -798, -6 in descending order.\nAnswer: 7, -2, -4, -5, -6, -798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 25437 to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1094 is divided by 287?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 19*y = 103*c - 47, -102 = -3*y - 2*y + 4*y - 27 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 0*w**2 + 3*w**2 + 0*w**2 - 5*w**2. Let g(q) be the second derivative of -q**4\/12 + 6*q. Give i(g(a)).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -72*t**2. Let a(p) be the second derivative of -p**4\/4 - 144*p + 4. Calculate a(n(g)).\nAnswer: -15552*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22494 less than or equal to 22493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h**2 - 49*h. Let y(w) = -14*w**2 + 98*w. Let t(r) = 5*p(r) + 2*y(r). What is the second derivative of t(n) wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-16 + 18)) + 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 139764338754 and 2.74?\nAnswer: 139764338751.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -5, 6, 5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -1703?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5 + 4336*i**4 + 917051*i**3 - 3409338*i**2 + 2493748*i + 1243976 = 0. Calculate i.\nAnswer: -1187, -262, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -871618*p. Let b(r) = -2*r**2. Determine b(y(f)).\nAnswer: -1519435875848*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - -3.03. Let y = -0.03 - -0.43. Let o = 0.2 - y. Sort o, p, 4 in decreasing order.\nAnswer: 4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -6\/11, 0.1, -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6432 = -4*q + 5386, 3*q - 14*y = 8755. List the prime factors of q.\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 17. Let d be c(11). Solve 16 - 1 = -d*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 87, 120, 153, 186, 219?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27992.012651 + -27992. Round u to 4 dps.\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1259 - -5.2893. Round n to 2 decimal places.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8887, -12316, -15743, -19168?\n\"Answer: i**2 - 3432*i - 5456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -69779, -4, -3, 1 in increasing order.\nAnswer: -69779, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -33213 divided by 9?\nAnswer: -11071\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/4, -433, -16, -74, -1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1960 + 140*n + 5\/2*n**2 = 0. What is n?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23475786 to 3 decimal places.\nAnswer: 0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1127640493 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 2*n - 60. Suppose -n*f - 23 + 38 = 0. Find the third derivative of -7*g**4 + 32*g**2 + 5*g**3 - 30*g**2 - 5*g**f wrt g.\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 511.5009.\nAnswer: 512.5009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 - 6*u**2 + 3*u**3 + 3*u**2. Suppose 6*g = 2*g + 4. Let k(q) = q**3 - q**2. Calculate g*b(w) - 3*k(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**4 - 4303644*i**3 + 53885951*i**2.\nAnswer: 72*i - 25821864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0*a + 86*a**3 + 64*a**3 - 2*a - 14*a**3 in the form r*a**2 + q*a**3 + f + h*a and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1089)\/(-330))\/(-11)*4\/6 + (-221)\/(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(34)\/sqrt(2))**2 + 6*((sqrt(85)\/sqrt(5) - sqrt(17)) + sqrt(17)).\nAnswer: -17 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from torctcctcc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82297.8 centuries in decades?\nAnswer: 822978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.540222 to 2 decimal places.\nAnswer: 4.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 821 = -2*w, -17*w + 14*w + 12 = 0. Let m = 275 - s. Solve 0 = -7*j + m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j - 2023 = 24*j. Suppose 1103 = 2*b + j. What are the prime factors of b?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -40. Which is the closest to h? (a) 0.2 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2\/9, -6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -218420.1 rounded to the nearest one hundred?\nAnswer: -218400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + (22 - -14).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcu when three letters picked without replacement from {c: 3, u: 2, w: 7}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 963.1 + 493.9. Which is the closest to 0? (a) y (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 256 = 2*m - 0*m, 3*m - 5*g - 380 = 0. List the prime factors of m.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 10*g**2 + 12*g + 13. Let r be n(-11). Suppose 2*d - 155 + 24 = 5*z, 0 = r*z + 10. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5560 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*x + 84, 0 = 4*y + 110*x - 105*x - 81. Suppose -3*i + 36 = -0*i. Calculate the least common multiple of y and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 2*q - 2. Let p be r(3). Let m = 3 + p. Solve -4*i = -0*i + m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 49. Calculate v(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7118170*f**2 + 2994*f + 178.\nAnswer: -14236340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zddpdupppzppzzz. Give prob of picking 1 z, 2 p, and 1 d.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149 + -334. Let w = z - -928\/5. Sort w, 0.1, -4, 2.\nAnswer: -4, 0.1, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8 + u - 7 + 6 as g*u + x and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*k + 27, 23*k - 42*k + 3*g = -14*k + 29 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*p + 19, -4*p + 4 = -5*p - k. Let n be (4\/2)\/(2\/2). Suppose 0 = -2*r - 1 + 17. Put p, n, r in descending order.\nAnswer: r, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -43*m + 52. Let d(h) = 5*h - 1. What is 5*d(g) + y(g)?\nAnswer: -18*g + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 5. Let n be (-6)\/27 + ((-1428)\/(-108) - 18). Is n bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27895256*d**3 - 26283039*d wrt d.\nAnswer: -167371536*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 130 = -34. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 11. What is the lowest common multiple of z and 104\/78 - (-46)\/6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15869, 16669, 17445, 18185, 18877, 19509?\nAnswer: 20069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3003 - 3002.9999997244. Round h to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7071169946 to the nearest integer?\nAnswer: 1919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-546)*-80*6\/36*(-21)\/(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 578.179754 to the nearest 10.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1.4. Let x = 66 - 125. Let p = x - -54. Put o, -1\/3, p in descending order.\nAnswer: o, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + v + 2)*(-3*v**2 + 5*v**2 - 8*v**2 + (3*v + 2*v - 4*v)*(-3*v + v + 0*v)) to p*v**2 + i*v + c*v**3 + o and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 5:31 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 5. Let z be r(-8). Suppose 3*j - 11 = -3*p + 4*j, 8 = 2*j. What is the remainder when 11 is divided by p - 2*z\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (-2 - (-2)\/2). Suppose 3*h - 13 = -5*s, -a*s = -0*s + 4*h - 9. Solve -14 - 1 = -s*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 369, 965, 1811?\n\"Answer: 125*w**2 - 29*w - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-6)*216\/(-450))\/(6\/(-50))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -5, -19, 11.4, 574?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**14*c)*c**(-3\/13)\/c*(c**(2\/7)\/c)**(3\/2) assuming c is positive.\nAnswer: c**(-3149\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177501227 and 664.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3 = b - 3*f, 15 = 4*b - 3*f. Let s be (-15)\/(-6) + b\/4. What is the third derivative of -7*n**4 + n**2 - 3*n**2 + 10*n**s + 5*n**2 wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -8.1. Let d = -4\/2145 - -241\/1430. Sort b, d, -1\/5 in descending order.\nAnswer: b, d, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 62276*f\/3 - 194096.\nAnswer: 4*(f + 5199)*(3*f - 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, and 1 c when three letters picked without replacement from {o: 1, c: 1, w: 1, v: 2, q: 2, k: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91969907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 8*n + 8. Let w be g(-9). Let d(j) = -j**2 + j + 1. Let c(y) = -115*y**2 + 6*y + 5. Let m(r) = w*c(r) + 6*d(r). Does 33 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2070 - 2069.9989674. Round q to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771008709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*k = 10, k + 27 = 5*w + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yjdjdydyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247 - -238. Let n be (6\/(-9))\/(2\/4)*d. Suppose -l + 4 = 1. Calculate the greatest common factor of l and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 4 (b) -2\/13 (c) 0.2 (d) 0.03 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.252 - 394.\nAnswer: -394.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = 0, 3*x + 5*y = 2*x + 614. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -25. Let p(z) = -2*z**2 - 17*z - 3. Let t be p(n). Solve -j + 0*u = -4*u + 3, t*u = -3*j + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 1, y: 3, c: 4, f: 2}. Give prob of sequence yay.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5850\/(-2295) + 22\/(-187))*((-164)\/8 + 1)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)*m\/(m*m*m\/(m*m\/m**27))*m)**(-2\/63))**(5\/14) assuming m is positive.\nAnswer: m**(50\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622*q - 4*y = 625*q - 137345, -32 = -4*y. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 6. Let y(a) = -138. Let c(t) = t + 174. Let z(x) = -4*c(x) - 5*y(x). What is z(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*a + 23. What is the units digit of (8\/a)\/(2\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 4*w**2 + 10*w + 5. What is the hundreds digit of y(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2 + 5\/12*x - 1\/12*x**2 = 0. What is x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(3 + 1 - 2)*(3 - d + 0*d - d).\nAnswer: 12*d - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -44, -800, -2, 0, 9 in descending order.\nAnswer: 9, 1, 0, -2, -44, -800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59878 + -27150. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 11\/12, 2\/5.\nAnswer: -0.5, 2\/5, 11\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 6*m + 48. Determine j(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 20. Suppose 5*m + 589 = 3*p, 0 = -3*m - 0 - 15. Let k be 8\/(-4) + -4 + p. What is the greatest common divisor of k and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/1426660749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 55. Let o be (-14)\/91 + (-82)\/p. Let u be -244*(-1)\/2 + o. Calculate the highest common divisor of u and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 26*o - 5. Let b be i(11). Suppose -5*y = -4*g + 513, -y + b + 74 = 2*g. Round g to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*c + 32, -10*c + 48 = -6*c + 4*i. Solve 2*d - c = 2*a, 3*d = -2*a - 7 - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -165020, -330140, -495464, -661094, -827132, -993680?\n\"Answer: -17*k**3 - 165001*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 + 6*a + 234. Let u(s) = 3*s**2 - 4*s - 233. Give -2*t(m) - 3*u(m).\nAnswer: -3*m**2 + 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 36.9\nAnswer: 184.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, 5\/6, -2, 12\/5 in ascending order.\nAnswer: -158, -2, 5\/6, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 60*r - 343. Let g be m(-6). Let y(n) = 5*n**2 + 97*n + 40. What is y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63815220 divided by 5.\nAnswer: -12763044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -13*j - 8. Let g = 7 + -13. Let y be v(g). Suppose 2*x - y = -5*q, -4*q + 86 = 2*x - 3*q. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30458955197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 0 (c) -1\/8 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 59*a + 55*a = 4*k + 80, -3*a = -5*k - 84 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*6*(-1)\/2. Let w be (2 - -1)\/d*-72. Suppose 8 = k - 0. Calculate the greatest common divisor of w and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1186 - 1185.6. Let a = 3 - 2.7. Put a, t, 0.5 in decreasing order.\nAnswer: 0.5, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 11. Let b(h) = -h - 4. Let x(v) = 11*b(v) + 4*p(v). Let k(w) = -10*w**2. Determine k(x(j)).\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28044927*s**2 - 26349841*s wrt s.\nAnswer: -56089854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -1 (b) -5 (c) 1.634 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 5:21 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-40)\/25)\/((-2)\/(-14910)*-3). Suppose 239*x = 232*x + y. List the prime factors of x.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 81\/60*-2)\/((-234)\/130). What is the smallest value in -2, j, -1\/6, -2\/5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17496.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j**2*o - j**2 - 44*o wrt j?\nAnswer: 12*j*o - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -102*m**2. Let g(s) = 5*s**2. Give r(g(y)).\nAnswer: -2550*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 4. Let p(n) = -13*n**2 + 30*n - 4. Let h be p(2). Let v(t) = -t - 7. Let s(l) = 4*l + 35. Let k(y) = 2*s(y) + 11*v(y). Give h*k(d) + 7*z(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*a - 940 = -2138 - 4112 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - (0 + sqrt(500)*-2) - 3*(sqrt(500) + sqrt(500)*-1 + sqrt(500))) + (2*sqrt(500) + -1 + sqrt(500))*4)**2*-5.\nAnswer: -360080 + 4800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.4 - -352318.\nAnswer: 352357.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:30 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q - 8. Let s = 3 - 23. Let r be s\/16 + (-1)\/(-4). Let t(f) be the third derivative of -f**4\/24 + f**3\/6 - 3701*f**2. Calculate r*l(y) - 6*t(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/8*12\/5. Let d be ((-5)\/3)\/((-2)\/i*1). Put -2, -11, 5, d in increasing order.\nAnswer: -11, d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*d**3 + 81*d wrt d.\nAnswer: -396*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 70 = -7*o. List the prime factors of o + 3*8\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6479809957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {j: 4, w: 1, t: 1, v: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*u - 134*u - 43*u = 8780 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1. Let p(v) = v + 9. Let g(j) = -2*h(j) + p(j). Suppose 8*c - 9 = 2*w + 9*c, -4*w - c = 21. Calculate g(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-8))\/k)\/k**(-2\/5)*k**13*k*(k**(-1\/15)\/k)\/k*k assuming k is positive.\nAnswer: k**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (4 - 0 - -18). Let y be 2\/6 + 30\/m. What is the second derivative of -165*i**2 - 4*i + 2 - 2 + 161*i**y wrt i?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533 (base 6) in base 15?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/18 - (-8)\/(-36). Suppose -4*y = f*p + 12, -2*p + 8 = -0*y - y. Suppose 4*n + p*a - 350 = -54, -65 = -n - 5*a. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - ((-62)\/22 + 10\/(-55)). Let l(j) = 30*j**2 - 17. Let m(t) = 15*t**2 - 8. Let w(a) = k*l(a) - 7*m(a). What is the first derivative of w(i) wrt i?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 2*f + 9. Calculate d(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37999 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 87650551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24852739 is divided by 2071059?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 65904?\nAnswer: 395424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7843 + 7854. Let c(t) = 8*t**3 - 5*t**2 + 5*t - 3. Let i be c(3). Let j = i - a. Is j a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 32 (b) 0.4 (c) -3660\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-15)\/((-165)\/(-22))*483\/90\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1164 or 1276?\nAnswer: 1164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhgghghqgeu. Give prob of sequence hqu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7*b - 2*z + 32, -4*z = b - 15. Let g = -68 + 71. Let j(l) = 4*l + 5. What is the remainder when j(g) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -40*w + 5810. What is the greatest common divisor of 310 and w?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304 (base 5) to base 9\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -10*l - 4*r + 32, r + 1 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -41*j**2\/2 + 94*j - 107. Find the first derivative of c(w) wrt w.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21595*g - 6251495 = 21578*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2483521, -2483515, -2483505, -2483491, -2483473, -2483451?\n\"Answer: 2*h**2 - 2483523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 30, 37, 46, 57?\n\"Answer: n**2 + 2*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1872228693 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 126. Let j be (-16)\/n + (-148)\/(-18). Let x = j - 8. Solve 3*h - 9 = 3*s, 3*h - 2*s + x = 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3668\nAnswer: -5\/3668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a1 + 1344?\nAnswer: 13e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 88.49?\nAnswer: -176.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*n**2 - 62*n - 7 - 113*n**2 + 104*n**2 - 24*n.\nAnswer: 250*n**2 - 86*n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 684\/11 + -62. Sort -0.4, -2, b, 1\/2 in decreasing order.\nAnswer: 1\/2, b, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 30. What is the remainder when 40 is divided by v(27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 515*p - 1010.\nAnswer: -5*(p + 2)*(p + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0698 - 0.067025. What is d rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 6, -4*p + 9*l = 4*l - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 792529560 to the power of 1\/3, to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.12, -3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 29*x + 369. Determine y(-16).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 100?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1711 - -1708. Which is the second biggest value? (a) 0 (b) 12\/13 (c) o (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**3\/3 - 23*q**2 + 2470. Factor x(u).\nAnswer: -u*(u + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/2 - 722004*z + 7220065\/2 = 0. Calculate z.\nAnswer: -1444013, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfeyyzeyeezeyfbz. What is prob of picking 1 f, 2 e, and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -1\/2135094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/20 + 3*s**2. Let a = -7 + 10. Let w(f) = a*f - 3*f - f. Give g(w(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (1 - 6) + 9 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -397 + 203 + 4*r**2 + 194 - 14*r**3 to f + q*r**2 + o*r + d*r**3 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + h - 17 + 17)*(h + 3*h - 3*h)*(1465*h + 467*h - 665*h) to the form c*h**3 + z + y*h**4 + w*h + p*h**2 and give y.\nAnswer: 2534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -4e225a1?\nAnswer: 4e22598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -551, -1104, -1657?\n\"Answer: -553*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 223089.\nAnswer: 2230890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**6\/80 - 3*n**5\/40 - n**4\/16 + 3*n**3\/4 + 15*n**2. Solve h(q) = 0 for q.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-1846)\/(-117) - 4\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112\/195 - -6\/65. Factor -1\/3*h**5 + 0 - 1\/3*h + 0*h**2 + c*h**3 + 0*h**4.\nAnswer: -h*(h - 1)**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j + 4*l + 1, -5*j = -3*l - 55. Solve -12*i = -14*i + j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2551 * 0.5\nAnswer: 1275.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 + 5\/2 - 0. Let y(k) be the third derivative of 1\/150*k**5 + 0 + 1\/30*k**4 + 3*k**2 + 0*k**w + 0*k. Factor y(s).\nAnswer: 2*s*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 241 = 361. Which is bigger: 46 or a?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (805\/69 - 12)\/((-1)\/9). Solve -3*x + 3 = 5*h, -d*h - x + 1 = -0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1121, 4496, 10117, 17978, 28073, 40396, 54941?\nAnswer: 71702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -584315*z**6 + 2*z**2 + 111308 wrt z?\nAnswer: -70117800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-9 - -23) + -7 - 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 172243 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 6:01 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**5\/9 + 124*t**4\/9 - 1384*t**3\/9 + 760*t**2 - 1716*t + 1452 = 0.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 10*w**3\/3 + 372. Let s(g) = 12*g - 3. Determine h(s(j)).\nAnswer: 1440*j**2 - 720*j + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1313 (base 12) to base 9.\nAnswer: -2876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/128484 and 209\/139440?\nAnswer: 17987760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 163*x - 24718 - 11305. Solve -54 = -55*u + x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 776, 767, 758?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*m = 108*m + 7694 - 19266 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -36, -43, -44?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y*y**(-7)*y)))\/(y\/(y\/(y\/(y\/y**(-4\/7)))*y*y)))\/(y**(-7)*y**(-1)))\/(((y**(1\/5)\/y)\/y)**(-12)\/(y**(1\/5))**15) assuming y is positive.\nAnswer: y**(-456\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 n when three letters picked without replacement from {c: 3, h: 1, n: 1, z: 3, l: 4, s: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172462 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 11:52 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttvt. What is prob of sequence ttvt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) -1.1 (c) 1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.341121784 rounded to 2 dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -768*s**3 - 672*s**2 - 147*s.\nAnswer: -3*s*(16*s + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150749 is divided by 108?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -48*y - 17. Let g(c) = 8*c + 3. Let k(r) = -34*g(r) - 6*s(r). Let v(f) = 6*f - 3*f + 0*f. What is 2*k(p) - 11*v(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*f + 36 = 0, i = -4*f - 1 - 2. Let q(x) = x**3 + 14*x**2 - 16*x - 3. What is the remainder when 70 is divided by q(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 - 86. What is the greatest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*v**4 - 2*b**2*v**3 - 4*b**2*v**2 - 3*b**2*v + 3*b*v**4 + 11*b*v**2 wrt v?\nAnswer: -48*b**2*v - 12*b**2 + 72*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 243880954151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*c**4 + 0 - 12\/13*c**2 + 0*c + 2\/13*c**3.\nAnswer: 2*c**2*(c - 2)*(c + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**7\/210 - 81*z**5\/2 - 556*z**3\/3 - 3025*z**2 - 1. Differentiate i(k) wrt k.\nAnswer: 4*k**3 - 4860*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1049894, 1\/4, -1, -4, -2\/3 in descending order.\nAnswer: 1\/4, 0, -2\/3, -1, -4, -1049894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 18 = 3*d. What are the prime factors of (-4)\/(-12 + 4)*d*677?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11603 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 339 + -337. Let a be ((-1 - 0) + r)\/((-11)\/22). Sort -1, -24, a in ascending order.\nAnswer: -24, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6}. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55\/8 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 49. Let s be 1 - 4*y\/16. Let v = 0.053 + 0.047. Which is the closest to -1? (a) v (b) 0.07 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -p + 3*j, 0 = 5*p - 3*p + 4*j. Suppose p*u + 64 - 764 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*j*n**2*z - j*n**2 - 23*j*n*z - 240*n**2*z - 50*n*z wrt n.\nAnswer: -20*j*z - 2*j - 480*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4724*p = 4721*p + 24 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.76*4.2\nAnswer: -3.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 13*s**2 - 13*s + 21. Let x be c(-8). Let b = 118 + x. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 2658*b**2 + 70*b**3 + 2660*b**2 + 4 wrt b.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -837, -1572, -2289, -2988?\n\"Answer: 9*r**2 - 762*r - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than 1870.7399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1 - 11.9. Let m = -0.03355 - -226.93355. Let w = m - 227. Is w smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f = -4*s + 117, 0 = 5*s + f - 153. Is 29 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:16 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f*f*f**7)\/f))\/(f*f*f**(-6\/7)))\/(f**(-2\/5)*f**(1\/5)))**(-5\/14) assuming f is positive.\nAnswer: f**(313\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 13*o + 18. Let b be f(-6). Let m(w) = 11 + w - w**2 - 8*w + 0*w - b. Give m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2113 is divided by 271.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + 4 - 6 + 7*u)*(249*u + 133*u + 881*u + 292*u).\nAnswer: 20215*u**2 - 3110*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684.0895 millilitres to litres.\nAnswer: 0.6840895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 26*l**3 + l**2 + l. Let r be t(2). Suppose 4*h = -s + 369, 4*s = -s + 2*h + 1889. Let w = s - r. Is 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 15776.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895017023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 25 - 23, c - 29084 = 2*b. Is c a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 9:55 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4217438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -4*w. Suppose w*b - b + 134 = -5*c, 2*c - 589 = -5*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 69 - 1 = -3*s, 0 = -5*s - 2*d - 90. Let m = -14 - s. Suppose -m*t = -15 + 13. Solve 0 = -4*z + 13 - t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 11. Let o be ((-1)\/(-2))\/(4\/(-296)). What is the units digit of o\/(-4) + (-2)\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*1\/(-6) - 7\/(-42). Let m(o) = 20*o + 1. Calculate m(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1387 = -4*g - 2*h, -4*h - 1375 = -3*g. Suppose 141 - g = -2*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**15)\/((h*h\/(h*((h*h**(-1\/2))\/h)\/h)*h*h)\/h)*h*h*(h*h\/(h\/h**(-25)))\/h*h**(-39) assuming h is positive.\nAnswer: h**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 17 = -3*m - n, -2*n = 4. Suppose -m*r = -8*r + 59. Let o = r - 55. What is the lowest common multiple of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18356*a**2 - a - 18400*a**2 - 3*a**3 - 5*a**3 + (-2*a + 0 + 0)*(-2*a**2 - 3 + 3) + 38*a - 38*a - 6*a**3.\nAnswer: -10*a**3 - 44*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/20)\/((197 - 199)*9\/(-10))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + (sqrt(76) - 5*(sqrt(76) - (sqrt(76) - (sqrt(76) + sqrt(76)*2 - sqrt(76))))))\/(sqrt(36)\/sqrt(36)).\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000047566 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(42) - sqrt(420)\/(sqrt(20)\/sqrt(2)))\/sqrt(6)*-3 + (1 + sqrt(175) + 1)*-5 + -2.\nAnswer: -25*sqrt(7) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 9 = 5*n - 30, 4*y + n = 13. Solve -y*t - 8 = -0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q. Let i(y) = -717381*y**2. Calculate n(i(s)).\nAnswer: -5021667*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 8. Let w be p(4). Suppose 173 - 1 = w*d. What is the remainder when d is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*u + 5857 + 561, 0 = 4*c - u - 6421. Let w = c + -772. Let i = 363 - w. What is i rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*f + 2 = -6, -4*n - f + 16 = 0. Solve -3*i = -3*y - 12, n*y = -4*i - i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 4*w + 4. Let r be y(-4). Let p be (-1 - 0)\/((-15)\/540). Calculate the greatest common factor of p and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2933607352 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1)*(9*4)\/(-4). Solve -5*w + k = -5*d + 24, -d - 9 = 3*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/2*(-42)\/30)\/((-12)\/40). Suppose -107 - 243 = -2*f. What is the highest common factor of f and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49, -188, -411, -712, -1085, -1524, -2023?\n\"Answer: a**3 - 48*a**2 - 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -221 - 2205?\nAnswer: -2426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 13, 3\/4, -2, -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15*y - 492. Determine p(32).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095100 rounded to the nearest ten thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/15 + 2018*w**2\/15 - 6068*w\/15 + 4048\/15 = 0.\nAnswer: -1012, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 249957005\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1081 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -88498113, -176996225, -265494337?\n\"Answer: -88498112*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 - 1.851. Let t = 4.951 + k. What is the smallest value in 6, 0.3, 1\/2, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 112.77, -8, -2, 3, -4, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31547 + 2*q**4 + 6*q**4 + 2*q**3 - q + 31545 - 5*q**2 to w*q**2 + u*q**3 + p + v*q**4 + m*q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -319 * -55.05\nAnswer: 17560.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 61655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4702 - -4697. Let a be 31\/(-4) - (-2)\/(-8). Sort d, a, -2\/11 in decreasing order.\nAnswer: -2\/11, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*a + 109*a - 12*a + 161*a + 26103 = 0 for a.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02629 + 0.07371. Put n, 3, 20\/191 in descending order.\nAnswer: 3, 20\/191, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 8*p. Let q = -4 + p. Is q\/(3 + -7) + 1534 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10601*q**3 - 683*q**2 + 6 wrt q.\nAnswer: 63606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108441 and 15?\nAnswer: 542205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-6*t - 14*t + t)*(-1 + 0 + 4).\nAnswer: 114*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236\/5664 - 390766\/(-48) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2416 + -50738\/21. What is the second biggest value in -23, -5, -11, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/18 and 17\/518.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14588163?\nAnswer: 3, 59, 83, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 21*l + 17. Let m be r(20). Let b be m - -5 - (-2 + 1). Let i be 21 + (1 - 0) + -2. Solve 0 = 4*h + b*s - i, -2*h = 4*s - 6 - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*w = -3*x - 185005 + 184976, 5*x + 3*w = -3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/3803125?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 892024 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/12 + 2*y**3\/3 - 22*y. Suppose a(d) = 0. Calculate d.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**2 + 3*v - 3. Suppose -5*b + 2*z - 19 = 3*z, -5*z = 4*b + 32. Let j(c) = 14*c**2 - 5*c + 5. What is b*j(x) - 5*d(x)?\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 11*h**5\/60 + 5*h**4\/24 - 7*h**3\/6 + 53*h**2. Let i(o) = -o - 6. Let l be i(4). Is q(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 451*r - 463*r. Let p be (-3)\/(7 - r\/(-2)). Solve 5*b + 1 - 4 = -p*m, 3*m = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 3. Suppose -2*n + 3 = -n. Let l be y(n). Suppose l = -5*v + 16. What is the smallest common multiple of 7 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.09 * 8711198.\nAnswer: 9495205.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -7) + -2 + 0 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.4, 45, -3\/5, 0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1840.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1165*z**2 - 841 - 744*z**4 - 1165*z**2 wrt z?\nAnswer: -2976*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 571516?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/73326 and -7\/28785.\nAnswer: 6965970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9)*(3980\/(-199) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -3*4\/12. Solve -h + f + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55.15562 centimeters?\nAnswer: 551.5562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2. Let g(m) be the second derivative of 0*m**2 + 4*m - 1\/3*m**3 + 0. What is n(g(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/((sqrt(2) + sqrt(8))*4)*-4)**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -17, 17?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -74*6.9\nAnswer: -510.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45986*z**3 + 66420*z**3 + 38914*z**3 - 21752*z**3.\nAnswer: 129568*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -245*z + 268 + 211 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3323 + -3180. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -86*u**2 + 2*u + 17. Let r(z) = -29*z**2 + z + 6. Let k(j) = -6*f(j) + 17*r(j). Let v be 6*-4*3\/12. Let g(m) = 4*m**2 + m. What is v*k(p) + 34*g(p)?\nAnswer: -2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 268869?\nAnswer: 268869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 10*y - 11. Let f(o) = o**2 - 9*o + 10. Let a(j) = -4*f(j) - 3*x(j). Calculate a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520102 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c - 11*c - 3*c + (-5*c - 2 + 2)*(6 - 5 + 6) + 9 + 2*c - 9.\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(-1*sqrt(80)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7470038 divided by 2\nAnswer: 3735019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 240162*z - 2161444. Calculate u(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12104600 rounded to the nearest one hundred thousand?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 311.5278 grams?\nAnswer: 311527.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (1*(sqrt(156) + ((sqrt(156) - (3*sqrt(156) - sqrt(156) - sqrt(156))) + sqrt(156))*4 - sqrt(156)))\/((-3*sqrt(588) - sqrt(588))*-4)).\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + -1 - (4 + 4 + -15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9400 and 1127060?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50670.71 micrograms to nanograms.\nAnswer: 50670710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (431471\/24 - 3) + -1. Let u = 17971 - y. Calculate the common denominator of -65\/8 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036 divided by 1018?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 676600 - 22476.\nAnswer: 654124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -2*c - 4*b + 10, 5*b = -3*c - 23. Let f be c\/((-5)\/(-2) - 3). Is 109 - -2*(f - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 4 = 5*x. Suppose -s = -0*s - 4*q - 8, -x*s - 2*q = 26. Calculate the remainder when (-192)\/(-30)*(-10)\/s is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1298, 1427, 1556, 1685, 1814, 1943?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 144 = 146 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 581646541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 206.9 - 7.9. Let h = -199.202 + d. Let f = h + 0.22. What is f rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(3) - 6*sqrt(6)\/sqrt(2)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**3 + 2*j**2 + 5*j + 1. Let p(r) = 4*r**3 - 4*r + 0*r**3 + r**3 - r**2 - 1. Let i(y) = 4*b(y) + 5*p(y). Is i(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 9:37 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 50, 1, 3 in descending order.\nAnswer: 50, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5347132 to the power of 1\/2, to the nearest integer?\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(11) + 2))**2.\nAnswer: 64*sqrt(11) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23235234 (base 6) in base 13?\nAnswer: -1c2c07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 10:14 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f. Let l be w(-1). What are the prime factors of ((-56)\/l)\/(4\/10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227 by -4505.\nAnswer: -227\/4505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -9 - (37 + -39).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 27. Let m be (-5)\/(-13 - (-408)\/32). What is d(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 3. Let o be r(-2). Let j be 2\/(-2)*o\/(-6)*0. Suppose -2*m + 7*m + 2*c - 209 = j, -m + 46 = -c. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, 1 h, and 1 m when four letters picked without replacement from ddkahzhhdhadkhdmahhh.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v**2 - 2*v - 6. Let k(w) = -4*w**2 + w + 2. What is -8*k(l) - 3*z(l)?\nAnswer: -4*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 6) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 2 r when four letters picked without replacement from {f: 1, r: 2, b: 4, j: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/sqrt(2) - -6*sqrt(39)\/sqrt(3).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 13*h**3\/2 + 222*h - 20. Let g(v) = -71*v. Give d(g(s)).\nAnswer: -2769*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(sqrt(33) + (sqrt(264)*-2)\/sqrt(8))\/(sqrt(75)*-2)*6.\nAnswer: -12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4352918951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*n + 18. Suppose n*r - 3*r = 52. Solve -3 = -4*o + r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, 3, -2\/9, 163, -356?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 299*w + 4187. Let l be m(-14). Sort -4, l, -9, 4.\nAnswer: -9, -4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 6855.\nAnswer: 6854.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1 + (-25)\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 75?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d + 69. Calculate s(27).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000063633 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - (-1 + (1 - -2)). Suppose -2*n - 12 = 4*z, z - 6 = 3*n - f*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1525*h - 1516. Calculate b(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/41 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 b, 1 h, and 1 t when four letters picked without replacement from kkssscktbkhc?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:18 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 4, 5*b - 13 = 3*c. Suppose b = 2*i - 1. Suppose 2*d + 2*d = -4*k - 8, 0 = -d + 2*k + 7. Solve -i - d = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + -5 + 3) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**5\/a*a**(1\/10))**(-2\/73) assuming a is positive.\nAnswer: a**(-51\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2490 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13626202099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0053 in -66, 0.3, -4\/5, 5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 8*p - 2. What is the remainder when k(4) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - h = 1046, 11*n - 9*n + 5*h - 2071 = 0. What are the prime factors of n?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 675 + -2701\/4. Which is the nearest to 114? (a) -2\/13 (b) y (c) -4\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (19 + -9 + 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.829 times -23?\nAnswer: 410.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/6 and -155\/918.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 7)*(864*r - 362*r - 406*r).\nAnswer: -192*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4, -5, -2, 11, 40, 91, 170, 283?\n\"Answer: z**3 - 4*z**2 + 4*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3675 = 2*n - 27*n. Let w = 193 + n. Calculate the remainder when w is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - y**2 + 0 - 1)*(-12*y + 12*y - 2*y**2) in the form o*y + n*y**2 + u*y**3 + b*y**4 + j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 2. Let f(y) = 7*y + 8. Give -2*f(c) + 9*n(c).\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 291*k**2 - 6*k - 291*k**2)*(-3*k**2 - 13 + 11 + 7*k**2).\nAnswer: 8*k**5 - 28*k**3 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 - 4*s**4 + 3*s**4 + 17*s**4 - 12*s**4 + 37*s**4 + (2*s**3 - s**3 + s**3)*(0*s - s + 0*s) + 8 - 8 + 3*s**4.\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2988\/13 - 230. Let u = 49.051 - 0.051. Let a = u + -50. What is the third smallest value in c, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfqfqqqqq. What is prob of picking 1 q and 2 f?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79.42 - -79.4204559. What is u rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/6292 and -79\/35016.\nAnswer: 55080168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a second?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113\/168 + -1\/168. Let s = 60 + -59.7. Which is the nearest to s? (a) 2\/9 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-3))\/((-5)\/15). Suppose 3*y - 3*l + u*l - 1247 = 0, -4*l = 3*y - 1246. Let p = y - 157. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j + 6*j - 60 - 50 + 40 - 20. Determine f(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -16 - (37 + -11 - (-9 + 24))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5090203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -135 in 0.434, 2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 670073928 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.5849?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -14*f**3 - 1 - 50*f + 46*f + 2*f**2 + 18*f**3. What is the tens digit of k(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 1 - 26\/26. Let x = 1\/4 - 3\/8. Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, r: 6}. Give prob of picking 2 r.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -3, 12, -28 in ascending order.\nAnswer: -28, -4, -3, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 28\/15*s**4 + 49\/75*s**5 + 0*s + 23*s**2 + 2\/75*s**6 + 22\/15*s**3 + 0. Factor c(n).\nAnswer: 4*(n + 1)*(n + 11)*(4*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1344*q + 1117. Let v(g) = -3*g. Let n(j) = 10*v(j) - z(j). Differentiate n(l) with respect to l.\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340 and 146780.\nAnswer: 2495260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**4\/6 + n**3\/3 + n**2\/2 - n. What are the prime factors of l(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2029276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 3. Let c(w) = -2*w. Give c(b(h)).\nAnswer: -4*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 1*(-3 - -2). Let f = 321 - 720. Let y = -391 - f. Solve -y = -z*a - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25870 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v + 14*v - 4*v - 3*v**2. Let k(c) = -c. Calculate y(k(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/1871 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60354 is divided by 89?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6796587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 1, z: 1, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 18 = -466. Sort f, 3, -1 in descending order.\nAnswer: 3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*21\/(-105))\/(30\/200)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*f + 13. Suppose -w - 119 = -5*v, 73 = 3*v + 3*w - 2*w. Let m be (-9)\/27 + v\/(-9). Put f, -5, m in increasing order.\nAnswer: -5, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10832*p**2 + 653*p - 5135. Is c(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 11*g + 2. Suppose -r - g*r = -6. Suppose r*j + 5 = 41. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 12786*j**2 + 38343*j**2 - 12776*j**2 + 9*j - 12783*j**2 - 4*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - z + 127, -28*k + 2*z + 9*z + 1769 = 16*z for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*r - 256 = 0, 2*y = -y + 2*r + 284. Let j = 201 - 33. Let q = j - y. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i**2 + 20*i + 8. Let p(a) = a**2 + 2*a + 1. Let g(b) = -10*p(b) + y(b). Solve g(n) = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449559.\nAnswer: 3, 11, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28514*v**5 + 38513*v wrt v.\nAnswer: -570280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + 0.01. Which is the closest to t? (a) -1\/3 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35683374?\nAnswer: 2, 3, 17, 349837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2191*y**5 - y**4 + 116*y**2 - 5379911*y wrt y.\nAnswer: 43820*y**3 - 12*y**2 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4 and -155\/3933276.\nAnswer: 3933276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -24*m. Let z be o(-3). Suppose -4*u + z = -3*p, 4*u - 51 = 4*p + 21. Calculate the smallest common multiple of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/17)\/v*v\/v**(-3)*v\/(v*v\/(v*v\/(v*(v*v\/v**(-1))\/v*v)*v*v))*v**(-2\/5)*(v\/(v*v**(1\/4)*v*v))**(-34)\/(v**(-2\/7))**(-24) assuming v is positive.\nAnswer: v**(84639\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 323570, -1\/6.\nAnswer: -29, -1\/6, 323570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 13*y**2 + 4. Let x be b(13). Let i(u) = 0 + 4 - x - 3*u**2. Let q(j) = 5*j. Calculate q(i(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r - 19. Let h(y) = -y**3 + 17*y**2 + 19. Suppose 4*d - 104 = -36. Calculate the remainder when x(14) is divided by h(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 34*s**2 + 33*s + 4. Give w(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -40a?\nAnswer: 3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a - 2. Let v(z) = -15*z - 3. Let t(r) = 5*v(r) - 7*w(r). Let u be 5\/3 + (-4)\/6. Let b be (-1)\/(2\/(-2)*u). Calculate t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712587?\nAnswer: 3, 173, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11335 + -11389 - (54 + -1).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -178. Let z = m - 4. Suppose -3*q - 2*j + 337 = 2*j, -5*j = q - z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 2*v**2 - 5*v**2)*(-293 + 150 + 155)*(-4 + 0 - 6).\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 6*a**2 + 2*a + 7. Let c be t(6). Let p = 15 - c. Let l(i) = i**3 + 4*i**2 - 5*i + 3. Is 11 a factor of l(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30051802 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k. Let x(f) be the first derivative of -116*f**2 - 154. Calculate h(x(u)).\nAnswer: -464*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -950*v + 2. Let y be u(-3). Suppose 5*h - y + 277 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10654317?\nAnswer: 3, 1183813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 + 3\/(-2). Suppose 3*x = 8*x + 15. Sort x, -5, l in increasing order.\nAnswer: -5, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -117\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*k**3 + 2355*k**2 + 30*k - 2355*k**2.\nAnswer: -37*k**3 + 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 189810, 189812, 189816, 189822, 189830?\n\"Answer: p**2 - p + 189810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476 or -389?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 24*f - 64*f + 13616 = 81*f for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10158 + 6685. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0335 - 0.2775. Let x = q - 0.689. What is the nearest to 0.2 in -2\/11, x, -2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13735221.\nAnswer: 3, 4578407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18914 - -37297. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 + 5 = 0. What is the derivative of -31 + m*p**2 + 26 + 0*p**2 wrt p?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - s + 1. Let z be r(-7). Let u = 161 - z. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, u: 1, v: 3, e: 6}. What is prob of sequence qqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + q + 4. Determine h(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - n - 82, 0 = 4*r - 0*r + 5*n - 83. What is the remainder when 31 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16983 divided by -5661\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 161015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x. Let w(n) be the third derivative of -n**5\/5 - n**2 + 168*n. Calculate d(w(u)).\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shobobsfbfbofhb. What is prob of picking 1 o and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*(v\/(v*v**(-5\/2)))\/v*v*v\/(v\/(v\/v**14))*v*v**(-1)\/v*(v**(4\/3)\/v*v)\/v assuming v is positive.\nAnswer: v**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3716551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 6*y**2 + 5*y + 4. Let m be l(5). Suppose 0 = -26*c + 7*c. Solve c = -b - b - m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*o**2*w + 924*m - 671*o**3*w + 10*w with respect to o.\nAnswer: -4*m*o*w - 2013*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*b + 4 = 0, -18 = 611*u - 609*u - 4*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 751994335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9143, -9155, -9183, -9233, -9311?\n\"Answer: -s**3 - 2*s**2 + s - 9141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (((-32)\/(-5))\/2)\/((-67)\/(2144\/(-64)))\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/606 and 25\/78.\nAnswer: 7878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**3 + 3*j**3 + 6*j**5 - 4*j**5 + (4*j**3 + 0*j**3 + 0*j**3)*(j - j - 2*j**2) + 3*j**5 - 2*j**5 - 2*j**5 + 4*j**5 - 4*j**5 - 4*j**5.\nAnswer: -11*j**5 - 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzxxxx. What is prob of picking 2 z and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 7}. What is prob of sequence frrf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 52833?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 12. Let s = -146 + 148. Factor -2 + n + n**3 + 5*n**2 - 14*n**3 + 2*n**4 + 3*n**4 + t*n**s.\nAnswer: (n - 1)**3*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 40433.14 days?\nAnswer: 3493423296000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2\/5623, -2, -858 in descending order.\nAnswer: -2\/5623, -2\/3, -2, -858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/1456*((-11)\/((-176)\/40))\/(2\/2)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 9 = -17*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-14*14\/(-49)))\/((-29)\/(-4))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/40 - 3*d**5\/20 - 3*d**4\/8 - d**3\/2 + 39*d**2. Find h such that v(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emm when three letters picked without replacement from memeeeeemeeeemeeem.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -68. Let n(p) = -p**3 + 6*p**2 + 15*p + 6. Let f be n(q). What is the nearest to 2 in f, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/272216 and 199\/2940?\nAnswer: 28582680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1191\/40 - -29\/40. Let b(g) = 12393*g**2 + g. Let h be b(1). Let p = 148591\/12 - h. Find the common denominator of q and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-6)\/48 + (-15)\/9\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/2 + 3409*f**3 + 13642*f**2 + 13644*f.\nAnswer: -f*(f - 6822)*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c**2 + 5 + 2*c**2 - 83*c**2 + c**3 + c**3.\nAnswer: 2*c**3 - 111*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -121 + 1 - -130 - (-79 + (0 - 1)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2576520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 162.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -11. Let h be (4 + (-1 - 2))*m. Solve -h*r**2 + r**4 + 3*r**2 - 22 + 23 = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*p = 4512 + 504 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -99, -129, -171, -231, -315?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 22445325.\nAnswer: -1\/7481775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*n + 36*n + 810*n**2 - 199*n + 126*n.\nAnswer: 810*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220738*b + 2128 = 220682*b for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -61569 (b) 1 (c) 0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*v**2 + 10*v - 15*v**2 + 3 + 28*v**2.\nAnswer: 48*v**2 + 10*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461 - 461 - 9762*j.\nAnswer: -9762*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9a (base 15) to base 16\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z + 3. Let i(b) = -17*b + 7. What is 4*i(u) - 9*r(u)?\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*j - 138*j + 482*j - 158*j.\nAnswer: 49*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*l = 33*l - 32*l + 136242000. Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 11*i - 69. Let q be f(7). Suppose -q*a + 14608 = -12136. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63*b + 63*b - 7 + 2*b**4)*(1 + 2 - 1) to the form y*b**3 + m*b**2 + j*b + l + o*b**4 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12932.\nAnswer: 2, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -79903, -80152, -80353, -80482, -80515, -80428, -80197?\n\"Answer: 4*w**3 - 277*w - 79630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 494625518783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3100 and 51\/24025?\nAnswer: 96100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:02 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 1, 5, 2, 0.04702, -4, -5 in ascending order.\nAnswer: -5, -4, 0.04702, 1\/12, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 298904*z + 1793315. Give i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/40 and -41\/2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -39.28+0.05003\nAnswer: -39.22997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3307452, 6614923, 9922418, 13229949, 16537528, 19845167?\n\"Answer: 2*n**3 + 3307457*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 41 = -47. Suppose -4*r = -5*o + 4 + 10, -3*o + 5*r = -y. Factor -1\/3*v**o + 4\/3*v - 4\/3.\nAnswer: -(v - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**5 + 69569*w**4 - 912291*w + 2 wrt w.\nAnswer: 100*w**3 + 834828*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.013542383.\nAnswer: -0.0013542383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -2\/5, 2\/7, 79\/5, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60529 by 8647.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-2 - -6) + 9330000 + -1. What is k rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**2 + 7*g - 7. Let b(j) = 5*j**2 + 4*j - 4. Let a be 2\/6 - (-32)\/(-6). Suppose 2*f + 24 = 7*f + 3*n, 0 = -3*n + 9. Calculate a*b(c) + f*x(c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9510547 - u**2 + 9510547.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12107701 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: Solve 30 = 6*d - 4*d + 2*t, -4*d + 50 = 2*t for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - 30 = 140 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*q - 7156 - 14216 + 1926 = 2312 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1004312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p = -2*b + 4, -19 = 4*b - 5*p. Let v be (-14)\/35 + b\/(15\/(-6)). Solve v = 2*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96? (a) 3\/2 (b) 73 (c) 12 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 20 = 4*c. Let x = -3 + 7. Suppose -3*m + 8 = -5*m. Sort m, c, x in ascending order.\nAnswer: c, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 28 = 18, 4*r = s - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1998*z**3 - 2759*z**3 - 909*z**3 - 2034*z**3 - 2664*z**3.\nAnswer: -6368*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -238.487017 to 1 decimal place.\nAnswer: -238.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1998394941 to the nearest integer?\nAnswer: 44703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2400\/7 - 343. Let c be -2 - (-1)\/((-22)\/(-40)). What is the second smallest value in -2, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.30725 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3999.\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -44. Which is the third biggest value? (a) 4 (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713332 is divided by 712924?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c + 22. Let g be ((-6)\/(-8))\/(((-9)\/9)\/8). Let x be n(g). Calculate the highest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*q**2 + 25708*p**3*q - 4*p**3 + 477*p**2*q**2 - 282*p**2*q - p**2 + 2*p + 2*q wrt p?\nAnswer: -12*q**2 + 154248*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - 70. Suppose 0 = g*i + 2*i - 48. Suppose 1108 = 4*n - 0*n - i*k, -5*k = 4*n - 1135. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - -3 - -6 - (-3)\/(-12). Which is the nearest to 2\/19? (a) h (b) -1\/4 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.23, 3, 3707?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4*6\/60)\/(22\/1155)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 676*a - 851439. Determine q(-505).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2999 + -2163. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -2 - -2) + -1. Let m(q) be the first derivative of -2\/3*q**3 - 12 + 3\/2*q**2 - 1\/4*q**4 + 3*q. Give m(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - 70. Is x >= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 3*x**2 + 2*x**4 + (-x**3 - x**3 - x**3)*(0 - 75 + 38 - 2*x).\nAnswer: 8*x**4 + 111*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 15, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*s + 4. Suppose -s*f = -f - 9. Let y(k) = -f*k - 6 + 0*k + k + 2. Calculate y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*v - 42 + 48 - 111 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a gram in milligrams?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5 - 4)*(-1351)\/(-6))\/((-510)\/680).\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - y**2 + 4*y - 13. Let z be h(-3). Solve -11 = 3*j - z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 4\/(8\/2). Let q be 10\/v - 10\/(-15). Let k(c) = -c + 1. Calculate k(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-192)*(-8)\/(-2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42*((-5 + 17)\/(-2))\/(-3). Let d be (-40)\/w - (-3 + (-60)\/(-21)). Put -3\/7, 0.4, -1\/9, d in descending order.\nAnswer: 0.4, -1\/9, d, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-10))\/((-14504)\/(-2590))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**3*a*a*a)*a**(5\/4)*a*(a*a**(-1\/4))**46)\/(((a**(-4)\/a)\/a)\/(a*a**(-4)*a)*(a*a*a\/(a**(1\/2)\/a)*a)**(-24)) assuming a is positive.\nAnswer: a**(579\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -7 - (-19 - -25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s. Suppose 0 = -2*b + 3*b - 20. Suppose -4*n = -2*u - b, 5*n = 4*u - u + 26. Determine a(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1674783, -1674777, -1674773, -1674771, -1674771?\n\"Answer: -f**2 + 9*f - 1674791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/((-13)\/8008). Let a = 3077\/10 - x. Calculate the common denominator of 4\/8 + (-143)\/72 and a.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 62 + 14 - 4333*h + 15 in the form p + v*h and give v.\nAnswer: -4333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f**3 - 20*f**2 - 48*f + 101. Let k be y(2). Solve 2*v + 18 = k*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39406.\nAnswer: 2, 17, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1412 - 415 - 589 + 36*w - 408.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1757970 - 271.3\nAnswer: 1757698.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 13*z - 18. Calculate r(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + 5\/3. Let y be 3\/2*12\/(-9). Let q be y - -2 - (-4 - -2). Solve 0*w = q*w + 2*n, t*n = 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -206 - 4?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 11*r**2 - 10*r + 8. Let h be m(-10). Suppose -7*l + h*l = 0. Suppose l = 3*q - x - 27, 2*q - 27 = -3*x + 2. Solve -6*v = -v + q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-127)\/5 + 23 + 1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1247*a**2*f**3 - 188*a**2*f**2*x - 48*a*f**3*x - 3*a*f**3 - 2*a*f**2*x + 195*f**2*x - f**2 - 3*x wrt f.\nAnswer: -7482*a**2 - 288*a*x - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 51. Suppose f + 7 = -w + x*w, 5*w + 5*f = 40. Let q be -5*1*8\/(-5). Solve -w*o + q = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*g - 22, 5*g - 5*a = 9*g - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t - 9*t + 11 - 10 to h*t + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 325 and 77940\/390 + 12\/78.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4238926 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -462077 - -2?\nAnswer: -462075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -542 + 566.9. Let m = -26 + x. Let o = 2.6 + m. What is o rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -16. Sort 5, 2, q in ascending order.\nAnswer: q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3069555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5433562 or 5433566?\nAnswer: 5433566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -1111*b + 1108*b. Solve 0 = -5*t - t + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3658881 to 2 dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3. Let m(j) = j**2 - j - 7. Let i(c) = 2*m(c) - 5*n(c). Let k be i(-3). Are 25 and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*x**2 + 2\/3*x - 2\/3*x**3 - 4\/3 = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.79*-2894\nAnswer: -2286.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 10, w: 9}. Give prob of picking 1 w and 1 l.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 67217*j - 470594. What is n(7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7261 is divided by 2419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 10*v - 15. What is h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 11*r**2 - 15*r - 14. Let x be g(-12). Suppose -2*w + x = -0*w. Which is smaller: 12 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101011000 + -11110?\nAnswer: 110100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2 + m - 4. Let o(d) = -396*d**2 - 12*d - 12. What is -3*f(c) + o(c)?\nAnswer: -384*c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 469, 700, 935, 1174, 1417, 1664, 1915?\nAnswer: 2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (129\/1419)\/((-6)\/22).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 59. What is the remainder when 30 is divided by (0 + -2)*(-12)\/g*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (2 + 7) - -10) + (-4 - 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -144, -2 in increasing order.\nAnswer: -144, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 196584233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -69341 greater than -69330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*v = -33, -104 = 3*c + 3*v + 31. Let m be (18\/(-4))\/(c\/32). Solve -t - 18 = -3*n, -4*t + m*t - 4*n = -17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14bd (base 16) to base 2.\nAnswer: -1010010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 606510338 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71076589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/5 - 1862\/(-95). Suppose -4*b = 4*j - j - 93, b - z = -4*j. Calculate the smallest common multiple of 18 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**6 + l**2 - 14*l**2 + 9*l**2 - 10*l**6 wrt l?\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9988747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 247 + 75. Suppose -4*l + 34 = -3*t - 123, -3*t + 5*l = z. What is t rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 9. Let q be x(8). Is q\/2 - 95\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 10110?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - ((-265)\/(-55) - 0). Put -49, n, -5 in decreasing order.\nAnswer: n, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32327 is divided by 32171.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 52963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 843868.3 decades?\nAnswer: 84386.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*y**2 + 0*y + 28*y**2 - y)*(-175 - 137 + 210) to the form q*y + s + b*y**2 and give b.\nAnswer: -1122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**3 - 5*c**2\/2 - 2*c + 1. Let p(w) = w**2 + w. Let z(u) = -2*p(u) - t(u). What is the units digit of z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 90 + 159 = 91 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**3 + 4*i - 4*i + (12*i - 12*i + i**2)*(i - i + i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (15 - -48 - 46) + (116 - -2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 + 2*y + 1. Let w be c(-1). Let k be w + (-2 + 0 - -8). Let u = k - 6. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 5855365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Suppose -14 = -5*u + m, -m + x = 4*m. Let z be 45\/39 + (2 - u). Which is the biggest value? (a) z (b) 1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-29) + 1\/(493\/(-527))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-1 + -4)**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 688018.\nAnswer: -3\/688018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1*24\/(-12))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + 1.74. Let q = 195.96 - 196. Let c = q + b. What is the nearest to 0.1 in c, -1, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1280 and 54883664.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -485\/201584 or -1?\nAnswer: -485\/201584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v**2 - 27*v - 59. Let i(c) = 8*c**2 + 28*c + 60. Let r(b) = 4*h(b) + 5*i(b). Solve r(q) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6053131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243 and 90.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -f016 (base 16) in base 15?\nAnswer: -13327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 2, s: 1, m: 4, v: 5, w: 7}. What is prob of picking 2 n?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4.7. Let r = 0.5 - o. Let v = -0.3 - r. Which is the second smallest value? (a) 3 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4273 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -17*d**2 - 23*d + 306. Let l(p) = -47*p**2 - 68*p + 916. Let a(o) = 8*k(o) - 3*l(o). Factor a(y).\nAnswer: 5*(y - 6)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -2*s**6\/15 + 13*s**3\/6 - 40*s**2 - 60*s. What is the first derivative of b(x) wrt x?\nAnswer: -16*x**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12817735 (base 9) in base 6?\nAnswer: 343403522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2. Let o(j) = -17*j + 11. What is -3*k(f) + o(f)?\nAnswer: -17*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/((-36)\/1998) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -25. What is the lowest common multiple of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 7574*y**3 - 7575*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*r + 52. What is v in -3*v**2 + 7*v**2 - r*v**2 - 2 + 7 - 6*v = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 l when four letters picked without replacement from lvvvllvvvllvv?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 20 = 0, -5 = 3*w + 4*u - 5*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 100*d**2 - 13*d + 2. Let u(b) = 50*b**2 - 7*b + 1. Let j(n) = 6*t(n) - 11*u(n). Is j(1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-2*(-4)\/(-80)). What is z rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*j = 11, -2*k + 0*k + 21 = -5*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1557 - 578. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**3 + 1252328121*n**2 + n - 1252328121*n**2.\nAnswer: -26*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49168 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7608*k**2 - 1506*k**2 + 154 - 160 + 6 as z*k**2 + d + l*k and give z.\nAnswer: 6102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8968\/861 + -16\/123. Let r = s - 1238\/119. Let g = 3 + -2. What is the closest to 0.1 in -0.1, g, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.2986ug in grams?\nAnswer: 0.0002282986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*x + 13 = a, -3*a + 7 = -x. Suppose a*s - 42 = -6. Let g(z) = -z**2 + 10. What is the smallest common multiple of s and g(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 7*b + 3*b)*(5*b**2 - 8*b**2 + 5 - b**2) in the form i*b**2 + m + t*b**3 + r*b and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j + 13*j + 8 - j**2 - 5*j)*(-j**2 + 2*j**2 - 2*j**2)*(11 + 6 - 8) in the form b*j**2 + t + n*j**3 + x*j**4 + s*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -4 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4400)\/(-72) - (-6880)\/7740.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + z - 1. Let t(y) = 11*y**2 - 3*y + 3. Determine 12*s(x) + 4*t(x).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*j - 0*t - 27, -3*j = 5*t - 29. Suppose 0 = -j*z - 3939 - 6612. Let q = z - -6240. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 6. Let c = r + -3. What is the closest to 0.1 in c, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 a factor of 6923000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 208\/1560 + 176\/30. Calculate the greatest common factor of r and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-48) - 13\/39\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 5*x**4\/12 + x**3\/6 + 3*x**2\/2 - 2859*x. What is g(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17825 - 17772. Calculate the remainder when 31055 is divided by z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30426301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 7911814.320129.\nAnswer: 7911816.320129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {t: 7, g: 3, j: 3, p: 3, z: 1, i: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -12 - 33. Suppose -2*m = -3*x - 10, 5*m + 2*x = 2*m + 2. Suppose -w = -l + 3, 6 = -l - m*w - 0. Put l, -4, r in descending order.\nAnswer: r, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2509.7772 months?\nAnswer: 0.2091481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2200 and 2156?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6)*(-16 + 1045\/66))\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3506.1498 to the nearest 10.\nAnswer: -3510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -11 (b) -2\/9 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*j - 50 - 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1155320 to the nearest 10000.\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11349 + 11349. Solve a = 8*b + b - 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/2 + 3. Let p = -5 + 4.95. Let c = p - 4.95. What is the biggest value in -3, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2470*t - 6371*t - 4194*t - 6196*t.\nAnswer: -19231*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71354 = 4*u + 3*l, -u + 29*l + 17846 = 31*l. List the prime factors of u.\nAnswer: 2, 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.958 - -0.042. Let q = -2 - -2. What is the biggest value in q, n, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 101?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/11)\/c)*c)**(-15) assuming c is positive.\nAnswer: c**(-525\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -2609b?\nAnswer: 260a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*o**2 - 300*o**2 - 105*o**2 + 5 - 13 + 200*o**2.\nAnswer: -6*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-60))\/4*6.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2702 + 2705. Let c(o) = 18*o**3 + 3. Let n(p) = -55*p**3 - 10. Calculate t*n(m) + 10*c(m).\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.31 and 0.0194.\nAnswer: -0.2906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/765 and -30 + 2052\/162 - -4*1.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f - 181 + 220 - 723 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1363 - -2a?\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 1098 - 909. List the prime factors of i.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 14 = -m, 2*m - l - 16 = -6*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3540 = -16*p + 2492. Which is bigger: p or 375?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 123727, 247453, 371179, 494905, 618631?\n\"Answer: 123726*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48 - 8178?\nAnswer: -81c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 245 - 252.4. Let x = s + 7.39998365. What is x rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*u - 8, 0*u + g + 13 = 4*u. Suppose -x = -u - 1. Factor -4*y**3 - x*y**3 + y**2 + y**2 + 2*y**4 + 2 - 8*y + 10*y**2.\nAnswer: 2*(y - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let h = -15 + l. Let p = h - -24. What is the remainder when 31 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 117. Suppose r + 108 = 2*m + 3*r, w*m - 117 = r. Suppose 0 = -3*z - 25 + 82. Calculate the greatest common factor of m and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 3:19 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 41 = 5*a, 0 = 5*a + 2*i + 289 - 322. Solve 2*u - 3*u = -a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1786*f + 891*f + 898*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 4*i**2 - 2*i - 4. Calculate the least common multiple of j(-4) and (-20)\/2 + 52\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*g - 4*g. Let d(r) be the third derivative of -r**2 + 1\/180*r**g + 1\/18*r**4 + 0 + 2\/9*r**3 + 0*r. Factor d(p).\nAnswer: (p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/3))**12*(d\/(d**(5\/6)\/d))\/(d*d*d\/(d\/(d\/d**(-9)*d))*d))**44)**(-23) assuming d is positive.\nAnswer: d**(14674\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3466*u. Let t(q) = 7362*q**2. What is x(t(p))?\nAnswer: 25516692*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*d + 255 + 141 - 44 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/7 - 2276*j**2 = 0?\nAnswer: 0, 7966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 smaller than 311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a day in minutes?\nAnswer: 19296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207 - -112. Let n = -193 + p. What is the greatest common factor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*s = -866*s + 3888 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1015570 and 58674.\nAnswer: -956896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 0.14. Let b = -3.97 - -4. Let k = -0.33 + b. What is the third biggest value in k, 3\/4, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-266))\/(5\/70) + 1107\/133. Is -1\/8 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*((-7)\/14)\/(3\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*30\/60?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 470\/(-282) + 358\/6. Which is bigger: 60 or o?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -10111100111101011?\nAnswer: 10111100111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10672*-18.02\nAnswer: -192309.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5881 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11576194, -23152385, -34728576?\nAnswer: -46304767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (31\/(-7) - -5)\/((-6)\/(-21)). Factor 0*a - 3\/2*a**2 - 1\/2*a**3 + w.\nAnswer: -(a - 1)*(a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243049948 is divided by 2608?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - -22. Let d be (j - (2 + -1)) + 1. Let o = 124 - d. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by (-6)\/39 - 1472\/(-104).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363 and 5241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339679.\nAnswer: 339679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 42, 9, 22, 1, 2 in increasing order.\nAnswer: -3, 1, 2, 9, 22, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 544, 5, 68\/3, 1, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + 5*f**3 - 4*f**3 + 2 - 2*f**3 - 2 + (2 - 2 - 2*f**2)*(5 + 2*f - 5) - 4*f**3 + 2*f**3 + 4*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) -2 (b) -18 (c) 2271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*(sqrt(153) + 1 + sqrt(153) + sqrt(17)) - ((sqrt(136) - 3*sqrt(136))*4 - sqrt(136))\/sqrt(8)))**2 + 0.\nAnswer: 102*sqrt(17) + 44218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 7. Let t be o(-6). Let m(v) be the second derivative of 0 - 3*v + 1\/6*v**3 + 3\/2*v**2. What is m(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/22)\/((-28)\/6314*41)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6807023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43673236.\nAnswer: 2, 71, 103, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2145 = 4*q. Let f(w) = 5*w**2 + 12*w + 14. Let a be f(6). Let k = q - a. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/62 - 145\/434. Let w = -20 - -19.8. Let h = 109\/2 - 53. Which is the closest to t? (a) h (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 12:58 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60.65 or 8\/93?\nAnswer: 8\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, x: 7}. Give prob of sequence xn.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.089 * 0.292\nAnswer: 0.025988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.9 * 42217.4.\nAnswer: -629039.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -82? (a) 7\/2 (b) -22 (c) 0 (d) 0.2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53857 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5877954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2747028 is divided by 851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -10 + (14 - 12) + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 43746\nAnswer: -524952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193.773um in millimeters?\nAnswer: 1.193773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y. Let x be p(2). Let t be (3\/(-3))\/(2\/(-28)). Let n = t + x. Find the common denominator of -27\/2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.983871 to two decimal places.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141 - (-5 + 7 + (0 - 1) + -3 + 16).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3858867 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, 2.2, -5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 25. Let s(r) = -36*r + 850. Let p(d) = -204*k(d) + 6*s(d). Let q(w) = 3*w + w - 5*w. Determine q(p(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-1)\/(-9)*(-2)\/(48140\/(-522)).\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2*n**3\/3 + n**2 - n - 1. Let m be q(1). Sort 5, m, -1 in increasing order.\nAnswer: -1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45145436 and 3236.\nAnswer: 45145436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6483 (b) -0.5 (c) -3 (d) -0.05 (e) -0.2 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.232 - 8.561. Let t = 0.0229 + -3.8529. Let y = o + t. Round y to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 2. Let p be b(4). Let q be (0 - 1) + p - -5. Suppose a = 3*y - q*y + 3, 2 = -2*y. Solve -u + a = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 54 = -2*h - 0*i, i = -4*h + 63. Suppose 5*l + 15 = 75. Differentiate -9 - 2*u + h - l with respect to u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3632 + 232 = 21*g. Let k be (g\/(-253))\/((-4)\/22). Solve 2*d = -k*d + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 531 + -589.6. Let j = -50.9 - 8.1. Let m = u - j. Which is the third smallest value? (a) -1 (b) m (c) -0.024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*r**2 - r**4 - 26*r**2 - 3*r**3 + 53*r**2 - 8 + 2*r**3 as t + d*r**3 + k*r + h*r**4 + u*r**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4649 is divided by 1160.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1259, 5047, 11361, 20201, 31567, 45459, 61877?\nAnswer: 80821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (14 - 19) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 78.3?\nAnswer: 23.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b - 689. What is h(-134)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2826995 divided by -5\nAnswer: 565399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006176 to six decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f + 0*f)*(2*f**2 - 10730*f + 10792*f + f**2 + 2*f**4).\nAnswer: 4*f**5 + 6*f**3 + 124*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -167, -207, -251?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -605*b - 610*b + 3 + 1268*b to the form o + x*b and give x.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.5 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -657320 divided by -131464?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 - -119. Suppose 2*n - 1 = 5. Find the third derivative of w**6 - 3*w**6 - 3*w**2 + n*w**6 - 5*w**m wrt w.\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, u: 9}. What is prob of sequence uoou?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by 25.\nAnswer: -83\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 - -123. Let l(b) be the third derivative of 0*b**6 + 0*b**a + 2*b**2 + 0 - 1\/6*b**3 + 0*b + 2\/105*b**7 + 0*b**4. Differentiate l(q) wrt q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -14.24. Let l = 76949 + -76949.2. What is the closest to l in c, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-120) + 2)*(-3 - 0)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90524\/2533 + 608\/17. What is the third smallest value in 2, -1\/3, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -726, -1580, -2730, -4152, -5822, -7716?\nAnswer: -9810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 3*k - k)*(-109 + 3*k + 48 + 173).\nAnswer: 3*k**2 + 112*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1. Let k(u) = -4*u + 1. Let s(q) = q**2 + 3*q - 5. Let o be s(-4). Let w(f) = o*k(f) + 5*r(f). Calculate w(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.54913967 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*k**6 - 146*k**2 wrt k.\nAnswer: -11040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4\/5 + 42*z**3\/5 + 159*z**2\/5 + 24*z = 0 for z.\nAnswer: -8, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -3 (c) -4\/109 (d) -0.015 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 877832 and 11032?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82116714?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 565*q**3 - 17*q**2 - 14*q + 1. Give j(-1).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 28 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56209, -2\/5, -3\/8 in descending order.\nAnswer: 56209, -3\/8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 101*l**2 + 0*l - 97*l**2 + 10 + 0*l + 8*l. Suppose 4*k + 12 = -2*s, 8*s - 4*s = 2*k - 14. List the prime factors of i(s).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -18*y + 161 - 17 - 6*y. Let p be g(6). Solve -b + 24 - 19 = p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6738 rounded to 2 decimal places?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9 = -1. Calculate the lowest common multiple of (-40)\/6*(-3)\/i and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**3 + 207*a**2 - 510*a - 5544 = 0.\nAnswer: -4, 7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -7\/24*n**4 - 5\/6*n**3 + 0*n**5 - 1\/105*n**7 + 0 + 3\/40*n**6 - 44*n**2 + 0*n. What is the second derivative of l(f) wrt f?\nAnswer: -24*f**2 + 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 1. Let t(u) = -u. Suppose 5*d - 18 = 3*l, 5*l - l + 3*d - 5 = 0. Suppose -2*q - 1 = -3*q. Give l*t(r) + q*i(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 1310 = 1343 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 2*m - 2. Let f(o) = o - 1. Let s(z) = 4*f(z) - 2*y(z). Let k(p) = -4*p**2. Calculate k(s(h)).\nAnswer: -64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34661 * 55.07.\nAnswer: -1908781.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*y - 2. Factor 1 + y + 2*r + 440*r**2 - 444*r**2.\nAnswer: -2*(r - 1)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*u - 30*u - 62*u + 8*u - 31*u.\nAnswer: -122*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17479 = -19*z + 148486. Is 108 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41\/175 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let c(b) = 4*b**2 + 2*b - 1. Let d(a) = a**2 + a - 1. Let f(h) = c(h) - 3*d(h). Let n be f(2). Let y(q) = 0*q - 8*q + q + n*q. Give y(s(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 43, 0.\nAnswer: -35, 0, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 979*w**3 - 5 - 970*w**3 - 2 wrt w?\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3*z - 285 = 0, 2*u - 124 = -6*z + 61 + 38 - 33 for u.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-6*(sqrt(88)*-2 + sqrt(88)) + sqrt(88) - sqrt(88) - sqrt(88))\/((sqrt(288) - 2*sqrt(288)) + sqrt(8)))**2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -4, 0.4, -4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 4*h + 3. Let l be x(-6). Let s be -4 + (-87)\/l + (-2)\/3. Solve s*t = 0, 3*t - 4*t + 5 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -2\/15*c**5 + 1\/3*c**4 + 0*c**2 - 2\/9*c**3 + 0*c + 1. Factor k(f).\nAnswer: -2*f**2*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/3)\/y**(1\/7) assuming y is positive.\nAnswer: y**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**44)**(-1\/24)*((j*j\/(j**0*j)*j)**(16\/7))**(-2\/17) assuming j is positive.\nAnswer: j**(-64\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*q + 20 = 0, -4*p + 7*q - 4*q = -16. What is the units digit of 27332\/20 + (-126)\/35 + p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 76*d + 71*d - 53, h + 9*d = -66 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10904729*g**2 - 32714288*g**2 + 10904780*g**2 + 10904777*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:26 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/21*33333)\/(6 + -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 67 - (-9 - (7 + -8) - 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 255\/526256 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8376\/3192 - 7\/399*3) + -4 + 0\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b = -19*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 6*d + 2*d**2 + 0*d + 3 + d**3. Is t(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5275584 divided by -15336?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 23*n**3 - 1 - 20*n**3 + 4 + n. Let i(x) = -10*x**3 - x**2 - 4*x - 10. Let m(u) = 7*h(u) + 2*i(u). Give m(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823154 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 173*y**2 - 32344*y - 1277. Determine i(187).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1830\/(-345))\/(329\/7567)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 14*q - 121. Let t(w) be the second derivative of 7*w - 1\/10*w**2 + 32\/25*w**q + 0 - 3\/10*w**3 + 4\/5*w**5 - 1\/5*w**4. Let t(c) = 0. What is c?\nAnswer: -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 9*z - 1. Let r be j(10). Suppose 16*w + 61 = r. Solve -1 = 3*t + w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + (-5 - -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 3:16 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-8) - (0 - -2). Suppose p*q = -2*q. Sort -1, 4, q.\nAnswer: -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q - 1. Let a be (-6)\/(-2) + (-6)\/9*6. Let v(u) = -26*u + 2. Let h be v(a). Let b be 3 - (-7)\/(h\/(-8)). Give z(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1891 and 1098?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4160 + -2030. Let t = -227789\/36 - -101515\/12. Let u = b - t. Find the common denominator of -59\/5 and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2\/5 (c) -3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/25)\/((-2)\/40). Suppose -5*l - 3*x + 2 = -2, -5*x - o = -3*l. Find the third derivative of -5*u**l + 2*u**3 - 4*u**3 + u**2 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/11)\/a**(-1\/4)*(a**(-1))**37*(a\/(a**(5\/2)\/a*a)*a**2*a)\/((a\/((a*a*a**(-7))\/a))\/(a**(1\/7)*a)) assuming a is positive.\nAnswer: a**(-12717\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 200*f - 240*f - 1 - 15 - 8.\nAnswer: -40*f - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-12\/13)\/(w\/w**(-1\/5)*w))**(-1\/3))**1 assuming w is positive.\nAnswer: w**(203\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*j + 32, -2*j + 8 = -0*j - 2*o. Let b(u) = -5*u + 8 + 0*u**3 - 3*u**3 + 2*u**3 - 7*u**2 + 4*u**3. Is b(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) 0.1 (c) -11 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318 + 125*q - 318)*(q**4 + q**3 - q**3) + 0*q**4 + q**5 + 0*q**4 + (2*q**3 - 3*q + 3*q)*(-2*q**2 + 3*q**2 - 3*q**2) - 2*q**5 + 0*q**5 + 0*q**5.\nAnswer: 120*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 17 = -3*g - 3*z, -5*z = -3*g - 37. What is the second smallest value in -1\/5, 0.2, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -0.44. Let a = 4 + 0. What is the nearest to 0 in a, 2\/15, d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*t - 4 = 0, -u + 2 = 3*t - 4*t. What is the lowest common multiple of (-42)\/(-11) + 10\/55 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1173*l = 4165*l + 63761 - 264225 for l.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10138)\/(-145632) - (2\/(-164))\/((-5)\/20)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - 123) + 89 + 94.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 760280280 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7900194 hours in days?\nAnswer: 0.032917475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 + 6*k + 4*k to n*k + t and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**17*v*v)**37\/(v**(-5))**(-5\/4) assuming v is positive.\nAnswer: v**(2787\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h - 2*h + 8*h + 5 - 9*h to the form r + c*h and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1627*f**5 - 2799*f**4 - f**2 + 24343468*f?\nAnswer: 32540*f**3 - 33588*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i - 11277 - 11565 - 6234 - 32*i.\nAnswer: i - 29076","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91, -184, -277, -370?\n\"Answer: -93*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -234 + 77 + 79 + 77. Let q(o) = o - 3. Give -5*q(m) + 15*y(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*(-11)\/(44\/(-16))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 25*j**2 - 19*j - 13. What are the prime factors of l(7)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -986*p - 27657. What is v(-28)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/8*6*(-5180)\/105. Let p = -470 + f. Solve -5*v + p = 36 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d - 4*n - 8, d = -3*n - 10. Let i(t) = -t**3 - t**2 + t - 2. Let p be i(0). Sort d, 1, p in ascending order.\nAnswer: p, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33b (base 15) to base 9\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 36046433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -24, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*h + 339 = -2*m, m - 2*h - 113 = 0. List the prime factors of m.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1199 divided by -27\nAnswer: -1199\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1*7 + (-25 - (14550\/(-18))\/25).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -564, -569, -578, -591, -608?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07221587562 take away 3?\nAnswer: -3.07221587562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u + 16. Let i(t) = -3*t - 6. Let s(l) = 4*b(l) + 11*i(l). Let a = 37 - 17. Suppose -40 = -5*p + 5*z, -p + 3*z = p - a. Determine s(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 85*v**2 + 1569*v + 133316. What is c(-85)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -17)*8\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/12)\/8*144\/(-42)*7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -30.164138\nAnswer: -30.164138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m - m + 18*m + (-3 + 1 + 4)*(m + 3*m - 3*m) + 4*m + 0*m - 3*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 + 7*f)*(-257 - 203 + 368)*(4*f + 2*f**2 - 4*f) to the form q*f**2 + j + c*f + x*f**3 and give x.\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 46*d**2 + 1661*d + 195. Determine b(-36).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450524 is divided by 27602.\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 6*k**2 - 6*k + 2. Let z(i) = i**2 - i + 4. Let m be z(0). Let o be r(m). What is the highest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 20*z + 19*z + 160. Sort -1, 1\/174, z in descending order.\nAnswer: 1\/174, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:21 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 22*i = -2. Find the third derivative of -2*w**3 + 8*w**3 + 2 - 13 - w**i + 6 wrt w.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 63 - 2*a + 9*a - 113. Let n be m(17). Calculate the highest common divisor of n and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1341*c - 10553. Give k(-8).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/26, -126, 7476?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 167 (b) 0.06 (c) -1\/2 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1838 + -1815. Solve 28*a = s*a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.4582 and -456.\nAnswer: 3856.9392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 149*a - 2*a**5 + 146*a + 3*a**5 + 3*a**2)*(-5 + 5 - 2).\nAnswer: -2*a**5 - 6*a**2 + 6*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, q: 3, u: 1, f: 1, a: 3}. What is prob of sequence qu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 218*u**2 + 439*u - 156. Give i(220).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19453 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 14 + 70. What is the remainder when 23 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 13*c - 12. Let n be l(14). Suppose 4*j = 3*t + 5*j - 75, -40 = -n*t - 4*j. Let f = -13 + t. What is the remainder when 64 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 45836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*r + 176752979*r**2 - 176752980*r**2 + 35 + 377*r to c*r + j + z*r**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.925 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (24 - (7 + -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-8)\/1)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 22*l**2 + 1465*l - 32613. Determine g(23).\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48*u + 41*u - 38*u)*(1 - 3 + 0 + (2 + 3 - 3)*(2 + 2 - 3) + 2 + 1 + 0 + 5 - 3 - 4) as h*u + g and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*u + 1)*(-5 + 2 + 1) + 3*u + 3*u - u)*(1 - 3*u**2 - 1).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/3381 and 31\/5710187.\nAnswer: 119913927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 7*v**2 - 6*v - 2. Let g(t) = t + 3. Let z be g(4). Let x be w(z). What are the prime factors of x\/21 - 6\/(-14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = 5*b, -2*h + 0*h - 4*b = -4. Suppose c + 1 + h = 0. Let z = c - -3. Solve z*t = t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32632 and 9.\nAnswer: 293688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.13237 rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*z + 58 = 0, -42*t - 13*t - 6*z - 1194 = -2*t + 27*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2588 - -0.29540424.\nAnswer: -2587.70459576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -6029, -8?\nAnswer: -6029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**3\/6 + 32*g. Suppose j = -1 + 3. Let r(x) = 5*x**j - 3*x**2 + x**2. What is q(r(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 297019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*s = 55*s + 30. Let c(y) = -s*y + 7*y - 11 + y**2 + 2 + 10 + 9*y. What is c(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 1. Let w(a) = a - 5. Let x = 3066 + -3051. What is x*r(l) + 3*w(l)?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**3\/3 - 273. Let a(w) be the second derivative of 1\/3*w**3 + 0*w**2 + 0 - 2*w. Calculate a(u(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-368)\/138*(-2)\/((-20)\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15156 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17356443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*-4*((-2 + sqrt(13))*1 + (sqrt(637) + -1 + sqrt(637) - sqrt(637))**2 + -1).\nAnswer: -52*sqrt(13) + 2544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1557718, -3115408, -4673108, -6230824, -7788562?\nAnswer: -9346328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 2*w - 2. Let c be d(2). Let o(r) = -3*r + 2*r - 7 + 6 - 8*r**c. Suppose -6 = 5*l - 1. Calculate o(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.34 - 0. Let w = t + 0.04. Let g = -0.5 - 0.5. What is the third biggest value in -2, g, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1193 = p + d, 2*p + 5959 = 7*p + 3*d. Let m = p - -407. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 4 = -17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*t + 1 - 5624*t**2 - 5591*t**2 + 11217*t**2 - 3*t**3 as x + q*t**3 + f*t + c*t**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = 18. Let i = t + -18. Let q = i - -30. Solve k - 2 = q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7.3 and 0.337 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*w**4 + 3*w**3 + 375*w - 2*w**2 - 375*w to y*w**3 + q*w + b*w**4 + f*w**2 + h and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195718 is divided by 1591?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2652 + 20*r - 12*r + r + 0*r - 2647.\nAnswer: 9*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41409 - 23329. Which is smaller: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, a: 7}. What is prob of sequence aj?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16550991, -16550984, -16550973, -16550958, -16550939, -16550916?\n\"Answer: 2*s**2 + s - 16550994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 4083097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 5 - 1 + 9*p to m*p + q and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -3*f**4\/8 - 15*f**3\/2 + 595*f**2. Let u(b) = 2*b**2. Calculate x(u(h)).\nAnswer: -18*h**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53161, 106461, 159747, 213013, 266253, 319461?\nAnswer: 372631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/25 of a tonne?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 3. Suppose -z*o + 42 - 12 = -t, 2*o - 2*t = 12. Calculate the lowest common multiple of (-9)\/(9\/(-10))*(-14)\/(-35) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 3\/125 (c) -0.017\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 7702.268\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 683012641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 60*k + 120*k - 26 - 77*k. Let h be d(-15). Find v such that -78 + 78 + h*v**3 - 10*v**4 - 6*v**5 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 18, 1049.\nAnswer: -4, 5, 18, 1049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6718 - 6636. Calculate the remainder when f is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (3 + -1 - 2). Let d(n) = 2*n + 7. Let w be d(-5). Let y = g - w. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1350 = 3*w + 3*n - 1398, 2*n = 2*w - 28 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112*g**3*r**3 - g**2 - 69*r**3 wrt g.\nAnswer: -672*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 96*p + 1694. Give o(71).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3103545 (base 6) to base 13\nAnswer: -5283b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1097.46*-0.9\nAnswer: 987.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2*j**3 + 4*j**3)*(-2 + 19 - 5 - j).\nAnswer: -5*j**4 + 60*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 336, 385, 448, 525?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 402 = 5*t - 162, -4*c + 157 = 3*t. List the prime factors of c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 10*v - 16. Let g be z(-11). Let b be ((-2)\/(-8))\/(g + 33726\/6744). Let o = b - 134. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423758 times 13.5?\nAnswer: -5720733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10397\/3030 - 199\/1515. Factor c - 4\/5*w - 1\/10*w**2.\nAnswer: -(w - 3)*(w + 11)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*g**3 + 252*g**2 + 42*g**3 + 15*g**3 - 17*g**4 wrt g.\nAnswer: -408*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148 + 154. Is (-613)\/2*(-1)\/(s\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 25*p + 11 - 13*p - 7*p - 6*p + p**3 + 7*p**2. Calculate v(-8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyggtgutunggntyu. Give prob of picking 1 y and 1 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -27 - (-2 + -1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1497908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.65131 - 0.05131. Let x = -0.5 + -1.1. Let m = l + x. What is the nearest to m in 4, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412966327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 7*p + 8. Let j be v(6). Suppose -j*a + 34 = -a - g, -3*a + g + 96 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/13 - 114532*j**3\/13 + 8806*j**2 + 2977732*j\/13 + 211440 = 0. What is j?\nAnswer: -4, -1, 6, 57265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 280\/315*6\/32*-3. Sort -5, -155\/6, f in increasing order.\nAnswer: -155\/6, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0081305388 to five decimal places.\nAnswer: -0.00813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.1 (c) 0.01 (d) -5172\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3212 (b) 201\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13135*l + 53772 + 668653 = 0 for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*m + r, m + 0*r + 8 = -2*r. Let g be 26\/14 - m - 24\/(-168). Suppose g*s + 2 = -10. Which is smaller: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**3\/3 + 3*y**2\/2 - 3*y + 19. Suppose 0 = 5*u - 0*u - 10. Determine c(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 21*g**2 - 30*g + 122. List the prime factors of r(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/60879 and -95\/1911.\nAnswer: 426153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 81 = 247*r - 245*r, 2*r - 51 = f for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7485\/22 + -341. Calculate the common denominator of i and 77\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from xmynfmj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*s = -69*s + 13*t - 11, 3*s = 2*s + 25*t - 47 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8 = -3*q. Let a be 10\/q - 33\/(-22). Find k such that 34*k**4 - 40*k**3 + 20*k**2 + 3 - a*k**4 - 8*k**5 - 5 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19662848 and -4.88.\nAnswer: 19662843.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 25 = 5*l, -g + 4*g - 11 = l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*a**3 + 1888*a**3 - 2856*a**3.\nAnswer: -602*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 3*p + 9*p**2 - 4 + 3 + 2*p**2 + 0. Let v(w) = w**3 - 4*w**2 - 15*w + 43. Let x be v(5). List the prime factors of g(x).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*f - 29*f - 31*f - 61*f - 25*f.\nAnswer: 81*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 888083 + 295693 = 27*p + 21*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 107*t**2 - 16*t - 9. List the prime factors of m(10).\nAnswer: 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43\/36 - -661\/36. What is the common denominator of k and (-1)\/(-2) + 1 + 279\/(-24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/5))**1\/(t**(-6)*t\/((t\/t**(2\/3))\/t)))**(9\/5) assuming t is positive.\nAnswer: t**(231\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293672605.\nAnswer: 5, 61, 962861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 209074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = 22*k - 18*s - 58, 3*s = -k + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.22 + 15.22. What is the second biggest value in 0.5, -99, s, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-923) + (-24976)\/(-568)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 42468 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q, -145*m + 1114 = -141*m + 5*q. Calculate the remainder when m is divided by 62.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3669316, 3669336, 3669380, 3669460, 3669588, 3669776, 3670036?\n\"Answer: 2*c**3 + 6*c + 3669308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(300) + 2 + (sqrt(300) - (sqrt(300) + -1))*2.\nAnswer: -20*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.3 - -5. Let y = 351.618 - 352. Let g = y + -0.118. Which is the second smallest value? (a) g (b) -1 (c) x (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by -26.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67776217673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {u: 2, z: 3, h: 2, x: 9}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*k = -24, 3*f + f - 28 = k. Let z = 13 - f. Let g = 63 - 67. Which is the smallest value? (a) z (b) g (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 974 = -5*m + 74, 0 = b - 2*m + 262. Let h = 682 - b. Let v = h + -653. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 8}. Give prob of sequence auua.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 15*u - 10*u. Suppose 4*o + 12 = -0*o - 2*n, -u*o + n - 18 = 0. Which is the nearest to 11? (a) o (b) 1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50625577841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4*28\/(-40))\/(107\/535)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -270 in 7, -5, 1\/36?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - 2*c**3 + 0*c**3 + (-c + 2*c - 3*c)*(-3*c**2 + 4*c**2 - 7*c**2) + (3*c**2 - 4*c**2 + 3*c**2)*(0 - 2*c + 0) - 2*c**3 - c**3 + 0*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/8460090 and 11\/2010?\nAnswer: 8460090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397040?\nAnswer: 2, 5, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122531904 divided by 664.\nAnswer: -184536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55 in -34, 0.5, 3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 73 = -12*p - 70, 384*p = 370*p - 4*k - 132 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18543855 a multiple of 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2845 + 13*r + 5688 - 5*r - 402*r**2 - 2843 to a*r**2 + y*r + q and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1184\/2331 + 4\/(-18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 291*m - 73*m + 146*m - 71*m + 304*m to l + q*m and give q.\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, 5, 178, -2\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**3 + 2*j**2 - 3*j + 1. Let z be i(1). Solve 12 = -0*g - z*g - 4*u, 0 = 4*g + 3*u + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 122\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from lllagaalhglgl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67925635 to the power of 1\/2, to the nearest integer?\nAnswer: 8242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 12. What is z(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59846 and 330454?\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84303739 is divided by 1807?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 498\/(-9))\/(-2) - (1972\/102)\/(-29).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*c**3 - 3770*c**2 + 12363*c - 2700.\nAnswer: -(c - 3)*(c + 225)*(17*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4327040 divided by 216352?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b**(-1)*b)))\/b)\/b)**(-15)\/((b\/(b*b*b*b**(-4)*b*b))\/b**(5\/2)) assuming b is positive.\nAnswer: b**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -508, -763, -1018, -1273?\nAnswer: -1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.6 + -1.4. What is the second biggest value in n, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -97*d - 776. Let z be q(-8). Solve 3*y = -o - 4*o - 23, 5*y - 2*o - 3 = z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9681332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9 - 212954*p**2 + 106473*p**2 - 20*p + 106482*p**2 + 13. Determine j(5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - 13\/(-3). Let d(y) be the first derivative of -y**4\/4 + 4*y**3\/3 + y**2\/2 + 2*y - 62. Calculate the lowest common multiple of d(h) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127210 is divided by 125243?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -4*y - 90 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 25052\/66011?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 439*z = 436*z - 29, 3*g + 3*z = -9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 236066 divided by 1\nAnswer: 236066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 p when three letters picked without replacement from qzpvzzvxpzzqzq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 4. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 e when four letters picked without replacement from rerrrrrrrrrrrrrreerr?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1326)\/(-136))\/(3\/4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*x - 2*x**3 - 39*x)*(-14 + 12 + 3 + 3*x).\nAnswer: -6*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 4:08 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -14. Let x = 2.05 + -0.05. Which is the closest to -0.2? (a) x (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -404.\nAnswer: -5\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2b0762 (base 16) to base 14\nAnswer: -535962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -366 + 330. What is the remainder when 0 - -116 - 6\/x*-30 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 12. Let g be 5\/(q\/(-4)) - -6. Suppose -4*i - 4 + 28 = g*y, 0 = -4*i - 3*y + 24. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -8. Suppose -2*i = 10, 0*j + 5*j - 540 = i. Let u = j + a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2463 + 156500475649\nAnswer: 156500478112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013513493 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**3\/3 + 3*d**2 - 33. Let n(a) = -a**2 + 3*a. Calculate 3*g(m) - 5*n(m).\nAnswer: 2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22261 = r + 2*b, 6*r - 2*r - b - 89017 = 0. Let m = r - 9909. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130539 (base 10) in base 6?\nAnswer: 2444203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 22*h**2 + h + 29. Is k(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000831 rounded to 5 decimal places?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + 2*y)*(1 + 2 - 1) - 3*y + 2*y + 3*y + 694*y - 344*y - 341*y + 6 - 1.\nAnswer: 15*y + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 12 = -u, 270 - 310 = -5*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v*v**(-3)*v)))**27)**(-3) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89478272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 1, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-76)\/(-112) - (-2)\/(-8). What is the closest to -0.1 in -5, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**6)**6\/(c\/(c**(-5)*c))**(-8\/5))**(-49) assuming c is positive.\nAnswer: c**(-2744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -382 + 390. Calculate the lowest common multiple of 20 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088) + -2)*2 + 4)*-5)**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25580 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -7.6 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 2*s**3\/33 - 2*s**2\/11 - 6*s\/11 - 21. Suppose z(r) = 0. What is r?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 25003 = 4*a, 3*a - t - 4*t = 18796. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 - 254. Let d = -74 - i. Let k = -44 + d. What is the biggest value in 0.1, k, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 0*n + 1\/24*n**4 + 1\/6*n**5 + 0 + 28*n**2 + 19\/6*n**3. Is a(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -652 = -7*w + 3*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 + -13.1. Let i = f - -19. Sort i, 0, -6 in increasing order.\nAnswer: -6, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 14. Suppose -k*g - 550 = -0*g. Let h be 16\/20 - g\/(-75). Which is the second biggest value? (a) 2 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 not equal to 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/216 and -121\/819396?\nAnswer: 1638792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 7:37 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 3305343*g**2 - 910482344352*g - 22759992816300.\nAnswer: -3*(g + 25)*(g + 550878)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 243431 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 - 2*i**2 + 2*i + 3*i**2 + 3*i**3 - 2*i**3 to the form w*i**2 + l*i + a + f*i**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 2*i - 7*i)*(3 - 6 - 1)*(-3 + 0 + 2) - 5 + 26*i + 12 - 5 as j*i + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -154, -302, -450, -598?\n\"Answer: -148*g + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/18)\/((-5)\/310). Suppose -h*s + 86*s = 49. Let a(c) = -c**2 + c - 1. Let d(k) = 5*k**2 - 14*k + 11. Let q(y) = 6*a(y) + d(y). What is q(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2)*r**(-5\/3)*(r*r\/(r*r*r\/r**(1\/7)))\/r**3 assuming r is positive.\nAnswer: r**(-158\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*d - 14. Suppose d*b = 11 + 9. Suppose b*c - 34 - 14 = 0. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2129142.06 - 3.\nAnswer: -2129145.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 2:20 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**5\/2 + 48*f**4 - 237*f**3 - 624*f**2 - 675*f\/2 = 0.\nAnswer: -1, 0, 9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 1481 - 359. List the prime factors of y.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-33) - (484440\/(-7623) + 12\/126 - -7).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32\/23 + 654\/437. Suppose 18 = -2*n + 2*a, -n + 3*a - 2 - 1 = 0. Let m(p) = p**2 + 11*p - 12. Let u be m(n). Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 + 74*g - 23. Let m be t(-22). Let h = 3137\/11 - m. Which is the nearest to 5? (a) -6 (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6474 divided by -166?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 - 1786563*h**4 + 6*h**2 + 47712 wrt h?\nAnswer: -120*h**2 - 42877512*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-6))\/1)\/((-4)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 423642975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52 and -2714.\nAnswer: -141128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 55\/50 + 1\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52125 by -2085.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365977?\nAnswer: 1365977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) + sqrt(432) + sqrt(432) + 3)*-3 + 4*(2 + sqrt(432)) + (-1 + sqrt(432) + 2 - (-3 + (sqrt(432) + -4*sqrt(432) - sqrt(432)))))*2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 3*k**2 - 3*k - 4. Let a be i(4). Let s(o) = -o**2 + 5*o. Let j be s(5). Let m be (j - (1 + -1)) + a. Solve m*p = p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z**3 - 2*z + 1. Let k be 6\/(-12)*4 - -6. Suppose -4*u - 2*c + 0 = 2, 8 = -4*u - k*c. What is l(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*((sqrt(75) + 1 + -5 + sqrt(75) - sqrt(75) - (-1*sqrt(75) + 2 + sqrt(75))) + -3 + sqrt(75) + (0 + sqrt(75))*6)**2 + 0.\nAnswer: -2160*sqrt(3) + 14640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((1 + sqrt(847) - sqrt(847)) + 5)**2 + 0 + 2*(-3 + (sqrt(847) + 2)**2))*4)*2.\nAnswer: 704*sqrt(7) + 13858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20761078 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 4, 164, 23, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from puuuupp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4355 - 322 = -3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14708, 14696, 14682, 14666, 14648?\n\"Answer: -w**2 - 9*w + 14718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 17*y - 27. Let n(f) = 2*f**2 + 33*f - 55. Let t(k) = 3*n(k) - 5*s(k). List the prime factors of t(-25).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 6. Let n be 14*(0 + 6\/7). Let z = -3 + n. Solve -31 = -0*v + u*v - 5*m, 2*v = -3*m + z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200.72 - 200.82. Let u = -10 + 14. Let v = u - 7. What is the nearest to x in -0.1, 0.4, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1449 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/36)\/((-20)\/(-15)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009106 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240.16129 + 0.19759. Let b = q - -240. Round b to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 53896041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) 2\/17 (c) -1\/3 (d) -5\/6 (e) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - m + 2. Let d be l(0). Suppose -d*s + 40 = 3*s + 5*y, 22 = -s + 5*y. Solve 0 = -3*a + j - 15, 2*j - s*j + 3 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -3, -40, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-4 - -4). Suppose 25*n - 19*n = k. Let z = -0.53 + 0.03. What is the nearest to n in -2, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**3 + w**3 + 2*w**3)*(-3*w + 0 + 0)*(4 + 1 - 1) to b + m*w**2 + j*w + f*w**3 + r*w**4 and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67505221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -232\/199705?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*y**2 + 15*y**2 + 16 - 4 + 4*y - 13 in the form a + h*y**2 + i*y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*h*q - 2*d**3*q + 15857*d**3 - d**2*h*q - 239*d**2*h + 26*d**2*q + 4*h with respect to h.\nAnswer: d**3*q - d**2*q - 239*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-740)\/(-111)*(-3)\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12262787.91199907 + -12262788. Let t = 0.088 + y. What is t rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47199*z**2 - 23596*z**2 - 23590*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32\/349 + 1242\/5933. Let z = 3 - 3. Which is the closest to -3\/4? (a) -3 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*h**4 + 19*h*k**3 + k**3 - 166 wrt h.\nAnswer: -40*h**3 + 19*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14 + -24)\/((-2)\/3). Factor -76 + 5*j**2 - q - 25*j + 20 - 49.\nAnswer: 5*(j - 8)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2567834 to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16052 divided by 4013.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 6. Suppose 6 = 2*u - 3*y - d, -y + 1 = u. Let j be 1\/((-18)\/50 + 2\/u). Solve 0 = 2*l + 3*l + j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4)**(7\/2)*(c**(1\/2))**23)**(4\/29) assuming c is positive.\nAnswer: c**(102\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5037.\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 4*o**2 - 3*o + 3. Suppose -6*s + 51 = -69. Suppose -2*v + 14 - s = 0. Let l be b(v). Solve -2*i + 10 = 0, t = -2*i + 15 - l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2934*c + 1284*c + 241011 = 267*c for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*x = -9, 5*a + 3*x = 4*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -162 - -167. Is p less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55703, -111408, -167113, -222818, -278523, -334228?\nAnswer: -389933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, b: 2}. What is prob of sequence bb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (266 - 575 + 243)*(-7*d**2 - 5*d**2 - 20*d**2).\nAnswer: 2112*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15))**(-10) assuming q is positive.\nAnswer: q**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 11, -1, 3, 0 in ascending order.\nAnswer: -1, 0, 3, 11, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/1069, 1, -1020, -1, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 330*r**2 - 59544*r + 117760.\nAnswer: (r - 128)*(r - 2)*(r + 460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/39490 and -77\/7180.\nAnswer: 78980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15282 is divided by 5088.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 791971390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 192*u + 1667. Let y be i(9). Let f(c) be the third derivative of 23*c**4\/24 + 13*c**3\/2 + 2*c**2. Is f(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1135773 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/368 (b) 5 (c) -5 (d) 2\/9 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -183679.96338 to the nearest one thousand.\nAnswer: -184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*f - 662 = 388*f + 2094 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l. Suppose t = 3*t - 16. Let q be h(t). Let k be (4\/8)\/(2\/q). Solve -5*u + 2 + k = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152320 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93620 and 558.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6984.33 to the nearest one hundred.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/256 and 63\/512.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167624 is divided by 83800?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-10))\/((-175)\/5541375) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 + 1051\/10. Let s = m - -71\/90. Let k = 1\/56 - 129\/952. Which is the closest to k? (a) 0.2 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*n**4 - 256*n**3 - 261*n**3 - 2*n**2 + 2*n + 518*n**3 in the form r + x*n**3 + g*n**2 + b*n**4 + z*n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146511?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (-113 - (-17 + -124))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 704832 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11498, 11495, 11490, 11483, 11474, 11463?\nAnswer: 11450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 4. Let x(q) = -8*q + d*q**2 - 7 - 4*q + q - 5*q**2. What is the remainder when 11 is divided by x(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4513, -9027, -13541, -18055?\n\"Answer: -4514*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + -1*sqrt(2736)*5.\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4cc + 120710?\nAnswer: 120bdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1076 or -0.117?\nAnswer: -0.117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1390*y - 47. Is q(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 468, 1054, 1874, 2928, 4216?\nAnswer: 5738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -746280 divided by -5?\nAnswer: 149256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 17. Let b(h) = 17*h + 76. Let c(d) = -2*b(d) - 9*w(d). Suppose 0 = -3*a + 2*a - 5. Give c(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/10)\/((-102)\/13260)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -15, 5*c = 33*z - 32*z + 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -272881500 rounded to the nearest one hundred thousand?\nAnswer: -272900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.296783899 rounded to three dps?\nAnswer: 2.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619 divided by -18327?\nAnswer: -1619\/18327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.855894 days in nanoseconds?\nAnswer: 592349241600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**2 + 5*b**2 + 4*b**2 - 2*b**2 in the form t*b + d*b**2 + x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33833, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*z**3 - 1251981*z**2 + 19*z + 1251981*z**2 to the form j*z**2 + n*z**3 + d + r*z and give n.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002360662058 rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 31 (c) -56 (d) -9 (e) -2 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 2*a - 4*m, -3*a - 3*m - 2258 = -2285 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 6*l - 2. Give z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68680\/240331 + 2\/34333. Sort y, -1\/3, 13.2.\nAnswer: -1\/3, y, 13.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhkk when four letters picked without replacement from hkkkllkkhlhhlh.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 12*j - 10. Let n be y(7). Which is the second biggest value? (a) -2 (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*k = -12*i - 74, -2*k = -4*i - 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*l - 3175*l**2 - 346*l - 354*l**2 + 166*l.\nAnswer: -3529*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*n + 13*n = 14, 5*a - 11 = 4*n. Solve 2*h - 18 = 2*w, -3 + 6 = -3*w - a*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1398 and (-3)\/2 + 72\/(-216).\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12073 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) + sqrt(14)\/(sqrt(847) - sqrt(7))).\nAnswer: 10*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 6*q**2 + 3*q - 15. Calculate the remainder when 67 is divided by x(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.11 and -3?\nAnswer: -3.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2960 + -1410. Let j = 3477 - k. List the prime factors of j.\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/46518491?\nAnswer: -1\/46518491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11603838*x**6 - 19*x**2 - 17266*x - 75.\nAnswer: -1392460560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 2, o: 3, g: 1, d: 2, m: 2}. Give prob of sequence om.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1078*u - 39895. Give p(-37).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1416)\/(-96) - 19 - 3*-1\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410163305.\nAnswer: 5, 431, 190331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 + 19 - 4 - 17*l**2 - 1 to the form h*l**3 + c*l**2 + f + y*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 755102809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 649633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 6*o - 6. Let q be 10 - ((-6)\/6 - o). Solve 3*d + d = -q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*m - 11*m. Suppose m = 41*c - 15*c - 416. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 3:42 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 36*l - 275. What is the remainder when 76 is divided by x(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmmk when four letters picked without replacement from {m: 3, k: 9}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(6)*-6 - (sqrt(32) + 0 + sqrt(32) + -3))**2.\nAnswer: -192*sqrt(2) + 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 643840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 45 = 14*q. Suppose 4*a - 5*i = 1344, 0 = -a - q*i + 10*i + 351. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6404599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9120140 is divided by 253337.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-6)\/(12\/(-6)). What is the first derivative of 0*r**3 - 47 - 3*r**3 + 11*r**4 + 3*r**q wrt r?\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1363522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 546.\nAnswer: -1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 32*q = -5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/159 and -21\/10.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 196 and 32648.\nAnswer: 228536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-5))\/((-44)\/(-55))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 105 - 9. Calculate the remainder when 79 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -66. Let z = 1097 + -1024. Suppose -78*v - 5 = -z*v - f, 0 = 4*f. Does v = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -77356 (b) -1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((8 - -1) + (-57 - -53))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(3 + z - 3) - 24*z + 809 - 809 + (1 - 1 + 2*z)*(-3 + 3 + 3)*(-11 + 0 + 0) + 3 - 3 - 2*z to o + d*z and give d.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 + -0.129944. What is a 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 hundred thousands digit of 47114252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:42 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805382.\nAnswer: 2, 402691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 993 - -2427. Calculate the lowest common multiple of z and 14.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -11.45. Let z = x + -0.15. Which is the third biggest value? (a) 0.5 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4489209 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 91. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -28228*m - 84684. Let z be j(-3). Solve 9*y - 3\/2*y**2 - 6*y**3 + z - 3\/2*y**4 = 0 for y.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-96)\/9*(-4395)\/10 - -2.\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30200002 (base 4) to base 14\nAnswer: -14934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 - 6*a + 25. Let u be o(0). Let z be (-1)\/(1 + 8\/(-10)). Calculate the remainder when 5\/u + (-379)\/z is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -114*u**2 + 8688*u + 8690. Determine o(-1).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 36\/30)*-980. Let s = k + 1673. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7*(-7)\/(-147))\/(13\/(-6))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-7\/3))**46*r*r**18\/r*r*r*r**(-10) assuming r is positive.\nAnswer: r**(490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*j + 8 = -3*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Suppose 0 = 4*v - r - 12. Solve 0 = -v*o - 0*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -53*a**3 - 2*a + 14. Let m(o) = 3*o**3 + o - 2. Calculate 4*m(x) + s(x).\nAnswer: -41*x**3 + 2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123795783 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-126)\/140*(-5)\/12. Put 2, w, 1\/4 in increasing order.\nAnswer: 1\/4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 4*h + 10. Let x = -47 - -47. Is t(x) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, 1\/7, -224, -66, 7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(-20 + 2*f + 20) - 1 + 2*f + 2 - 2)*(2 - 1 + 3)*(f + 0*f - 3*f)*(-f + 3*f - 3*f).\nAnswer: 48*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010101001100 (base 2) to base 12.\nAnswer: 29b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-25 - -9) + 13 + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 4*g + 15. Suppose -l = 5 - g. What is the units digit of 3 - 5\/((-5)\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 30*b - 12 = 0. Suppose 3 = -0*h + 4*h + 3*y, b*h - 5*y + 5 = 0. Solve -3*j = -h*j - 4*x + 11, 2*j + 3*x - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 plus -0.2399?\nAnswer: 0.8601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -2.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744012 is divided by 771.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7694, -15402, -23098, -30776, -38430, -46054, -53642?\nAnswer: -61188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 17568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by 32.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frr when three letters picked without replacement from {r: 2, f: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*d - 4*g + 60 = -394*d, -4*d - 13*g + 192 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)\/sqrt(4))**2 + (sqrt(13) + -1)*-6 - (1 + sqrt(468) - (-1*sqrt(117))\/sqrt(9)).\nAnswer: -13*sqrt(13) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1001*t**3 - 4*t**2 + 8. Let j(m) = -2272268*m**3 + 9081*m**2 - 18162. What is 4*j(s) + 9081*n(s)?\nAnswer: 1009*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28077, 28819, 29577, 30357, 31165, 32007?\nAnswer: 32889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 + (-16)\/10. Let p(k) be the third derivative of k**6\/120 + k**5\/60 - k**4\/24 + k**3\/3 + 2*k**2 + 58*k. Calculate p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1122 - 0.0522. Let z = 1 + -1.04. Let q = z - l. Is -1 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 7366522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00350298 rounded to four decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1620)\/102 - 184\/1564\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9931*i**2 + 13*i - 1. Let x be v(9). Let s be x\/(-70) + -4 - 3. Let c = s + -11478. What is the common denominator of -41\/16 and c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 86\/(-7) + (-8)\/(-28). Let t be (3 - 4)*(1 + -72). Let c = l + t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1809 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 17. Let j(o) = -10 + p + 0 - 6*o + 6. Let n(x) = -x**3 - 4*x**2 + 5*x + 1. Let a be n(-5). What is j(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263*c**2 - 184321*c**3 + 94*c**2 + 184344*c**3 wrt c?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-210)\/75)\/((-2)\/(-5)). Solve -8\/3*w - i*w**2 + 4\/3*w**3 + 8\/3 + 2\/3*w**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u\/(u*u\/(u*u\/(u**1*u)))))**29)**(1\/25) assuming u is positive.\nAnswer: u**(29\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135158 or -135157?\nAnswer: -135158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 2*m**2 + m. Let v be g(-1). Suppose -2*o = 4*h - v, 7*o - 2*o - 5 = 0. Determine d, given that h - 2\/3*d**4 + 0*d + 2\/3*d**3 + 0*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v - 2. Let j(a) = -a**2 + 6*a - 6. Let w be j(5). Calculate z(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 5, g: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 6 + 0 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 5*d + 2. Let h be o(5). Let x(p) = 3*p**2 + p - 8. Let w be x(3). Find the second derivative of h*i + 25*i**2 + 3*i - w*i**2 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5658604.124 - -3?\nAnswer: -5658601.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.461 and -4?\nAnswer: -1.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*w**4 - 6651*w**3 - 4*w**2 - 1515997*w wrt w.\nAnswer: 72*w**2 - 39906*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 0 + -6 + 43257015. Let d = -26657012 + j. What is d rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872684543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6142381837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**2 - 101*k + 101*k - 2 + k**2 + 2 + (4 - 4 - 2)*(2*k**2 - 2*k + 2*k) + 2*k**2 + 2*k**2 - 5*k**2 in the form q + f*k + c*k**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 220. Let f = 227.141 - v. Let k = 1.859 + f. Which is the second smallest value? (a) k (b) -1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546678 is divided by 447?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7170 + -7154. Let s = 112 - 32. Calculate the least common multiple of s and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 + 12*x**5 - 5*x**5 - 7*x + 7*x - 2*x**5 + (3*x**4 + x**4 - 2*x**4)*(-x - 2*x + 2*x).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) + (-4)\/(-6). Suppose 5*f + o - 14 - 15 = v, -3*o + 27 = 5*f. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190103 is divided by 190023?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-108)*(-3)\/((-21)\/(-70))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 653564 and 76449?\nAnswer: 33331764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -67586792 and -3.\nAnswer: -67586795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 375031 (base 8) in base 2?\nAnswer: 11111101000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}